university of manchester phd mathematics

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PhD Applied Mathematics

University of manchester, different course options.

• Key information

Course Summary

Tuition fees, entry requirements, similar courses at different universities, key information data source : idp connect, qualification type.

PhD/DPhil - Doctor of Philosophy

Subject areas

Applied Mathematics

Course type

Programme description

The Department of Mathematics has an outstanding research reputation. The research facilities include one of the finest libraries in the country, the John Rylands University Library. This library has recently made a very large commitment of resources to providing comprehensive online facilities for the free use of the University's research community. Postgraduate students in the Department benefit from direct access to all the Library electronic resources from their offices.

Many research seminars are held in the Department on a weekly basis and allow staff and research students to stay in touch with the latest developments in their fields. The Department is one of the lead partners in the MAGIC project and research students can attend any of the postgraduate courses offered by the MAGIC consortium

Opportunities for PhD research are available in a wide range of topics in Applied Mathematics. For some of the available areas of possible PhD research see the current Applied Mathematics research areas. For more details about specific projects, please contact the relevant individual members of staff or get in touch with the Applied Mathematics Postgraduate Admissions Tutor .

UK fees Course fees for UK students

For this course (per year)

International fees Course fees for EU and international students

Applicants should have, or expect to obtain before the start of the course a: 1st or upper 2nd class 4 year undergraduate degree (e.g. MMath) degree (or an equivalent overseas qualification) in a mathematical subject MSc with Merit or Distinction (or an equivalent overseas qualification) in a mathematical subject. In some research areas, a background in physics, engineering or computer science is also acceptable.

MSc Applied Mathematical Sciences

Heriot-watt university, university of essex, applied mathematics phd, university of birmingham, applied mathematics mres, mphil applied mathematics.

• Student intranet /
• Staff intranet

Department of Mathematics

Funding for postgraduate research

There are a variety of funding options for postgraduate research programmes in the Department of Mathematics.

All PhD projects are eligible for funding via a variety of scholarships.

The scholarships listed are awarded competitively among the eligible applicants by the relevant postgraduate funding committees.

Please note that academics regularly apply for research grants and may therefore be able to offer funding for specific projects without requiring approval from these committees.

Explore how you can make the next steps towards your academic or industry career by exploring the postgraduate funding options below.

UK PhD students

The arrangements for supporting postgraduate study are completely different from those for undergraduates. Typically, finance for grants comes from the Government, via the Engineering and Physical Science Research Council (EPSRC) or via one of the other Research Councils. These grants are called studentships and are not means tested. Each research council studentship covers all course fees of £4,712 per annum (2023/24) and provides a stipend for maintenance of £18,622 per annum (2023/24). Studentships are awarded for three and a half years, subject to satisfactory progress.

The financing of EPSRC doctoral training studentships is now administered by the Departments. In order to be awarded such a studentship an applicant will typically need to have a first class honours degree or possibly a good upper second. It is not necessary to make a separate application for these studentships. All UK students who apply for admission to a PhD programme in the Department will automatically be considered for such funding. Applicants awarded EPSRC funds are required by EPSRC to satisfy certain formal UK/EU residence criteria.

We also have a number of Department scholarships available to UK and overseas students which cover course fees and, for UK students, a stipend of £18,622 per annum (2023/24) to cover living costs. These scholarships are awarded for three and a half years, subject to satisfactory progress.

Doctoral loans

Doctoral loans  are available for those studying PhDs (and equivalent doctoral programmes). The amount you'll get isn't based on you or your family's income (Non-means tested) and is available for all types of doctoral study (eg PhD, as well as all professional doctorates such as DBA, EdD). The loan is paid directly to you in three instalments across each year of the course and can be used for course fees and living costs.

For more information, to check your eligibility and find out how to apply,  visit our postgraduate loans for doctoral students page , email  [email protected]  or visit the  GOV.UK  website.

EPSRC Doctoral Training Partnership (DTP) in Mathematical Sciences

Our EPSRC DTP Studentships enable exceptional postgraduate research candidates to typically undertake a 3.5-year research project in the field of mathematical sciences. Each year we have a number of studentships (fees plus standard UKRI stipend) available for application. Overseas applicants are eligible for these studentships. 

How to apply

All applicants who do not have their own funding are automatically considered for all funding schemes they are eligible for.

Our Graduate Development Training Programme is designed to provide research and transferable skills linked to academic progression, personal development and future employability.

The training programme includes discipline-focused training as well as essential workshops addressing areas such as research integrity, research conduct and intellectual property. We also offer a range of transferrable skills courses to support your development as a researcher. All training is provided on a needs-based model.

Early career researchers undertake an annual skills audit to identify gaps in their skills appropriate to their stage of study. They can then be directed to the appropriate training programme to address their needs.

Student support

Students benefit from a wide range of support initiatives ensuring that both their academic and pastoral needs are addressed. PGR Life helps you to make the most of your time as a postgraduate researcher, supporting your research and planning for your future.

For queries regarding the PhD application process, available projects and eligibility please contact:

• Email: [email protected]
• Tel: +44 (0)161 275 0178

EU PhD students

View the latest information for prospective students from the EU .

We have a number of Departmental scholarships available which EU students can apply for, these cover all course fees and provide a stipend of £18,622 per annum (23/24) for living costs. These scholarships are awarded for three and a half years, subject to satisfactory progress.

Heilbronn Doctoral Partnership (HDP)

The Heilbronn Doctoral Partnership (HDP) is a partnership of the Universities of Bristol, Manchester and Oxford with the Heilbronn Institute for Mathematical Research (HIMR) . It funds PhD studentships in Discrete Mathematics, interpreted in its broadest sense, which includes most areas of Pure Mathematics, Computational Statistics, Data Science, Probability and Quantum Information.

In addition to undertaking cutting-edge research in one of the partner universities, students on this programme will have the opportunity to spend nine weeks each summer (in years 1-3) at the HIMR, where they will contribute to the classified research activities of the Institute. However, working at HIMR is not a requirement of the HDP programme. Successful candidates who wish to work at HIMR must satisfy security vetting; UK nationals will normally be able to meet this condition.

Students from traditionally under-represented groups are strongly encouraged to apply.

To apply, please submit a standard PhD application in a relevant area, indicating that you wish to be considered for HDP funding.

International PhD students

Annually, we often can allocate a number of Overseas Department Scholarship Awards. These awards normally constitute tuition fees (£26,500 per annum for 2023/24) and are awarded competitively. These scholarships are awarded for three years or three and a half years, subject to satisfactory progress.

Chinese students may be eligible for the China Scholarship Council awards .

Faculty of Science and Engineering funding

The Faculty of Science and Engineering also offer a number of awards and scholarships to support postgraduate researchers:

President's Doctoral Scholar (PDS) Award

The President’s Doctoral Scholar (PDS) Award is the University’s flagship funding initiative, and is strongly supported by the University's President and Vice Chancellor, Professor Dame Nancy Rothwell.

The award is open to all nationalities and supports students of the highest calibre, who have the commitment and desire to work on challenging research projects in world-leading research environments.

For further information, please visit the  PDS website .

Dean's Doctoral Scholarship

The Dean's Doctoral Scholarship also supports researchers of the highest calibre from any country. It provides researchers with the chance to make a difference and become part of an innovative community whose work changes lives

For further information, please visit the Dean's Doctoral Scholarship page.

Postgraduate Research Teaching Associate (PGRTA) Scholarship

The PGRTA Scholarship is open to UK researchers and allows students to tackle areas of key research, whilst developing teaching experience and earning a combined teaching salary and stipend.

For further information, please visit the  PGRTA page.

In addition to these three awards, there is other postgraduate research funding available at faculty level which can be found on the Faculty of Science and Engineering funding page .

Alternative sources of funding

Students who are not offered EPSRC or Department funding but who still wish to study here may choose to support themselves. Many students choose to do this and support may be available from a variety of sources, for example by taking out a career development loan .

Alternative funding sources are also available. The University has a subscription to The Alternative Guide to PG Funding . This published guide and online resource provides a comprehensive overview of how to find and apply to alternative sources of funding, particularly charities, that make awards to current and prospective postgraduate students.

Funded projects in mathematical modelling

Join a community of postgraduate researchers focusing on mathematical modelling, AI and big data as well as engagement with researchers based in other departments or in industry.

Research projects

Explore the research projects available to postgraduate students in our Department.

Explore our projects

Faculty funding

Discover the funding options offered by the wider Faculty of Science and Engineering.

President's Doctoral Scholar Award

The University’s flagship postgraduate funding scheme, supported by Dame Nancy Rothwell.

Mathematics and Data for Scientific and Industrial Modelling (MADSIM)

Mathematics and Data in Scientific and Industrial Modelling (MADSIM)

Join a community of postgraduate researchers focusing on mathematical modelling, AI and big data as well as engagement with researchers based in other departments or in industry.

Get in touch with the MADSIM team.

Prof Stefan Güttel >>

Dr Geoffrey Evatt >>

• Encourage, through joint PhD project supervision, collaboration between different Departments in The University of Manchester, and engagement with industry;
• Provide a community for our PhD students with common research interests more broadly than a typical close-knit research group;
• Provide PhD students with training opportunities via internal seminars, journal reading groups, and participation in events such as modelling challenges or industrial problem events.

Apply to study with us in September 2023

We have a number of exciting interdisciplinary PhD projects available for a start in September 2023, or as soon as possible thereafter. All projects are full funded and come with a stipend.

Explore the list below and click on the "view details" button to learn about the supervisor and project requirements.

Current students, supervisors and projects

Discover more about some of the students that are currently working with us.

Students commenced 2021 - 2022

Sammy Ayoubi Project: Control-based exploration of disordered systems in a Hele-Shaw cell Maths supervisors: Alice Thompson Eternal supervisor: Anne Juel (Department of Physics and Astronomy)

Daniel Ball Project: Artificial intelligence and advanced modelling for ground penetrating radar Maths supervisor: Oliver Dorn External supervisor: Frank Podd (Department of Electrical and Electronic Engineering)

James Casey Maths supervisor: Simon Cotter External supervisor: Tom Shearer (Department of Materials)

Peter Castellucci Project: Hybrid mathematical modelling and uncertainty qualification for underground hydrogen storage systems Maths supervisor: Igor Chernyavsky External supervisors: Lin Ma (Department of Chemical Engineering) and Radha Boya (Department of Physics and Astronomy)

Oliver Graham Maths supervisors: Bill Lionheart External supervisor: DSTL

Suzie Huang Maths supervisor: Paul Johnson External supervisor: Department of Mechanical, Areospace and Civil Engineering

Callum Jackson Maths supervisor: Andrew Hazel

Ayana Mussabayeva Project: Learning chemical reactions from simulated and measured data Maths supervisors: Stefan Guettel, Kody Law, Matt Thorpe External supervisors: Igor Larosa (Department of Chemistry)

Alban Bloor Riley Project: Inverse eigenvalue problems in spin spectroscopy Maths supervisor: Marcus Webb External supervisors: Mike Baker (Department of Chemistry)

Bunlang Thatchai External supervisor: Thomas House External supervisors: Termeh Shafie (Department of Social Sciences) and Chris Overton (UKHSA)

Students commenced 2020 - 2021

Georgia Bradshaw Project: Spectral methods for inhomogeneous radiation chemistry Maths supervisor: Marcus Webb External supervisor: Fred Currell (Department of Chemistry)

Anna Gavrilova Project: Intracellular transport in neurons Maths supervisor: Sergei Fedetov External supervisor: Victoria Allen (Division of Molecular and Cellular Function)

Shing Kwong Project: Novel mathematical models for understanding the evolution of birdsong Maths supervisor: Mark Muldoon External supervisors: Tucker Gilman (Department of Earth and Environmental Sciences) and Patrycja Strycharchzuk (Department of Linguistics and English Language)

Jessica Mackin Project: ODE models of the cell biology of inflammation and apoptosis Maths supervisor: Mark Muldoon External supervisors: Mike White (Division of Molecular and Cellular Function) and Andrew Gilmore (Division of Cancer Sciences)

Mark Mesbur Project: Multi-scale modelling of composite materials Maths supervisor: Will Parnell External supervisor: Paola Carbone (Department of Chemical Engineering)

Aidan Retallick Project: Modelling graphene membranes for nano-electro-mechanical devices Maths supervisors: Matthias Heil and Andrew Hazel External supervisor: Aravind Vijayaraghavan (Department of Materials)

James Shemilt Project: Modelling lung deposition of inhaled particles in cystic fibrosis Maths supervisors: Oliver Jensen and Alice Thompson External supervisors: Carl Whitfield and Alex Horsley (Faculty of Biology, Medicine and Health)

Chung Tran Project: Artificial intelligence and advanced modelling for ground penetrating radar Maths supervisor: Oliver Dorn External supervisor: Frank Podd (Department of Electronic and Electrical Engineering)

Tianran Wan Project: Multimodal data-based modelling for precision obstetrics medicine Maths supervisors: Igor Chernyavsky and Oliver Jensen External supervisors: Edward Johnstone (Department of Maternal and Fetal Health) and Hwee Kuan Lee (Department of Bioinformatics)

Alternatively, use our A–Z index

Attend an open day

Discover more about postgraduate research

PhD Financial Mathematics / Programme details

Year of entry: 2024

• View full page

Programme description

Opportunities for PhD research are available in a range of Financial Mathematics research topics or Mathemathics research areas . For more information, please see advice on choosing a project or find out more about specific projects . Please contact the relevant individual members of staff for information about a specific project, or get in touch with the  Postgraduate Admissions Tutor .

Students may enter our graduate programme in Mathematical Finance by initially taking our taught M.Sc. course over 1 year. This, subject to satisfactory progress, can lead to admission to the PhD programme.

Additional programme information

Equality, diversity and inclusion is fundamental to the success of The University of Manchester, and is at the heart of all of our activities.

We know that diversity strengthens our research community, leading to enhanced research creativity, productivity and quality, and societal and economic impact.

We actively encourage applicants from diverse career paths and backgrounds and from all sections of the community, regardless of age, disability, ethnicity, gender, gender expression, sexual orientation and transgender status.

We also support applications from those returning from a career break or other roles.

We consider offering flexible study arrangements (including part-time: 50%, 60% or 80%, depending on the project/funder), carer support funds for conferences, and peer support networks for parents and carers.

All appointments are made on merit.  The University of Manchester and our external partners are fully committed to equality, diversity and inclusion.

Related research

The Probability and Statistics group comprises 16 members of staff and has an international reputation for its research with 20% of its activity rated `world leading' in the RAE 2008 (the group's research activity in Probability was flagged as 5* in the RAE 2001).

Mathematical Finance is a very active branch of Probability Theory and Mathematics in general. It is probably one of the few areas in academic research which interact constantly with their field of application and with a huge impact on the daily functioning of the world's financial institutions.

There is a long tradition of Probability and Statistics at Manchester - the chair in Mathematical Statistics is one of the oldest established chairs in the UK. Previous members of staff include such well known names as Bartlett, Cane, Gani, Laycock, Papangelou, Parthasarathy, Priestley, Subba Rao and Whittle.

PhD and MPhil supervision is provided in all areas of research of the group. This includes three main areas of specialisation (listed alphabetically): (i) Financial Mathematics; (ii) Probability; (iii) Statistics. A partial list of current research topics can be found here .

Scholarships and bursaries

In the Department of Mathematics we offer a range of scholarships, studentships and awards to support UK and overseas postgraduate researchers.

Funding is also available at university and faculty level and can be viewed on our funding page . Alternatively, you can use our funding database to find scholarships, studentships and awards you may be eligible for.

We'd recommend you discuss potential sources of funding with your supervisor before applying. They can advise what funding may be available to you, and ensure you meet nomination and application deadlines.

Disability support

PhDs in Science and Engineering

Offer holders

HELLO TOMORROW

Cdts recruiting this september.

Fully-funded places in Centres for Doctoral Training for nuclear energy and AI.

A Manchester PhD could change your tomorrow.

This is the place where the atom was split, graphene was discovered and AI was born. It could be your home too.

Whether you're interested in a CDT, an MPhil, a PhD, Eng D or MSc by Research, this page will take you through the process of becoming a Manchester postgraduate researcher, from finding your research passion, to knowing how it’ll be funded.

Right, let’s start your tomorrow.

Choose your own path

Join a global institution where you can choose between full or part time projects, develop transferable skills, accelerate your career and forge the future you want.

Innovate and create

Our postgraduate researchers work at the cutting-edge of research, making important breakthroughs, big and small, as we build a better future together.

A different place

Enjoy life in a multicultural city, that people who think differently are proud to call home, and feel you belong as part of our diverse research community.

World leading facilities

We’re home to some of the best facilities in the world, from the biggest electrical infrastructure test facility in UK academia, to the only in-land wave tank in the UK.

Discover your tomorrow

Get ready for a life changing experience like no other.

Ours is a diverse community, with talented researchers from different countries, cultures, backgrounds and beliefs, where everyone is welcome. That's why we've got flexible pathways to support you, whatever your background or career stage. Hear from current postgraduate researchers and discover more about PhD life at Manchester.

Getting started

Is postgraduate research at manchester for you.

At Manchester we actively encourage applicants from diverse career paths and backgrounds, and from all sections of the community, regardless of age, disability, ethnicity, gender, gender expression, sexual orientation and transgender status.

We're looking for postgraduate researchers that not only meet our entry requirements but also possess key attributes and characteristics which we think make an excellent Manchester researcher.

Before you start your journey, use our eligibility checker to discover whether you've got what it takes to become a postgraduate researcher in the Faculty of Science and Engineering at Manchester.

Check your eligibility

Join our newsletter

Sign-up to our newsletter and receive monthly updates and tips on applying for postgraduate research in the Faculty of Science and Engineering.

• Find out about the latest featured and live projects
• Be the first to hear about newly launched funding opportunities and events
• Listen to advice and tips from currently postgraduate researchers and our support teams
• And much more

Choose your research area

What inspires you.

Your tomorrow should be built on your research passion. Start your PhD journey by finding the research project that best suits you.

Browse across our  nine Departments and research areas ,  innovative Centres for Doctoral Training (CDTs) , and international joint and dual awards . Alternatively, head straight to  our project search  to find all of our live advertised projects, or to our  supervisor search  to start by finding a suitable supervisor.

Browse by department and research theme

Already know which area you want to research?

Learn more about the research themes and vast range of expertise in each of our nine Departments, and browse live projects for each area:

• Chemical Engineering - including catalysis and porous materials; process integration; and sustainable industrial systems.
• Chemistry - including biotechnology; inorganic, materials, organic, physical, and theoretical chemistry disciplines.
• Computer Science - including computer systems engineering; data engineering; and software systems engineering.
• Earth and Environmental Sciences - including atmospheric sciences; ecology and evolution; palaeontology; and planetary science.
• Electrical and Electronic Engineering - including specialist programme options in electrical and electronic engineering.
• Materials - including biomaterials; fashion management and marketing; metallurgy and corrosion; nanomaterials; and textiles and apparel.
• Mathematics - including applied maths; financial maths; mathematical logic; probability; pure mathematics; and statistics.
• Mechanical, Aerospace and Civil Engineering - including environmental engineering; management of projects, and nuclear engineering.
• Physics and Astronomy - including accelerator, nuclear and particle physics; astronomy, astrophysics and cosmology; condensed matter, atomic and biological physics; theoretical physics.

Browse all live projects

Want to search projects across the Faculty of Science and Engineering?

Simply head over to our project search to browse live projects from across the Faculty of Science and Engineering, and find a project you're passionate about.

Search live projects

Centres for Doctoral Training

Want to combine research with practical training and collaborate across research areas and institions?

Find out more about our Centres for Doctoral Training which offer fully funded PhDs in a range of research areas including advanced biomedical materials, graphene, integrated catalysis, and nuclear energy.

Explore doctoral training

Dual and joint awards

Want to carry out some of your research in a different country?

Discover more about our dual and joint award partnerships with prestigious universities across the world, and opportunities to research in both Manchester and Australia, China, Japan, or India.

Browse joint and dual awards

Found a project you're passionate about and ready to apply? Get started with your application right here.

Find a supervisor

Where to start.

Getting in touch with a potential supervisor for your project is a crucial part of your PhD journey.

• Tell you more about a project and the team you could work with.
• Nominate you for one of our funding scholarships.
• Sponsor your proposed research idea.
• Support you at every stage of your research journey.

Search for researchers by name or area of research

Found a supervisor and spoken to them about supporting you and your application for postgraduate research? Get started with your application right here.

Fund your research

Find the funding you need.

There are lots of ways you can secure funding for your postgraduate research.

Depending on the project you're applying for and when you're applying, there are a range of options available to you:

• Funded projects - when browsing projects filter your search by 'Funding Status' and check the 'Funding' section to see whether the project itself is already funded.
• University, Faculty and Department funding - if the project you're interested in isn't funded, use our funding database below to browse scholarships and awards which you may be eligible to apply for, or speak to our admissions team or your supervisor about other potential sources of funding.
• Self-funded or government sponsored projects - if you're self-funded or government funded then we'll need to see proof of funds or a letter from your sponsor when you apply.

Search our funding database

Additional funding support.

Funded projects and scholarships aren’t the only ways you can fund your postgraduate research.

• Postgraduate loans – you might qualify for a non-means tested loan from the UK Government. Paid directly to you, these re-payable loans contribute towards the cost of your study.
• Funding for students with disabilities – talk to our Disability Support Office about the external sources of financial support that might be available.
• Work while you study – our schools and faculties offer additional opportunities to supplement your income, including tutoring and graduate teaching assistant roles.

Thought about how you'd like to fund your postgraduate research and all set to apply? Get started with your application right here.

Meet our researchers

Hello charlotte.

"I really love just walking around Manchester; there’s something for everyone here."

Hear how Charlotte balances her research, teaching and life in a city she calls home.

Meet Charlotte

Hello Toufic

"Life as a postgraduate researcher varies."

Toufic tells us about the ups and downs of his research and how he's taking advantage of the industry links at the University.

Meet Toufic

"Manchester really stood out for me because there are so many world leading projects going on here."

Jie tells us about her research and the opportunities she's discovering.

Why Manchester?

Your future starts here.

A brilliant campus, at the heart of the UK's most liveable city.

Discover our campus

Explore the city

What's next?

Progress your application.

So, you've found a research area to focus on, and a supervisor to support you. You also know how you want to fund your project. But what's next?

1. Check the specific entry requirements and tuition fees for your programme in our  course profile section .

2. Read our short guide to what you'll need to start your application.

3. Make sure you have all of your information to hand before you start the form. Use our application checklist to tick off everything you need.

4. Complete our online application form

Your application checklist

Start your new tomorrow.

Not long to go now...the final step is your application.

Before you apply, remember that your application is more likely to be successful if you have already made contact with potential supervisors , to find out if they are able to offer supervision in your area of interest.

Apply for an advertised project or CDT

You won’t need to submit a research proposal, you'll just need the relevant project title and supervisor(s).

Apply for your own research project

You’ll need to submit your research proposal and the name of the supervisor/s you have identified as part of your application.

Got a question? We're here to help!

Not sure where to start or got a question about applying, funding or something else?

Chat to our friendly application team today

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PhD in Pure Mathematics and Mathematical Statistics

Postgraduate Study

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Primary tabs

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• How To Apply

This course is a three to four year programme culminating in the submission and examination of a single research thesis.  Students joining the course will often have completed prior study at a level comparable to our Part III (MMath/MASt) course and many have postgraduate experience. Our students, therefore, begin their PhD research with a good understanding of advanced material, which they build on in various ways throughout the course of their PhD studies.

Structure of the PhD

Students are required to undertake a minimum of nine full-time terms of research (ie three years). Students are not registered for the PhD in the first instance but are instead admitted on a probationary basis. All students are assessed for registration towards the end of their first year of full-time study (usually June). This assessment is based on a short written report which is reviewed by two assessors. In the fifth term, there may also be a further assessment of progress, for which students submit a longer piece of written work and receive an oral assessment.

Research areas

Research in DPMMS can be divided into the following broad areas: Algebra, Algebraic Geometry, Analysis and Partial Differential Equations, Combinatorics, Differential Geometry and Topology, Number Theory, Information and Finance, Probability, and Statistics. The boundaries between such areas are not rigid, however, and staff may contribute to more than one area.

Additional training and opportunities

Whilst there are no mandatory taught components to the PhD degree, students may wish to undertake specific courses or further training to expand their knowledge, either for personal interest or to directly assist with their PhD research. All students are encouraged to participate in and attend the wide range of lectures, seminars and events on offer within DPMMS and the Centre for Mathematical Sciences.

Many students submit a prize essay at the beginning of their fifth term. The best essays each year are of a scale and quality already adequate for a PhD thesis, incorporating work already, or about to be, published. We intend that our students publish their work in leading journals. Our PhD students might have written several papers before they submit their thesis, and can go on to win academic positions at leading institutions around the world.

DPMMS also promotes and encourages researcher development and transferable skills training. This can take the form of assisting with Part III preparatory workshops, attendance at skills-based training sessions, or presenting work at seminars and conferences. The University also offers training via the Researcher Development Programme .

There is no requirement for PhD students to teach but there are plenty of opportunities to do so, such as offering supervisions for third-year undergraduates (this involves the supervisor sitting with a pair of students for an hour, discussing their work). PhD students might help with running examples classes for Part III students, too.

The Postgraduate Virtual Open Day usually takes place at the end of October. It’s a great opportunity to ask questions to admissions staff and academics, explore the Colleges virtually, and to find out more about courses, the application process and funding opportunities. Visit the  Postgraduate Open Day  page for more details.

See further the  Postgraduate Admissions Events  pages for other events relating to Postgraduate study, including study fairs, visits and international events.

Departments

This course is advertised in the following departments:

• Faculty of Mathematics
• Department of Pure Mathematics and Mathematical Statistics

Key Information

3-4 years full-time, 4-7 years part-time, study mode : research, doctor of philosophy, department of pure mathematics and mathematical statistics this course is advertised in multiple departments. please see the overview tab for more details., course - related enquiries, application - related enquiries, course on department website, dates and deadlines:, michaelmas 2024.

Some courses can close early. See the Deadlines page for guidance on when to apply.

Funding Deadlines

These deadlines apply to applications for courses starting in Michaelmas 2024, Lent 2025 and Easter 2025.

Similar Courses

• Mathematics MPhil
• Mathematics (Theoretical Physics) MASt
• Mathematics (Applied Mathematics) MASt
• Mathematics (Mathematical Statistics) MASt
• Mathematics (Pure Mathematics) MASt

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Research Programmes

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• Postgraduate Study

The Faculty of Mathematics offers three doctoral (PhD) and one MPhil research programmes.

Select a course below to visit the University’s Course Directory where you can read about the structure of the programmes, fees and maintenance costs, entry requirements and key deadlines.

Research Areas and Potential Supervisors

Determining whether your interests and ambitions align with our research and expertise is a vital part of the application and admissions process. When we receive your formal application, we will consider the information you provide on your research interests carefully, alongside other factors such as your academic suitability and potential, how you compare to other applicants in the field, and whether we have a suitable academic supervisor with the capacity to take on new students.

We are committed to widening participation in mathematical research at Cambridge. We welcome and encourage applications from people from groups underrepresented in postgraduate study.

Before making an application to study with us we recommend you:

• Investigate our areas of research and consider how they fit with your interests and ambitions.

A list of broad research areas is provided below, together with links to further information. Your interests may span more than one area. On your application form you will be asked to indicate at least one broad area of interest. This is to help us direct your application to the most suitable group of people to review it.

• Identify 2 or 3 appropriate supervisor(s) with whom you might work.

The information linked below will take you to lists of supervisors working in each broad research area, with an indication of their availability. You are encouraged to make informal contact with potential supervisors prior to making an application. Initial contact should be made by email. In your email we recommend you provide a concise explanation of your areas of interest, how your research interests align with the supervisor(s) research, and that you highlight any relevant work you have done in this area. We recommend that you attach an up-to-date CV. The purpose of this contact is to enquire on supervisor capacity and willingness to supervise, and to see if there is a good fit between your interests and theirs.

If you haven’t had a response to an informal enquiry, you are still welcome to apply and list the individual concerned on your application form, although you may also wish to consider other options.

• Give some thought to your intended research and why you want to study with us.

On your application form you will be asked to submit a short research summary, details of your research experience and your reasons for applying to undertake a PhD/MPhil with us. Whilst you are not expected to submit a detailed research proposal at any stage of the process, we do want to know that you have considered the areas of research that you wish to pursue.

Research areas

Click on a research area to find out more about available supervisors and their research:

Please note that a  large majority of the successful applicants for PhD studentships with  the High Energy Physics, and General Relativity & Cosmology (GR) groups   will have taken Part III of the Mathematical Tripos.

Funding Opportunities

Each Department works hard to secure funding for as many offer holders as possible, either from within its own funds, in collaboration with funding partners, or via the University Postgraduate Funding Competition. However, funding is not guaranteed via these routes, and you should investigate funding opportunities early in the process to be sure that you can meet advertised deadlines.

All application deadlines are 23:59pm (midnight) UK time on the stated date. So that your application can be given full consideration please apply by the following deadlines:

Note for PhD applicants:

We will accept applications for an October start up until the general University deadline in May, but your chances of obtaining funding are significantly reduced. In addition, space limitations may mean that late applications cannot be considered (i.e., the most appropriate supervisor may already have committed to taking other students).

Only in exceptional circumstances will we consider admission to a later start date in the academic year (i.e., January or April). If you intend to apply for a later start date please contact us at [email protected] so we can advise you on the feasibility of your plan.

Note for MPhil applicants:

We will accept applications until the general University deadline in February, but you will not be considered for funding. In addition, space limitations may mean that late applications cannot be considered (i.e., the most appropriate supervisor may already have committed to taking other students).

Most interviews are expected to take place in the second half of January.

The purpose of the interview is to try to ascertain the extent of the applicant's relevant knowledge and experience, and to gauge whether their interests and abilities align with the research of the potential supervisor and/or research group. It will most likely consist of a discussion of your background and motivations for applying to the course, as well as some questions on relevant topics.

Not all applicants will be selected for interview.

If you are selected for interview, you will be contacted by email at the address you provided on your application. The email should confirm:

• the location of the interview (it may be in-person or on-line dependent upon interviewer availability, your distance from Cambridge, as well as individual preferences),
• the interview format and whether you should prepare anything specific in advance,
• the approximate duration of the interview,
• who you will be meeting.

Prior to interview you may declare a disability, serious health problem or caring responsibility which may require reasonable adjustments for the interview to be made.

Due to interviewer availability and the tight admissions timetable, we can usually only rearrange the time and date of your interview under exceptional circumstances.

Decision timeline

Both DAMTP and DPMMS make most of their PhD/MPhil admissions decisions for October entry in January and early February, and you should not expect to receive a decision on your application before mid-February (even if you apply much earlier). We expect to have made decisions on all applications by mid-July. The Department makes every effort to take decisions on applications at the earliest opportunity. In some cases, however, it may take some time for a decision to be made. Applications may need to be viewed by several potential supervisors before a final decision can be reached.

To consider your application formally we must receive a complete application form, together with all supporting documents, by the deadline.

Communication of outcomes

You will be notified of the formal outcome of your application via the Applicant Portal.

Following an interview, you can normally expect to receive notification of the outcome within a week or two.

If you are successful, the University’s Postgraduate Admissions Office will issue a formal offer of admission which will outline all your conditions. As processing times can vary, we may also contact you informally to notify you of our decision.

We do not provide formal feedback to applicants who are unsuccessful at either the application or interview stage.

Take a look at our frequently asked questions for PhD applicants.

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Department of Mathematics

• Graduate Program

PhD Program

The PhD in mathematics requires:

• A total of 90 credit hours*, including seven core courses and five formal 500 level courses.
• Four written preliminary exams .
• A 1 credit professional development course, MATH 492, taken during the first fall semester in the PhD program. (Only for classes entering fall 2018 and later.)
• A 1 credit current topics in math course, MATH 483, taken during the second fall semester in the PhD program. (Only for classes entering fall 2017 and later.)
• An oral preliminary exam .
• A doctoral thesis .

*Students can transfer up to 30 credits for a master's degree earned elsewhere.

Students must also satisfy a three-year teaching requirement, fulfilled by teaching assistantships. Currently most grad students who do not have a special fellowship get a 22k annual living stipend and free tuition which is contingent on about 10 hours of teaching work per week during the fall and spring semesters. This teaching component often includes a combination of teaching of recitations, workshops and/or grading homework assignments—those with good evaluations can sometimes get assigned to teach a section of a course which results in additional pay beyond the 22k stipend. No summer duties are associated with the stipend but student's wishing to earn some extra money can apply to teach summer courses for the department also.

PhD students should apply for a master’s degree when 30 credits are accumulated and the Master's degree requirements outlined below are met. Students will be awarded an MA in mathematics once the requirements are met and the master's program form is completed. (See the graduate coordinator for the necessary forms.)

Students may also be asked to participate in the graduate students seminars.

Typically students complete the PhD in four to six years.

Earning a Masters degree along the way to a PhD

PhD students should apply for a master’s degree when 30 credit hours of gradaute courses in the math department are accumulated. Courses with substantial mathematical content from outside of the math department can be used to meet the rest of the 30 credit hour requirement, but they need to be pre-approved by the graduate committee. The credits must include at least 5 of the 7 core courses. The courses must be passed with a minimum grade of B-.

Getting a pass on a prelim exam exempts a student from taking the corresponding core course, but does not grant credit hours.

Students will be awarded an MA in mathematics once the requirements are met and the master's program form is completed. (See our graduate administrator for the necessary forms.) Students have 2 years for the completion of the Master’s degree requirements.

Registration

Graduate students who are teaching assistants must register for a minimum of 18 credits for the academic year (9 credits per semester).

Graduate students who are not teaching assistants must register for a minimum of 24 credits per year (12 credits per semester).

Once a PhD student has completed 90 credits during the PhD program, all remaining credits must be taken via the continuation status placeholder course MATH 999. At this stage no further courses appear on your graduate transcript though you may continue to take courses on any topics you desire as you work to complete your PhD research. Typically students transition to the placeholder MATH 999 only sometime in the middle of their 5th year and stay at that status until completion of degree.

Students in continuation status get charged an approximately U.S. 1000 fee per semester in their 6th year and onwards. This fee is subtracted from their stipend.

Top ↑

Students must take all seven core courses in their first three years, or demonstrate proficiency by passing the prelims in the respective topics. The seven courses need to be passed with a B- or better grade. If possible, students should take advanced courses in their chosen area in the second year. Students are required to maintain a B average or better.

Core Courses

MATH 403: Probability Theory MATH 436: Algebra I MATH 437: Algebra II MATH 440: General Topology MATH 453: Differentiable Manifolds MATH 471: Analysis I MATH 467: Analysis II

Sample Schedule

The following schedule allows students to pass the prelims by August at the end of their first year, and start research quickly.

Students must pass four written preliminary exams (prelims) of their choosing from the prelims corresponding to the 7 core courses. Prelims need to be passed with at least 3/5 problems substantially correct. Prelims are given during the year, as part of the final exams of the corresponding courses, and again in August.

Students are required to pass exams according to the following schedule:

• One exam passed by the end of May in their first year
• Two exams passed by the end of August of after their first year.
• At least three passes by the end of December of their second year. If a student fails to satisfy this or the previous requirement, they can continue in the program, but will separate at the end of the Spring semester.
• All four prelims must be passed by the end of May of the second year.
• Note, that regardless of which courses a student chooses for their prelim exams, they must pass all 7 core courses with the minimum grade of B- by the end of their second year.

Preliminary exams:

• Probability Theory (MATH 403)
• Algebra I (MATH 436)
• Algebra II (MATH 437)
• Analysis I (MATH 471)
• Analysis II (MATH 467)
• Topology (MATH 440)
• Geometry (MATH 453)

Each prelim has five problems, and grades are based on the number of questions which are substantially correct. A score of three or higher is considered a pass for the prelim. Getting a pass on a prelim exam satisfies the requirement of passing the corresponding course as well.

Topics covered on Prelims and list of study books:

• Algebra I prelim topics
• Algebra II prelim topics
• Analysis I prelim topics
• Analysis II prelim topics
• Topology prelim topics
• Geometry prelim topics
• Probability prelim topics

Past Prelims

Here are some past prelims in pdf form:

• Algebra I : 2020-August , 2021-Fall , 2022-August
• Algebra II : 2020-Spring , 2021-Spring , 2022-Spring
• Analysis I : 2021-August , 2022-August , 2022-Fall
• Analysis II : 2019-Spring , 2019-August , 2022-Spring
• Topology : 2020-Fall , 2021-Fall , 2022-Fall
• Geometry : 2020-Spring , 2021-Spring , 2022-Spring
• Probability : 2023-Spring , 2023-August
• December 2013
• August 2013
• December 2012
• August 2012
• December 2011

Oral Preliminary Exam

The oral preliminary exam should be taken within six months of passing the written prelims. The exam is on a substantial paper, generally in the thesis area, selected in consultation with the thesis advisor. This exam must be passed at least six months before the thesis defense. Students are  encouraged to pass their oral exam by the end of their third year in the program. They are required to pass it by the end of their fourth year.

Doctoral Thesis

The main requirement for the PhD is completion of a doctoral thesis, written under supervision of an adviser. Upon completion of the thesis, students must schedule a thesis defense.

Students will need to find a thesis adviser after they pass the prelims.

Cise Unluer

• Professor of Engineering Net Zero , Infrastructure and Resilience

Accepting PhD Students

Personal profile

Cise leads the Manchester CREATES team , whose mission is to contribute to a sustainable built environment and circular economy through the development of innovative and functional construction products with high performance, durability and efficiency.

Our research involves the use of various experimental and analytical techniques for the advancement of scientific knowledge and applications related to innovations in sustainable concrete materials.

In our work, we focus on the use of waste materials, carbon sequestration, recycling,  machine learning, self-healing and 3D printing processes. Within these topics, we are interested in studying the relationship between reaction mechanisms, mechanical performance and microstructural development, as well as the environmental impacts of various binder systems and materials.

You can obtain more information about our work by browsing through our team , research areas and publications .

For potential collaborations or interest in our work, feel free to connect with us on Google Scholar , LinkedIN , ResearchGate , Web of Science , ORCID , and LinkedIN .

Qualifications

Massachusetts Institute of Technology

Research Associate in the Concrete Sustainability Hub, 2012-2013

University of Cambridge

PhD in Structural and Environmental Engineering, 2009-2012

Imperial College London

MSc in Concrete Structures and Business Management, 2006-2007

Vanderbilt University

BEng in Civil Engineering and Mathematics, 2002-2006

Research interests

We are currently working on 10 main topics:

• Development of carbon-neutral construction products involving CO2 sequestration
• Sustainable production of cement from locally available waste materials
• Advancement of alternative binders involving wastes and industrial by-products with enhanced hydration and performance
• Development of fibre-reinforced composites with self-healing ability
• Use of 3D printing for the rapid production of sustainable construction components
• Application of machine learning algorithms for performance prediction of concrete mixes
• Durability assessment of alternative binders with different reinforcement systems
• Recycling and reuse of constriction materials
• Life cycle assessment and cost analysis of construction materials
• Transformation of vacant and derelict lands into usable spaces

For more details on the areas we are working on, please refer here .

Current projects:

Changing the Environment 2021 (£10.2 million): Natural Environment Research Council (NERC), Delivering a Climate Resilient City through City-University Partnership: Glasgow as a Living Lab Accelerating Novel Transformation ( GALLANT ), partnership between University of Glasgow and Glasgow City Council, 31.01.2022-31.12.2026 (5 years) (co-PI, Work Package lead on simultaneous carbon sequestration and pollution remediation)

Reinvigorating Research Grant (£40,000): University of Glasgow, Creation of value from the innovative transfer of wastes to sustainable materials, 15.01.2022-15.07.2022 (6 months) (PI)

Transforming Systems through Partnership (£80,000): Royal Academy of Engineering (UK), Thermal energy storage in building elements (TESBE): Development of novel and low-cost sustainable composites for enhanced building energy efficiency and occupant thermal comfort, 15.04.2021-15.04.2023 (2 years) (PI)

Newton Fund Institutional Links (£234,158.16): British Council (UK), Climate resilient 3D-printable building components incorporating sustainable and low-cost materials (3D-PC): Providing low-cost and high-speed housing for vulnerable populations, 17.02.2021-16.02.2023 (2 years) (PI)

International Collaboration Awards (£224,959.62): Royal Society (UK), The integration of permanent storage of CO2 and industrial wastes in construction materials: Towards a sustainable built environment, 1.12.2020-30.11.2023 (3 years) (PI)

Cities of Tomorrow R&D Programme ($579,240): Ministry of National Development and the National Research Foundation (Singapore), Production of MgO cement from waste reject brine obtained from desalination plants (Award No: CoT-V1-2020-1), 01/2021 (PI)

Academic Research Fund Tier 2 Grant ($1,052,957): Ministry of Education (Singapore), Novel and carbon-neutral concrete products incorporating local waste products, 01/2018 (co-PI)

Completed projects:

Academic Research Fund Tier 1 Grant ($250,000): Ministry of Education (Singapore), Development of novel cements with optimised carbon capture capabilities, 03/2015 (PI)

Academic Research Fund Tier 1 Grant ($99,900): Ministry of Education (Singapore), Enhancing the hydration and mechanical performance of sustainable novel binders incorporating waste materials, 11/2016 (PI)

Berkeley Education Alliance for Research in Singapore (BEARS): National Research Foundation (Singapore), Building Energy Efficiency & Sustainability in the Tropics (SinBerBEST) Program, 01/2017 (PI)

NTU Preparatory Research Grant ($50,000): School of Civil & Environmental Engineering, 06/2013 (PI) NTU Seed Grant ($50,000): Sustainable Earth Office, Carbon negative construction products, 05/2014 (PI)

SMART Innovation Centre Grant ($50,000): Development of novel sustainable concrete products with the ability to gain strength by sequestering CO2, 06/2016 (PI)

3M Innovation Singapore Pte Ltd ($50,000): Investigation of the use of glass microspheres within construction products, 07/2016 (PI) Heptagon Pte Ltd ($20,000): Investigation of the properties and incorporation of used fire blankets for the development of sustainable cement mixes, 02/2016 (PI)

NTU-Technion Joint Project Seed Grant ($10,000): Environmentally friendly defragmentation of reinforced concrete elements with simultaneous production of recycled aggregates, 09/2015 (PI)

NTU-JTC Industrial Infrastructure Innovation Centre ($22,000): Sustainable infrastructure, 08/2015, 2016, 2017, 2018 (PI)

PhD Studentships: NTU School of Civil & Environmental Engineering (x2), NTU Interdisciplinary Graduate School (x1), Cambridge Centre for Advanced Research in Energy Efficiency in Singapore (x1), 2014-15 (PI)

JOIN OUR TEAM:

If you are interested in a postdoctoral position , please feel free to get in touch (cise.unluer[at]manchester.ac.uk) with your latest CV with 2-3 most recent journal publications.

Fellowship Opportunities : We are keen on supporting strong candidates for various fellowships. Please check other fellowship opportunities and get in touch with us if you would like to apply to one of these: EPSRC Fellowships , Marie Curie Fellowship , Newton International Fellowships , Royal Academy of Engineering Fellowships , STFC Fellowships , Leverhulme Trust Fellowships , Ernest Rutherford Fellowships , Royal Society University Research Fellowship ,  Royal Society Dorothy Hodgkin Fellowship , Royal Society Grants

For prospective PhD students , the detailed application process is available here . Our group has open PhD positions in the broad area of smart and sustainable construction materials; and low carbon cement and concrete. More information on PhD funding opportunities can be obtained from the following links:

Find a PhD project

Postgraduate research funding opportunities

Civil engineering postgraduate research funding opportunities

We accept CSC applicants interested in pursuing a PhD or 1-year exchange with us at Manchester:

University of Manchester - China Scholarship Council joint scholarship

Some other specific funding opportunities are listed below:

President’s Doctoral Scholar award

Dean's Doctoral Scholarship Award

EPSRC Doctoral Training Partnership (DTP)

School of Engineering Graduate PhD Scholarship

Funds for Women Graduates

A* STAR PhD Programme

Further information

Cise is available for consultancy and public & media engagement on different topics including sustainable construction, novel construction materials, low carbon cement and concrete, resource efficiency, life cycle assessment, industrial decarbonisation and circular economy. Please feel free to get in touch at cise.unluer[at]manchester.ac.uk.

Contact details: Google Scholar , LinkedIN , ResearchGate , Web of Science , ORCID , LinkedIN

Expertise related to UN Sustainable Development Goals

In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):

Education/Academic qualification

Master in Science, Imperial College London

Doctor of Engineering, University of Cambridge

Bachelor of Engineering, Vanderbilt University

Areas of expertise

• TA Engineering (General). Civil engineering (General)
• TH Building construction

Research Beacons, Institutes and Platforms

• Advanced materials

Fingerprint

• 1 Similar Profiles
• Cement Material Science 100%
• Magnesium Oxide Material Science 86%
• Magnesium Material Science 36%
• Performance Engineering 34%
• Concrete Material Science 33%
• Carbonation Engineering 33%
• Mechanical Strength Material Science 31%
• Development Engineering 23%

Collaborations and top research areas from the last five years

Dive into details.

Select a country/territory to view shared publications and projects

Research output

• 102 Article
• 4 Conference contribution
• 2 Review article
• 1 Editorial

Research output per year

Effect of nanoparticles on the hydration of NaOH‐activated GGBFS

Research output : Contribution to journal › Article › peer-review

• Nanoparticle 100%
• Titanium Dioxide 75%
• Nucleation 50%
• Mechanical Strength 25%

Enhancement of the wet carbonation of artificial recycled concrete aggregates in seawater

• Enhancement 100%
• Recycled Concrete Aggregate 100%
• Carbonation 100%
• Concrete Aggregate 100%
• Seawater 100%

Interpretable machine learning-based analysis of hydration and carbonation of carbonated reactive magnesia cement mixes

• Magnesium Oxide 100%
• Carbon Dioxide 100%
• Cement 100%
• Learning System 100%
• Magnesia 100%

Quantification of carbonated Mg-based cement pastes by Raman spectroscopy

• Cement Paste 100%
• Raman Spectroscopy 100%
• Quantification 100%

Unpacking Factors Behind Green Wall Adoption in Sustainable Buildings

Research output : Chapter in Book/Report/Conference proceeding › Chapter › peer-review

• Influencing Factor 100%
• Relationships 50%
• Decision Maker 50%
• Complexity 50%

PhD candidate Nils Lukas receives 2024 Mathematics Doctoral Prize’s top honour

Nils Lukas , a PhD candidate at the Cheriton School of Computer Science, is the first-place winner of the 2024 Faculty of Mathematics Doctoral Prize . Now in its sixth year, this prestigious award recognizes and celebrates the achievements of top doctoral students in the Faculty of Mathematics. As a first-place recipient, Nils will receive $1,500 and is nominated for the university-wide Governor General’s Gold Medal, which is awarded at spring convocation.

“Congratulations to Nils on receiving this prestigious and much-deserved recognition,” said Raouf Boutaba, University Professor and Director of the Cheriton School of Computer Science. “The research he has conducted on trustworthy, secure and privacy-preserving machine learning and published at the top international conferences in these fields is not only academically rigorous but also hugely significant for industry and society.”

Nils works on most of the pressing security and privacy problems in machine learning — untrustworthy data, untrustworthy providers, and untrustworthy users, explains his advisor Professor Florian Kerschbaum. 

“Across these areas Nils has an outstanding publication record and at a level of academic excellence rarely seen among even applicants for faculty positions,” Professor Kerschbaum said. “Since joining my group, Nils has published five first-author papers and another as the supervisor of an undergraduate student, all of them in the top venues, with several other papers in submission. His published works include his paper presented at the IEEE Symposium on Security and Privacy in 2022 and another in 2023, a paper presented at USENIX Security Symposium in 2023, a paper in the International Conference on Learning Representations in 2021, followed by two more at that venue in 2024.”

Nils Lukas, a PhD candidate in the Cheriton School of Computer Science’s Cryptography, Security, and Privacy (CrySP) group, focuses on trustworthy machine learning. He has an MSc with distinction in Computer Science from RWTH Aachen University in Germany. His research explores the threats that arise when deploying deep neural networks from three perspectives: (1) privacy when the model is trained on private data, (2) reliability when the model’s training data cannot be trusted, and (3) model misuse when the users cannot be trusted. His work includes studying privacy attacks against large language models fine-tuned on private datasets, developing defences against data poisoning, and creating multiple methods for controlling model misuse. Nils received a prestigious 2022–24 Cheriton Graduate Scholarship. Additionally, his research has won two notable poster competitions: the 2023 Cheriton Research Symposium poster competition and the 2019 Cybersecurity and Privacy Institute poster competition .

More about Nils Lukas’s research

The rapid advancement of generative AI models in recent years holds great promise to transform businesses and society, but they also pose novel trust, security and privacy challenges. The research Nils conducts is helping to reduce the risks of these technologies. 

In his paper titled Analyzing Leakage of Personally Identifiable Information in Language Models , published in IEEE Symposium on Security & Privacy in 2023 with colleagues from Microsoft Research, Nils introduced novel attack algorithms capable of extracting ten times more personally identifiable information than existing attacks. This work revealed that standard sentence-level differentially private training, while largely reducing the risk of disclosing personally identifiable information, still leaks about 3% of such information. The significance of this work is that it is one of the first comprehensive studies of the risk of personally identifiable information memorization in language models, and it exposed the subtle insufficiency of sentence-level differentially private training for protecting record level personally identifiable information. Nils has released his code to the public to reproduce and conduct further research.

In SoK: How Robust is Image Classification Deep Neural Network Watermarking? , a paper with Edward Jiang, Xinda Li and Florian Kerschbaum presented at IEEE Symposium on Security & Privacy in 2022, Nils conducted a systematic evaluation of the robustness of existing watermarking schemes that aim to verify provenance of machine learning models and to prevent misuse of AI generated content. Nils found that none of the surveyed watermarking schemes can withstand all removal attacks, showcasing the importance of a thorough evaluation framework. 

In Deep Neural Network Fingerprinting by Conferrable Adversarial Examples , a paper with Yuxuan Zhang and Florian Kerschbaum presented at ICLR 2021, Nils developed a fingerprinting method for deep neural networks, aimed at detecting the surrogate models that an adversary may build by querying a proprietary source model. Nils proposed a new method to generate conferrable adversarial examples and, importantly, demonstrated their superior effectiveness and robustness against previous fingerprints and watermarks.

In PTW: Pivotal Tuning Watermarking for Pre-Trained Image Generators , a paper with his advisor presented at the 32 nd USENIX Security Symposium, Nils explored image generators, such as those used in deepfake creation. He proposed pivotal tuning watermarking to prevent misuse of image generators, achieving three orders of magnitude speedup while obviating the need of any training data. Moreover, Nils revealed some intrinsic trade-off between the undetectability and robustness of watermarks.

In Leveraging Optimization for Adaptive Attacks on Image Watermarks , a paper with Abdulrahman Diaa, Lucas Fenaux, and Florian Kerschbaum presented at ICLR 2024, the authors continued the investigation of image watermarking attacks through the lens of adaptive, learnable attacks. The core idea is that an adaptive attacker who knows the watermarking algorithm can create their own surrogate keys and use them to optimize the parameters of a watermark removal attack. Such adaptive, learnable attacks can undermine the robustness of all five tested, state-of-the-art watermarking methods and require limited computational resources. Nils has presented his watermarking results to Google, with the goal that the research will limit misuse of its image generators and combat misinformation.

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Joseph Cavanaugh

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Gregory Howes

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Fengrong Wei (AMCS), PhD, 2009

Tatsuro Ichiishi

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Miodrag Iovanov

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Mathews Jacob

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Raj Jagannathan

Wei Chen (AMCS), PhD, 2001

James Jakobsen

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Laurent Jay

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Eugene Johnson & Harry Muhly

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Palle Jorgensen

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• Xiu-Chi Quan, PhD, 1992
• Martin Olesen, PhD, 1994
• Yuan-Ching Huang, PhD, 1997
• Eui-chai Jeong, PhD, 1997
• Beth Peterson, PhD, 1998
• Dylmoon Hidayat, PhD, 2003
• Paul Johnson, PhD, 2003
• Ilona Svidersky, PhD, 2003
• Dorin Dutkay, PhD, 2004
• Myung-sin Song, PhD, 2005
• Scott Taylor, PhD, 2007
• Alfredo Villanueva, PhD, 2007
• Sujin Kim (AMCS), PhD, 2008
• Le Gui (AMCS), PhD, 2009
• Feng Tian, PhD, 2011
• Corissa Goertzen, PhD, 2013
• Robert Niedzialomski, PhD, 2013
• James Tipton, PhD, 2016
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Palle Jorgensen & Wayne Polyzou

Sheikh Gohin Samad, PhD, 2021

Jarkko Kari

Li Hong (AMCS), PhD, 2001

Keiko Kawamuro

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Surjit Khurana

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• Luis Zurlo, PhD, 1995
• Maria Colasante, PhD, 1997

Ryan Kinser

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• Danny Lara, PhD, 2019
• Amrei Oswald, PhD, 2022
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William A. Kirk

• William Royalty, PhD, 1969
• Nadim Assad, PhD, 1971
• Juan A. Gatica, PhD, 1972
• Robert L. Thele, PhD, 1972
• Tawfik N. Shimi, PhD, 1973
• James Caristi, PhD, 1975
• David Downing, PhD, 1977
• Thakyin Hu, PhD, 1977
• William Ray, PhD, 1977
• Ricardo M. Torrejon, PhD, 1979
• Claudio Hugo Morales, PhD, 1980
• Carlos Martinez-Yanez , PhD, 1986
• Tekamul Buber, PhD, 1994

Erwin Kleinfeld

• Harry F. Smith, PhD, 1972
• Lamarr Widmer, PhD, 1988

William Klink

Kevin Murphy (AMCS), PhD, 2009

William Klink & Tuong Ton-That

Randall Wills (AMCS), PhD, 1990

Kenneth Kortanek

Mei-Hsiu Chi (AMCS), PhD, 1991

Frank Kosier

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• Nadine C. Myers, PhD, 1971
• Richard J. Harris, PhD, 1972
• Seong-Nam Ng, PhD, 1972
• Douglas R. Rall, PhD, 1976

Muthu Krishnamurthy

• Luke Wassink, PhD, 2015
• Shantanu Agarwal, PhD, 2022

Philip Kutzko

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• Donggyun Kim, PhD, 1992
• Roberto Johnson, PhD, 1994
• Syvillia Averett, PhD, 2012
• Carlos De la Mora, PhD, 2012
• Carmen Wright, PhD, 2012

Howard Lambert

Abdul-Hafiz Itani, PhD, 1978

• Xuejin Charles Zhao, PhD, 1998
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• Huseyin Coskun (AMCS), PhD, 2006
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• Joaquin Rivera, PhD, 2007
• Alvero Correa, PhD, 2011
• Jeungeun Park, PhD, 2019
• Nitesh Mathur, PhD, 2023

Tong Li & Herbert Hethcote

Omayra Ortega (AMCS), PhD, 2008

Bor-Luh Lin

• Mark D. Levin, PhD, 1967
• Robert H. Lohman, PhD, 1968
• Clifford A. Kottman, PhD, 1969
• Peter G. Casazza, PhD, 1972
• Zhibao Hu, PhD, 1991
• Wenyao Zhang, PhD, 1991
• Ying-Hsiung Lin, PhD, 1992
• Shutao Chen, PhD, 1996
• Dongjian Chen, PhD, 1997
• Feng-Shuo Yu, PhD, 1997
• Da Huang, PhD, 1999
• Yanzheng Duan, PhD, 2007

Ching-Long Lin

Nathan Ellingwood (AMCS), PhD, 2014

Hassan Rafique (AMCS), PhD, 2020

Karl Lonngren

Hayley Shen (AMCS), PhD, 1976

Eugene Madison

• Stephen C. Kloster, PhD, 1971
• Glen H. Suter, PhD, 1971
• Thomas Anderson, PhD, 1987

David Manderscheid

• Manouchehr Misaghian, PhD, 2000
• Ryan Stuffelbeam, PhD, 2004
• Jitka Stehnova, PhD, 2008

Colleen Mitchell

• Ian Besse (AMCS), PhD, 2010
• Roseanna Wolf (AMCS), PhD, 2012
• Rebecca Gasper (AMCS), PhD, 2014
• Chenhong Zhu (AMCS), PhD, 2015
• Mitchell Riley (AMCS), PhD, 2022
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• Alex Polenberg (AMCS), PhD, 2023

David Montgomery

David Fyfe (AMCS), PhD, 1977

Harry Muhly

• Frank Joseph Mestecky, PhD, 1965
• John Charles Nichols, PhD, 1966
• Michael J. McAsey, PhD, 1978
• Hector Salas, PhD, 1983
• John Froelich, PhD, 1984
• Kuen-Shan Ling, PhD, 1987
• Laura Mastringelo-Puech, PhD, 1991
• Chaoxin Qiu, PhD, 1991
• Valentin Deaconu, PhD, 1995
• Qiyuan Na, PhD, 1995
• Cynthia Farthing, PhD, 2005
• Marius Ionescu, PhD, 2005
• Alberto Marrero, PhD, 2005
• Victor Vega-Vazquez, PhD, 2007
• Jonas Meyer, PhD, 2010
• Samuel Schmidt, PhD, 2010
• Paulette Willis, PhD, 2010
• Andrew Greene, PhD, 2012
• Bogdan Udrea, PhD, 2012
• David Gaebler, PhD, 2013
• Travis Wolf, PhD, 2013
• Jennifer Good, PhD, 2015
• Erin Griesenauer, PhD, 2016
• Rene Ardila, PhD, 2017
• Rachael Norton, PhD, 2017
• Kathryn McCormick, PhD, 2018

George Nelson

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• Sidkazam Taghva, PhD, 1980
• Fahad Jalawi, PhD, 1986
• Robert J. Cacioppo, PhD, 1987
• Paul Iverson, PhD, 1988
• Ravi Salim, PhD, 1993
• Oki Neswan, PhD, 1997
• Luis Caceres-Duque, PhD, 1998
• Chihiro Oshima, PhD, 2003
• Leonida Ljumanovic, PhD, 2008

Kathy O'Hara

Darla Kremer, PhD, 1995

Robert Oehmke

• Billy D. Arendt, PhD, 1967
• Ralph J. Neuhaus, Jr., PhD, 1968
• Roger A. Avelsgaard, PhD, 1969
• Ralph A. Czerwinski, PhD, 1969
• Wendell P. Jones, PhD, 1969
• David R. Scribner, PhD, 1969
• Ralph P. Stinebrickner, PhD, 1969
• William Kent Herron, PhD, 1970
• Sister Mary J. Jorgan, PhD, 1970
• Bepin Behari Mehra, PhD, 1970
• Sister Victoria Pohl, PhD, 1970
• Daniel M. Flach, PhD, 1972
• John A. Sanders, PhD, 1972
• Kenneth Waugh, PhD, 1978
• Gregory P. Wene, PhD, 1978
• Xiang Dong Ye, PhD, 1987
• Chin-Hong Park, PhD, 1989
• Kyung Soon Jung Ha, PhD, 1990
• Eric Lund, PhD, 1990
• Yue-Chan Phoebe Ho, PhD, 1991
• Clement Lam, PhD, 1992
• Eun Ho Moon Lee, PhD, 1992
• Majid Ershad-Langroodi, PhD, 1993
• Asuman Oktac, PhD, 1994
• Rekha Bai, PhD, 1995
• David Feil, PhD, 1995
• Chong-Yih Wu, PhD, 1995
• Rixin Yan, PhD, 1997
• Taher Ahmed Abualrub, PhD, 1998
• Yugang Xiao, PhD, 2001
• Louis Beaugris, PhD, 2002
• Leonardo Morales, PhD, 2003

Suely Oliveira

• Koung-Hee Leem (AMCS), PhD, 2003
• Geoffrey Converse (AMCS), PhD, 2021

Wayne Polyzou

• Gordon Aiello (AMCS), PhD, 2017
• Tracie Michlin (AMCS), PhD, 2017

Florian Potra

• Prapasri Asawakun, PhD, 1989
• Hosae Lee, PhD, 1991
• Qing Qing Fu, PhD, 1992
• Yixun Shi, PhD, 1992
• Jun Ji, PhD, 1993
• Goran Lesaja (AMCS), PhD, 1996
• Mihai Anitescu (AMCS), PhD, 1997
• Iuliu Dan Coroian, PhD, 1997
• Rongqin Sheng, PhD, 1997
• Victor A. Nicholson, PhD, 1968
• Robert M. Dieffenbach, PhD, 1971
• Donald A. Myers, PhD, 1971
• Dale A. Schoenefeld, PhD, 1971
• Donald A. Van Cauwenberghe, PhD, 1972
• Marvin R. Van Wyk, PhD, 1972
• Michael A. Grajek, PhD, 1973
• Peter J. Slater, PhD, 1973
• Thomas J. Smith, PhD, 1974

H. Vernon Price

• Gerardus Vervoort, PhD, 1970
• Donald A. Happel, PhD, 1972
• Christian R. Hirsch, Jr., PhD, 1972

Florin Radulescu

• Marius Stefan, PhD, 2000
• Maria Grazia Viola, PhD, 2002
• Il Woo Cho, PhD, 2005
• Gabriel Picioroaga, PhD, 2005
• Yang Ho Choi (AMCS), PhD, 2007

Richard Randell

• Mark A. Kannowski, PhD, 1986
• Mathew T. Timm, PhD, 1989
• Kathryn Radloff, PhD, 1992
• Karen Smith, PhD, 1992
• Monica Meissen, PhD, 1997
• Cynthia McCabe, PhD, 1998
• Helen Schroeder, PhD, 2006
• Neil Nicholson, PhD, 2007
• Lucas Bennett, PhD, 2008
• Amanda Hager, PhD, 2010
• Kristopher Williams, PhD, 2011

Vincent Rogers

Samuel Brensinger (AMCS), PhD, 2020

Dennis Roseman

Jeffrey Boyle, PhD, 1984

Anthony Schaeffer

Blaise Montandon, PhD, 1972

Friedmar Schulz

Virginia Vera de Serio, PhD, 1989

Walter Seaman

Stephen Bean, PhD, 1996

Alberto Segre

• Sean Forman (AMCS), PhD, 2001
• Victoria Shimanovich (AMCS), PhD, 2006
• Patrick Rhomberg (AMCS), PhD, 2017
• Changki Kim (AMCS), PhD, 2003
• Jerome Pansera (AMCS), PhD, 2008

Jonathan Simon

• Wilton E. Clarke, PhD, 1975
• William Ortmeyer, PhD, 1982
• Chichen Tsau, PhD, 1983
• Arendal Magnhild Lien, PhD, 1984
• Keith Wolcott, PhD, 1986
• Pei-Yi Zhao, PhD, 1990
• Aaron Trautwein, PhD, 1995
• Eric Rawdon, PhD, 1997
• Jenelle McAtee, PhD, 2005
• William Hager, PhD, 2010

Jonathan Simon & Oguz Durumeric

Susan Brooks, PhD, 2013

David Stewart

• Jeongho Ahn, PhD, 2003
• Christopher Cartwright (AMCS), PhD, 2003
• Ricardo Ortiz-Rosado (AMCS), PhD, 2007
• Theodore Wendt, PhD, 2008
• Brian Gillispie (AMCS), PhD, 2009
• Mario Barela (AMCS), PhD, 2016
• Benjamin Dill (AMCS), PhD, 2016
• Cole Stiegler (AMCS), PhD, 2018
• Jared Grove (AMCS), PhD, 2022
• Michael Kratochvil (AMCS), PhD, 2022
• Violet Tiema (AMCS), PhD, 2022

Gerhard Strohmer

• Saib Othman, PhD, 1996
• Stephanie Schmidt (AMCS), PhD, 2010
• Dana Bates, PhD, 2016
• Jeffrey Landgren (AMCS), PhD, 2016

Keith Stroyan

• Vitor Neves, PhD, 1985
• Vesna Musicki-Kovacevic, PhD, 1992
• Bin Li (AMCS), PhD, 2013
• Fan Yang (AMCS), PhD, 2013

Barrett Thomas

• Silviya Valeva (AMCS), PhD, 2017
• Xinwei Chen (AMCS), PhD, 2021

Maggy Tomova

• Trenton Schirmer, PhD, 2012
• Katherine Benson, PhD, 2013
• Amanda Niedzialomski, PhD, 2013
• Colin Grove, PhD, 2016
• Daniel Rodman, PhD, 2017
• Jose Roman Aranda Cuevas, PhD, 2021
• Puttipong Pongtanapaisan, PhD, 2021

Maggy Tomova & Charles Frohman

Alexander Zupan, PhD, 2012

Tuong Ton-That

• Eric Leung, PhD, 1993
• Michael Howe, PhD, 1996
• Rob Aulwes (AMCS), PhD, 1999
• Thai-Duong Tran, PhD, 1999
• Dmitriy Khots, PhD, 2006

Julianna Tymoczko

• Abukuse Mbirika, PhD, 2010
• Erik Insko, PhD, 2012
• Nicholas Teff, PhD, 2013

Ezio Venturino

Seki Kim, PhD, 1995

• Robert John Gregorac, PhD, 1965
• Albert Dean Otto, PhD, 1965
• Burdete Carl Wheaton, PhD, 1965
• Roger Thomas Zipoy, PhD, 1965
• Richard A. Vandervelde, PhD, 1967
• Sister Cathleen Real, PhD, 1968
• Marjory J. Johnson, PhD, 1970
• David C. Rine, PhD, 1970
• Douglas L. Nelson, PhD, 1971

Paul Waltman

• Ronald C. Grimmer, PhD, 1967
• John W. Heidel, PhD, 1967
• Kenneth E. Swick, PhD, 1967
• Richard S. Schlunt, PhD, 1968
• Robert E. Fennell, PhD, 1969
• Sze-Bi Hsu, PhD, 1976
• Stephen J. Merrill, PhD, 1976
• Hal L. Smith, PhD, 1976
• William Grasman, PhD, 1977
• Karen Christine Beck, PhD, 1980
• Wei Li, PhD, 2001
• Sun-Sig Byun, PhD, 2003
• Gavin Waters, PhD, 2003
• Hun Kwon (AMCS), PhD, 2007
• Ko Woon Um, PhD, 2010
• Junjun Deng (AMCS), PhD, 2011
• Benjamin Galluzzo (AMCS), PhD, 2011
• Stephen Welch, PhD, 2012
• Fu Shuyang (AMCS), PhD, 2020
• Tao Wang (AMCS), PhD, 2020

Minli Bao (AMCS), PhD, 2017

Lihe Wang & Palle Jorgensen

Da Xu, PhD, 2010

Lihe Wang & Tong Li

Bryanna Petentler, PhD, 2023

Ying-Qing Wu

• Eun-Jung Youn, PhD, 2003
• Kathleen Reif, PhD, 2007
• HanQin Cai (AMCS), PhD, 2018
• Tianming Wang (AMCS), PhD, 2018
• Yang Yang (AMCS), PhD, 2018

Weiyu Xu & Jianfeng Cai

Suhui Liu, PhD, 2017

• Pi-Fang Hung (AMCS), PhD, 1994
• Steven Benson (AMCS), PhD, 1998
• Timothy Gillespie, PhD, 2011
• Kyle Czarnecki, PhD, 2016
• Nathan Salazar, PhD, 2016
• Paul Savala, PhD, 2016
• Huan Qin, PhD, 2017
• Curtis Balz, PhD, 2022
• William Tyler Reynolds, PhD, 2022
• Praneel Samanta, PhD, 2023

Yangbo Ye, Ge Wang & Shiying Zhao

Jiehua Zhu (AMCS), PhD, 2005

Yuan Wu (AMCS), PhD, 2010

Xiaoyi Zhang

• Kai Tsuruta (AMCS), PhD, 2012
• Kai Yang (AMCS), PhD, 2017
• Chuan Lu (AMCS), PhD, 2022
• Andrew Pensoneault (AMCS), PhD, 2023
• Yanqing Shen (AMCS), PhD, 2023

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The Bioinformatics PhD Program is well established, with a long history of successful graduates in both academia and industry.  

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To apply for the Bioinformatics PhD Program, you must submit complete applications by December 1 for admission the following Fall term. Early applications are not allowed and will not be considered. 

Please visit the Rackham Graduate School web pages for additional information on applying. There you will also find information on how to respond to an offer of admission, plus tips and materials required for international applicants and incoming students.

If you are certain about pursuing a Bioinformatics PhD, then applications should be submitted directly to the Bioinformatics PhD Program ; there are more than 100 diverse affiliated faculty to choose from.

Applicants should be U.S. citizens or permanent residents. In addition, applicants with a background in quantitative sciences should consider applying directly. Separately, if you are transferring from another University of Michigan Program or have obtained an established University of Michigan mentor affiliated with the program, a direct application is most appropriate.

PIBS is an umbrella program that offers first-year PhD students flexibility in exploring opportunities in bioinformatics and thirteen other graduate programs. Through PIBS, students have the opportunity to rotate in, and potentially join the lab of a faculty mentor in another program; there are more than 500 diverse faculty to select from. PIBS students who list Bioinformatics as their primary choice must complete at least one rotation with a Bioinformatics-affiliated faculty member. After 10 months in PIBS, students officially join Bioinformatics (or one of the other programs). You can visit the PIBS website for more information.

Please note that reviewing admissions faculty for both PIBS and direct applications are the same. In addition, admitted applicants take the same Bioinformatics-specific courses and activities. See below for details on program diversity outreach, application materials, and funding.

Students who will have an MS in a relevant field (e.g. computer science, statistics, biostatistics, biology) from another university may request to have up to 6 credit-hours (two classes) waived. These classes may be used to help fulfill the core PhD requirements for biology (1 course), statistics (2 courses), and/or computing (1 course). To obtain approval, students need to send a detailed syllabus of the class(es) they took to the PhD directors along with their grade(s), which must be a B or better. The other PhD course requirements, including BIOINF-529 and two advanced bioinformatics courses, cannot be waived.

Most international Bioinformatics PhD applicants should apply through PIBS. However, some who are already embedded in a University of Michigan mentor lab affiliated with the program may be an appropriate fit for the direct Bioinformatics PhD program.

The TOEFL or IELTS exam is required unless Rackham Graduate School waiver requirements have been met. Criteria for English proficiency exemption can be found on the Rackham website . In addition, a list of required credentials from non-U.S. institutions for an application can be found here.

The Bioinformatics Graduate Program encourages applications from traditionally underrepresented minorities, students with disabilities, and those from disadvantaged backgrounds. There are numerous funding opportunities and resources on campus to contribute to students overall well-being while pursuing studies. Several resources available to students can be found on the Rackham Graduate School Diversity, Equity, and Inclusion website .

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All application materials should be submitted electronically when possible. Applicants must meet  Rackham's Minimum Requirements for Admission . The  online application form  can be found on the Rackham Admissions webpages. The application is available in early September through the deadline. 

• GPA, minimum 3.2/4.0 (exceptions may be made if deemed appropriate)
• Letters of recommendation (3 required): Please be aware that submitting only the Rackham Recommendation for Admission Form is insufficient; forms must be accompanied by a letter from the recommender. All letters are due by the application deadline. Without them, applications will not be considered complete or reviewed by the Program Admissions Committee.
• Statement of Purpose: The Statement of Purpose should be a concise, well-written statement about your academic and research background, your career goals, and how Michigan's graduate program will help you meet your career and educational objectives.
• Personal Statement: The Personal Statement should be a concise, well-written statement about how your personal background and life experiences, including social, cultural, familial, educational, or other opportunities or challenges, motivated your decision to pursue a graduate degree at the University of Michigan. This is not an Academic Statement of Purpose, but a discussion of the personal journey that has led to your decision to seek a graduate degree.
• Transcripts: Please submit unofficial transcripts electronically with your online application
• GRE scores are no longer included as part of admission
• Applicants whose native language is not English must demonstrate English proficiency via either the TOEFL or IELTS exam. The institution code is 1839. Other exams may not be substituted. Rackham Graduate School offers a full explanation of this requirement , including exemption criteria. Please contact Rackham directly ( [email protected] ) with questions.

Diversity is a key component of excellence, especially for solving the complex biomedical challenges that our field of computational medicine and bioinformatics faces. We believe that all people—regardless of background, race, religion, sexual/gender orientation, age or disability—deserve an equitable opportunity to pursue the education and career of their choice.

The Bioinformatics Graduate Program will provide tuition, healthcare coverage, and a stipend on a 12-month basis. This level of support will be maintained throughout a student's tenure in the Program, provided s/he remains in good academic standing and makes reasonable progress towards the degree as determined by the Graduate Directors, with faculty input. It is expected that the student will be supported directly by the mentor's laboratory, beginning in the second year. The expected time to degree is typically 5-6 years.

The U-M MS program is a terminal degree program. If you are interested in the Bioinformatics PhD Program, you must submit a new application. If you are a Bioinformatics MS student who is in good academic standing and has identified a Bioinformatics affiliated faculty mentor, you may apply for admission directly to the PhD Bioinformatics Program for the Winter term. Reviewing faculty take all application components into account and mentors are prepared to take both academic and financial responsibility for their trainees.

Eligibility: Only current or recently graduated University of Michigan Master’s students are eligible. Before applying, students must have completed more than half of all required courses, with at least six credits from the Bioinformatics Program.

Application deadline: October 1

The online application form can be found on the Rackham Admissions webpages. The application is available in early September through the deadline.

• Letters of recommendation: Please be aware that submitting only the Rackham Recommendation for Admission Form is insufficient; forms must be accompanied by a letter from the recommender. If you wish to include three letters from your original application, only one additional letter is needed. It must be from the DCMB faculty member who will serve as your primary mentor. The letter should state clearly that the mentor takes responsibility for your funding upon admission. Alternatively, you may wish to obtain three new letters of recommendation. The Admissions Committee strongly encourages you to include letters from those familiar with your research and coursework obtained while pursuing your Master’s degree. Of these, one must be from the faculty member who will serve as your primary mentor. The letter should state clearly that the mentor takes responsibility for your funding upon admission.
• Statement of Purpose: The Statement of Purpose should be a concise, well-written statement about your academic and research background, your career goals, and how the PhD Program will help you meet your career and educational objectives.
• Transcripts: Only a current, unofficial U-M transcript is necessary. You do not need to re-submit materials included with your Master’s application.
• TOEFL: If you submitted TOEFL scores when applying to the Master’s Program, additional test scores are not needed.

Bioinformatics consists of a mathematical and/or statistical analysis of a biomedical problem using computation. We define bioinformatics widely and include traditional bioinformatics areas such as for examples, systems biology, genomics, proteomics, plus statistical and evolutionary genetics, clinical informatics, and protein modeling.

As an interdisciplinary field, Bioinformatics attracts graduate students from mathematics, statistics, physics, computer science, biomedical engineering, chemistry, biochemistry and biology. Most incoming students have both a major in one and a minor in another discipline. In recent years students have entered with undergraduate training in bioinformatics or computational biology.

Each student obtains individual counseling by one of the two graduate program directors upon arrival and throughout their academic career. As Bioinformatics is still developing, new courses are added all the time. Current students are encouraged to contact the Program Directors about courses that may be relevant to their studies and are not listed on the website (esp. if they are new or infrequently offered).

In most cases, we recommend you apply to the PIBS program, as it provides flexibility in classes, funding, and a central admission for many biomedical programs. If you have no or very little biology background, please contact our Student Services Representative as to whether a direct application would be better. Current student who are considering transferring areas of study should also contact the Bioinformatics Graduate Office.

There is no need to apply both direct and through PIBS, as the same committee sees your applications.

For most students, thesis work includes computing, reading, and writing. A small group also participates in wet laboratory work. Please check both the research areas and student webpages for an overview of the varied subjects addressed in research and student theses.

Many of our graduate students obtain academic postdoctoral fellowships and go on to faculty positions. Quite a significant number of graduates go into non-academic professions such as small or large biotech companies. Some have founded their own business, and others apply their analytical skills in companies unrelated to bioinformatics. For a current list of graduate placement, please visit the alumni pages.

No. If you want to get a PhD, directly apply to the PhD Program.

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