phd courses kth

PhD Studies in Energy and Environmental Systems

Here you can read about the doctoral program for Energy and Environmental Systems and find contacts.

The Department of Energy Technology has as its main focus - research and education directed to contribute to building-up sustainable energy systems.

The Department consists of four Divisions with research areas spread between technical and interdisciplinary sciences, namely Heat and Power Technology, Applied Thermodynamics and Refrigeration and Energy Systems.

Our research traditions have their background in mechanical engineering, but cover also some parts of chemistry, material science, physics, regional planning and economy. Research areas cover turbomachinery, aeroelasticity, thermal energy storage, fuel cells technology, biofuels, heat pump technology, heating and ventilation, inner climate, heat transfer, energy and climate policies, market and sustainability analyses, modelling of energy systems in buldings and districts, modelling of resourse flow on national and regional levels and others.

Energy Technology is the main research area at the Department. The research can be run both in the separated topic or in between different topics. Collaboration between researchers working in different research areas and topics is supported and sustained at the Depratment of Energy Technology.

General syllabus for third-cycle subject

Programme Director

Research Studies at KTH Architecture

KTH Architecture hosts two Doctoral Programmes: The Doctoral Programme in Architecture, and the Doctoral Programme in Art, Technology and Design - a co-operation between KTH and Konstfack.

General Information on Postgraduate Studies

• Doctoral Studies at KTH
• Doctoral Studies at ABE
• The Student Union Doctoral section

Architecture

The doctoral programme in architecture at postgraduate level manages, develops and communicates knowledge of architecture. The subject treats the concepts and theories of architecture and their relationship to planning and design of the built environment. Postgraduate studies in architecture at KTH contain five areas of specialization: architectural design, architectural technology, critical studies of architecture, history and theory of architecture, and urban design. A PhD-degree in Architecture consists of four full years of study.

Art, Technology and Design

The doctoral programme in Art, Technology and Design is a joint venture between KTH and Konstfack (University College of Arts, Crafts and Design), launched in 2014 with the aim to strengthen the exchange between artistic and scientific forms of knowledge. Art, Technology and Design is an emerging research area shaped by dynamic encounters between different perspectives with a strong focus on interdisciplinary exchange and concrete materialisations. Doctoral research and education within the programme may draw on theories and methods from a wide variety of fields – architecture, the fine arts, crafts, design, planning, technology, engineering, materials science etc. – to advance innovative and critical new approaches towards the many challenges riddling societies in the 21 st  c.

• Chapter Meeting
• Masters of Ceremonies Group (DrInK)
• Standard Bearer (Fanbärare)
• Auditors (Revisörer)
• PhD Chapter Hall
• Statutes & Bylaws
• ABE PhD Council
• CBH PhD Council
• EECS PhD Council
• ITM PhD Council
• SCI PhD Council
• Nominating committee
• PhD Handbook
• Students rights
• PhD Ombudsman
• Labour Unions
• KTH Employee benefits
• PhD Salary Ladder
• Funding Request
• Representation
• Minutes and Summons
• Supervisor of the Year Award
• PhD Surveys
• Become a THS member
• Other PhD organisations
• PhD Chapter Meeting – May 30th, 2024

The PhD Chapter board welcomes the members of the PhD Chapter to the Second Chapter Meeting of the operational year 2023/2024, which will take place on 30th of May of 2024  at  17:30 , at the PhD Chapter Hall “T-Centralen” (Drottning Kristinas väg 29). Here you can find the Summon.

Please fill out  this registration form  if would like to attend the meeting. In order to have food, please sign up no later than May 25th, 2024.

The Chapter Meeting will be focused on the Elections and by-elections of the PhD Chapter Board and Functionaries, and eventual motions that are to be voted.

All doctoral students are welcome to join the Chapter Meeting, but note that you must be a PhD Chapter Member (that is, a doctoral student and paid member of  THS , the KTH Student Union) in order to have voting rights during the meeting.  We will send a reminder email to all registered participants.

If you are interested in  nominating yourself  or  someone else to Board or Functionary positions, the nomination form is available here .

For Board positions ( for description click here ), the following positions have mandate January – December 2024 and are open for Elections:

• Chairperson
• Education Manager
• Business Liaison
• Workgroups Manager

The following positions have mandate January 2024 – December 2024 and are now open for by-elections:

• Council Coordinator

Moreover, the following PhD Chapter Functionary positions are open for election or by-election:

• Auditors (2 positions)
• Master of Ceremonies (1 position)

Motions to be presented at the Chapter Meeting may be submitted to  [email protected] until 26th of May 2024 . The meeting agenda  will be posted here  at least four working days before the meeting.

• PhD Chapter Meeting – March 20th, 2024

The PhD Chapter board welcomes the members of the PhD Chapter to the Second Chapter Meeting of the operational year 2023/2024, which will take place on 20th of March 2024  at  17:30 , at T-Centralen (Drottning Kristinas väg 29). Here you can find the Summon.

Please fill out   this registration form  if would like to attend the meeting. In order to have food, please sign up no later than Sunday 17th 2024.

The Chapter Meeting will be focused on the digital elections proceses and the discussion of structural problems that doctoral students have at KTH.

All doctoral students are welcome to join the Chapter Meeting, but note that you must be a PhD Chapter Member (that is, a doctoral student and paid member of  THS , the KTH Student Union) in order to have voting rights during the meeting.  We will send a reminder email to all registered participants.

Motions to be presented at the Chapter Meeting may be submitted to  [email protected]  until 15th of March 2024 . The meeting agenda  will be posted here  at least four working days before the meeting.

• PhD Chapter Meeting – December 4th, 2023

The PhD Chapter board welcomes the members of the PhD Chapter to the Second Chapter Meeting of the operational year 2023/2024, which will take place on 4th of December 2023  at  17:30 , at Room Henrik Eriksson (Lindstedtsvägen 3, 4th floor), or virtually via Zoom ( https://kth-se.zoom.us/j/62006362410 ). Here you can find the Summon.

Please fill out  this registration form  if would like to attend the meeting. In order to have food, please sign up no later than November 30th 2023.

The Chapter Meeting will be focused on the Elections and by-elections of the PhD Chapter Board and Functionaries.

If you are interested in  nominating yourself  or  someone else  to Board or Functionary positions,  please fill in this KTH form  at the latest  19th of November  2023.

• Vice Chairperson
• Event Manager (upon approval of motion)
• Communication Manager

The following positions have mandate July 2023 – June 2024 and are now open for by-elections:

• Business Liaison (upon approval of motion)
• Workgroup Manager
• Head of Women’s Doctoral Committee (WOP)
• Nominating Committee (5 positions)
• Standard Bearers (2 positions)

Motions to be presented at the Chapter Meeting may be submitted to  [email protected]  until 30th of November 2023 . The meeting agenda  will be posted here  at least four working days before the meeting.

• PhD Chapter Meeting – Sep 28th, 2023

The PhD Chapter board welcomes the members of the PhD Chapter to the Fourth Chapter Meeting of the operational year 2023/2024, which will take place on Thursday 28th of September 2023  at  17:30 , at the PhD Chapter Hall, T-Centralen (Drottning Kristinas väg 29). Here you can find the summon and Agenda.

Please fill out this registration form  if would like to attend the meeting. In order to have food, please sign up no later than September 25th 2023, see more info in the registration form.

The Chapter Meeting will be focused on discussions for improvements of doctoral students.

Motions to be presented at the Chapter Meeting may be submitted to  [email protected]  until 25th of September 2023. The meeting agenda  will be posted here  at least four working days before the meeting.

• ABB, NKT, and Hitachi Energy Companies Exclusive Visit 2023

Ph.D. Chapter is proud to organize an exclusive visit to ABB , NKT , and Hitachi Energy Companies in Västerås for a limited number of Ph.D. students on October 6, 2023 full-day (08:00-17:00). We will start our journey toward Västerås from KTH Entre (main campus) at 08:00 and will be back to KTH main campus at 17:00.

Join us for a whole day of interesting presentations and discussions, site and production lines visit, and mingle with these companies’ employees.

ABB is a leading global technology company that energizes the transformation of society and industry to achieve a more productive, sustainable future. By connecting software to its electrification, motion, process automation and robotics & discrete automation portfolio, ABB pushes the boundaries of technology to drive performance to new levels. ABB’s success is based on a long history of technical leadership stretching back more than 130 years and driven forward by around 105,000 skilled employees in more than 100 countries. Corporate Research in Västerås is one of ABB’s largest research center in the world. Here, 100 innovative researchers and engineers of ~25 nationalities work with long-term research and development in ABB’s cutting-edge areas, with an emphasis on robotics, electric motor systems, electrical apparatus and automation technology. The investment in research and development in Sweden is high and a priority area within the ABB Group. This is ABB: Welcome to Progress — ABB Group (global.abb)

NKT connects a greener world with high-quality power cable technology and takes centre stage as the world moves towards green energy. NKT designs, manufactures and installs low-, medium- and high-voltage power cable solutions enabling sustainable energy transmission. Since 1891, NKT has innovated the power cable technology building the infrastructure for the first light bulbs to the megawatts created by renewable energy today. NKT is headquartered in Denmark and employs 3,900 people. NKT is listed on Nasdaq Copenhagen and realised a revenue of EUR 1.8 billion in 2021. This is NKT: https://www.youtube.com/watch?v=gxblX1lkMJA

Hitachi Energy (HE) is a global technology leader with a combined heritage of almost 250 years, employing around 36000 people in 90 countries. The business serves utility, industry and infrastructure customers across the value chain, and emerging areas like sustainable mobility, smart cities, energy storage and data centers. Innovation is at the heart of Hitachi Energy and our research centers are the backbone. The Hitachi Energy Research center in Sweden is located in Västerås, one hour west of Stockholm. With our wide scientific/technical expertise together with our extensive lab infrastructure we drive innovation for Hitachi Energy next-next products. The center includes an extensive simulation and experimental laboratory infrastructure with 13 labs for a total footprint of 3700m2, providing a full-scale platform for power electronics, multi-physics, high-voltage testing and digital technologies. This is Hitachi Energy: https://youtu.be/X3TFu6wNRFE

This event will be limited to 54 visitors , if you want to join this visit – make sure to RSVP through the following link . 

https://forms.gle/pErr25BchgfVRdhD9

The last day to register your interest to join us is Friday, S eptember 22, 2023 . 

There would be a selection phase after the end of registration. Depending on the number of RSVP registrations, 54 visitors will be selected. After that, final visitors will receive private invitation letters with further information (including a detailed schedule and other relevant information) on their email addresses. Once you receive a formal private invitation letter at your email address, you are more than welcome to join us for this amazing event. Please register for this event only if you can attend it in person, those who are not sure if they can make it should mention this in the registration form.

It is worth mentioning that lunch, fika, and transportation are provided by companies and PhD Chapter. Thus, participants do not need to worry about these issues.

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Useful direct links

• Board of Directors (Styrelsen)
• PhD Student Advisor / Doktorandombudsman på THS

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• Entries feed
• Comments feed
• WordPress.org

Doctoral studies at the department of Civil and architectural engineering

Doctoral students at KTH are employed and earn a monthly salary. Doctoral student positions may also be offered in partnership with industry actors or scholarship cooperations. Here you can find out more about doctoral studies at the department of Civil and architectural engineering.

Doctoral programs and subjects

At Civil and architectural engineering, you do research in the topic of Civil and architectural engineering. The focus areas are Concrete Structures, Structural Engineering and Bridges, Building Materials; Sustainable buildings (Building Technology; Building Service and Energy Systems, Fluid and Climate Theory), Soil and Rock Mechanics and Transport Systems.

Interested in Doctoral studies?

Vacant doctoral student positions are announced five times a year:

If you are interested in applying for a doctoral student position, please contact the programme director of Civil and architectural engineering, to profile page  or

programme director for Transport planning, to profil page .

International students

There are no tuition fees for doctoral studies in Sweden. KTH does not offer any scholarships or other financial support to international students.

Prior to decision on admission, Non-Nordic diplomas are evaluated and compared with the corresponding Swedish degree.

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Theory and Methodology of Science

Below you find general information about the course Theory and Methodology of Science.

The course provides an introduction to the theory and methodology of science and is intended for the Master student or beginning PhD student. One aim is to supply the basic concepts needed for placing the techniques and knowledge acquired in the student's other courses in the wider context of the natural sciences. Another aim is to provide the basic intellectual tools that allow for a reasoned and critical assessment of results and methods from the wide variety of disciplines that the student is likely to encounter during his or her continued career in research and/or in professional life.

Versions of the course

There are three versions of the course: natural science, social science and computational science. Each version is available in two different lengths, 4.5 credits or 7.5 credits.

Master's & Bachelor's courses

• AK2030 : Natural and technological science, 4.5 credits, given in periods 1, 2, 3, and 4
• AK2032 : Social science, 4.5 credits, given in periods 1 and 3
• AK2034 : Computational science, 4.5 credits, given in period 2
• AK2036 : Natural and technological science, 7.5 credits, given in periods 1, 2, 3, and 4
• AK2038 : Social science, 7.5 credits, given in periods 1 and 3
• AK2040 : Computational science, 7.5 credits, given in period 2
• AK2050 : Natural and technological science, with medical ethics applications, 6.0 credits, given in period 1–2 (open only to students in the TMLEM program)

Before the start of a course you have to register via the web. You find the web registration function via Ladok for students  when the registration period opens.

All questions about the course may be asked through e-mail: [email protected]

All course administration is managed through the Canvas system.

Department of Mathematics

Phd studies.

The PhD education is a four year program intended to teach the methods of mathematical research. An important part of the education is the writing of a thesis which is presented at a PhD defence.

On these pages you will find information about PhD studies, intended for PhD students, their supervisors and for those considering to apply.

Admission to PhD studies

PhD student positions in mathematics, mathematical statistics and computational mathematics are usually announced in April each year.

Vacant positions at the Department of Mathematics

Eligibility and selection for PhD studies in mathematics

General eligibility.

A general eligibility of 240 credits is required, corresponding to 4 years full time university studies, or a university degree at an advanced (master) level or the equivalent competence.

Special eligibility

To be qualified you must have a university degree containing at least the following courses in mathematics:

• Algebra: groups, rings, euclidean and principal ideal rings, fields, extension fields.
• Foundation of analysis: real numbers, Bolzano-Weierstrass, derivation and integration in Rn, series of functions, implicit functions.
• Analytic functions: integral and series expansion, residue calculus, conformal mappings, harmonic functions.

The textbooks we use are

Rudin: Principles of mathematical analysis, Beachy and Blair: Abstract algebra, and Saff and Snider: Fundamentals of complex analysis.

Selection and admission

The selection of candidates is made from certificate of courses, quality of thesis, references, and interviews. Information about admission will be given latest in June.

Those who are accepted are normally financed with study grants. If you intend to finance your education in some other way, you must inform us about that.

Eligibility and selection for PhD studies in mathematical statistics

To be qualified you should have taken courses including most of the following material:

• Probability Theory: Simultaneous and conditional distributions; conditional expectation and variance, multidimensional normal distribution, limit/convergence theorems (Law of Large Numbers; Central Limit Theorem), convergence of random variables (in distribution, probability, mean or almost surely); transforms (probability generating, moment generating, characteristic); martingales.
• Stochastic Processes: Finite state Markov processes in discrete and continuous time, in particular Poisson and birth-death processes; queueing theory; renewal processes; Brownian motion; stationary stochastic processes; methods of stochastic simulation.
• Statistical inference: Exponential families; likelihood; sufficiency; information bounds; consistency; efficiency; maximum likelihood theory; likelihood ratio tests; uniformly most powerful tests.

The books we use in courses that are prerequisites are:

Gut: An intermediate course in probability, Ross: Introduction to probability models, and Lindgren, B. W.: Statistical Theory.

Eligibility and selection for PhD studies in computational mathematics

In order to meet the general eligibility requirements, the applicant must have completed courses equivalent to at least 240 higher education credits (4 years full time study), of which 60 credits must be in the second cycle, or have otherwise acquired equivalent knowledge in Sweden or elsewhere.

In order to meet the special eligibility requirements, the applicant must have completed courses equivalent to at least 60 credits in mathematical subjects and at least 30 credits in either numerical analysis or computer science.

Possible PhD thesis projects

This section contains information about available PhD supervisors and suggestions for PhD thesis projects. Please note that there are three separate announcements of PhD student positions, one for each of the three subjects mathematics, mathematical statistics and computational mathematics, respectively.

For further information about ongoing research at the department, please see the webpages of the research groups and the personal homepages of our researchers.

PhD thesis projects in mathematics

This section contains information about available PhD supervisors and suggestions for PhD thesis projects in mathematics.

Available PhD supervisors

Algebra and Geometry: Gregory Arone, Alexander Berglund, Jonas Bergström, Rikard Bøgvad, Wushi Goldring, Samuel Lundqvist, Dan Petersen, Boris Shapiro, Sofia Tirabassi.

Analysis: Pavel Kurasov, Annemarie Luger, Salvador Rodríguez-López, Jonathan Rohleder, Olof Sisask, Alan Sola.

Logic: Peter LeFanu Lumsdaine.

Suggestions for PhD thesis projects

In the 2024 call we would welcome applications for the following four projects in particular:

Some other suggestions for projects are:

PhD thesis projects in mathematical statistics

This section contains information about available PhD supervisors and PhD thesis projects in mathematical statistics in the 2024 call.

PhD supervisors

Daniel Ahlberg, Tom Britton, Johannes Heiny, Kristofer Lindensjö, Mathias Lindholm.

PhD projects

Phd thesis projects in computational mathematics.

When you apply for a PhD student position in computational mathematics, you must choose one of the projects suggested in the announcement.

Study plans

The study plan describes the content of the PhD program and contains information about admission and eligibility. The individual study plan, which is created at the start of the program, contains specifications such as the choice of courses and the research plan.

Information for PhD students from the Faculty of Science Handbook for postgraduate students from the Swedish National Agency for Higher Education

If you have any questions please contact the Directors of PhD Studies. You can find their contact details at the bottom of the page.

Study plans - files

Individual study plan.

General study plans, current

General study plans, older versions, phd students' council.

The PhD students at the Department of Mathematics have a council (doktorandrådet) which looks after their interests and has a representative on the department board.

The council is headed by the following PhD students:

Chair: Taariq Nazar Vice chair: Benedetta Andina Secretary: Alice Brolin

You can reach the PhD council at [email protected]

Preparing for thesis defence (PhD and Licentiate)

Before the defence of the doctoral dissertation some formal procedures have to be dealt with.

Stockholm University information about PhD defence Guidelines from the Faculty of Science

These documents contain practical information specifically for the Department of Mathematics.

See also the following guidelines for information on how the PhD defence is conducted in Sweden.

PhD courses

The planned PhD-Courses in mathematics, mathematical statistics and computational mathematics, during the academic year 2023/2024, can be seen here. Further down you can find courses from previous years.

Previous years' PhD courses in mathematics

Academic year 2022/2023.

• Constructions in dynamical systems, Bjerklöv and Saprykina, KTH, Autumn 2022
• Expander graphs , Raum, SU, Autumn 2022
• Homotopy theory , Berglund and Petersen, SU, Autumn 2022
• Synthetic Spectra (reading course) , Autumn 2022
• Abelian varieties , Tirabassi, SU, and Skjelnes, KTH, Spring 2023
• Classical analysis and its applications , Shahgholian and Damjanovic, KTH, Spring 2023
• Function spaces in complex analysis , Luger and Rodriguez-Lopez, SU, Spring 2023
• Probabilistic number theory, Matthiesen, KTH, Spring 2023

Academic Year 2021/22

• Characteristic classes , Arone, SU, and Bauer, KTH, Autumn 2021
• Homotopical models for type theories, Lumsdaine and Mörtberg, SU, Autumn 2021
• Reading course: Complex Dynamics , Sola, SU, Autumn 2021
• Introduction to the Langlands program over number fields , Goldring, SU, Spring 2022
• Spectral theory of partial differential equations , Rohleder, SU, Spring 2022
• The Atiyah-Singer index theorem , Dahl, KTH, Spring 2022
• Polytope Theory (7,5 credits) , Svante Linusson, KTH, Spring 2022

Academic Year 2020/21

• Modular forms , Lilian Matthiesen, KTH, Autumn 2020
• Geometric function theory , Alan Sola, SU, and Fredrik Viklund, KTH, Autumn 2020
• Random Matrices , Kurt Johansson, KTH, Autumn 2020
• Tropical Combinatorics and Geometry (reading course) , Johannes Hofscheier, Nottingham, and Katharina Jochemko, KTH, Autumn 2020
• Mixed Shimura varieties and other advanced topics about families of mixed Hodge structures (reading course) , Wushi Goldring, SU, Autumn 2020
• Combinatorial and Algebraic Statistics , Liam Solus, KTH, Spring 2021
• Geometric group theory , Sven Raum, SU, Spring 2021
• Indefiniteness , Annemarie Luger, SU, Spring 2021

Academic Year 2019/20

• Spectral theory of quantum graphs and inverse problems , Pavel Kurasov, SU, Autumn 2019
• Infinity categories , Peter LeFanu Lumsdaine, SU, Autumn 2019
• Mathematics education at university level , Torbjörn Tambour, SU, Autumn 2019
• Reading seminar on the Kervaire invariant one problem (Reading course) , Gregory Arone, SU, Autumn 2019
• Introduction to operator algebras , Sven Raum, SU, Spring 2020
• Geometric measure theory , John Andersson, KTH, Spring 2020
• Complex algebraic geometry , David Rydh, KTH, Spring 2020

Academic Year 2018/19

• Theory of distributions , Pavel Kurasov, SU Autumn 2018.
• Semi-Riemannian geometry (reading course), Mattias Dahl, KTH Autumn 2018
• Partial Differential Equations, John Andersson, KTH Autumn 2018
• Fourier analysis methods for PDEs , Salvador Rodriguez-Lopez och Odysseas Bakas, SU Spring 2019
• Characteristic classes , Tilman Bauer, KTH Spring 2019
• Tannakian categories , Wushi Goldring och Andreas Holmström, SU Spring 2019
• Advanced Topics in Proof Theory and the Foundations of Mathematics , Erik Palmgren, SU from Autumn 2018 to Spring 2019
• Cohen-Macaulay Complexes (mini-course) , Afshin Goodarzi, KTH, Spring 2019

Academic Year 2017/18

• Algebraic Groups , Wushi Goldring, SU Autumn
• Introduction to Sectorial Operators , Jonathan Rohleder, SU Autumn
• Topics in Analysis, Danijela Damianovic and Henrik Shahgholian, KTH Autumn
• Constructive and Computational Mathematics, Peter LeFanu Lumsdaine, SU Spring
• Geometric Function Theory , Alan Sola (SU) and Fredrik Viklund (KTH), Spring
• Polynomial Functors in Algebra and Topology, Greg Arone, SU Spring
• Riemann-Hilbert Methods in Asymptotic Analysis, Maurice Duits, KTH Spring

Academic Year 2016/17

• Computational Clgebraic Geometry (Reading course), Mats Boij, (KTH) and Samuel Lundqvist (SU), Autumn
• Constructions in Dynamical Systems (Reading course), Kristian Bjerklöv and Maria Saprykina, KTH Autumn
• Differential Geometry, Mattias Dahl and Hans Ringström, KTH Autumn
• Mathematical Analysis For All! , John Andersson, KTH Autumn
• Real and Complex Analysis (Reading course), 15hp, Fredrik Viklund, KTH Full year
• Algebraic Topology , Gregory Arone (SU), Tilman Bauer and Wojciech Chacholski (KTH), Spring
• Classical Combinatorics, Linusson and Brändén, KTH Spring
• An Introduction to Pseudodifferential Operators , Rodriguez-Lopez, SU Spring
• Matematical Didactics , Tambour, SU Spring
• Mathematical Physics. (Topics in Mathematics IV), Lundholm, KTH Spring
• Realizability: Computational Interpretations of Logic , Erik Palmgren, SU Spring
• Topics in Applied Algebraic Geometry , Dickenstein and Di Rocco, KTH Spring

Academic Year 2015/16

• Commutative Algebra , Roy Skjelnes, Autumn
• Cluster Algebras , Michael Shapiro, Autumn
• Elliptic Partial Differential Equations and Harmonic Function Theory (Reading course) , Jonatan Lenells and Henrik Shahgolian, Autumn
• Random Matrices , Maurice Duits and Kurt Johansson, Autumn
• Model Theory , Erik Palmgren, Autumn
• Algebraic and Enumerative Combinatorics, Petter Bränden, Spring
• Clifford Algebras , Douglas Lundholm and Lars Svensson, Spring
• Étale Cohomology , Jonas Bergström and David Rydh, Spring
• Spectral Theory for Quantum Graphs , Pavel Kurasov, Spring
• Several Complex Variables (Reading course) , Håkan Hedenmalm, Spring
• Operads in Algebraic Topology , Alexander Berglund and Stephanie Ziegenhagen, Spring

Academic Year 2014/15

• Infinity-categories and Homotopy Type Theory , Ph. Hackney and P. Lumsdaine, Autumn
• Riemann Surface, Analytic and Algebraic Aspects , J. E. Björk and B. Shapiro, Autumn
• Gröbner Bases, J. Backelin, Spring
• Spectra of (non-selfadjoint) Matrices and Operators, A. Luger and Christiane Tretter (Bern), Spring

Academic Year 2013/14

• Commutative Algebra II , Christian Gottlieb, SU Autumn
• Type Theory, Erik Palmgren, SU Autumn
• Fourieranalys, KTH Autumn
• Analysis on Manifolds, Olga Rossi, Spring
• Cathegory theory, Spring

Spring 2000 to spring 2013

Courses given between the spring 2000 and the spring 2013 can be found on the Swedish version of this page .

Previous years' PhD courses in mathematical statistics

• Topics in stochastic control and stopping, Kristoffer Lindensjö, SU, Autumn 2022
• Networks and epidemics, Mia Deijfen/Tom Britton, SU, Autumn 2022
• Brownian motion and stochastic differential equations, Kristoffer Lindensjö, SU, Autumn 2022
• Advanced causal inference, Arvid Sjölander, KI, Autumn 2022
• Epidemiological theory from a statistical perspective, KI, Autumn 2022
• Computational methods for stochstic differential equations, Mathias Sandberg/Anders Szepessy, KTH, Spring 2023
• Markov processes, Daniel Ahlberg, Autumn 2021
• Deep learning, Chun-Biu Li, all year
• Statistical inference, KTH, Spring 2022
• Causal inference, Arvid Sjölander, KI, Autumn 2021
• Networks and epidemics, Tom Britton, Mia Deijfen, Pieter Trapman, SU, Autumn 2020
• Probability theory, Guo Jhen Wu, KTH, Autumn 2020
• Soft skills for mathematicians, Tom Britton, SU, Spring 2021
• Data-driven statistical modelling with optimisation, Tobias Rydén, SU, Autumn 2019
• Stochastic finance in discrete time, Filip Lindskog, SU, Autumn 2019
• Advanced probability, Henrik Hult, KTH, Autumn 2019
• Unsupervised learning, Chun-Biu Li, SU, Spring 2020
• Optimal Stochastic Control, Kristoffer Lindensjö, SU Autumn 2018
• Probability Theory, Jimmy Olsson, KTH Autumn 2018
• Topics in Discrete Probability, Timo Hirscher, SU Spring 2019
• Computational Methods for Stochastic Differential Equations, Mattias Sandberg och Anders Szepesy, KTH Spring 2019
• Soft Skills for Mathematicians, Tom Britton, SU
• Causal Inference, Timo Koski, KTH

Academic Year 2011/12

• Statistical Constultancy Methodology, Rolf Sundberg, Autumn
• Computer-intensive Statistical Methods, Tom Britton, Alexander Ploner and Niclas Noren, Spring
• Probability Theory IV, Dmitrii Silvestrov, Spring
• Statistical Models, Rolf Sundberg, Spring

Academic Year 2010/11

• Standastic Processes III, Pieter Trapman, Autumn
• Writing and Presenting Mathematical Papers, Tom Britton, Autumn
• Standastic Processes IV, Dmitrii Silvestrov, Spring

Academic Year 2009/10

• Computer Intensive Statistical Methods, Britton et al, Autumn

Academic Year 2008/09

• Study Group in Random Networks, Britton, Autumn
• Standastic Processes III, Hössjer, Autumn
• Probability Theory, Gut, Uppsala University
• Study Group in Phylogenetics and Comparative Genomics: Bio, Maths, Stats and Algorithms, Britton

Academic Year 2007/08

• Probability Theory, Hössjer, Autumn
• Statistical Methods of Population Genetics and Gene Mapping, Palmgren and Hössjer, Spring
• Writing and Presenting Mathematics/Statistics, Britton, Spring

Academic Year 2006/07

• Large Deviations, Martin-Löf, Autumn
• Inference for Standastic Processes, Svensson, Spring
• Likelihood Based Inference, Pawitan, KI
• Random Graphs (Study Circle), Britton

Academic Year 2005/06

• Standastic Methods of Population Genetics, Hössjer, Autumn

Academic Year 2004/05

• Statistical Theory for Exponential Families, Sundberg
• Statistical Genetics and Bioinformatics (Seminar Series), Palmgren
• Markov Population Models, Martin-Löf
• Statistical Consulting Methodology, Sundberg
• Probabilistic Properties of DeSemesteristic Systems, Tyrcha
• Statistics for Microarrays, Sundberg

Academic Year 2003/04

• Standastic Epidemic Models and Their Statistical Analysis, Britton
• Statistical Modeling and Inference using Likelihood, Pawitan, KI

Academic Year 2002/03

• Statistical Genomics, Greenwood
• Statistical Methods in Molecular Medicine and Genetic Epidemiology, Palmgren

Academic Year 2001/02

• Att skriva matematisk statistik, Svensson
• Statistisk inferensteori

Previous years' PhD courses in computational mathematics

• Computer Science, Lars Arvestad, SU, Autumn 2022
• Computational Biology, Marc Hellmuth, SU, Spring 2023
• Categorical Logic , Ivan Di Liberti, SU, Spring 2023

Academic Year 2021/2022

• Deep Understanding of the Information Processing in Depp Learning, Chun-Biu Li, SU, Autumn 2021 and Spring 2022
• Computational Biology, Lars Arvestad and Marc Hellmuth, SU, Spring 2022

Reading courses

In addition to the PhD courses that are planned on a yearly basis in coordination wih KTH, spontaneously organized activities such as reading courses can sometimes also yield course credits. In order for a reading course to yield course credits, here are necessary conditions:

• There has to be a responsible teacher/examiner for the course.
• A course plan (including a brief description, a rough timetable, examination form, and number of credits) should be approved by the director of PhD studies before the reading course starts.
• The reading course should be announced (e.g. through the SMC calendar) before it starts, so that other interested PhD students at SU or KTH can join.

Last updated: May 31, 2024

Source: Department of Mathematics

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Top-Rated Universities for Studying Architecture in 2024, According to QS World Rankings

• Written by Maria-Cristina Florian
• Published on June 06, 2024

QS, Quacquarelli Symonds World University Rankings , has announced the annual list of the top universities to study Architecture and the Built Environment in the year 2024. The ranking evaluates over 1,500 institutions from over 100 locations. The evaluation system has been updated this year to include new metrics such as sustainability, employment outcomes, and international research networks.

The top three contenders, the Bartlett School of Architecture , MIT , and Delft UT , have maintained their ranking from 2023 , with ETH Zurich showing a slight decrease from an equal third position to the fourth. In the sixth position, Harvard University stands out as the top university for employer reputation in this subject. Among the top 10 universities, Politecnico di Milano had the greatest advancement in rankings, moving from the 10th position last year to the 7th.

Read on to discover the top 50 universities for Architecture and Built Environment studies in 2024. To discover the full list of university rankings, go to the official website of the QS World University Rankings .

Related Article

1. The Bartlett School of Architecture | UCL, United Kingdom 2. Massachusetts Institute of Technology (MIT), United States 3. Delft University of Technology , Netherlands 4. ETH Zurich - Swiss Federal Institute of Technology, Switzerland 5. = Manchester School of Architecture , United Kingdom 5. = National University of Singapore (NUS), Singapore 6. Harvard University , United States 7. Politecnico di Milano , Italy 8. Tsinghua University , China (Mainland) 9. University of California, Berkeley (UCB), United States 10. University of Cambridg e, United Kingdom

11. EPFL, Switzerland 12. The University of Hong Kong, Hong Kong SAR 13. Tongji University, China (Mainland) 14. The Hong Kong Polytechnic University, Hong Kong SAR 15. The University of Tokyo, Japan 16. Columbia University, United States 17. University of California, Los Angeles (UCLA), United States 18. RMIT University, Australia 19. Cornell University, United States 20. Universidad Politécnica de Madrid (UPM), Spain

21. = Politecnico di Torino, Italy 21. = Technische Universität Berlin (TU Berlin), Germany 23. Georgia Institute of Technology, United States 24. = Technical University of Munich, Germany 24. = The University of Melbourne, Australia 26. Universitat Politècnica de Catalunya · BarcelonaTech (UPC), Spain 27. The University of Sydney, Australia 28. = Nanyang Technological University, Singapore (NTU), Singapore 29. University of Oxford, United Kingdom 30. = KTH Royal Institute of Technology, Sweden 30. = Pontificia Universidad Católica de Chile (UC), Chile

43. University of British Columbia, Canada 44.= Eindhoven University of Technology, Netherlands 44.= Princeton University, United States 44.= Shanghai Jiao Tong University, China (Mainland) 44.= University of Pennsylvania, United States 48. Peking University, China (Mainland) 49. Yale University, United States 50. = University of Texas at Austin, United States

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40 Facts About Elektrostal

Written by Lanette Mayes

Modified & Updated: 01 Jun 2024

Reviewed by Jessica Corbett

Elektrostal is a vibrant city located in the Moscow Oblast region of Russia. With a rich history, stunning architecture, and a thriving community, Elektrostal is a city that has much to offer. Whether you are a history buff, nature enthusiast, or simply curious about different cultures, Elektrostal is sure to captivate you.

This article will provide you with 40 fascinating facts about Elektrostal, giving you a better understanding of why this city is worth exploring. From its origins as an industrial hub to its modern-day charm, we will delve into the various aspects that make Elektrostal a unique and must-visit destination.

So, join us as we uncover the hidden treasures of Elektrostal and discover what makes this city a true gem in the heart of Russia.

Key Takeaways:

• Elektrostal, known as the “Motor City of Russia,” is a vibrant and growing city with a rich industrial history, offering diverse cultural experiences and a strong commitment to environmental sustainability.
• With its convenient location near Moscow, Elektrostal provides a picturesque landscape, vibrant nightlife, and a range of recreational activities, making it an ideal destination for residents and visitors alike.

Known as the “Motor City of Russia.”

Elektrostal, a city located in the Moscow Oblast region of Russia, earned the nickname “Motor City” due to its significant involvement in the automotive industry.

Home to the Elektrostal Metallurgical Plant.

Elektrostal is renowned for its metallurgical plant, which has been producing high-quality steel and alloys since its establishment in 1916.

Boasts a rich industrial heritage.

Elektrostal has a long history of industrial development, contributing to the growth and progress of the region.

Founded in 1916.

The city of Elektrostal was founded in 1916 as a result of the construction of the Elektrostal Metallurgical Plant.

Located approximately 50 kilometers east of Moscow.

Elektrostal is situated in close proximity to the Russian capital, making it easily accessible for both residents and visitors.

Known for its vibrant cultural scene.

Elektrostal is home to several cultural institutions, including museums, theaters, and art galleries that showcase the city’s rich artistic heritage.

A popular destination for nature lovers.

Surrounded by picturesque landscapes and forests, Elektrostal offers ample opportunities for outdoor activities such as hiking, camping, and birdwatching.

Hosts the annual Elektrostal City Day celebrations.

Every year, Elektrostal organizes festive events and activities to celebrate its founding, bringing together residents and visitors in a spirit of unity and joy.

Has a population of approximately 160,000 people.

Elektrostal is home to a diverse and vibrant community of around 160,000 residents, contributing to its dynamic atmosphere.

Boasts excellent education facilities.

The city is known for its well-established educational institutions, providing quality education to students of all ages.

A center for scientific research and innovation.

Elektrostal serves as an important hub for scientific research, particularly in the fields of metallurgy , materials science, and engineering.

Surrounded by picturesque lakes.

The city is blessed with numerous beautiful lakes , offering scenic views and recreational opportunities for locals and visitors alike.

Well-connected transportation system.

Elektrostal benefits from an efficient transportation network, including highways, railways, and public transportation options, ensuring convenient travel within and beyond the city.

Famous for its traditional Russian cuisine.

Food enthusiasts can indulge in authentic Russian dishes at numerous restaurants and cafes scattered throughout Elektrostal.

Home to notable architectural landmarks.

Elektrostal boasts impressive architecture, including the Church of the Transfiguration of the Lord and the Elektrostal Palace of Culture.

Offers a wide range of recreational facilities.

Residents and visitors can enjoy various recreational activities, such as sports complexes, swimming pools, and fitness centers, enhancing the overall quality of life.

Provides a high standard of healthcare.

Elektrostal is equipped with modern medical facilities, ensuring residents have access to quality healthcare services.

Home to the Elektrostal History Museum.

The Elektrostal History Museum showcases the city’s fascinating past through exhibitions and displays.

A hub for sports enthusiasts.

Elektrostal is passionate about sports, with numerous stadiums, arenas, and sports clubs offering opportunities for athletes and spectators.

Celebrates diverse cultural festivals.

Throughout the year, Elektrostal hosts a variety of cultural festivals, celebrating different ethnicities, traditions, and art forms.

Electric power played a significant role in its early development.

Elektrostal owes its name and initial growth to the establishment of electric power stations and the utilization of electricity in the industrial sector.

Boasts a thriving economy.

The city’s strong industrial base, coupled with its strategic location near Moscow, has contributed to Elektrostal’s prosperous economic status.

Houses the Elektrostal Drama Theater.

The Elektrostal Drama Theater is a cultural centerpiece, attracting theater enthusiasts from far and wide.

Popular destination for winter sports.

Elektrostal’s proximity to ski resorts and winter sport facilities makes it a favorite destination for skiing, snowboarding, and other winter activities.

Promotes environmental sustainability.

Elektrostal prioritizes environmental protection and sustainability, implementing initiatives to reduce pollution and preserve natural resources.

Home to renowned educational institutions.

Elektrostal is known for its prestigious schools and universities, offering a wide range of academic programs to students.

Committed to cultural preservation.

The city values its cultural heritage and takes active steps to preserve and promote traditional customs, crafts, and arts.

Hosts an annual International Film Festival.

The Elektrostal International Film Festival attracts filmmakers and cinema enthusiasts from around the world, showcasing a diverse range of films.

Encourages entrepreneurship and innovation.

Elektrostal supports aspiring entrepreneurs and fosters a culture of innovation, providing opportunities for startups and business development .

Offers a range of housing options.

Elektrostal provides diverse housing options, including apartments, houses, and residential complexes, catering to different lifestyles and budgets.

Home to notable sports teams.

Elektrostal is proud of its sports legacy , with several successful sports teams competing at regional and national levels.

Boasts a vibrant nightlife scene.

Residents and visitors can enjoy a lively nightlife in Elektrostal, with numerous bars, clubs, and entertainment venues.

Promotes cultural exchange and international relations.

Elektrostal actively engages in international partnerships, cultural exchanges, and diplomatic collaborations to foster global connections.

Surrounded by beautiful nature reserves.

Nearby nature reserves, such as the Barybino Forest and Luchinskoye Lake, offer opportunities for nature enthusiasts to explore and appreciate the region’s biodiversity.

Commemorates historical events.

The city pays tribute to significant historical events through memorials, monuments, and exhibitions, ensuring the preservation of collective memory.

Promotes sports and youth development.

Elektrostal invests in sports infrastructure and programs to encourage youth participation, health, and physical fitness.

Hosts annual cultural and artistic festivals.

Throughout the year, Elektrostal celebrates its cultural diversity through festivals dedicated to music, dance, art, and theater.

Provides a picturesque landscape for photography enthusiasts.

The city’s scenic beauty, architectural landmarks, and natural surroundings make it a paradise for photographers.

Connects to Moscow via a direct train line.

The convenient train connection between Elektrostal and Moscow makes commuting between the two cities effortless.

A city with a bright future.

Elektrostal continues to grow and develop, aiming to become a model city in terms of infrastructure, sustainability, and quality of life for its residents.

In conclusion, Elektrostal is a fascinating city with a rich history and a vibrant present. From its origins as a center of steel production to its modern-day status as a hub for education and industry, Elektrostal has plenty to offer both residents and visitors. With its beautiful parks, cultural attractions, and proximity to Moscow, there is no shortage of things to see and do in this dynamic city. Whether you’re interested in exploring its historical landmarks, enjoying outdoor activities, or immersing yourself in the local culture, Elektrostal has something for everyone. So, next time you find yourself in the Moscow region, don’t miss the opportunity to discover the hidden gems of Elektrostal.

Q: What is the population of Elektrostal?

A: As of the latest data, the population of Elektrostal is approximately XXXX.

Q: How far is Elektrostal from Moscow?

A: Elektrostal is located approximately XX kilometers away from Moscow.

Q: Are there any famous landmarks in Elektrostal?

A: Yes, Elektrostal is home to several notable landmarks, including XXXX and XXXX.

Q: What industries are prominent in Elektrostal?

A: Elektrostal is known for its steel production industry and is also a center for engineering and manufacturing.

Q: Are there any universities or educational institutions in Elektrostal?

A: Yes, Elektrostal is home to XXXX University and several other educational institutions.

Q: What are some popular outdoor activities in Elektrostal?

A: Elektrostal offers several outdoor activities, such as hiking, cycling, and picnicking in its beautiful parks.

Q: Is Elektrostal well-connected in terms of transportation?

A: Yes, Elektrostal has good transportation links, including trains and buses, making it easily accessible from nearby cities.

Q: Are there any annual events or festivals in Elektrostal?

A: Yes, Elektrostal hosts various events and festivals throughout the year, including XXXX and XXXX.

Elektrostal's fascinating history, vibrant culture, and promising future make it a city worth exploring. For more captivating facts about cities around the world, discover the unique characteristics that define each city . Uncover the hidden gems of Moscow Oblast through our in-depth look at Kolomna. Lastly, dive into the rich industrial heritage of Teesside, a thriving industrial center with its own story to tell.

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16 high-paying jobs you can get with an associate degree in 2024.

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Associate degrees allow you to test the waters before committing full-time to a career path

If you've just graduated (or are about to graduate) with your associate degree, you will be pleased to know that you have now unlocked the door to a myriad of career opportunities—many of which are lucrative and offer career progression and competitive salaries.

Going to college to pursue a four-year or advanced degree isn't for everyone. But obtaining relevant certifications, practical experience, and continuously updating your skills are accessible to almost everyone, and you can use your associate degree as a stepping stone to further enhance your job prospects and earning potential.

Why Choose An Associate Degree?

Associate degrees are essential in our economy as they enable aspiring professionals to gain practical, hands-on skills, and are more easily accessible and affordable than further undergraduate or postgraduate education.

This ensures you are not tied down to debt for an extended period of time, and you are able to reap many financial rewards through combining this with top-up certifications and training within your chosen field.

Getting an associate degree also allows you to explore and experiment with different careers, relatively risk-free.

Additionally, associate degrees are skills and employment-oriented, so they get you into the workforce sooner than the conventional educational route, and having one tells employers that you are job-ready. You can also choose, in some cases, to study it part-time, which means you can work and gain hands-on experience at the same time, especially

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It also counts towards your bachelor's degree program (so long as it's relevant) if you decided that you wish to pursue your undergraduate studies further.

So in summary, some of the advantages of completing your associate degree include:

• Flexibility
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• You earn almost $8,000 more per year than if you only had a high school diploma

High-Paying Associate Degree Jobs In 2024

So let's imagine you have an associate degree in a business-related field such as human resources or business administration. What high-paying jobs can you secure with your degree?

The below high-paying associate degree jobs all pay $70,000 or more a year, with most paying more than $100,000 on average, according to salary data from Salary.com:

• Administrative services manager—average salary: $151,390
• Sales manager—average salary: $136,584
• Human resources specialist—average salary: $77,324
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• Marketing specialist—average salary: $78,970
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• Event planner
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• Property manager—average salary: $111,920
• Compensation and benefits manager—average salary: $135,817
• Customer service manager—average salary: $100,744
• Operations manager—average salary: $121,531
• Sales consultant—average salary: $103,348
• Business analyst (entry-level)—average salary: $105,720

Associate degrees are not only cost-effective, but they enable you to be job-ready sooner than a ... [+] traditional four-year course

While the above jobs can be secured with your associate degree, it is still essential to look into the specific requirements for each role, and obtain industry and role-specific training, licences, exams, and certifications so that you can be viewed as more highly skilled and qualified for the role by employers. Gaining these extra certifications alongside your associate degree will also help you negotiate for higher pay, so you can make more money.

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