phd thesis template math

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COLLEGE OF LIBERAL ARTS AND SCIENCES

Department of Mathematics

Thesis formatting, introduction.

If you write a Ph.D. thesis, you have to follow the  specifications  of the graduate school.

Additional information and answers to frequently asked questions can be found the graduate school’s Doctoral Degree Programs page.

A thesis in mathematics is invariably written in some form of LaTeX. It is usually quite a large LaTeX project, so it should not be your first attempt at typesetting. This implies that you should have typed a couple articles, quizzes, homeworks or exams in LaTeX before embarking on this. Below, two options have been created that conform to the guidelines set forth by the graduate school. The first is a minimal option that builds on the familiar book class that comes standard with any LaTeX distribution, while the second is a class file to be used in place of the book class, but contains extra content not suitable for all users. You may choose the option that works best in your case.

Below are a few of the well-done thesis variants from our department.

• Thesis class by Waseet Kazmi – 2023
• Thesis class by Ben Salisbury – 2012
• Thesis class by Marc Corluy – 2000

After unzipping put files into  one  directory. Some browsers (e.g. Safari on the Macs in the department) will put the files on your desktop. In this case create a new folder and put them all in there. In any case, make this move before you start compiling, because LaTeX generates a multitude of files when compiling and your desktop will turn into a (more?) disorderly mess.

Also make sure that the extensions are preserved. Some browsers have a tendency to slap on “.txt” at the end.

Open a text editor or a dedicated LaTeX editor,  such as TeXShop  (installed on department Macs).  When you are typing LaTeX code, it is usually clearer to use a fixed width font so that you have a clear view of your indentations and matrices (should there be any). In TeXShop, a good choice is “Courier Bold 14pts”. This font also has different characters for “|” and lowercase L. This is particularly important if you are trying to typeset tables where both “|” and lowercase L are used in the declaration.

You will now have to open some of the files that you downloaded and edit them. Here are descriptions of the set of files prepared by Ben Salisbury, listed (as best as possible) in order of priority.

• macros.tex  This file is the heart of your personalization. If you have been using LaTeX for your other manuscripts and have developed your own set of user-defined commands, then you should put them in this file. If you are importing text into one of the later files from an older LaTeX file with predefined commands, you will want your personal macros to be loaded already before fumbling with LaTeX error messages.

so those who prefer to use, say,

• thesis.tex  Lines 8 through 17 of this file require the user to input their personal data; i.e., name, degrees, year of graduation, advisory committee, and title. Further down in the file, you’ll notice the command \input{ch1.tex} . This imports the text from  ch1.tex  to the current position in this file. By copying the command and changing ch1 to ch2 (and so on), you will be able to link all chapters of your work to this file. Essentially, this file is the glue that holds the whole project together. This is also the file on which the TeX engine is run to obtain the desired output.
• abstract.tex ,  acknowledgments.tex , and  ch1.tex  should be self-explanatory. Of course, you should have more than one chapter to their thesis. The challenge of creating LaTeX files for the subsequent chapters is left to the user. Good luck!
• thesis.bib  This is a standard BibTeX file to be used as the source for your bibliography output. This may take some time to learn, so the file comes preloaded with a sample  .bib  file. Your best bet is find some literature on BibTeX to tackle this beast. Of course, one could simply replace the bibligraphy declarations in the  thesis.tex  with a manual bibliography, as Marc Corluy does in his setup below. To each his own.
• frontmatter.tex  Simply put: don’t touch it. If you need to make changes here, you should probably consider using Marc Corluy’s template (unless you are familiar enough to make the appropriate changes).

Here are comments on the files prepared by Marc Corluy.

• bibliography.tex  is not your first concern. The references that are listed in there are there to give you an idea about the exact format in which a book or article should be entered into this file.
• chapter1.tex ,  chapter2.tex , and  introchapter.tex  are almost empty; they are merely there to show you how to use titles and sections.
• The file  definitions.tex  you can completely ignore if you want to. It contains (re)definitions of some symbols and a fairly long list of basic mathematical symbols and functions. It can be handy to get a certain feel for how to use “def” in LaTeX and you can also add whatever you end up using often in your thesis.
• Most of the static data (title of the thesis, your previous degrees, your advisors, acknowledgment etc.) are entered in  front_matter.tex . The comments in this file will explain you what to put where.
• If you want to explain some of the notation that you use in your thesis, you should do so in notationpage.tex . It is technically part of the front matter of the thesis, but it is a separate file because this is probably the only part of the front matter data that changes as the thesis evolves.
• You will probably not change much to  settings.tex . This file loads a lot of the extensions to LaTeX and defines the elements of the  amsthm.sty  package, as is explained in the comments in  settings.tex .
• As you can guess,  thesis.tex  is the file where it all comes together. The includeonly command will allow you to compile only parts of your thesis if you prefer to do so. Note that you should compile the thesis twice to make sure that all the labels are set correctly.
• In principle, you should never change anything to  uconnthesis.cls .

Write your thesis. Good Luck.

University of Missouri

College of Arts and Science

Mathematics

Thesis template.

The Graduate School's dissertation and thesis guidelines can be found here .

Below you can download Latex templates for writing dissertations.

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DEPARTMENT OF MATHEMATICS

Thesis template for latex2e.

The file below is a template for using the nuthesis.cls file for a thesis at the Mathematics Department of Northwestern. Make sure that you download nuthesis-template.tex (template) and nuthesis.cls (LaTeX class).

If you find any problem with it, email me (mlerma at math dot northwestern dot edu).

• nuthesis-template.tex : Template for Math NU Thesis
• nuthesis.cls : LaTeX document class used by Math NU Thesis (current version: 2018/04/23 v1.17a)
• Sample Thesis (PDF) - sample thesis including various features to show how the final PDF version should look.

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Style files (LaTeX) for theses at Penn Math

Theses at Penn (masters and Ph.D.) must be submitted according to the  official university guidelines .

The following style files can serve as a guide in preparing masters or doctoral theses in the correct format. (You should still check the official university website listed above, to see other details and to adjust to any changes that may have been made.)

• Ph.D. LaTeX style file (The University provides a standard LaTeX template that complies with all formatting requirements)
• PH.D. Dissertation Sample Title Page
• Ph.D. Dissertation Manual
• Masters thesis style
• Masters Thesis Title Page Sample.pdf
• Masters Thesis LaTeX style

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Math Report, Thesis, or Dissertation Template for Latex | Math | SIU

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College of Engineering, Computing, Technology, and Mathematics

Graduate programs, math report, thesis, or dissertation template for latex.

Caution : Requirements of the Graduate School may have changed since this was written. Check their formatting page here for Dissertations and Theses .

In Mathematics most papers are written in a type setting markup language called LaTeX - which evolved from TeX. It is much better at handling equations than Word type programs. It will also automatically number theorems, lemmas, definitions and bibliographic entries. The various LaTeX processing programs can be found at CTAN . They are free. The download time is about an hour. For Windows most people would download proTeX while Mac users would need MacTeX. Extra packages can be included to handle specialized needs such as graphics, commutative diagrams, chemistry notation and even chess moves.

LaTeX is a computer programming language. When you run the program it creates your document as output. It is not like Word where you see the final result as you type. As with most programs there is some header material, then the program begins, then it ends. In LaTeX the header starts with

\documentclass[*]{format}

where * is 10pt or 12pt and sets the default font size and format may be "article", "report", "amsart", "book" or various other options. For your report, thesis or dissertation use "siugrad51" as the format. In the header various packages are included such as

\usepackage{graphicx}

which loads a graphics package. There are also commands for setting formatting options for theorems and such. None of this in the output. Then a

\begin{document}

indicates the beginning of the executable program. The final line is

\end{document}

In between will be the commands and text that generate your title page, table of contents, the body of your paper, and the bibliography.

There are many books and web-pages, in addition to CTAN, on how to use LaTeX. Here are two sites.

• https://www.latex-project.org/help/books/
• https://en.wikibooks.org/wiki/LaTeX

The main file is Thesis.tex . It is the file to run in whatever LaTeX program you are using. It is used for reports and dissertations in addition to theses. Thesis.tex needs various other files however. The first of these is siugrad51.cls . Never edit this file.

The other files you will edit with your information. For example, your abstract will be in the file Abstract.tex . Edit this file to replace the sample abstract with your own.

The sample has three chapters. You will likely have more. You can create files ch4.tex , ch5.tex and so on. You will need to edit the Thesis.tex file so that it knows to include these.

The *.ps files have figures in them. Ignore them if you do not need figures in your paper.

Here is a list of the major files:

• siugrad51.cls
• Copyright.tex
• Abstract.tex
• Approval.tex (Your committee approves your work.)
• Acknow.tex (For any acknowledgments: "My advisor helped soooo much ...")
• Dedication.tex ("I dedicate this to my parents.")
• Preface.tex (Why my work is so important! Not needed for reports.)
• Biblio.tex (For the bibliography.)
• Vita.tex (Hire me! Hire me!!)

Learning LaTeX takes some practice. Here are a couple of simpler sample documents.

• Calculator practice sheet: LaTeX file . Resulting PDF file .
• Calculus quiz: LaTeX file . Resulting PDF file .

Department of Mathematics

Latex files and templates.

This page contains links to several LaTeX files, provided by graduate students in our department, that were useful to the contributors when they prepared their theses. Below are also resources such as posters and presentations.

LaTeX files for theses

These files are made available "as is". This means it is your responsibility to check that the documents you produce will meet current OSU Graduate School thesis requirements.

Each file contains comment lines that explain its purpose and background information.

• Document class file
• Style option file
• First class option
• Second class option
• Third class option
• Template file
• A PDF document that shows the output produced by the OSUMathThesisTemplate.tex file (note that the first page is an obligatory blank flyleaf)
• Update of gthesis2
• BeavTex, by Neville Mehta (among others)

Other LaTeX templates

These files are made available "as is".

• Style files and .tex source file to create a beamer poster with beamercolorthemeosu style (updated 2024)
• Style files and .tex source file to create a beamer presentation with beambercolorthemeosu style (updated 2024)
• A presentation from NCSU on getting started with Beamer (presentations).

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Preparing Your Ph.D. Dissertation Using LaTeX

Introduction, preparing the latex file, downloading the macros to your computer, steps for final submission.

Last updated 11 February 2012

Writing Your Thesis

The thesis should be the heart of your graduate school career. It will certainly be the most involved and difficult thing you do while in grad school.

Of course, before writing the thesis, one needs to have research to report. To make things easier on yourself, it’s a good idea to record your results as you work. Don’t rely on your memory to save you when you need to write everything down in your thesis! While you needn’t have everything written in final draft, having a detailed account of your research progress is a great idea. When you start your research, you and your advisor should try to establish a goal for your thesis as soon as possible. Performing research without a goal can be very difficult and even more frustrating.

When one does mathematical research, one rarely knows exactly where they are going. Gaining mathematical intuition comes from lots of hard work, not simply being very smart. A tried and true method for doing research is to do lots of examples, and make simplifying assumptions when needed. Before you can prove a theorem, you need a conjecture; these aren’t going to just fall in your lap! The idea is that after seeing enough examples, one can make a general conjecture and then hopefully prove it.

It’s a good idea to find out who else in the community (both in and out of the department) thinks about your field. You may find it useful to contact these people from time to time. This serves multiple purposes: you’ll lessen the chance of duplicating someone else’s research; you’ll find multiple sources of advice. While your advisor will likely be the single biggest source of help in writing your thesis, they needn’t be your only source. Talking to many people about your work will give you several different perspectives on the same thing. Seeing the same thing in different ways can be invaluable in understanding something.

When you have enough results such that you and your advisor are satisfied, you need to organize your work into one coherent document. This can be a highly non-trivial task! Make sure that your problem is stated clearly, along with why it is important, and how you solved it. Your thesis shouldn’t simply be a list of definitions, theorems, and proofs; there should be quite a bit of prose to explain the mathematical ambiance of your work. What is the motivation for even thinking about this problem? The more people that find your research interesting, the better.

Please refer to this manual for guidelines on formatting your thesis:  http://grad.ucsd.edu/_files/academics/BlueBook%202017-18%20updated%204.13.18.pdf

Defending Your Thesis

Setting a time to defend your dissertation can be frustrating. Contact your committee members well in advance in order to check availability and schedule a date/time.

You would think that finding a time for 6 people to meet would be an easy task. However, it can be exceedingly difficult. You may need to be very flexible and accommodating in order to make things work. You may also need to be persistent about asking if you have a non-responsive committee member.

Please carefully review these guidelines regarding committee attendance:

Department  Policy on Graduate Examination  Format:

Effective Fall 2022, the default format of a graduate examination in the Mathematics Department is  in person , i.e.,  all the committee members and the student are physically present in the same room for a scheduled examination . (This is set by the Division of GEPA.) However, when an unexpected situation arises and affects a committee member’s ability to participate in the examination synchronously, and when the student agrees, a remote or hybrid examination is allowed and can be decided by the committee chair or co-chairs. The following guidelines should be followed to arrange a remote or hybrid, synchronous examination:

• In forming the committee, the student needs to provide different examination options, in person, remote, or hybrid, to potential faculty committee members, and based on the conversation, the student can decide whether or not they want the faculty member on their committee. If such conversation did not take place, and if an unexpected situation arises, the faculty committee member can request remote examination, and can be released from the committee duty should the student refuse the request.
• In general, the graduate student is not allowed to opt for a remote examination unless there are extenuating circumstances, such as illness, travel difficulties related to visa problems, or a graduation deadline. Under such circumstances, the committee chair can decide to reschedule an in-person examination, or have a remote or hybrid examination.
• According to the Division of GEPA, there must be sufficient expertise among present members to examine the student. If a committee member must be absent for the scheduled exam, it is permissible for one absent committee member to examine the candidate on a separate date. The committee chair, or one co-chair, must participate synchronously in the scheduled exam.

Make sure to inform the PhD staff advisor in advance if any of your committee members will not be physically present.

During this scheduling phase, you also want to schedule your “Preliminary Appointment” with Graduate Division:  https://gradforms.ucsd.edu/calendar/index.php  – this appointment is optional but highly recommended! The purpose of this appointment is for them to check the margins and the formatting of your dissertation. While the above information should get you through this part without any problem, sometimes there are minor issues that arise and must be confronted (for example, published work that shows up in your dissertation has some extra requirements associated to it). The meeting should last about 30 minutes and you’ll receive a couple questionnaires to complete before your final appointment. You will also be required to schedule a Final Appointment with Graduate Division – allow at least a few days between your defense and your final appointment in order to finalize department paperwork.

In addition, the following information is critical to you completing your thesis, defending it, and completing your PhD:

• The university requires that your committee members each have a good readable draft of your dissertation at least FOUR WEEKS before your final defense.
• It  is your responsibility  to make arrangements with each committee member for the date and time of your defense.  Room reservations should be made at the Front Desk (in person or email to  [email protected])
• The  Final Report  form must have the original signatures of all members of the doctoral committee; the  Final Report  must also be signed by the program chair. (The  Final Report  form is initiated by the graduate coordinator and signatures are obtained from each faculty member through DocuSign.). Proxy signatures are not accepted.
• After your examination, committee chair emails PhD staff advisor confirming the passing of the defense. PhD staff advisor prepares Final Report through DocuSign.
• The final version of the thesis must conform to procedures outlined in the " Preparation and Submission Manual for Doctoral Dissertations and Master's Theses "
• The student submits the final approved dissertation to the Graduate Division  at the final document review  (the  Final Report  form is routed electronically from the program’s graduate coordinator via DocuSign). Final approval and acceptance of the dissertation by the Dean of the Graduate Division (on behalf of the University Archivist and Graduate Council) represents the final step in the completion of all requirements for the doctoral degree.

A few other suggestions:

About a week before you defend, you should send an email to your committee to remind them that your defense is coming, and you might even want to send a day-before or day-of reminder.

You should discuss the details of your defense with your advisor, but it’s basically a 50-minute talk where you highlight the main results of your dissertation. The audience is usually your committee plus a few graduate students.

Once Graduate Division has signed off on your thesis, it is time to submit your thesis online to Proquest/UMI. When you do this, they give you an option to purchase bound copies of your thesis from them. This is not particularly appealing for three reasons:

• They are rather pricey, about $40-$60 per copy
• They will print it exactly as you submitted it, according to Graduate Division standards: double-spaced, 8.5×11, etc, which doesn’t make for an attractive book. (How many of the math books on your shelf are 8.5×11 double-spaced?)

Fortunately, another option is available: self-publishing services. Originally these were intended for authors who had written a book, but couldn’t find a publisher for it, so they’d have it printed at their own expense. Nowadays, there are online sites filling this market, where you submit your manuscript and design the book yourself through their site. They can print on demand, so there is no minimum number of copies to order, and they can be quite inexpensive. A former graduate student, Nate Eldredge, chose to go with Lulu, so this article will describe that service.

You can begin by creating an account on Lulu’s site, which is pretty self-explanatory. They have several different book types available. I decided to go with a 6×9 “casewrap hardcover”, which is a pretty standard size and style for a book. If you have a yellow Springer book on your shelf, that’s a pretty good facsimile of what we’re talking about here.

The main issue, then, is reformatting the thesis into a 6×9 format. Fortunately, LaTeX makes this pretty easy. Pretty much, you just need to swich from the UCSD thesis class to the standard LaTeX book class and make a few other changes. Here is a modified version of the UCSD thesis template, modified to fit this format. Nate put comments in various places indicating the relevant changes and choices he made. In several places he took advantage of the fact that he no longer had to conform to OGS’s awkward requirements to make the thesis more “book-like” and remove some things that wouldn’t appear in a book. It shouldn’t take you more than an hour or two to convert your thesis file, depending how fastidious you are. (If you don’t want to go to this trouble, Lulu will also print 8.5×11 books. You could use your existing PDF without change. It may not look as pretty, but it will still be cheaper than UMI.)

Note that you should check carefully for overfull \hbox’es when you compile the thesis, because changing the paper size may have caused things to run outside the margins or off the page. You may have to manually break up long equations or reword paragraphs. Also, the book class will insert several apparently blank pages; these relate to the fact that the book will be printed double-sided, and guarantee that certain things always appear on the left- or right-hand side of a spread. If you want a book-like effect, you should not try to defeat this.

Once you’ve generated an appropriate 6×9 PDF file and uploaded it to Lulu, you can design a cover for it. They have a couple of different interfaces. For his thesis, Nate created a pretty simple cover with a UCSDish blue color scheme, and the abstract and a graduation photo on the back cover.

When you are all finished, Lulu creates a page where you or anyone else can buy copies of the book. (You have the option of keeping this private, so that only people you share it with can find it.) Then you can buy as many copies as you want to keep or give away, and you can also send the link to your parents if they want to buy lots of copies for all the relatives. (In this case, Lulu’s “revenue” option may be useful, where you select an amount to add to the price of the book, which Lulu passes along to you after each sale. The page remains up indefinitely if you want more copies later.

If you want to see what a finished product looks like, Nate Eldredge’s thesis Lulu page is located at http://www.lulu.com/content/7559872.

The book turned out quite nice looking, with quality and appearance comparable to commercially published math books. And they were only $15.46 per copy (plus tax and shipping). Overall that is a vast improvement over UMI.

Also, Nate uploaded the template as a Lulu project. It can be found at http://www.lulu.com/content/7686303.

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Thesis and Dissertation template

Campus Address : University of New Mexico Department of Mathematics and Statistics 1 University of New Mexico, MSC01 1115 Albuquerque, NM 87131

Physical Address : University of New Mexico Department of Mathematics and Statistics 311 Terrace Street NE, Room 389 Albuquerque, NM  87106

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UNM LaTeX Dissertation and Thesis template

Disclaimer:  The template provided herein is not guaranteed to meet OGS standards . Furthermore, while most packages are supported, use \usepackage{} carefully. Add packages one at a time and test their functionality. If a particular package breaks the style sheet, don't use the package! I can not support customizing the style for each of the hundreds of available packages (some of which are buggy and will never be compatible).

This LaTeX setup is known to work properly only with LINUX installations. It may or may not work with other configurations.

Further Reference:  Consult the official  OGS  website for further formatting tips and feel free to e-mail the maintainer with comments or recommendations.

IMPORTANT UPDATE: October 15, 2014: New volunteer maintainer: Dr. David A. Murrell ( [email protected] ) A usable version of a signature page is currently included in the stylesheet distribution directory compile it separately and replace the first page of your completed dissertation file with it. Additionally, the copyright page has been removed to conform to OGS standards.

IMPORTANT UPDATE: August 26, 2011: The unmeethesis.cls style within the 'style_sheets' directory now conforms to the new OGS requirement eliminating the title page red box and the abstract title page! If you are using the old style sheet, you can replace it with this new unmeethesis.cls for compliance. The rest of your document will remain unchanged.

Please click "README.txt" for information on the directory structure.

• UNM_Latex_Template.tar.bz2  (Linux or Mac)
• UNM_Latex_Template.zip  (Windows)

(the original page was  https://math.unm.edu/~gthesis/latex/ )

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Master's thesis latex template.

"LaTeX is a document preparation system. When writing, the writer uses plain text as opposed to the formatted text found in WYSIWYG ("what  you see is what you get") word processors. The writer uses markup tagging conventions to define the general structure of a document (such as article, book, letter, or thesis), to stylise text throughout a document (such as bold and italics), and to add citations and cross-references. A TeX distribution such as TeX Live or MikTeX is used to produce an output file (such as PDF or DVI) suitable for printing or digital distribution. Within the typesetting system, its name is stylised as L a T e X ." — Adopted from Wikipedia. ( https://en.wikipedia.org/wiki/LaTeX )

• Linux/Unix — sdsu-thesis-latex.tar.gz
• Windows — sdsu-thesis-latex.zip
• Note: The generated sample pdf is available because many people asked for it, not because it is a good idea to use it as a reference. The style file and sample LaTeX document contain instructions and comments on why/how certain things were done in a certain way...
• Note: Official Unofficial Guide for Thesis Chairs
• Note: Official LaTeX format approval form; this is an official SDSU form — Do Not Edit .
• Peter Blomgren ( [email protected] , webpage ) reviews LaTeX theses for the Department of Mathematics and Statistics; the Department of Computer Science; and the Computational Sciences program; thus bypassing the review by Montezuma Publishing
• Fedora >> sudo yum install texlive* texmaker
• Ubuntu — help/community/LaTeX
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Masters and PhD Thesis and Defense Guidelines

The crucial work produced in the course of graduate study for PhD students is a doctoral dissertation. MS students may also choose to culminate their studies by completing a master's thesis. There is no length requirement for these works, and they are read and approved by a committee put together by the student and their advisor. For PhD candidates, this committee consists of four members of which one must be an outside examiner from outside Tufts. For MS candidates, the committee must include at least 3 faculty members. The department provides a LaTeX template designed to help students meet the Tufts formatting requirements with basic instructions for setting up the document, which can be found on the  Organization for Graduate Students in Mathematics Resources page .

Thesis submissions deadlines and other important guidelines can be found in the  GSAS Handbook  and GSAS'  Graduation website . It is essential that you read and understand the Graduate School requirements in order to ensure an on-time graduation. Additionally, students must submit the "Thesis/Dissertation – Request for Final Approval" form to the chair of their committee once a final draft of the document, including any revisions recommended by the committee, is approved for publication.

During the electronic submission process, students are given the opportunity to order bound paper copies of their thesis or dissertation from ProQuest. The department requests that PhD students reserve   one of these bound copies  to be kept in our library, and will cover the costs for that extra copy.

Thesis Defense

In the last term before graduation, the student and advisor will schedule a thesis defense, which is announced to and open to the whole department and to visitors invited by the candidate.

The standard format is a presentation by the student followed by questions from the audience. The general audience is then asked to leave, and questions from the committee follow. In addition to the Graduate School rules, the Math Department has some additional requirements regarding thesis defenses:

• The defense must be scheduled for a date at least 1 week prior to the thesis submission deadline, allowing time for any corrections to the thesis suggested by the committee to be made;
• The defense date must be finalized and confirmed with the thesis committee 2 weeks in advance;
• The defense date must be announced to the Department and advertised at least 2 weeks prior to the defense date, and with subsequent reminders announced by the office;
• Students are expected to send a draft of their thesis to their committee 2 weeks prior to their defense. This does not have to be a finalized version, but should be substantially complete;
• While the defense must occur with the student and all committee members (except one with permission) attending in person, the defense may be streamed virtually with the consent of the student and committee, allowing for a diverse audience. Similarly, if the student and committee agrees, the public portion of the defense may be recorded. It is strongly encouraged that faculty and graduate students in the department attend these defenses to show support for each other.

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Dept of Math, Stat, & Comp Sci

College of liberal arts and sciences, thesis templates, latex macros for typesetting uic theses.

A computer science student, Peter Snyder , has rewritten the UIC LaTeX macros and published them in his GitHub repository .

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LaTeX document class for LSU theses and dissertations

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• Installing a TeX System
• LaTeX Thesis/Dissertation

To produce LaTeX documents that are reasonably conformant to LSU Grad School requirements for theses and dissertations, our document class “lsuthesis” may be used in place of the standard “book” document class. The separate “lsutitle” package provides helper macros and produces the title page. That package is kept separate from the document class so that one can easily switch to other document classes.

Note: This is the 2024/05/19 version. This is a work-in-progress provided in this preliminary form to assist graduate students with an immediate need.

Document class

• lsuthesis.cls
• lsutitle.sty

To use the template below, you also need the two files above.

• mythesis.tex
• mythesis.pdf

Getting started

For an example of what can be produced, take a look at “mythesis.pdf”. To produce your own thesis or dissertation, download the other three files and modify “mythesis.tex”. More specifically:

• You need access to a TeX/LaTeX environment ;
• Place “mythesis.tex”, “lsuthesis.cls”, “lsutitle.sty” together in a folder;
• Use a text editor to modify “mythesis.tex”;
• Tell your your LaTeX environment to convert your modified “mythesis.tex” into a new “mythesis.pdf”;
• Repeat the last two steps as often as needed.

Debugging conformance issues

When debugging conformance issues, start by comparing your preamble to that of the original “mythesis.tex” from this page. Many conformance issues are not due to the “lsuthesis” document class but instead due to conflicts arising from unnecessary preamble content (particularly macro definitions and \usepackage{...} lines) that the student has copied from somewhere but doesn't actually need.

If you are a math graduate student using these files and receive reports from LSU Grad School over conformance issues that are specific to the document class (e.g., issues with margin sizes or with font sizes or with spacing), please contact Alexander Perlis. The math department also appreciates feedback from other departments and might be able to provide some assistance but ultimately is not responsible for helping students from other departments with the preparation of conformant documents.

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Mathematics PhD theses

A selection of Mathematics PhD thesis titles is listed below, some of which are available online:

2022   2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991

Melanie Kobras –  Low order models of storm track variability

Ed Clark –  Vectorial Variational Problems in L∞ and Applications to Data Assimilation

Katerina Christou – Modelling PDEs in Population Dynamics using Fixed and Moving Meshes  

Chiara Cecilia Maiocchi –  Unstable Periodic Orbits: a language to interpret the complexity of chaotic systems

Samuel R Harrison – Stalactite Inspired Thin Film Flow

Elena Saggioro – Causal network approaches for the study of sub-seasonal to seasonal variability and predictability

Cathie A Wells – Reformulating aircraft routing algorithms to reduce fuel burn and thus CO 2 emissions  

Jennifer E. Israelsson –  The spatial statistical distribution for multiple rainfall intensities over Ghana

Giulia Carigi –  Ergodic properties and response theory for a stochastic two-layer model of geophysical fluid dynamics

André Macedo –  Local-global principles for norms

Tsz Yan Leung  –  Weather Predictability: Some Theoretical Considerations

Jehan Alswaihli –  Iteration of Inverse Problems and Data Assimilation Techniques for Neural Field Equations

Jemima M Tabeart –  On the treatment of correlated observation errors in data assimilation

Chris Davies –  Computer Simulation Studies of Dynamics and Self-Assembly Behaviour of Charged Polymer Systems

Birzhan Ayanbayev –  Some Problems in Vectorial Calculus of Variations in L∞

Penpark Sirimark –  Mathematical Modelling of Liquid Transport in Porous Materials at Low Levels of Saturation

Adam Barker –  Path Properties of Levy Processes

Hasen Mekki Öztürk –  Spectra of Indefinite Linear Operator Pencils

Carlo Cafaro –  Information gain that convective-scale models bring to probabilistic weather forecasts

Nicola Thorn –  The boundedness and spectral properties of multiplicative Toeplitz operators

James Jackaman  – Finite element methods as geometric structure preserving algorithms

Changqiong Wang - Applications of Monte Carlo Methods in Studying Polymer Dynamics

Jack Kirk - The molecular dynamics and rheology of polymer melts near the flat surface

Hussien Ali Hussien Abugirda - Linear and Nonlinear Non-Divergence Elliptic Systems of Partial Differential Equations

Andrew Gibbs - Numerical methods for high frequency scattering by multiple obstacles (PDF-2.63MB)

Mohammad Al Azah - Fast Evaluation of Special Functions by the Modified Trapezium Rule (PDF-913KB)

Katarzyna (Kasia) Kozlowska - Riemann-Hilbert Problems and their applications in mathematical physics (PDF-1.16MB)

Anna Watkins - A Moving Mesh Finite Element Method and its Application to Population Dynamics (PDF-2.46MB)

Niall Arthurs - An Investigation of Conservative Moving-Mesh Methods for Conservation Laws (PDF-1.1MB)

Samuel Groth - Numerical and asymptotic methods for scattering by penetrable obstacles (PDF-6.29MB)

Katherine E. Howes - Accounting for Model Error in Four-Dimensional Variational Data Assimilation (PDF-2.69MB)

Jian Zhu - Multiscale Computer Simulation Studies of Entangled Branched Polymers (PDF-1.69MB)

Tommy Liu - Stochastic Resonance for a Model with Two Pathways (PDF-11.4MB)

Matthew Paul Edgington - Mathematical modelling of bacterial chemotaxis signalling pathways (PDF-9.04MB)

Anne Reinarz - Sparse space-time boundary element methods for the heat equation (PDF-1.39MB)

Adam El-Said - Conditioning of the Weak-Constraint Variational Data Assimilation Problem for Numerical Weather Prediction (PDF-2.64MB)

Nicholas Bird - A Moving-Mesh Method for High Order Nonlinear Diffusion (PDF-1.30MB)

Charlotta Jasmine Howarth - New generation finite element methods for forward seismic modelling (PDF-5,52MB)

Aldo Rota - From the classical moment problem to the realizability problem on basic semi-algebraic sets of generalized functions (PDF-1.0MB)

Sarah Lianne Cole - Truncation Error Estimates for Mesh Refinement in Lagrangian Hydrocodes (PDF-2.84MB)

Alexander J. F. Moodey - Instability and Regularization for Data Assimilation (PDF-1.32MB)

Dale Partridge - Numerical Modelling of Glaciers: Moving Meshes and Data Assimilation (PDF-3.19MB)

Joanne A. Waller - Using Observations at Different Spatial Scales in Data Assimilation for Environmental Prediction (PDF-6.75MB)

Faez Ali AL-Maamori - Theory and Examples of Generalised Prime Systems (PDF-503KB)

Mark Parsons - Mathematical Modelling of Evolving Networks

Natalie L.H. Lowery - Classification methods for an ill-posed reconstruction with an application to fuel cell monitoring

David Gilbert - Analysis of large-scale atmospheric flows

Peter Spence - Free and Moving Boundary Problems in Ion Beam Dynamics (PDF-5MB)

Timothy S. Palmer - Modelling a single polymer entanglement (PDF-5.02MB)

Mohamad Shukor Talib - Dynamics of Entangled Polymer Chain in a Grid of Obstacles (PDF-2.49MB)

Cassandra A.J. Moran - Wave scattering by harbours and offshore structures

Ashley Twigger - Boundary element methods for high frequency scattering

David A. Smith - Spectral theory of ordinary and partial linear differential operators on finite intervals (PDF-1.05MB)

Stephen A. Haben - Conditioning and Preconditioning of the Minimisation Problem in Variational Data Assimilation (PDF-3.51MB)

Jing Cao - Molecular dynamics study of polymer melts (PDF-3.98MB)

Bonhi Bhattacharya - Mathematical Modelling of Low Density Lipoprotein Metabolism. Intracellular Cholesterol Regulation (PDF-4.06MB)

Tamsin E. Lee - Modelling time-dependent partial differential equations using a moving mesh approach based on conservation (PDF-2.17MB)

Polly J. Smith - Joint state and parameter estimation using data assimilation with application to morphodynamic modelling (PDF-3Mb)

Corinna Burkard - Three-dimensional Scattering Problems with applications to Optical Security Devices (PDF-1.85Mb)

Laura M. Stewart - Correlated observation errors in data assimilation (PDF-4.07MB)

R.D. Giddings - Mesh Movement via Optimal Transportation (PDF-29.1MbB)

G.M. Baxter - 4D-Var for high resolution, nested models with a range of scales (PDF-1.06MB)

C. Spencer - A generalization of Talbot's theorem about King Arthur and his Knights of the Round Table.

P. Jelfs - A C-property satisfying RKDG Scheme with Application to the Morphodynamic Equations (PDF-11.7MB)

L. Bennetts - Wave scattering by ice sheets of varying thickness

M. Preston - Boundary Integral Equations method for 3-D water waves

J. Percival - Displacement Assimilation for Ocean Models (PDF - 7.70MB)

D. Katz - The Application of PV-based Control Variable Transformations in Variational Data Assimilation (PDF- 1.75MB)

S. Pimentel - Estimation of the Diurnal Variability of sea surface temperatures using numerical modelling and the assimilation of satellite observations (PDF-5.9MB)

J.M. Morrell - A cell by cell anisotropic adaptive mesh Arbitrary Lagrangian Eulerian method for the numerical solution of the Euler equations (PDF-7.7MB)

L. Watkinson - Four dimensional variational data assimilation for Hamiltonian problems

M. Hunt - Unique extension of atomic functionals of JB*-Triples

D. Chilton - An alternative approach to the analysis of two-point boundary value problems for linear evolutionary PDEs and applications

T.H.A. Frame - Methods of targeting observations for the improvement of weather forecast skill

C. Hughes - On the topographical scattering and near-trapping of water waves

B.V. Wells - A moving mesh finite element method for the numerical solution of partial differential equations and systems

D.A. Bailey - A ghost fluid, finite volume continuous rezone/remap Eulerian method for time-dependent compressible Euler flows

M. Henderson - Extending the edge-colouring of graphs

K. Allen - The propagation of large scale sediment structures in closed channels

D. Cariolaro - The 1-Factorization problem and same related conjectures

A.C.P. Steptoe - Extreme functionals and Stone-Weierstrass theory of inner ideals in JB*-Triples

D.E. Brown - Preconditioners for inhomogeneous anisotropic problems with spherical geometry in ocean modelling

S.J. Fletcher - High Order Balance Conditions using Hamiltonian Dynamics for Numerical Weather Prediction

C. Johnson - Information Content of Observations in Variational Data Assimilation

M.A. Wakefield - Bounds on Quantities of Physical Interest

M. Johnson - Some problems on graphs and designs

A.C. Lemos - Numerical Methods for Singular Differential Equations Arising from Steady Flows in Channels and Ducts

R.K. Lashley - Automatic Generation of Accurate Advection Schemes on Structured Grids and their Application to Meteorological Problems

J.V. Morgan - Numerical Methods for Macroscopic Traffic Models

M.A. Wlasak - The Examination of Balanced and Unbalanced Flow using Potential Vorticity in Atmospheric Modelling

M. Martin - Data Assimilation in Ocean circulation models with systematic errors

K.W. Blake - Moving Mesh Methods for Non-Linear Parabolic Partial Differential Equations

J. Hudson - Numerical Techniques for Morphodynamic Modelling

A.S. Lawless - Development of linear models for data assimilation in numerical weather prediction .

C.J.Smith - The semi lagrangian method in atmospheric modelling

T.C. Johnson - Implicit Numerical Schemes for Transcritical Shallow Water Flow

M.J. Hoyle - Some Approximations to Water Wave Motion over Topography.

P. Samuels - An Account of Research into an Area of Analytical Fluid Mechnaics. Volume II. Some mathematical Proofs of Property u of the Weak End of Shocks.

M.J. Martin - Data Assimulation in Ocean Circulation with Systematic Errors

P. Sims - Interface Tracking using Lagrangian Eulerian Methods.

P. Macabe - The Mathematical Analysis of a Class of Singular Reaction-Diffusion Systems.

B. Sheppard - On Generalisations of the Stone-Weisstrass Theorem to Jordan Structures.

S. Leary - Least Squares Methods with Adjustable Nodes for Steady Hyperbolic PDEs.

I. Sciriha - On Some Aspects of Graph Spectra.

P.A. Burton - Convergence of flux limiter schemes for hyperbolic conservation laws with source terms.

J.F. Goodwin - Developing a practical approach to water wave scattering problems.

N.R.T. Biggs - Integral equation embedding methods in wave-diffraction methods.

L.P. Gibson - Bifurcation analysis of eigenstructure assignment control in a simple nonlinear aircraft model.

A.K. Griffith - Data assimilation for numerical weather prediction using control theory. .

J. Bryans - Denotational semantic models for real-time LOTOS.

I. MacDonald - Analysis and computation of steady open channel flow .

A. Morton - Higher order Godunov IMPES compositional modelling of oil reservoirs.

S.M. Allen - Extended edge-colourings of graphs.

M.E. Hubbard - Multidimensional upwinding and grid adaptation for conservation laws.

C.J. Chikunji - On the classification of finite rings.

S.J.G. Bell - Numerical techniques for smooth transformation and regularisation of time-varying linear descriptor systems.

D.J. Staziker - Water wave scattering by undulating bed topography .

K.J. Neylon - Non-symmetric methods in the modelling of contaminant transport in porous media. .

D.M. Littleboy - Numerical techniques for eigenstructure assignment by output feedback in aircraft applications .

M.P. Dainton - Numerical methods for the solution of systems of uncertain differential equations with application in numerical modelling of oil recovery from underground reservoirs .

M.H. Mawson - The shallow-water semi-geostrophic equations on the sphere. .

S.M. Stringer - The use of robust observers in the simulation of gas supply networks .

S.L. Wakelin - Variational principles and the finite element method for channel flows. .

E.M. Dicks - Higher order Godunov black-oil simulations for compressible flow in porous media .

C.P. Reeves - Moving finite elements and overturning solutions .

A.J. Malcolm - Data dependent triangular grid generation. .

Senior Thesis

This page is for Undergraduate Senior Theses.  For Ph.D. Theses, see here .

A senior thesis is required by the Mathematics concentration to be a candidate for graduation with the distinction of High or Highest honors in Mathematics. See the document ‘ Honors in Mathematics ’ for more information about honors recommendations and about finding a topic and advisor for your thesis. With regards to topics and advisors: The document ‘ Faculty research areas ’ lists the research interests of current members of the Math Department.

So that Math Department senior theses can more easily benefit other undergraduate, we would like to exhibit more senior theses online (while all theses are available through Harvard University Archives, it would be more convenient to have them online). It is absolutely voluntary, but if you decide to give us your permission, please send an electronic version of your thesis to cindy@math. The format can be in order of preference: DVI, PS, PDF. In the case of submitting a DVI format, make sure to include all EPS figures. You can also submit Latex or MS word source files.

If you are looking for information and advice from students and faculty about writing a senior thesis, look at this document. It was compiled from comments of students and faculty in preparation for, and during, an information session. Let Wes Cain ([email protected]) know if you have any questions not addressed in the document.

Gallery — Thesis

Gallery Items tagged Thesis

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Your thesis or dissertation is often the most important single piece of work you’ll produce as a student (whether it be your final year undergraduate research project or your complete Masters / PhD thesis). These templates, many provided by the university themselves as official layout guidelines, include sections for you to add all the relevant author information (your university, department, supervisor, year, etc) along with placeholder chapters for your introduction, background, method, results, conclusion / discussion, references and appendices.

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The Doctoral Degrees (Ph.D. in Mathematics and Ph.D. in Statistics) in the Department of Mathematics and Statistics are research degrees. Students in the Ph.D. program are to maintain a balance between the depth of the dissertation work and the breadth provided by the course work. The programs prepare students for academic careers balancing teaching and research, or, especially in the case of the statistics Ph.D., research-oriented jobs in government and industry.  

Learning Outcomes

Upon completion of the PhD degree, students in the Mathematics program are expected to be able to:

• Effectively explain, integrate, and apply critical concepts in mathematics
• Clearly communicate mathematical ideas orally and in writing
• Use appropriate technology to successfully make progress on a wide variety of mathematical tasks
• Read, understand, critique, and extend published articles
• Conduct original research in mathematics and write a dissertation of publishable quality

Admission Requirements

Deadlines:  Summer and Fall, Jan 31 recommended for funding. Applicants to the PhD programs in Mathematics and in Statistics are required to have a Master’s degree by the time they start classes at BGSU. If you are currently in a master’s program, please indicate clearly when you expect to finish that degree program in your application under the Academic History tab. When evaluating applications, we examine the student’s ability to start immediately in PhD-level courses offered the next Fall, because the first requirement for PhD students is to take two PhD-level sequences and pass qualifying examinations. This assists in preserving time to conduct dissertation research and finish the degree in a 4-year time frame. In the event that assistantship funding is available, the department can offer two years of support for the Master’s program and four years of support for the PhD program. Additional documents required:

• Three Letters of Recommendation from faculty or professionals who can assess your academic preparation for the program
• Statement of Purpose

International applicants are required to submit scores from the Test of English as a Foreign Language (TOEFL), the International English Language Testing System (IELTS), or the Pearson Test of English Academic (PTEA). Successful completion of ELS 112 will also be accepted for this requirement.  Additionally, Duolingo test scores will be accepted for applications through Summer 2025. Applicants of the Graduate College who have completed a previous degree (associate, bachelor’s master’s or doctorate) from a U.S. college/university or are from a country (click  here  for a complete list) in which instruction was delivered in English (and attended the university for at least two years) are exempt from providing these test scores.

Application Requirements

Admissions Catagories and Grade Point Average Requirements

International Application Information

Degree Requirements

Curriculum requirements, required courses (12 credits).

Select 2 sequences from:

• MATH 6510 - Topology I      and MATH 7520 - Topology II     
• MATH 6610 - Complex Analysis I     and MATH 7620 - Complex Analysis II    
• MATH 7120 - Topics in Applied Mathematics     and MATH 7130 - Seminar in Applied Mathematics    
• MATH 7330 - Group Theory     and MATH 7340 - Rings and Modules    
• MATH 7410 - Advanced Probability Theory I      and MATH 7420 - Advanced Probability Theory II    
• MATH 7650 - Real Analysis III     and MATH 7660 - Real Analysis IV    

Electives (32 credits)

Courses not used in sequence requirement. Select 4 courses from:

• MATH 6510 - Topology I
• MATH 6610 - Complex Analysis I
• MATH 7120 - Topics in Applied Mathematics
• MATH 7130 - Seminar in Applied Mathematics
• MATH 7410 - Advanced Probability Theory I
• MATH 7420 - Advanced Probability Theory II
• MATH 7520 - Topology II
• MATH 7620 - Complex Analysis II
• MATH 7650 - Real Analysis III
• MATH 7660 - Real Analysis IV
• MATH 7330 - Group Theory
• MATH 7340 - Rings and Modules

Additional MATH elective courses. Select 20 credits. 

Other Requirements

A doctoral student needs to pass the Qualifying Examination and the Preliminary Examination.

Culminating Experience (16 credits)

• MATH 7990 - Dissertation Research

Minimum Total Credits (60 credits)

Additional requirements.

• Minimum 3.0 graduate cumulative grade point average
• Maximum of 10 credits of 5000-level coursework may be counted toward degree requirements
• Preliminary Examination or Project
• Minimum of  16 credits of dissertation research (maximum of 30 credits of dissertation research are applicable to degree requirements)
• Dissertation Defense and Publication of Manuscript on OhioLINK
• All requirements must be completed within eight years from the end of the earliest course used to fulfill degree requirements.