Welcome to the Math PhD program at Harvard University and the Graduate School of Arts and Sciences.

Learn more about Harvard’s Math community and our statement on diversity and inclusion.

The GSAS Office of Diversity and Minority Affairs offers student affinity groups for graduate students and many other resources.

The Harvard University Office for Gender Equity has dedicated GSAS Title IX resource coordinators who work with and support graduate students.

open. The application deadline is December 15, 2021. -->

The application deadline for fall 2023 admission has passed.

For information on admissions and financial support, please visit the Harvard Graduate School of Arts and Sciences.

GSAS is committed to ensuring that our application fee does not create a financial obstacle. Applicants can determine eligibility for a fee waiver by completing a series of questions in the Application Fee section of the application. Once these questions have been answered, the application system will provide an immediate response regarding fee waiver eligibility.

## PHD Mathematics

## Program Description

Degree Awarded: PHD Mathematics

## At a Glance: program details

## Degree Requirements

Other Requirements (3 credit hours) MAT 591 Seminar (3)

Electives (24-39 credit hours)

Research (27-42 credit hours) MAT 792 Research

Culminating Experience (12 credit hours) MAT 799 Dissertation (12)

- two qualifying examinations
- a written comprehensive examination
- an oral dissertation prospectus defense

Students should see the department website for examination information.

## Admission Requirements

- graduate admission application and application fee
- official transcripts
- statement of education and career goals
- three letters of recommendation
- proof of English proficiency

## Next Steps to attend ASU

## Program Contact Information

COLLEGE OF LIBERAL ARTS AND SCIENCES

## Department of Mathematics

- Ph.D. in Mathematics
- General Information
- Financial Aid
- Answers to FAQ
- M.S. in Mathematics
- Ph.D. in Mathematics with Thesis in Actuarial Science
- M.S. in Actuarial Science
- M.S. in Applied Financial Mathematics
- M.S. in Applied Financial Mathematics – Actuarial Science
- Course Schedule
- Preliminary Exams

## Overview of Requirements

To graduate with a Ph.D. in Mathematics, a student must satisfy all of the following requirements:

- Course Credits: 45 credits are required (including 15 doctoral dissertation research credits/GRAD 6950) or if you get a master’s degree in mathematics at UConn then 30 credits are required (including 15 doctoral dissertation research credits) beyond the master’s degree.
- Pass three preliminary exams and two core courses (described below). The exams are officially referred to as “the written part of the qualifying exam”.
- Student is expected to choose a thesis advisor no later than the end of the fall semester in their third year.
- Submit Plan of Study prior to the oral (general) exam.
- Pass an oral exam (called general exam). This exam is the “oral part of the qualifying exam”, and is meant to further the student’s education, scholarship and professional development. It should cover material in the broad area in which the student intends to write a dissertation, but should not focus on the actual thesis research. The student is expected to present the material he/she has studied, and to answer questions about that material. The exam is prepared by the student’s advisory committee, and is normally taken at the end of the third year or beginning of the fourth year.
- Write a dissertation under the direction of a member of the Graduate Faculty . The Graduate School has required specifications for the dissertation here . (More generally, this page has useful information.)
- Thesis templates (for LaTex) are available on our Thesis Formatting page.

## Preliminary Examination and Core Course Requirements

- Three prelims from Math 5111 , Math 5120 , Math 5210 and Math 5310 .
- Two core courses from Math 5111 , Math 5120 , Math 5160 , Math 5210 , Math 5211 , Math 5260 , Math 5310 , and Math 5360 .

- Three prelims from Math 5111 , Math 5120 , Math 5310 , Math 5410 and Math 5510 .
- Two core courses from Math 5111 , Math 5120 , Math 5310 , Math 5160 , Math 5410 , Math 5440 , Math 5510 , and Math 5520 .

For core courses, instructors are expected to have a rigorous assessment of students’ performance.

## Time Frame and Progress Requirements

## The Philosophy behind Prelims

## Plan of Study

## General/Oral Exams, Dissertation Proposal and Applying for Graduation

## Mathematics

Prepare for a career as a mathematics research scholar.

## Program of Study

## Credit Requirement

A minimum of 60 graduate credits in mathematics as approved by the advisor.

## Breadth Requirement

- Foundations of Analysis & Real Analysis
- Advanced Linear Algebra & Algebra I
- Topology I & Topology II
- Complex Analysis I & Complex Analysis II
- Introduction to Theory of Statistics & Introduction to Theory of Statistics II

## Successful Completion of the Oral Qualifying Examination

## Completion of a Research Tool

## Full Time Study in Residence

## Continuous Registration of Doctoral Students

## Doctoral Dissertation

## Ancillary Duties

See the Graduate Bulletin for details .

For more information, contact Marco Varisco at [email protected] .

- College mathematics professor
- Research mathematician
- AI and machine learning consultant
- Investment researcher
- Insurance actuary
- Statistician
- Software engineer

## International Students

Departmental Assistantship Consideration

No Departmental Assistantship Consideration

- Fall: August 1
- Summer: May 1
- Transcripts all schools attended
- Three letters of recommendation
- Official GRE test scores*
- Statement of goals

*The GRE will be waived as a requirement for admission through Fall 2023.

Available information for International Applicants .

- Develop a deep understanding of proposed area of dissertation research.
- Complete a doctoral dissertation.
- Gain a solid understanding of three different areas of mathematics and statistics, namely, one-year sequence in each of the three areas chosen from the following fields: algebra, real analysis, complex analysis, topology, mathematical statistics, and probability.

Steps to Filing Your Dissertation (Math & Applied Math)

- Review Graduate Division dissertation filing protocol (beginning of term): Review the guidelines here . Please read through carefully.
- Check Dissertation Committee on CalCentral (by beginning of term): Ensure that all members listed are correct and show as “active”. If you have a committee member outside of the university, double-check that their email address is correct as well, as the final signature eForm will be routed to this email address for their approval. If your committee is not up to date, you can change it at any time by going to CalCentral > My Dashboard > Submit a Form > Higher Degrees Committee eForm > Committee type “Doctoral”.
- Update Expected Graduation Term to current term (by beginning of term): Expected Graduation Term (EGT) must be set to the term in which you plan to graduate in order for you to be added to the campus degree list. Students can update their EGT by going to CalCentral > My Dashboard > Submit a Form > Change of Expected Graduation Term Request.
- Check Academic Progress Report for incomplete milestones (by beginning of term): The Academic Progress Report (APR) shows all milestones required to complete a degree. Check your APR to ensure that only the dissertation filing milestone is incomplete. If any other milestones show as incomplete, please contact your GSAO. You can view your APR at CalCentral > My Academics > Degree Progress > View Academic Progress Report.
- Inform your committee members of your intent to file (by beginning of term): Check in with all of your committee members (not just your advisor!) and make sure they are aware of your planned timeline to completion. Ensure that all members will be available to read and approve your thesis by the filing date.
- Submit Departmental Intent to Graduate Form (by departmental deadline): Advising staff will send this prior to the deadline each semester, generally in February and October for spring and fall respectively, but you are welcome to submit as soon as the semester in which you intend to graduate begins.
- Submit Research Presentation Form to GSAO (at least three weeks prior to filing): Students must give a research presentation, at least 50 minutes in duration, after advancement to candidacy and during a seminar offered by the Math Department; research presentations held at MSRI or LBNL are also acceptable. After your presentation, please download the form template (found below), to be signed by the faculty in whose seminar you presented, and then return it via email to the GSAO once completed.
- Get for any previously published or co-authored material (at least three weeks prior to filing): Please review Graduate Division guidelines on previously published or co-authored material here . Note that this process is governed by Graduate Division, not the department, so all questions should be directed to degrees [at] berkeley [dot] edu .
- Review CalCentral incomplete tasks and complete any outstanding forms or surveys (at least three weeks prior to filing): A list of incomplete tasks can be found on your CalCentral dashboard.
- Submit your final thesis to ProQuest (by the semester filing deadline ): Upload a PDF of your dissertation to ProQuest as outlined in the procedure for filing your dissertation on Graduate Division's website . You must review guidelines for submission carefully! Graduate Division has very specific formatting guidelines. You cannot make edits to your dissertation after it has been accepted.
- Submit the Final Signature eForm (by the semester filing deadline ): The final signature page is now an eForm accessible via CalCentral. If your EGT is correct, the eForm will show as an incomplete task on your dashboard. Inform your committee prior to submitting the form for their approval so that they can look out for the email notification. Make sure to follow up with all committee members before the filing deadline to ensure that everyone has signed. You will also use this form to select an embargo period for your manuscript, if applicable.
- Complete the AMS Survey of Doctoral Recipients: The Survey of Doctoral Recipients is now housed on AMS' website and completed online. We will email the survey to all graduating students.

Departmental Intent to Graduate Form

MATH Dissertation Filing Checklist

LOGIC Dissertation Filing Checklist

Current AMS Survey of Doctoral Recipients

Graduate Division Filing Guidelines

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## Dissertation

Note: Schedules for the next exam period will be posted when available.

## Dissertation Process

The committee then meets to determine the outcome, which can be:

- The dissertation is acceptable as is,
- the dissertation is acceptable subject to requested revisions (in this case, the requested revisions are conveyed to the thesis advisor, a subset of the committee is appointed to check and ultimately sign-off on the revised thesis, and a date is chosen by which revisions should be completed) or
- the dissertation is unacceptable (in this case, the student may write and submit a new thesis).

## Qualifying Exams

Questions about the qualifying exams should be directed to Joel Lewis , the exam coordinator.

In consultation with their advisors, students select exams from the four designated options:

## Exam Syllabi

- Groups, subgroups, normal subgroups, quotient groups, homomorphisms
- Isomorphism theorems, Cayley’s theorem
- Normal and composition series, Jordan-Holder theorem, solvable groups
- Simple groups
- Direct products, structure theorem for finitely generated abelian groups
- Groups acting on sets, class equation, Sylow’s theorems
- Free groups, group presentations
- Elementary properties of rings, ideals, Zorn’s lemma, quotient rings
- Homomorphism and isomorphism theorems, field of fractions of an integral domain, polynomial rings, Noetherian rings, algebras
- Unique factorization domains, principal ideal domains, Euclidean domains, prime ideals
- Larry Grove, Algebra, Dover Publications, 2004.
- Thomas W. Hungerford, Algebra, Graduate Texts in Mathematics Vol. 73, Springer Verlag, 2003.
- Nathan Jacobson, Basic Algebra I and Basic Algebra II, Dover Publications, 2009.

- Continuity, uniform continuity and differentiability of real valued functions of a real variable;
- Completeness of R and compactness of [0, 1];
- Complete, connected and compact metric spaces, including basic topological concepts like open sets, limit points, etc.;
- The continuity and derivatives of functions f : Rn → Rm;
- The implicit and inverse function theorems.

- Lebesgue measure and integration in abstract spaces
- Fatou’s lemma; the dominated and monotone convergence theorems
- Constructing Lebesgue measure on [0, 1] and on Rn
- Functions of bounded variation on [0, 1], their differentiability (Lebesgue almost everywhere), and absolute continuity for real valued functions on [0, 1]
- The Radon-Nikodym and Lebesgue decomposition theorems
- Measures on product spaces, and the Fubini theorem
- Hölder’s inequality. The L p spaces and their properties, including completeness
- Relations between different modes of convergence: uniform, pointwise almost everywhere, L p and in measure

- Applied Mathematics by David Logan
- Partial Differential Equations (Graduate Studies in Mathematics) by Lawrence C. Evans.

1. One-dimensional boundary value problems

- Eigenvalues and eigenfunctions
- Sturm-Liouville theory
- Green’s functions, integral equations, Arzel`a-Ascoli theorem

2. First order equations, characteristics and shock waves

- First order equations, the method of characteristics
- Failure of the characteristic method, weak solutions
- Shock waves

3. Linear elliptic and evolution equation

- Fourier Transforms
- The Heat equation, Schrödinger equation and kernels of linear operators
- Separation of variables
- The Laplace operator on a bounded region
- Green’s functions

- Variational problems, Euler-Lagrange equations
- The classical harmonic oscillator, the pendulum, minimal surfaces
- The Dirichlet boundary condition, the Neumann boundary condition
- Variational problems with constraints
- Topological spaces, basis, subbasis, open sets and closed sets, quotient topology, product topology, continuous maps and homeomorphisms, finite topological spaces.
- Connectedness, path connectedness, compactness, compactness in metric spaces, local compactness, paracompactness.
- Metric topology, equivalent metrics, complete metric spaces.
- Product topology, Tychonoff Theorem, Alexander subbase Theorem.
- Separation axioms and countability axioms, Urysohn lemma, Tietze extension theorem.
- Brouwer fixed-point theorem via Sperner Lemma.
- Fundamental groups, homotopic maps, strong deformation retracts, Fundamental groups for Rn, Sn, graphs, torus and link exteriors.
- Covering spaces, universal covering, classifications of covering spaces.
- The first homology group as the abelianization of a fundamental group.
- A. Hatcher, Algebraic Topology . Cambridge University Press, Cambridge, 2002. xii+544
- J. Munkres, Topology: A First Course , Prentice-Hall.
- O. Ya. Viro, O. Ya. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov, Elementary Topology Problem Textbook , AMS, 2008

## Details and Scheduling

The qualifying exam in each area is

- Analysis: Tuesday, January 10, 10 a.m. – 12 p.m.
- Topology: Tuesday, January 10, 1 – 3 p.m.
- Algebra: Thursday, January 12, 10 a.m. – 12 p.m.
- Applied math: Thursday, January 12, 1 – 3 p.m

## Specialty Exams

- MA in Mathematics
- MS in Applied Mathematics
- Former PhD Students
- Graduate Certificate Programs
- Graduate Admissions
- Graduate Resources & Forms

Phillips Hall 801 22nd St. NW, Room 739 Washington, DC 20052

202-994-6235 202-994-6760 [email protected]

Columbian College of Arts & Sciences

## BYU ScholarsArchive

Home > Physical and Mathematical Sciences > Mathematics Education > Theses and Dissertations

## Mathematics Education Theses and Dissertations

Theses/dissertations from 2022 2022.

Understanding College Students' Use of Written Feedback in Mathematics , Erin Loraine Carroll

Identity Work to Teach Mathematics for Social Justice , Navy B. Dixon

Structural Reasoning with Rational Expressions , Dana Steinhorst

## Theses/Dissertations from 2021 2021

## Theses/Dissertations from 2020 2020

Mathematical Identities of Students with Mathematics Learning Dis/abilities , Emma Lynn Holdaway

Student Use of Mathematical Content Knowledge During Proof Production , Chelsey Lynn Van de Merwe

## Theses/Dissertations from 2019 2019

Making Sense of the Equal Sign in Middle School Mathematics , Chelsea Lynn Dickson

Secondary Preservice Mathematics Teachers' Curricular Reasoning , Kimber Anne Mathis

Aspects of Engaging Problem Contexts From Students' Perspectives , Tamara Kay Stark

## Theses/Dissertations from 2018 2018

Addressing Pre-Service Teachers' Misconceptions About Confidence Intervals , Kiya Lynn Eliason

## Theses/Dissertations from 2017 2017

Curriculum Decisions and Reasoning of Middle School Teachers , Anand Mikel Bernard

## Theses/Dissertations from 2016 2016

Insight into Student Conceptions of Proof , Steven Daniel Lauzon

## Theses/Dissertations from 2015 2015

Teacher Participation and Motivation inProfessional Development , Krystal A. Hill

English Learners' Participation in Mathematical Discourse , Lindsay Marie Merrill

Parents and the Common Core State Standards for Mathematics , Rebecca Anne Roberts

Examining the Effects of College Algebra on Students' Mathematical Dispositions , Kevin Lee Watson

Academic and Peer Status in the Mathematical Life Stories of Students , Carol Ann Wise

## Theses/Dissertations from 2014 2014

The Effect of Students' Mathematical Beliefs on Knowledge Transfer , Kristen Adams

Language Use in Mathematics Textbooks Written in English and Spanish , Kailie Ann Bertoch

Teachers' Curricular Reasoning and MKT in the Context of Algebra and Statistics , Kolby J. Gadd

An Investigation of How Preservice Teachers Design Mathematical Tasks , Elizabeth Karen Zwahlen

## Theses/Dissertations from 2013 2013

Exploring the Mathematical Knowledge for Teaching of Japanese Teachers , Ratu Jared R. T. Bukarau

## Theses/Dissertations from 2012 2012

Manipulatives and the Growth of Mathematical Understanding , Stacie Joyce Gibbons

Mathematics Teacher Time Allocation , Ashley Martin Jones

## Theses/Dissertations from 2011 2011

How Student Positioning Can Lead to Failure in Inquiry-based Classrooms , Kelly Beatrice Campbell

Teachers' Decisions to Use Student Input During Class Discussion , Heather Taylor Toponce

A Conceptual Framework for Student Understanding of Logarithms , Heather Rebecca Ambler Williams

## Theses/Dissertations from 2010 2010

Growth in Students' Conceptions of Mathematical Induction , John David Gruver

## Theses/Dissertations from 2009 2009

A Comparison of Mathematical Discourse in Online and Face-to-Face Environments , Shawn D. Broderick

## Theses/Dissertations from 2008 2008

Student Teacher Knowledge and Its Impact on Task Design , Tenille Cannon

How Eighth-Grade Students Estimate with Fractions , Audrey Linford Hanks

Similar but Different: The Complexities of Students' Mathematical Identities , Diane Skillicorn Hill

Mathematics Student Teaching in Japan: A Multi-Case Study , Allison Turley Shwalb

## Theses/Dissertations from 2007 2007

Probing for Reasons: Presentations, Questions, Phases , Kellyn Nicole Farlow

One Problem, Two Contexts , Danielle L. Gigger

## Theses/Dissertations from 2006 2006

## Theses/Dissertations from 2005 2005

An Examination of the Role of Writing in Mathematics Instruction , Amy Jeppsen

## Theses/Dissertations from 2004 2004

Reasoning About Motion: A Case Study , Tiffini Lynn Glaze

## Theses/Dissertations from 2003 2003

ScholarsArchive ISSN: 2572-4479

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Program Name and Number: Mathematics - PH3101

- Admissions (Note: Students without a master's degree or similar post-baccalaureate experience will not be admitted directly to the doctoral program; instead, they should apply to the master's program doctoral preparation track .)
- Advice from the Graduate Chair
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- Program Mission and Learning Objectives

## Program Overview

## Career Opportunities

Most graduates work in academia, teaching and/or doing research in Mathematics.

## Program Mission

To train students to create, apply, and disseminate mathematical knowledge and understanding.

## Program Learning Objectives

- Graduates will be able to extend the frontier of mathematical knowledge by producing quality research with original results.
- Graduates will be able to apply a range of mathematical tools to problems within mathematics and in other disciplines.
- Graduates will be able to effectively disseminate mathematical knowledge and understanding through publications, seminars, classroom teaching, or other means.

## Department of Mathematics

## Graduate Degree Programs

## Master of Science in Mathematics

## Master of Arts in Mathematics

## Master of Science in Applied Statistics and Data Science

## Certificate in Applied Statistics

## Ph.D. in Mathematics

## How to Apply

## Application Priority Dates

## Application Status

## Degree Requirements

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## Social Media

## Student To Do List

- Familiarize yourself with the various deadlines and required paper work .
- Ensure that you have satisfied the Responsible Conduct of Research (RCR) requirement of 4 forums beyond the entering orientation.
- Your advisor must must email The Graduate School a letter confirming that the thesis is complete and ready to defend ( [email protected] ). This letter must be in the form of PDF attachment (email text is no longer accepted). Contact the DGSA for an easy-to-fill-in template. The letter must be received 30 days before the scheduled defense . Please cc the DGS and DGSA ( [email protected] ).
- Prepare Dissertation utilizing Duke Graduate School Thesis and Dissertations formatting requirements . ( Link to templates including LaTex )
- Confirm your committee with the DGSA at least 30 days prior to the dissertation defense . If your committee has not changed, you must send an email to [email protected] notifying them that your thesis committee remains unchanged. If your committee will change, notify the DGSA at least 30 days before the dissertation defense .
- Select a date for the dissertation defense . It is strongly recommended that you schedule this with your committee at least two months in advance. Zoom defenses and remote participation is allowed but please confirm with DGSA. Inform the DGSA of date, time, and location of defense .
- Submit your dissertation for format checking . Again visit the Graduate School website for the exact deadline dates. The initial submission must take place at least two weeks before your defense and no later than 5:00 p.m. on the deadline date. The Graduate School website says that "Initial submission of the dissertation or thesis means that the document is complete.''
- Copies of the most up-to-date version of the dissertation must be given to all committee members for them to read. This must be done at least two weeks before the defense. Some committee members may request more time, so consult with them early to learn their requirements.
- A public copy of dissertation should be available. Please send DGSA a pdf copy to upload to the Intranet.
- Confirm with your committee that all exam form have been received and filled. All forms are due before the deadline for final submission.
- Complete departure checklist and send in thesis poster materials.
- Submit the final version of your dissertation to the Graduate School. This must be done within 30 days of the final defense or by the submission deadline date . Small changes in the content can (and probably will) be made after submission but all of the pieces must be there.
- Please do all the above steps before leaving campus.
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## Mathematics Education PhD

## Admissions Information

## Application Deadlines

* For details about rolling deadlines , visit our admission deadlines page.

## Supplemental Application Requirements/Comments

- Online Degree Application , including Statement of Purpose and Resume
- Transcripts and/or Course-by-Course Evaluations for all Undergraduate/Graduate Coursework Completed
- Results from an accepted English Proficiency Exam (if applicable)
- $65 Application Fee
- Two (2) Letters of Recommendation

## Additional Degree Information

## Requirements from the TC Catalog

Doctor of Philosophy in Mathematics Education

Program Director : Professor Alexander Karp

Teachers College, Columbia University 323 Thompson

Phone: (212) 678-3381 Fax: (212) 678-8319

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## How to Write a Dissertation in Mathematics: Step-by-step Guide

## What Is a Dissertation in Mathematics? Basic Requirements

- It should follow a standard format for scientific communication and include a title, introduction, results, discussion, conclusions, and bibliography. You need to follow conventions of mathematical writing and citations.
- Your final paper should be correct and logically coherent. You should clearly explain which contributions are your own and which you have taken from other scholarly sources. You also have to report negative results.
- The text of your dissertation should be clear, interesting, and readable. You should write it with your readers in mind and ensure that even non-experts could be able to make sense of what you write.
- Precision is crucial. Every mathematical statement in your dissertation must have a precise mathematical meaning. You must define every term and every symbol and use them according to their definition. You must also justify every mathematical conclusion that you reach in your paper.
- If you write something (ideas, facts, proofs, mathematical results) which you obtained from a published source, you must refer to such a source in the text and list it in your bibliography to avoid plagiarism.

## Choosing a Good Topic for a Dissertation in Mathematics

- Representations of Finite Hecke Algebras for Complex Reflection Groups;
- Homotopy Type Theory: Computing Homotopy Groups of Spheres;
- Geometric Quantisation of Symplectic Manifolds;
- Cohomology of Abelian Varieties;
- Geometric Class Field Theory;
- Application of Theorems of Grushko and Stallings for Classification of Groups up to Quasi-isometry;
- Evolution Equations: Problems Arising in Population Dynamics;
- Low-rank Approximations in Multiple Variables;
- Stochastic Gradient Descent Methods;
- Application of Discrete Mathematical Techniques in Cellular Automation Models in Biology;
- Fluctuation Theory of Levy Processes;
- Random Matrices and Free Probability;
- Intersection Theory of Singular Varieties;
- Linear Programming Methods in Combinatorics;
- Mathematical Modelling in Metal Forming Processes.

## How to Structure Your Dissertation in Mathematics

- Abstract of approximately 300 words summarizes the aims, scope, and the conclusions of a dissertation.
- Introduction introduces a specific research topic, its scope, and significance, gives a review of relevant literature, and briefly outlines the logical structure of your dissertation.
- Body of the paper should be structured into several chapters that contain proofs and details of numerical implementations.
- Conclusion restates the main arguments, tells about the consequences, and provides suggestions for future work.

You may structure the body of the work like this:

## Writing a Dissertation in Mathematics

## How to Cite Sources in Mathematical Writing

e.g. E. Snow [46, Proposition 4.1, p.3] gave a good example of …

## Revising and Polishing Your Dissertation in Mathematics

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## Degree Programs & Requirements

## PhD Requirements

## General Examinations

Current syllabi for the Algebra, Analysis, and Topology General Examinations:

- Syllabus for Algebra General Exam
- Syllabus for Analysis General Exam
- Syllabus for Topology General Exam

Examples of past general exams can be found here .

## Second-Year Proficiency Examination

## Teaching Requirements

## Dissertation and Defense

## Masters Degree Requirements

Information on the The 4+1 BA/MA Program for current UVA undergraduate students

## Graduate program

## Mathematics Doctoral

What is mathematics at wvu like, description.

## Application Deadlines

## At a Glance

## Contact Information

- View in Course Catalog
- College/School: Eberly College of Arts and Sciences
- Department:
- Degree Designation: PhD
- Degree Program:

Interested in this major? Here are some suggested next steps:

## Requirements

What are the requirements to apply for mathematics at wvu, university requirements.

## Program Requirements

Additional considerations for applicants:

International Applicants must also submit the materials outlined here .

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Graduate admissions and recruitment.

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## Georgia Institute of Technology College of Sciences

## Dissertations

## Doctoral Dissertations

## Graduate Programs

## Three Minute Thesis/Dissertation Competition

## About the Event

## Tuesday, February 21, 2023

- Friday, January 27, 2023: Deadline for submissions. View application submission requirements .
- Friday, February 10, 2023: The reviewing committee will select a group of contenders to compete at the final, in-person event.
- Tuesday, February 21, 2023, 5 to 7 p.m.: Final, in-person competition at the Student Union Endeavour Room.
- Participating students must be enrolled in either master's or doctoral programs in Spring 2023.
- A student’s program of study must contain an original research project.
- If the degree program does not formally require a thesis or dissertation, the research topic must be an original research project.
- Students must compete as an individual. No team competition is allowed.
- One-page Research Statement is required (max 400 words). The Research Statement should include the originality of the research, the research question(s), the research methodology, data analysis, findings, and (expected) impact.
- Application closes on January 27, 2023.

## Warning message

- The final contenders must attend a coaching session before the final competition.
- The final competition will allow one single PDF slide. No animations or transitions are allowed.
- No additional electronic media (e.g., sound and video files) are permitted.
- No additional props (e.g., notecards, scripts, pointers, costumes, musical instruments, or laboratory equipment) are permitted.
- Each presentation is limited to 3 minutes maximum talking on stage. Competitors exceeding 3 minutes are disqualified.
- Presentations are to be spoken word (e.g., no poems, raps, or songs).
- Presentations are considered to have commenced when a presenter begins through movement or speech.
- A panel of reviewers will use the rubric (PDF) for evaluation and select participants to compete in the final presentation.
- 1 First Place Winner wins a $400 award. The winner will also compete in Chicago in March 2023 at the MAGS conference. The college will cover the travel expenses (more details are below).
- 2 Second Place Winners win a $300 award each.
- 3 Third Place Winners win a $200 award each.
- 1 People’s Choice Winner wins a $150 award. The audience at the event (in-person) will be able to vote for their People’s Choice winner.
- The decision of the judging panel is final.
- The award will be processed through WrightBuy after the event. The award is subject to income tax.

Notecards and/or scripts are NOT allowed during the presentation.

## 3-Minute Thesis® Competition at the Midwestern Association of Graduate Schools (MAGS) Conference 2023

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Welcome to the Math PhD program at Harvard University and the Graduate School of Arts and Sciences. Learn more about Harvard's Math communityand our statement on diversity and inclusion. The GSAS Office of Diversity and Minority Affairs offers student affinity groups for graduate students and many other resources.

The doctoral program in the Department of Mathematics offers the personalized attention of a small department while also providing a wide range of faculty who offer expertise to support dissertation research. The graduate student environment in the department is collaborative and rigorous, with many opportunities for mentorship, peer interaction and interdisciplinary

The PhD program in mathematics is intended for students with superior mathematical ability. The program emphasizes a solid mathematical foundation and promotes creative scholarship in mathematics and its many related disciplines. The School of Mathematical and Statistical Sciences has very active research groups in analysis, number theory ...

The Ph.D. program is open to students who have a broad mathematical background and who have demonstrated ability and evidence of special aptitude for research in mathematics in their prior work. Students with B.S. or B.A. degrees can apply directly to the Ph.D. program.

To get your doctoral dissertation done in 20 days, you will have to pay around 20 dollars per page. However, if you are a Master's student and need to get your thesis done, the price would be 18 dollars for each page. Just like any other dissertation writing service, you need to fill in the necessary information, pay, and you are good to go.

The doctoral program in mathematics at UAlbany will prepare you for analysis and problem-solving in business or government, or for research and teaching at the university level. Whether you choose to share your knowledge with the next generation of advanced mathematics students or commit to further developing your own theorems, career outcomes ...

Steps to Filing Your Dissertation (Math & Applied Math) Review Graduate Division dissertation filing protocol (beginning of term): Review the guidelines here. Please read through carefully. Check Dissertation Committee on CalCentral (by beginning of term): Ensure that all members listed are correct and show as "active".

The specialty exam is an oral exam in the student's intended research area. It is conducted by a specialty exam committee made up of three faculty members (usually all in the department), including a prospective dissertation advisor. Starting soon after the completion of the qualifying exams, students typically spend the better part of a year ...

Mathematics Education Theses and Dissertations Theses/Dissertations from 2022 PDF Understanding College Students' Use of Written Feedback in Mathematics, Erin Loraine Carroll PDF Identity Work to Teach Mathematics for Social Justice, Navy B. Dixon PDF

The dissertation is a scholarly work demonstrating the ability to understand, organize, improve, and present mathematical ideas of outstanding importance, depth, or interest. It must include original mathematical research and be worthy of publication.

The Ph.D. in Mathematics program prepares students as researchers to enter a wide range of professional roles including academia, industry, and business. The program is offered in Mathematics (Algebra, Geometry, Applied Mathematics, Computational Mathematics, Data Science, Mathematical Biology, Mathematics Education, and Probability) and in ...

Please cc the DGS and DGSA ([email protected]). Prepare Dissertation utilizing Duke Graduate School Thesis and Dissertations formatting requirements. ... [email protected] Mathematics. 120 Science Drive 117 Physics Building Campus Box 90320 Durham, NC 27708-0320 p: 919.660.2800 f: 919.660.2821

Ph.D. dissertations in mathematics education should be (1) experimental studies in learning, (2) analytical studies in policy theory in mathematics education, or (3) other scholarly investigations of problems and issues of broad significance in the field.

How to Structure Your Dissertation in Mathematics. Dissertations in mathematics typically give an extended analysis of a particular topic and report on a research project or study. A dissertation commonly consists of multiple chapters: Abstract of approximately 300 words summarizes the aims, scope, and the conclusions of a dissertation.

The doctoral dissertation (or thesis) is completed under the direction of a thesis advisor, and must be approved by a faculty committee of (at least) four members, one of which is an ''outside member". Additional information about the rules for forming the thesis committee can be found here.

Courses and research amounting to 72 credit hours. Courses must include satisfactory work in two semesters of analysis (MATH 7310, 7340), algebra (MATH 7751, 7752), and topology (MATH 7820, 7800), or the equivalent. Students may take approved courses from other departments. Students entering our program with a masters degree from another ...

The Ph.D. program provides for a common core of fundamental mathematics followed by specialized studies culminating in an original research dissertation directed by a faculty advisor. Depending on the student's program and interests, there are diverse career opportunities available in education, government, and industry. Application Deadlines

Here is the complete list of all doctoral dissertations granted by the School of Math, which dates back to 1965. Included below are also all masters theses produced by our students since 2002. A combined listing of all dissertations and theses, going back to 1934, is available at Georgia Tech's library archive.

Participating students must be enrolled in either master's or doctoral programs in Spring 2023. A student's program of study must contain an original research project. If the degree program does not formally require a thesis or dissertation, the research topic must be an original research project. Students must compete as an individual.

DEPARTMENT OF MATHEMATICS. The graduate faculty in the Department of Mathematics agrees with the principles in the newly adopted Graduate School-New Brunswick's GUIDELINES ON TIME FOR REVIEW AND ASSESSMENT OF QUALIFYING PAPERS, THESES AND DISSERTATIONS": to maintain a culture of mutual respect between students and faculty members and that this include excellent communication among them.