discrete mathematics phd scholarships

Best Discrete Mathematics and Combinatorics Programs

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In discrete mathematics and combinatorics courses,

In discrete mathematics and combinatorics courses, students learn to master the use and combinations of integers, graphs, sets and logic statements. These are the best graduate schools for discrete mathematics and combinatorics. Read the methodology »

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Postdoc - Discrete Mathematics and Logic

Position Title: Postdoc - Discrete Mathematics and Logic Appointment Type: Post Doc/Trainee Job Description: Summary of Duties and Responsibilities: The Department of Mathematics at Iowa State

M/F Thesis in mathematics : Extended discrete polytopal complexes: design and analysis

of Mathematics (DEMA), Probability and Statistics (EPS), and Geometry, Topology, and Algebra (GTA). Discrete polytopal complexes are recent numerical methods, whose purpose is to design approximations of partial

PhD position in Discrete Mathematics

22 Mar 2024 Job Information Organisation/Company Umeå universitet Department Umeå University, Faculty of Science and Technology Research Field Mathematics » Discrete mathematics Researcher Profile

on discrete mathematics and combinatorics. The position covers four years of third-cycle studies, including participation in research and third-cycle courses. The last day to apply is the 30th of April 2024

Research Fellow in Discrete Mathematics

11 Mar 2024 Job Information Organisation/Company Monash University Department School of Mathematics Research Field Mathematics » Discrete mathematics Researcher Profile Recognised Researcher (R2

Assistant Professor of Discrete Mathematics

Job Summary The Department of Mathematical Sciences at Purdue University Fort Wayne invites applications for a tenure track position in Discrete Mathematics to start in the Fall 2024 semester

Mathematics MA   110 Business Management Math I MA   112 Intermediate Algebra MA   114 Algebra and Trigonometry MA   124 Discrete Mathematics MA   128 Introduction to Statistics MA   230 Introduction to MATLAB

Lecturer in Mathematics

Discrete Mathematics . Candidates should also possess: Ideally, at least three (3) years teaching experience at the tertiary level A good record of research publications in the area of Discrete Mathematics

PhD Studentship: Discrete and Continuous Integrable Systems

equation. A wide variety of such structures exists, formulated through, for example, symmetry groups, differential geometry, or spectral theory. Discrete integrable systems are difference equations

Postdoc in Geometry and Topology

22 May 2024 Job Information Organisation/Company Université Paris-Est Créteil Department Val-de-Marne Research Field Mathematics » Geometry Researcher Profile Recognised Researcher (R2) Country

Searches related to discrete mathematics

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Mathematical Sciences

Mellon college of science, ph.d. programs, doctor of philosophy in mathematical sciences.

Students seeking a Ph.D. in Mathematical Sciences are expected to show a broad grasp of mathematics and demonstrate a genuine ability to do mathematical research. The Doctor of Philosophy in Mathematical Sciences is a traditional research degree, and its requirements are representative of all doctoral programs.

After being admitted to graduate status by the Department, a student seeking a Ph.D. must be admitted to candidacy for this degree by fulfilling the appropriate program requirements.

The most important requirement for the Ph.D. degree is timely completion and public defense of an original Ph.D. thesis. The Ph.D. thesis is expected to display depth and originality and be publishable by a refereed journal.

Doctor of Arts in Mathematical Sciences

The Doctor of Arts degree shares all requirements and standards with the Ph.D., except with regard to the thesis. The D.A. thesis is not expected to display the sort of original research required for a Ph.D. thesis, but rather to demonstrate an ability to organize, understand, and present mathematical ideas in a scholarly way, usually with sufficient innovation and worth to produce a publishable work. Whenever practical, the department provides D.A. candidates with the opportunity to use materials developed to teach a course. While a typical Ph.D. recipient will seek a position that has a substantial research component, the D.A. recipient will usually seek a position where research is not central.

Doctor of Philosophy in Algorithms, Combinatorics, and Optimization (ACO)

This program is administered jointly by the Department of Mathematical Sciences, the Department of Computer Science, and the Tepper School of Business. It focuses on discrete mathematics and algorithmic issues arising in computer science and operations research, particularly the mathematical analysis of these issues. The participating units evaluate applicants separately. The requirements for this degree and information on participating faculty are available at the ACO page .

Doctor of Philosophy in Pure and Applied Logic (PAL)

This is an interdisciplinary program with faculty from the Department of Mathematical Sciences, the Department of Philosophy, and the School of Computer Science. The participating units evaluate applicants separately and set their own program requirements. Students who have been admitted to the PAL program, and who complete the requirements for the Ph.D. in Mathematical Sciences with a thesis in the area of logic, can choose to receive either a Ph.D. in Pure and Applied Logic or a Ph.D. in Mathematical Sciences. The choice of which degree to receive is usually based on the intended career path.

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Centre for Discrete Mathematics and its Applications

Dimap phd positions, centre for discrete mathematics and its applications (dimap).

Staff members at the Centre for Discrete Mathematics and its Applications (DIMAP) at the University of Warwick, UK, postgraduate scholarships for PhD students (starting in September/October 2011 --> seek academically strong and highly motivated applicants who would like to pursue PhD studies in the general areas of Discrete Mathematics , Theoretical Computer Science , and Mathematics of Operational Research .

DIMAP has been recently established by the University of Warwick and is partially funded by the prestigious Engineering and Physical Sciences Research Council ( EPSRC ) Science and Innovation Award . The Centre builds on the expertise and the collaboration between the Algorithms and Computational Complexity group in the Department of Computer Science , the Warwick Mathematics Institute , and the Operational Research & Management Sciences group in the Warwick Business School .

DIMAP is a multidisciplinary research centre supporting an internationally competitive programme of research in discrete modelling, algorithmic analysis, and combinatorial (discrete) optimisation. It aims to support a thriving Industrial Affiliates Programme, and develop collaborative research rooted in discrete mathematics, involving researchers at other UK universities. The Centre also contributes to the development of undergraduate modules and taught postgraduate modules within degrees offered by the participating departments. With a number of internationally renowned researchers , an extensive programme of scientific seminars , international workshops and visiting researchers, and a multidisciplinary angle, DIMAP is one of the leading international research centres in discrete mathematics and its applications in computer science and operational research .

Doctoral Study at DIMAP

As one of the leading international research centres in discrete mathematics and its applications in computer science and operational research , DIMAP is offering excellent opportunities for high quality PhD study in discrete mathematics and its applications, and further areas related to the Centre. DIMAP offers high quality supervising at the interface of Theoretical Computer Science, Discrete Mathematics, and Mathematics of Operational Research. Our aim is to provide our students with an insight into the problems and challenges in each of those fields, thereby gaining the skills to bridge the gap that exists between the individual disciplines.

The main research areas of DIMAP are discrete mathematics, theoretical computer science, algorithms, algorithmic graph theory, combinatorics, algorithmic game theory, combinatorial optimisation, and mathematics of operational research. The activities of DIMAP are centred around its permanent staff with more details of research topics available on our web page . The Centre will also contribute to the development of undergraduate modules and taught postgraduate modules within degrees offered by the participating departments.

DIMAP aims at recruiting qualified and highly motivated students for PhD scholarships. Applicants should have a degree in Computer Science, Mathematics, or Operational Research, with excellent grades and references. Interest in interdisciplinary research is a bonus.

The Centre has had initial funding for about a dozen PhD scholarships, and will aim to develop a doctoral training programme supporting a continuing stream of research students in discrete mathematics and related areas. Available scholarships are for 3 years of PhD study.

( Update: no DIMAP PhD scholarships are available any more; still, many of DIMAP members are interested in supervision of highly motivated PhD students) DIMAP offers students grants of various types, covering tuition and/or stipends. Tuition covers expenses for teaching and supervision, and each student is equipped with office space, a computer, and a small travel budget to attend conferences. The fellowships are very competitive.

Students fees for applicants from outside UK/EU: typically only UK/EU fees are covered, though this may be waived for (really) outstanding applicants. Furthermore, there is a wide range of funding available to students from outside the EU who wish to study in Britain. Further details are available from the International Office .

There is a wide range of funding available to students from outside the EU who wish to study in Britain. Further details are available from the International Office .

How to apply

Applications are invited for the PhD scholarships in the Centre for Discrete Mathematics and its Applications (DIMAP) at the University of Warwick, United Kingdom.

Right now we have some new PhD positions available via Warwick Computer Science Doctoral Training Centre . Deadline for the applications is March 31, 2019 ; the fellowships are very competitive.

Before sending the application, we strongly encourage the candidates to contact DIMAP member via email.

For general information about studying at the University of Warwick, see the University of Warwick Postgraduate Study web page .

For information about the research interests of DIMAP researchers, please visit the web pages with description of research topics of DIMAP Members and the web pages of DIMAP staff members .

Mathematics Education PhD

Doctor of philosophy.

The Doctor of Philosophy (Ph.D.) degree emphasizes research competencies. The degree requires a scholarly dissertation of intellectual merit and sound research methodology. Dissertation research may include analytical studies of the process of teaching or experimental studies of the teaching-learning process, including studies of verbal learning and laboratory practice or historical studies.

Admissions Information

Displaying requirements for the Spring 2024, Summer 2024, and Fall 2024 terms.

• Points/Credits: 75
• Entry Terms: Spring, Summer, Fall

Application Deadlines

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

Select programs remain open beyond our standard application deadlines , such as those with an extended deadline or those that are rolling (open until June or July). If your program is rolling or has an extended deadline indicated above, applications are reviewed as they are received and on a space-available basis. We recommend you complete your application as soon as possible as these programs can close earlier if full capacity has been met.

Application Requirements

Requirements from the tc catalog (ay 2023-2024).

Displaying catalog information for the Fall 2023, Spring 2024 and Summer 2024 terms.

View Full Catalog Listing

Doctoral Degrees

All candidates for the Ed.D., Ed.D.C.T., or Ph.D. degrees are expected to demonstrate both mathematics and mathematics education competencies through a series of certification examinations taken upon the completion of 60 graduate points. Certification examinations test the student’s knowledge of current research and theory in mathematics education and mathematics content. Examinations are offered once in the fall, spring, and summer terms. Courses recommended as preparation for the examinations in mathematics education include MSTM 6037,  MSTM 4019, and other mathematics education courses; Courses recommended as preparation for the examinations in mathematics are 6000- level mathematics content courses.

Students must demonstrate acceptable proficiency in at least three of the following six mathematics content areas: algebra, analysis, discrete mathematics, foundations of mathematics, geometry and topology, and probability and statistics. Students may sit for the examination in mathematics content during the regular certification examination times. Alternatively, they may register for advanced content courses and, with permission of the program, sit for the content area certification examination upon completion of the course. Incoming doctoral candidates should register for MSTM 6037 Professional Seminar in Mathematics during the first year of doctoral studies.

Doctoral students whose dissertations require statistical analysis should include appropriate statistics courses in their programs. These points can be included either in the mathematics/mathematics education requirement or can be taken as research electives.

Doctor of Philosophy in Mathematics Education

The Doctor of Philosophy (Ph.D.) degree emphasizes research competencies. The degree program requires a scholarly dissertation of intellectual merit and sound research methodology. Dissertation research may include analytical studies of the process of teaching or experimental studies of the teaching-learning process, including studies of verbal learning and laboratory practice or historical studies.

Candidates are encouraged to develop an association with a faculty member early in their studies to identify a problem area of mutual interest to plan a course of studies that leads to the competencies needed to complete dissertation research and prepare for a professional role. Further details are available in the brochures on doctoral studies and in the general descriptions of doctoral programs available from the Office of Doctoral Studies (ODS).

A program of study for the Doctor of Philosophy degree must include at least 45 points taken under Teachers College registration. In order to permit the acquisition of broad and basic scholarship, each program of study should include at least 60 points in mathematics, mathematics education, statistics, and computing. At least 35 points should be in advanced courses – including research courses (MSTM 6500 or 6501 and MSTM 7500). (Any Teachers College course at the 6000 level or above, any Columbia University Graduate School of Arts and Sciences course with a “G” prefix, any “W” course numbered above 4000, or any transferred course with a graduate-level prerequisite will be considered an advanced course.) Further, 15 points in the philosophical, psychological, and curricular foundations of education must be included in every Ph.D. degree program. Students whose dissertations require statistical analysis should include appropriate statistics courses in their programs. These points can be included either in the mathematics/mathematics education requirement or can be taken as research electives.

Candidates for the Ph.D. degree are required to demonstrate competency in two languages chosen from among French, German, and Russian. Students who require other languages for the preparation of their dissertation may petition the program to request one substitution. Students in mathematics may not use computer languages or statistics to satisfy the language requirement.

The Ph.D. dissertation is a scholarly study contributing new theoretical knowledge to the field and should be planned early in the program when sufficient advanced courses have been completed to permit the candidate to enroll in relevant research courses. 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.

The website of the Program offers a list of Topic study groups which doctoral students are recommended to join.

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Program Director : Professor Alexander Karp

Teachers College, Columbia University 323 Thompson

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

Email: tcmath@tc.edu

Mathematics, PHD

On this page:, at a glance: program details.

• Location: Tempe campus
• Second Language Requirement: No

Program Description

Degree Awarded: PHD Mathematics

The PhD program in mathematics is intended for students with exceptional mathematical ability. The program emphasizes a solid mathematical foundation and promotes innovative scholarship in mathematics and its many related disciplines.

The School of Mathematical and Statistical Sciences has very active research groups in analysis, number theory, geometry and discrete mathematics.

Degree Requirements

84 credit hours, a written comprehensive exam, a prospectus and a dissertation

Required Core (3 credit hours) MAT 501 Geometry and Topology of Manifolds I (3) or MAT 516 Graph Theory I (3) or MAT 543 Abstract Algebra I (3) or MAT 570 Real Analysis I (3)

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)

Additional Curriculum Information Electives are to be chosen from math or related area courses approved by the student's supervisory committee.

Students must pass:

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

Students should see the department website for examination information.

Each student must write a dissertation and defend it orally in front of five dissertation committee members.

Admission Requirements

Applicants must fulfill the requirements of both the Graduate College and The College of Liberal Arts and Sciences.

Applicants are eligible to apply to the program if they have earned a bachelor's or master's degree in mathematics or a closely related area from a regionally accredited institution.

Applicants must have a minimum cumulative GPA of 3.00 (scale is 4.00 = "A") in the last 60 hours of their first bachelor's degree program or a minimum cumulative GPA of 3.00 (scale is 4.00 = "A") in an applicable master's degree program.

All applicants must submit:

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

Additional Application Information An applicant whose native language is not English must provide proof of English proficiency regardless of their current residency.

Additional eligibility requirements include competitiveness in an applicant pool as evidenced by coursework in linear algebra (equivalent to ASU course MAT 342 or MAT 343) and advanced calculus (equivalent to ASU course MAT 371), and it is desirable that applicants have scientific programming skills.

Next Steps to attend ASU

Learn about our programs, apply to a program, visit our campus, application deadlines, learning outcomes.

• Address an original research question in mathematics.
• Able to complete original research in theoretical mathematics.
• Apply advanced mathematical skills in coursework and research.

Career Opportunities

Graduates of the doctoral program in mathematics possess sophisticated mathematical skills required for careers in many different sectors, including education, industry and government. Potential career opportunities include:

• faculty-track academic
• finance and investment analyst
• mathematician
• mathematics professor, instructor or researcher
• operations research analyst
• statistician

Program Contact Information

If you have questions related to admission, please click here to request information and an admission specialist will reach out to you directly. For questions regarding faculty or courses, please use the contact information below.

• [email protected]
• 480/965-3951

• Student intranet /
• Staff intranet

Department of Mathematics

Funding for postgraduate research

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

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

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

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

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

UK PhD students

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

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

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

Doctoral loans

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

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

EPSRC Doctoral Training Partnership (DTP) in Mathematical Sciences

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

How to apply

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

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

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

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

Student support

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

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

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

EU PhD students

View the latest information for prospective students from the EU .

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

Heilbronn Doctoral Partnership (HDP)

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

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

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

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

International PhD students

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

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

Faculty of Science and Engineering funding

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

President's Doctoral Scholar (PDS) Award

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

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

For further information, please visit the  PDS website .

Dean's Doctoral Scholarship

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

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

Postgraduate Research Teaching Associate (PGRTA) Scholarship

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

For further information, please visit the  PGRTA page.

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

Alternative sources of funding

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

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

Funded projects in mathematical modelling

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

Research projects

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

Explore our projects

Faculty funding

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

President's Doctoral Scholar Award

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

Ph.D. Degree Programs

The UCSD Mathematics Department admits students into the following Ph.D. programs:

• Ph.D. in Mathematics -- Pure or Applied Mathematics.
• Ph.D. in Mathematics with a  Specialization in Computational Science .
• Ph.D. in Mathematics with a  Specialization in Statistics .

In addition, the department participates in the following Ph.D. programs:

• Ph.D. in  Bioinformatics .
• Ph.D. in  Mathematics and Science Education  (joint program between UCSD and SDSU).

For application information, go to  How to Apply (Graduate) .  

Ph.D. in Mathematics

The Ph.D. in Mathematics allows study in pure mathematics, applied mathematics and statistics. The mathematics department has over 60 faculty, approximately 100 Ph.D. students, and approximately 35 Masters students. A list of the UCSD mathematics faculty and their research interests can be found at  here . The Ph.D. in Mathematics program produces graduates with a preparation in teaching and a broad knowledge of mathematics. Our students go on to careers as university professors, as well as careers in industry or government.

In the first and second years of study, Ph.D. students take courses in preparation for three written qualifying examinations (quals). One qual must be taken in Algebra or Topology, and another in Real or Complex Analysis. A third qual may be taken in Numerical Analysis or Statistics or one of the remaining topics in the first two groups. All three quals must be passed by the start of the third year. After the qualifying exams are passed, the student is expected to choose an advisor and follow a course of study agreed on by the two of them. At this point, the student chooses a thesis topic, finds a doctoral committee and presents a talk on his or her proposed research topic. If the committee is satisfied with this talk, the student has "Advanced to Candidacy." The student will then pursue their research agenda with their advisor until they have solved an original problem. The student will submit a written dissertation and reconvene his or her committee for a Final Defense. At the Final Defense, the student gives a seminar talk that is very similar to a talk that he or she might give for a job interview.

Nearly every admitted Ph.D. student gets financial support. The financial support is most commonly in the form of a Teaching Assistantship, however, Research Assistantships and other fellowships are also available.

Because of the large faculty to student ratio, graduate students have many opportunities to interact with faculty in courses or smaller research seminars. The graduate students also run their own "Food for Thought" seminar for expository talks as well as a research seminar where they give talks about their research.

UCSD has excellent library facilities with strong collections in mathematics, science, and engineering. Ph.D. students are provided with access to computer facilities and office space.

Full-time students are required to register for a minimum of twelve (12) units every quarter, eight (8) of which must be graduate-level mathematics courses taken for a letter grade only. The remaining four (4) units can be approved upper-division or graduate-level courses in mathematics-related subjects (MATH 500 may not be used to satisfy any part of this requirement). After advancing to candidacy, Ph.D. candidates may take all course work on a Satisfactory/Unsatisfactory basis. Typically, students should not enroll in MATH 299 (Reading and Research) until they have passed at least two Qualifying Examinations at the PhD or Provisional PhD level, or obtained approval of their faculty advisor.  

Written Qualifying Examinations

Effective Fall Quarter 1998, the department made changes in their qualifying exam requirements with a view to:

• improving applied mathematics' access to students and the attractiveness of its program to applicants; and
• broadening the education of our doctoral students and leading more of them towards applied areas.

The department now offers written qualifying examinations in  SEVEN (7)  subjects. These are grouped into three areas as follows:  

• Three qualifying examinations must be passed. At least one must be passed at the Ph.D. level and a second must be passed at either the Ph.D. or Provisional Ph.D. level.
• Of the three qualifying exams, there must be at least one from each of Areas 1 and 2. 
• Students must pass at least two exams from distinct areas with a minimum grade of Provisional Ph.D. (For example, a Ph.D. pass in Real Analysis, Provisional Ph.D. pass in Complex Analysis, M.A. pass in Algebra would  NOT  satisfy this requirement, but a Ph.D. pass in Real Analysis, M.A. pass in Complex Analysis, Provisional Ph.D. pass in Algebra would, as would a Ph.D. pass in Numerical Analysis, Provisional Ph.D. pass in Applied Algebra, and M.A. pass in Real Analysis.) All exams must be passed by the September exam session prior to the beginning of the third year of graduate studies. (Thus, there is no limit on the number of attempts, encouraging new students to take exams when they arrive, without penalty.) Except for this deadline, there is no limit on the number of exams a student may attempt.

After qualifying exams are given, the faculty meet to discuss the results of the exams with the Qualifying Exam and Appeals Committee (QEAC). Exam grades are reported at one of four levels:  

Department policy stipulates that at least one of the exams must be completed with a Provisional Ph.D. pass or better by September following the end of the first year. Anyone unable to complete this schedule will be terminated from the doctoral program and transferred to one of our Master's programs. Any grievances about exams or other matters can be brought before the Qualifying Exam and Appeals Committee for consideration.

Exams are typically offered twice a year, one scheduled late in the Spring Quarter and again in early September (prior to the start of Fall Quarter). Copies of past exams are available on the  Math Graduate Student Handbook .

In choosing a program with an eye to future employment, students should seek the assistance of a faculty advisor and take a broad selection of courses including applied mathematics, such as those in Area 3.  

Master's Transferring to Ph.D.

Any student who wishes to transfer from masters to the Ph.D. program will submit their full admissions file as Ph.D. applicants by the regular closing date for all Ph.D. applicants (end of the fall quarter/beginning of winter quarter). It is the student's responsibility to submit their files in a timely fashion, no later than the closing date for Ph.D. applications at the end of the fall quarter of their second year of masters study, or earlier. The candidate is required to add any relevant materials to their original masters admissions file, such as most recent transcript showing performance in our graduate program. Letters of support from potential faculty advisors are encouraged. The admissions committee will either recommend the candidate for admission to the Ph.D. program, or decline admission. In the event of a positive recommendation, the Qualifying Exam Committee checks the qualifying exam results of candidates to determine whether they meet the appropriate Ph.D. program requirements, at the latest by the fall of the year in which the application is received. For students in the second year of the master's program, it is required that the student has secured a Ph.D. advisor before admission is finalized. An admitted student is supported in the same way as continuing Ph.D. students at the same level of advancement are supported. Transferring from the Master's program may require renewal of an I-20 for international students, and such students should make their financial plans accordingly. To be eligible for TA support, non-native English speakers must pass the English exam administered by the department in conjunction with the Teaching + Learning Commons.  

Foreign Language Requirement

There is no Foreign Language requirement for the Ph.D. in Mathematics.  

Advancement to Candidacy

It is expected that by the end of the third year (9 quarters), students should have a field of research chosen and a faculty member willing to direct and guide them. A student will advance to candidacy after successfully passing the oral qualifying examination, which deals primarily with the area of research proposed but may include the project itself. This examination is conducted by the student's appointed doctoral committee. Based on their recommendation, a student advances to candidacy and is awarded the C. Phil. degree.  

Dissertation and Final Defense

Submission of a written dissertation and a final examination in which the thesis is publicly defended are the last steps before the Ph.D. degree is awarded. When the dissertation is substantially completed, copies must be provided to all committee members at least four weeks in advance of the proposed defense date. Two weeks before the scheduled final defense, a copy of the dissertation must be made available in the Department for public inspection.  

Time Limits

The normative time for the Ph.D. in mathematics is five (5) years. Students must be advanced to candidacy by the end of eleven (11) quarters. Total university support cannot exceed six (6) years. Total registered time at UCSD cannot exceed seven (7) years.  

It may be useful to describe what the majority of students who have successfully completed their Ph.D. and obtained an academic job have done. In the past some students have waited until the last time limit before completing their qualifying exams, finding an advisor or advancing to candidacy. We strongly discourage this, because experience suggests that such students often do not complete the program. Although these are formal time limits, the general expectation is that students pass two qualifying exams, one at the Ph.D. level and one at the masters level by the beginning of their second year. (About half of our students accomplish this.) In the second year, a student begins taking reading courses so that they become familiar with the process of doing research and familiarize themselves with a number of faculty who may serve as their advisor. In surveying our students, on average, a student takes 4 to 5 reading courses before finding an advisor. Optimally, a student advances to candidacy sometime in their third year. This allows for the fourth and fifth year to concentrate on research and produce a thesis. In contrast to coursework, research is an unpredictable endeavor, so it is in the interest of the student to have as much time as possible to produce a thesis.

A student is also a teaching assistant in a variety of courses to strengthen their resume when they apply for a teaching job. Students who excel in their TA duties and who have advanced to candidacy are selected to teach a course of their own as an Associate Instructor. Because there are a limited number of openings to become an Associate Instructor, we highly recommend that you do an outstanding job of TAing in a large variety of courses and advance to candidacy as soon as possible to optimize your chances of getting an Associate Instructorship.

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Application form.

The German research chair, Dr. Jan Hązła at AIMS Rwanda, in collaboration with Prof. Nicola Kistler at Goethe University in Frankfurt, Germany, is offering PhD fellowships at AIMS Rwanda research center in Kigali. These fellowships are made available and funded by the DAAD to promote international academics exchange as well as educational co-operation with developing countries through a variety of funding and scholarship programs.

We are looking for excellent candidates with strong interest in research in Discrete Mathematics and Discrete Probability with applied motivations. The research topics will be mathematical, motivated by various applications like error-correction in data transmission, voting procedures, network processes and understanding machine learning algorithms.

Among others, we are seeking for candidates with a strong interest in one of the following areas:

• Theoretical computer science and related areas.
• Coding theory.
• Combinatorics.
• Social choice theory and opinion formation.
• Theory of spin glasses.

Application Eligibility

• A Master’s degree in mathematical sciences (two-year degree is strongly preferred).
• Strong interest in one of the areas indicated above.
• Any experience in the areas indicated above is a plus.
• Good coding skills (eg., Python, Matlab/Mathematica and similar) are a plus.
• Academic excellence.
• Good communication skills in English.
• Preferably a national of an African country.

Female candidates and candidates from less privileged regions or groups are especially encouraged to apply.

Application Instructions

Please send completed applications by email to [email protected] with subject line containing “DAAD PhD application”. Applicants should submit the documents in a single PDF file . The applications not according to those instructions risk rejection without reading.

The applicants are encouraged to make an application to participate in a discrete mathematics workshop in Kigali on 4-9 July 2022 (see the separate call).

Application Documents

• Letter of motivation.
• Curriculum Vitae.
• Copies of university degrees (including transcripts; students and alumni of AIMS and/or AMMI are advised to include the transcripts with all their grades).
• Copy of passport or national ID.
• Two reference letters. Please indicate the names and email addresses of the referees in the application. They will be contacted to submit their confidential references by May 15, 2022. The application is not complete without the references.

The letter of motivation should shortly (1 page maximum) and concretely state the candidate’s interests and motivations. A detailed research plan is not required

Fellowship Holders

Successful fellows are expected to conduct research in the thematic areas indicated in the section “Scientific interests”. They are expected to publish their results in peer-reviewed journals and conferences, and to be actively engaged in the research activities of the German Research Chair, as well as contribute to the implementation of the cooperation between the Chair and Goethe University in Frankfurt. Fellows are also expected to have some involvement in the AIMS Rwanda academic programs. Fellows will be affiliated with AIMS Rwanda, but they will be encouraged to conduct scientific visits in Germany.

Application Deadline

The deadline for the applications is May 15, 2022 . Applications might be processed early, but not earlier than April 15, 2022.

For questions, please email [email protected] . Please see https://jhazla.github.io for more details and updates.

• The Ph.D. positions are tenable for 3 years, contingent on satisfactory progress, and could be extended for one more year.
• Monthly scholarships are 1.325 EUR (during stays in Rwanda) and 1.200 EUR (during research stays in Germany).
• Tuition fees are covered.
• Travel costs (if applicable) are covered.
• Health insurance costs are covered.
• Additional benefits are made available for mobility when commencing and finishing the scholarship in Rwanda and for research stay at the Goethe University during the course of the doctoral project. 
• The positions are expected to start as soon as practicable, aiming for late 2022.

DISCLAIMER: AIMS Rwanda and Goethe University reserve the right to disqualify ineligible, incomplete and/or inappropriate applications. AIMS also reserves the right not to make an appointment to the position as advertised or to extend the deadline for applications. Only successful applicants will be contacted.

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​Every member of the Discrete Mathematics group is actively engaged in research; for more specific information concerning the research activities of any particular member, please visit that individual's home page. Approaches to conduct suitable collaborative work are welcome. All members of the group are interested in working with and advising graduate students of suitable standard. Should you be considering working with any of the members, you are encouraged to approach the member to discuss the matter as soon as is practicable. For those students who are US citizens and interested in employment with a government agency, the National Security Agency is about one hour's drive away from campus and is one of the world's largest employers of discrete mathematicians. 

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Graduate Program

Our graduate program is unique from the other top mathematics institutions in the U.S. in that it emphasizes, from the start, independent research. Each year, we have extremely motivated and talented students among our new Ph.D. candidates who, we are proud to say, will become the next generation of leading researchers in their fields. While we urge independent work and research, there exists a real sense of camaraderie among our graduate students. As a result, the atmosphere created is one of excitement and stimulation as well as of mentoring and support. Furthermore, there exists a strong scholarly relationship between the Math Department and the Institute for Advanced Study, located just a short distance from campus, where students can make contact with members there as well as attend the IAS seminar series.  Our program has minimal requirements and maximal research and educational opportunities. We offer a broad variety of advanced research topics courses as well as more introductory level courses in algebra, analysis, and geometry, which help first-year students strengthen their mathematical background and get involved with faculty through basic course work. In addition to the courses, there are several informal seminars specifically geared toward graduate students: (1) Colloquium Lunch Talk, where experts who have been invited to present at the Department Colloquium give introductory talks, which allows graduate students to understand the afternoon colloquium more easily; (2) Graduate Student Seminar (GSS), which is organized and presented by graduate students for graduate students, creating a vibrant mathematical interaction among them; and, (3) What’s Happening in Fine Hall (WHIFH) seminar where faculty give talks in their own research areas specifically geared towards graduate students. Working or reading seminars in various research fields are also organized by graduate students each semester. First-year students are set on the fast track of research by choosing two advanced topics of research, beyond having a strong knowledge of three more general subjects: algebra, and real and complex analysis, as part of the required General Examination. It is the hope that one, or both, of the advanced topics will lead to the further discovery of a thesis problem. Students are expected to write a thesis in four years but will be provided an additional year to complete their work if deemed necessary. Most of our Ph.D.'s are successfully launched into academic positions at premier mathematical institutions as well as in industry .

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28 March, 2023 | President Droupadi Murmu confers Padma Bhushan, India’s third-highest civilian award, to our Chancellor Dr. Kumar Mangalam Birla at the Rashtrapati Bhavan.

BITS Law School, Mumbai Campus

9 March, 2023 | Mumbai

26 January, 2023 | Pilani

74th Republic Day Celebrations at BITS Pilani K K ...

26 January, 2023 | K K Birla Goa

Floral Tribute to Shri G D Birlaji on 71st Founder...

National startup investor day celebrated by bits p....

18 January, 2023 | K K Birla Goa

National Symposium on Convergence of Chemistry �...

3 January, 2023 | Hyderabad

2 Day National Workshop on Challenges in Welding a...

Chancellor’s medal winners 2022.

2 January, 2023 | Dubai

International conference on ‘Aggregation-Induced...

24 December, 2022 | K K Birla Goa

BPDC Wins The BEST ENGINEERING UNIVERSITY – ...

19 December, 2022 | Dubai

Heartiest congratulation to sumit for receiving th...

16 December, 2022 | Pilani

BPDC’s Wall Street Club Secures the Top Posi...

16 December, 2022 | Dubai

Utilizing microbiome science to improve host healt...

26 November, 2022 | Pilani

AUTO Ltd. SCHOLARSHIP Announcement

24 November, 2022 | Pilani

FDP on Sustainability in Civil Engineering begins ...

21 November, 2022 | Pilani

Programmable DNA nanodevices to instruct biologica...

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SPARKS 2022

31 October, 2022 | Dubai

Identifying risk predictors for Cardiovascular Dis...

31 October, 2022 | Pilani

GANDHI JAYANTI

28 October, 2022 | Dubai

Studying the mechanisms underlying anti-inflammati...

26 October, 2022 | Pilani

Chemistry department has organized DST-STUTI works...

15 October, 2022 | Pilani

Innate immune recognition of bacterial toxins

14 October, 2022 | Pilani

Cell Counting As A Part Of The Animal Cell Technol...

27 September, 2022 | Pilani

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Memorandum of Understanding (MoU)

30 August, 2022 | Pilani

ICON-BITS-2023

25 August, 2022 | Pilani

22 August, 2022 | Pilani

Convocation 2022, Pilani Campus

Independence day celebration- 2022.

15 August, 2022 | Pilani

Drosophila eye model to study patterning and dise...

2 May, 2022 | Pilani

Informatics-Driven Advances in Biological Sciences

2 March, 2022 | Pilani

Lung cancer and Lung cancer screening

8 February, 2022 | Pilani

Sleep modulation by glial transporters in Drosophi...

23 October, 2021 | Pilani

Applications of Synthetic Biology in Metabolic Eng...

Engineering analysis of living systems.

15 June, 2021 | Pilani

Genesis issue

24 April, 2021 | Pilani

The joys and sorrows of any life in science

6 March, 2021 | Pilani

Deeper exploration of cellular heterogeneity with ...

22 February, 2021 | Pilani

Biomolecular interactions measurement using Thermo...

12 February, 2021 | Pilani

A Demo on ‘FPLC’

29 January, 2021 | Pilani

Indian Workshop on Applied Deep Learning (IWADL201...

15 December, 2019 | Pilani

One day Workshop on Blockchain Technology and Appl...

10 November, 2019 | Pilani

International conference on Intelligent Human Comp...

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Department of Physics, BITS Pilani has successfull...

5 November, 2015 | Pilani

“International Conference on Soft Materials&...

6 October, 2014 | Pilani

Indo-Chile Workshop on Big Data 2014 (ICWBD)

4 June, 2014 | Pilani

The Department of Physics, BITS Pilani, Pilani Cam...

23 March, 2014 | Pilani

Department of Physics, BITS Pilani organized a wor...

7 March, 2014 | Pilani

“Proton acceleration by circularly polarized...

8 July, 2013 | Pilani

Dr. Tapomoy Guha Sarkar taught a course on General...

1 July, 2013 | Pilani

“Thermal studies on materials: A case study...

20 June, 2013 | Pilani

Dr. Tapomoy Guha Sarkar visited the Department of ...

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Dr. Navin Singh has delivered an invited lecture o...

30 March, 2013 | Pilani

Dr. Anshuman Dalvi has delivered an invited lectu...

Research paper titled “conformational and or....

25 March, 2013 | Pilani

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“Program on CP Violation in elementary parti...

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Dr. Jayendra N Bandyopadhyay has delivered Colloqu...

Dr. jayendra n bandyopadhyay has delivered prestig....

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K K Birla Goa, Hyderabad, Pilani

The main objective of the doctoral program is to create scholarly responsibility among researchers and provide them with an intellectually stimulating environment for focused research. The study phase of the research includes a solid foundation in advanced mathematics with a particular sequence of courses designed to enhance the professional ability of the candidates.

Research Areas

The department offers a full time Ph.D. programme in the following thrust areas of its research.

• Linear Algebra
• Numerical Analysis
• Graph Theory
• Control Theory
• Operator Theory
• Complex Analysis
• Topology & Geometry
• Functional Analysis
• Fracture Mechanics
• Harmonic & Wavelet Analysis
• Number Theory & Cryptography
• Financial Mathematics
• Theoretical and Computational Differential Equations
• Mathematical Modelling
• Discrete Mathematics
• M. Sc. In Mathematics or equivalent degree with 60% aggregate. Shortlisted candidates will have to appear for a written test and/or interview. Candidate having NET/GATE/M. Phil/JRF will be exempted from the written test
• M.Sc. or equivalent: ₹ 28,000 per month. After qualifying, the coursework through examinations, the scholarship will increase to ₹ 31,000 per month.
• M.Phil./M. Tech./JRF: ₹ 31,000 per month.
• The higher fellowship may be made available in subsequent years subject to the institute norms and performance of the candidates.

To learn more about the Ph.D admissions process at BITS Pilani, please visit the website https://www.bitsadmission.com

Associate Professor

Numerical Methods

Amiya Kumar Pani

Visiting Professor

Combinatorial Design & Testing

Numerical Analysis, Optimal Control Theory

Anirudh Singh Rana

Assistant Professor, Department of Mathematics, BITS Pilani, Pilani Campus

Fluid dynamics, Finite Volume methods, Non-equilibrium Thermodynamics, Micro/Nanofludics, Gas dynamics, Continuum Mechanics, Transport Phenomenon

Anupama Sharma

Assistant Professor, Gr-I

Dynamical Systems, Mathematical Biology, Mathematical modelling, Complex systems

Anushaya Mohapatra

Dynamical Systems, Mathematical Biology

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THE KNOWLEDGE INSTITUTE

Developing Eswatini's Future Leaders

Email: [email protected]

• Apr 4, 2022

PHD SCHOLARSHIP IN DISCRETE MATHEMATICS

DEADLINE: 15 May 2022

The German research chair, Dr. Jan Hązła at AIMS Rwanda, in collaboration with Prof. Nicola Kistler at Goethe University in Frankfurt, Germany, is offering PhD fellowships at AIMS Rwanda research centre in Kigali. These fellowships are made available and funded by the DAAD to promote international academic exchange as well as educational cooperation with developing countries through a variety of funding and scholarship programs.

This scholarship is looking for excellent candidates with strong interest in research in Discrete Mathematics and Discrete Probability with applied motivations. The research topics will be mathematical, motivated by various applications like error-correction in data transmission, voting procedures, network processes and understanding machine learning algorithms.

Among others, we are seeking for candidates with a strong interest in one of the following areas:

Theoretical computer science and related areas.

Coding theory.

Combinatorics.

Social choice theory and opinion formation.

Theory of spin glasses.

AIMS RWANDA

Established in 2016 with the support of the government of Rwanda, AIMS Rwanda is the fifth Centre of Excellence to be created under the AIMS Global Network (AIMS Next Einstein Initiative). Since its inception, AIMS Rwanda has graduated over 200 students, 37% of whom are women. The Research Center at AIMS Rwanda focuses on fields like climate modelling, plant-interactions, human disease modelling, computational immunology, quantum physics/science, applied mathematics, and Bayesian methodology. Research team members are postdoctoral fellows, visiting researchers, MSc, PhD students and interns.

ELIGIBILITY

A Master’s degree in mathematical sciences (two-year degree is strongly preferred).

Strong interest in one of the areas indicated above.

Any experience in the areas indicated above is a plus.

Good coding skills (eg., Python, Matlab/Mathematica and similar) are a plus.

Academic excellence.

Good communication skills in English.

Preferably a national of an African country.

Female candidates and candidates from less privileged regions or groups are especially encouraged to apply.

Application Instructions

Please send completed applications by email to [email protected] with the subject line containing “DAAD PhD application”. Applicants should submit the documents in a single PDF file. The applications not according to those instructions risk rejection without reading.

The applicants are encouraged to make an application to participate in a discrete mathematics workshop in Kigali on 4-9 July 2022 (see the separate call).

Application Documents

Letter of motivation.

Curriculum Vitae.

Copies of university degrees (including transcripts; students and alumni of AIMS and/or AMMI are advised to include the transcripts with all their grades).

Copy of passport or national ID.

Two reference letters. Please indicate the names and email addresses of the referees in the application. They will be contacted to submit their confidential references by May 15, 2022. The application is not complete without the references.

The letter of motivation should shortly (1 page maximum) and concretely state the candidate’s interests and motivations. A detailed research plan is not required

Scholarship Requirements

Successful fellows are expected to conduct research in the thematic areas indicated in the section “Scientific interests”. They are expected to publish their results in peer-reviewed journals and conferences, and to be actively engaged in the research activities of the German Research Chair, as well as contribute to the implementation of the cooperation between the Chair and Goethe University in Frankfurt. Fellows are also expected to have some involvement in the AIMS Rwanda academic programs. Fellows will be affiliated with AIMS Rwanda, but they will be encouraged to conduct scientific visits in Germany.

Application Deadline

The deadline for the applications is May 15, 2022. Applications might be processed early, but not earlier than April 15, 2022. For questions, please email [email protected] . Please see https://jhazla.github.io for more details and updates.

Scholarship Benefits

The Ph.D. positions are tenable for 3 years, contingent on satisfactory progress, and could be extended for one more year.

Monthly scholarships are 1.325 EUR (during stays in Rwanda) and 1.200 EUR (during research stays in Germany).

Tuition fees are covered.

Travel costs (if applicable) are covered.

Health insurance costs are covered.

Additional benefits are made available for mobility when commencing and finishing the scholarship in Rwanda and for research stay at the Goethe University during the course of the doctoral project.

The positions are expected to start as soon as practicable, aiming for late 2022.

APPLY: https://aims.ac.rw/application/call-for-applications-3/

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POSTGRADUATE SCHOLARSHIPS AT THE UNIVERSITY OF PRETORIA

Deadline: 30 June 2024 The Mastercard Foundation Scholars Program at the University of Pretoria (UP) for full-time postgraduate study is open to African students who are first-year master's students w

UNDERGRAD SCHOLARSHIPS LIST AS AT 21 MAY 2024

ALX TECH PROGRAMS - MASTERCARD FOUNDATION FUNDED - DEADLINE: 28 MAY 2024 Link: https://www.tkieswatini.org/post/alx-tech-programs-mastercard-foundation-funded 2024 / 2025 SCHOLARSHIPS BY THE REPUBLIC

2024 / 2025 SCHOLARSHIPS BY THE REPUBLIC OF SERBIA

DEADLINE: 29 MAY 2024 The Ministry of Labour and Social Security announces that under the bilateral relations between the Kingdom of Eswatini, with the Republic of Serbia scholarships have been offere

Mathematics (MSc, PhD)

Part of the Faculty of Science

Program Overview

Format : Full-time

Degree Earned : Master of Science or PhD

This program welcomes motivated students seeking to acquire mathematical skills to advance their academic or industry career goals. MSc students produce high-quality work in the form of a thesis or major research paper, and learn how to write technical and scientific reports and communicate complex results to a general audience. Grounded in applied research, the new, tight-knit PhD program combines various mathematical modelling aspects of biomathematics, discrete mathematics and financial mathematics to prepare highly skilled research scientists for careers in academia and industry.

Both the master's and doctoral degree's are grounded in three main research groups:

• Financial mathematics
• Biomathematics and fluids
• Discrete mathematics and networks

At a Glance

Admissions information.

Applied Mathematics MSc

• Completion of a four-year undergraduate (or equivalent) degree of science in mathematics or related fields involving adequate mathematical course work from an accredited institution
• Minimum GPA or equivalent of 3.00/4.33 (B) in the last 2 years of study (3.33/4.33 GPA (B+) strongly recommended)
• Statement of interest
• Transcripts
• Two letters of recommendation
• English language proficiency requirement

Mathematical Modelling and Methods PhD

• Completion of a master’s degree from an accredited institution in mathematics or related field
• Minimum grade point average (GPA) or equivalent of 3.33/4.33 (B+)
• Three letters of recommendation

More information on  admission requirements . Due to the competitive nature of our programs, it is not possible to offer admission to everyone who applies that meets the minimum entrance requirements for the program. 

Program-specific requirements

Check Application Deadline

Students are encouraged to submit applications prior to the first consideration date to increase their chances of securing financial support for their graduate studies. Applications received after the first consideration date will be accepted and reviewed based on spaces remaining in the program.

See application dates .

Financing Your Studies

For detailed graduate tuition and fees information please visit  Fees by Program .

For information on scholarships, awards and financing your graduate studies visit  Financing Your Studies.

Research Areas

• Biomathematics
• Biostatistics
• Complex Networks
• Computer Security
• Cryptography
• Data Mining
• Differential Equations and Operator Theory
• Financial Mathematics
• Fluid Mechanics
• Foundations of Statistical Mechanics
• Graph Theory
• Machine Learning
• Software Testing

Mathematics (MSc, PhD) graduate program calendar

Sample Courses

• Advanced Numerical Analysis
• Analysis and Probability
• Applied Statistical Methods
• Discrete Mathematics and its Applications
• Partial Differential Equations
• Principles and Techniques in Applied Mathematics

Graduate Admissions

Admissions information and how to apply

Graduate Studies Admissions Office 11th Floor, 1 Dundas Street West Toronto, ON Telephone: 416-979-5150 Email:  [email protected]

For information specific to programs, please see the program contact information below.

Program Contacts

Dr. Konstantinos Georgiou Graduate Program Director BA, MSc, PhD Research areas: convex & combinatorial optimization, approximation algorithms, distributed algorithms, game theory Telephone: 416-979-5000 ext. 557400 Email: [email protected]

Teresa Lee Graduate Program Administrator Telephone: 416-979-5000 ext. 554867 Email: [email protected]

Student Profiles

Shengzhong Chen, MSc student

From the financial mathematics research group, Chen is a recipient of the prestigious  NSERC CGS-M , and is also a holder of the Geoff Boyes award.

Erin Meger, PhD student and MSc alumna

From the discrete mathematics and networks research group, Meger is recipient of the Ontario Graduate Scholarship and YSGPS Graduate Student Leadership Award

Find curriculum, course descriptions and important dates for Mathematics (MSc, PhD).

Once you’ve made an informed choice about which program(s) you are going to apply to, preparing your application requires careful research and planning.

At Toronto Metropolitan University, we understand that pursuing graduate studies is a significant financial investment. Funding comes from a combination of employment contracts (as a teaching assistant), scholarships, awards and stipends. There are a number of additional funding sources – internal and external – available to graduate students that can increase these funding levels.

As an urban innovation university, Toronto Metropolitan University offers 60+ cutting-edge, career-oriented graduate programs, as well as 125+ research centres, institutes and labs, in a wide range of disciplines. Our close connections with industry, government and community partners provide opportunities to apply your knowledge to real-world challenges and make a difference.

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Professional Development Scholarship Emphasizing History, Number Theory, or Discrete Mathematics

Offered by National Council of Teachers of Mathematics

Multiple awards worth up to

Grade level.

Graduate Students

Expected deadline: This scholarship might not currently be accepting applications. Most scholarship programs only accept applications a few months ahead of their annual deadline. We’ve estimated this deadline based on last year’s deadline in order to help you plan out your scholarship applications.

Scholarship overview.

Are you currently a math teacher of grades 6-12 and interested in a grant opportunity? If so, the Professional Development Scholarship Emphasizing History, Number Theory, or Discrete Mathematics may be a great opportunity for you! The grant is open to grade 6 – 12 mathematics teachers who have taught for at least three years and plan to continue teaching.

It is offered by the National Council of Teachers of Mathematics (NCTM) and funded by The Father Stanley J. Bezuszka and Margaret J. (Peg) Kenney Fund. Margaret J. (Peg) Kenney formerly served on the NCTM Board of Directors, was a renowned math educator, and received many awards for her contributions. Stanley J. Bezuszka also made many contributions, giving over 1,000 presentations, workshops, and minicourses on the subject of mathematics education. 

Each year, they award up to $3,000 to help chosen recipients fund the completion of credited coursework, design and implement a personal study plan, create and field-test appropriate classroom activities, and prepare and deliver a professional development presentation to colleagues. If you are a teacher looking for a grant opportunity to continue teaching, we encourage you to apply!

About National Council of Teachers of Mathematics

NCTM (National Council of Teachers of Mathematics) is one of the world's largest mathematics education organizations and advocates for high-quality mathematics teaching and learning.

Eligibility information

This scholarship is open to students meeting the below eligibility criteria.

Math, Education

Applicants must (1) be mathematics teachers of grades 6-12, (2) have taught for at least three years and plan to continue teaching, and (3) be current Essential or Premium members of NCTM.

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Application information.

To apply for this scholarship, students must complete a proposal for their planned project and a project budget, in addition to submitting an online application and the below application materials.

Final Report

Letter of Recommendation

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MTHE5324 - Concepts and Techniques in Discrete Mathematics

MTHE 5324 Concepts and Techniques in Discrete Mathematics (3 semester credit hours) Selected concepts in discrete mathematics. Solving non-routine problems and adapting them for classroom use and incorporating topics from discrete mathematics into existing high school courses. Topics include number theory, combinatorics, probability, and applications of matrices. Appropriate technology will be used. May not be used to fulfill degree requirements for mathematical sciences majors except those in the Master of Arts in Teaching (MAT) program. Recommended Prerequisite: A junior-level mathematics course. (3-0) T

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Undergraduate Study

MSci Computer Science and Mathematics - 2024 entry

• Undergraduate home
• Courses - 2024 entry
• Computer Science
• Computer Science and Mathematics MSci
• An interdisciplinary degree combining traditional mathematical techniques with exciting contemporary applications in the field of computer science
• Develop practical skills in the specification, design and implementation of computer systems, as well as an understanding of the theory behind them
• The 4-year MSci Computer Science and Mathematics programme provides the opportunity to study more advanced material and obtain a higher level qualification
• Benefit from excellent facilities spanning a wide range of machine types and software ecosystems
• Our world-class teaching is informed by active, up-to-the-minute research of international standing in developing fields including machine learning, artificial intelligence, and nature-inspired computation
• We maintain excellent teaching links with computer-related industry partners such as IBM, The Met Office, NATS and Motorola

View 2025 Entry

Request a prospectus

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How to apply

Web: Enquire online

Phone: +44 (0)1392 72 72 72

Top 20 for Computer Science

20th in The Times and The Sunday Times Good University Guide 2024

Excellent facilities spanning a wide range of machine types and software ecosystems

Partner to the Alan Turing Institute

Top 20 in the UK for graduate prospects

16th for graduate prospects for Computer Science in the Complete University Guide 2024 (94%)

Entry requirements (typical offer)

NB General Studies is not included in any offer.

Grades advertised on each programme webpage are the typical level at which our offers are made and provide information on any specific subjects an applicant will need to have studied in order to be considered for a place on the programme. However, if we receive a large number of applications for the programme we may not be able to make an offer to all those who are predicted to achieve/have achieved grades which are in line with our typical offer. For more information on how applications are assessed and when decisions are released, please see: After you apply

International Foundation programmes

Preparation for entry to Year 1 of an undergraduate degree:

• Foundation programme for Engineering, Mathematics, Computer Science and Physical Sciences .

Course content

The modules we outline here provide examples of what you can expect to learn on this degree course based on recent academic teaching. The precise modules available to you in future years may vary depending on staff availability and research interests, new topics of study, timetabling and student demand.

This year gives you a solid foundation in computer science and mathematics. It includes an introduction to procedural and object-oriented programming, system architectures, computing for the web, professional issues of computing, and explores some of the boundaries of scientific knowledge in the field. Modules on vectors and matrices, and probability and discrete mathematics provide the mathematical underpinning of later modules in computer science and artificial intelligence.

Compulsory modules

Optional modules.

Your group project in year two introduces key aspects of software engineering to you in a practical way, while a choice of optional modules allows you to tailor your degree towards your preferences in Mathematics and/or Computer Science. Up to 30 credits of elective (free choice) modules can be taken from any discipline in the University subject to approval, pre-requisites, timetabling and availability.

In the third year, students on the Computer Science and Mathematics programme carry out an extensive computing research project, whilst those studying Mathematics and Computer Science will take at least 50 per cent of their final year credits in Mathematics. Up to 30 credits of elective (free choice) modules can be taken from any discipline in the University subject to approval, pre-requisites, timetabling and availability.

The 4-year MSci Computer Science and Mathematics programme provides the opportunity to study more advanced material and obtain a higher level qualification. The final year includes a substantial project involving elements of both Computer Science and Mathematics, as well as a range of advanced optional modules in the two subjects. Graduates of these programmes are able to tackle a wide range of problems, making them highly employable. Up to 30 credits of elective (free choice) modules can be taken from any discipline in the University subject to approval, pre-requisites, timetabling and availability.

Tuition fees for 2024 entry

UK students: £9,250 per year International students: £27,000 per year

* Please note that the fees for students starting in 2023 have yet to be set. The fees provided above are the fees for students starting in 2022 and are for guidance only. We will post the fees for 2023 entry shortly.

Scholarships

The University of Exeter has many different scholarships available to support your education, including £5 million in scholarships for international students, such as our Global Excellence Scholarships *. Financial support is also available for students from disadvantaged backgrounds, lower income households and other under-represented groups to help them access, succeed and progress through higher education.

* Terms and conditions apply. See online for details .

Find out more about tuition fees and scholarships

Learning and teaching

Lectures, seminars and workshops.

All our degrees involve a combination of teaching methods, including lectures, seminars, workshops and tutorials. Most modules in mathematics involve three one-hour lectures per week, so you would typically have 12 lectures per week. In the first year there are tutorial classes for each module every week and example classes every fortnight, except for modules involving computing or project work. Thus in the first year you would typically have around 16 contact hours per week.

In addition to this, you are expected to spend about 20 hours per week in private study. The tutorials and exercise classes enable you to discuss the lecture material and coursework problems. Further support is available at lunchtime mathematics surgeries run by postgraduate students.  You are encouraged to discuss any mathematical problems or questions that may arise with the lecturer. All lecturers have advertised office hours when they are available to provide help. Working through examples and solving problems is a vital part of learning mathematics so coursework is set in each module.

Virtual learning environment

We’re actively engaged in introducing new methods of learning and teaching, including increasing use of interactive computer-based approaches to learning through our virtual learning environment, where the details of all modules are stored in an easily navigable website. You can access detailed information about modules and learning outcomes and interact through activities such as the discussion forums.

A research and practice led culture

We believe every student benefits from being taught by experts active in research and practice. You will discuss the very latest ideas, research discoveries and new technologies in seminars and in the field and you will become actively involved in a research project yourself. All our academic staff are active in internationally-recognised scientific research across a wide range of topics. You will also be taught by leading industry practitioners.

Assessment for all degrees is through a combination of examinations and coursework. Examinations are the more important part of the process, but the assessed coursework will help you to work steadily throughout your degree. This is particularly important in Mathematics where the subject matter develops logically from fairly simple beginnings. Written examinations for mathematics modules are held in January and May/June of the first and second years and in May/June of each subsequent year. Most modules also have either a mid-term test or coursework contributing to the assessment.

Coursework typically contributes 20% to the assessment of all modules. In the third year several modules allow you to undertake further coursework to contribute to your overall degree classification.

Optional modules outside of this course

Each year, if you have optional modules available, you can take up to 30 credits in a subject outside of your course. This can increase your employability and widen your intellectual horizons.

Proficiency in a second subject

If you complete 60 credits of modules in one of the subjects below, you may have the words 'with proficiency in [e.g. Social Data Science]' added to your degree title when you graduate.

• A Foreign Language
• Data Science
• Entrepreneurship
• Social Data Science

Find out more about proficiency options

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Your future

Exeter has an excellent reputation with graduate recruiters and a strong employment record. Our graduates excel in specialist computer science fields and across a broad range of other sectors.

We offer a very wide range of opportunities for you to develop the skills employers are looking for, including industrial placements and study abroad. Visit our   Careers and Employability webpages   to find out more.

Mathematics has long influenced the development of computer science, and the rapid growth of computing power has led to the development of techniques and algorithms which have in turn influenced the mathematics community, making this joint degree a natural combination. In addition graduates from the programme are well prepared for careers requiring either or both of the disciplines.

There has never been a greater need for experts in computing. From the complex IT systems used in modern businesses to sophisticated online gaming experiences, computers are a familiar characteristic of the modern world. This makes for a fascinating range of careers that require the technical expertise of a computer scientist (someone who understands the science behind computer technology).

As an Exeter Computing graduate you may find yourself working with business IT systems, the web, mobile communications or games technology, or in the management and development of the safety-critical systems that control aeroplanes, trains and nuclear power stations.

During your time with us you’ll develop your problem-solving skills, your technical competence and your ability to analyse and reflect on issues relating to computer technology. These are essential skills whether you wish to work for a leading computing company developing new technologies, enter the world of business and finance, or if you would like to use your degree in a different role where you can use your abilities to analyse and solve problems.

Career Paths

The broad-based skills acquired during your degree will give you an excellent grounding for a wide variety of careers, not only those related to Computer Science but also in wider fields.  Examples of roles recent graduates are now working as include:

• Academic research
• Business Analysts, Architects or Systems Designer
• Cyber Security Professional
• Financial Accounts Manager
• IT Network Professional
• IT Quality and Testing Professional
• Software Developer

Industrial Experience

As part of the four-year degree, you can choose to take an optional Commercial and Industrial Experience module during the vacation before the third year (subject to availability). This very rewarding opportunity allows you to gain paid work experience while earning credits towards your degree programme. Following the placement you can report on your experience which, alongside a report from the employer, enables you to count your experience as a third-year optional module. We have excellent links with employers and can provide assistance in finding suitable employment.

Related courses

Computer science bsc.

Streatham Campus

Computer Science and Mathematics BSc

Computer science msci, data science bsc, data science msci, mathematics and data science bsc, mathematics bsc, physics bsc.

View all Computer Science courses

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Computer Science & Engineering

2024-2025 CSE Graduate Course Offerings

Updated May 30th, 2024

COURSES AND INSTRUCTORS SUBJECT TO CHANGE! These are TENTATIVE offerings for the 2024-2025 academic year.

• Be sure to read  CSE Graduate Courses  home page for quarter-by-quarter updates.