ucsd math phd admission

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Computational Science, Mathematics and Engineering (CSME)

The Graduate Program in Computational Science, Mathematics and Engineering (CSME) at UCSD is a campus-wide interdisciplinary M.S. and Ph.D. program designed to train the next generation of scientists, mathematicians, and engineers in the use of modern tools of computational science.

This stand-alone M.S. program is appropriate for scientists and engineers who would like some specialized training in computational science at the level of a Master’s degree but who are not interested in pursuing a doctoral degree.

The CSME Ph.D. Program at UCSD is a campus-wide interdisciplinary training program designed to train the next generation of scientists, mathematicians, and engineers in the use of modern tools of computational science, and is integrated into the existing doctoral programs of a number of core participating departments.

The CSME M.S. and Ph.D. Programs have distinct administrative structures, and therefore have separate application and admission procedures.

Admissions and Applications

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Before You Apply

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Everything You Need to Know About the Application Process

Discover the Numerous Opportunities for Financial Support

Department Metrics

Interested in knowing all the important data about a specific department before applying? The department metrics dashboard lets you learn about all the information about a department like admissions, enrollment, initial placement, and financial support.

Common Questions and Answers about Graduate School Applications

QUESTION :  Which application components are more important than others?

ANSWER : Faculty members have varied opinions on the value of each application item. The wise approach is to do as excellently as you can on everything so that over time you generate the most impressive set of academic accomplishments that you are capable of.

QUESTION :  My friend told me I should submit as many letters of recommendation as possible with my application. Should I try to obtain more than the required 3 letters?

ANSWER : Faculty members on admissions committees may have hundreds of applications to read. Submitting more than the requested quantity of applications might actually be frowned on. What is important is not having more than the required quantity of letters, but rather what the authors of your letters say about you.

QUESTION :  What constitutes an outstanding letter of recommendation?

ANSWER : If you are applying to an academic graduate degree program, your letters of recommendation should mostly (or all) be from faculty members. Those professors should be able to speak at length and in detail from personal knowledge about your character, your past performances in coursework and/or your research accomplishments (or at least your estimated potential to do excellently at research), and anything else convincing about your capabilities and interest in the subject. A letter of recommendation that merely says, “[student name] earned an A in my [course name] taken in [term]” is of no value because it only reveals what is already contained in your transcript.

QUESTION :  What can I do to help me get great letters of recommendation?

ANSWER : When you ask a faculty member to write an excellent letter of recommendation for you, you are asking the member to put his/her reputation at risk. Additionally, for a faculty member to write a detailed letter, s/he has to have had time and opportunity to get to know you. It is not up to the professor to make that happen; it is your responsibility to present yourself to him/her.

When taking a class, your in-class conduct should be impressive. Habitually be punctual, do not leave class early, sit near the front, put all personal electronic equipment away (unless usage is required by the professor), be attentive, ask thoughtful questions as time permits, and be honest. Show that you have put thought into what you ask. If you have a question about homework, be able to demonstrate that you have first made ample responsible effort to solve the problem. Explain what you did and where you are stuck. If you work for a professor on research, show that you are responsible and a person of your word. Be thorough in your work. Stay in contact with the professor and professionally respond to all communication. Make good use of office hours.

If you are in close contact with a faculty member for only a short period of time (such as a quarter or two), stay in touch afterwards. Drop by once or twice per quarter to say hello and let the professor see how you are doing academically and otherwise. You should be reading mathematics journals and be able to discuss interesting topics in mathematics. Your performance in classwork should show that you have exceptional talent in learning the subject and using what you learn.

The UC San Diego  Dine with a Professor  and  Coffee with a Professor  programs are freely available to all undergraduate students. Check with your college student affairs office for details. These are excellent ways to get to know faculty members (and graduate student teaching assistants) on campus but outside of classroom or office settings.

QUESTION :  How should I prepare for the GRE General Test and GRE Mathematics subject test?

ANSWER : General Record Examination tests are offered by Educational Testing Service (ETS). At the  ETS website , you can read about the content and format of tests, rules of testing, dates and locations of upcoming tests, test application procedures and fees, how to have test scores sent to schools, and expiration of scores. Being fully versed in advance about test instructions will save valuable time during testing; you will still be able to read the instructions when you take the test, but at least the information will not be new to you.

For some tests, a reservation may be needed or recommended. Allow yourself months to study for any GRE test. A pattern of spending quality time daily using intelligent, proven study techniques is recommended. (There are many third-party study materials available to help in preparing for GRE tests.) These are not tests that can be properly prepared for by “cramming” over a few weekends.

QUESTION :  Is there any guidance on what to say (and not say) in a personal statement?

ANSWER : The personal statement should be a narrative that speaks directly to the admission committee members, giving them a clear understanding of why you want to attend their program, what you think makes you an outstanding applicant, and how earning the desired graduate degree in their department will help you attain your career goals.

Do not exceed the statement’s length limit (if one is given). If specific questions are provided, respond to them. Avoid rambling, space fillers, and mentioning things that are irrelevant to the statement’s purpose (see above) or are overly personal. Faculty members who review applications are savvy. They know when an applicant is trying to dupe them and when a personal statement is light on substance. There is also no need to lecture readers on how great mathematics is. (Faculty members reviewing your application already love the subject. That is why they chose to spend their lives researching it!) If something in your record (such as a few bad grades or withdrawal from school for a time) can be explained honestly in a sentence or two, you may wish to do so, but beware of sounding as if you are making excuses for irresponsibility or getting unnecessarily detailed on personal matters. Be truthful, but do not use the statement to try to explain everything that has gone wrong in your life.

Do not go too far back in your life to relate experiences. If you showed a liking for numbers as a toddler, that is nice, but it does not in itself make you a more worthy candidate than someone whose interest surfaced in adolescence. What have you done throughout your undergraduate school years that shows great potential for you as a graduate student in mathematics? What research project in undergraduate mathematics have you contributed to and what specifically did you do? In what ways have you gone far beyond the minimum requirements of your coursework in order to learn and accomplish more? Have you pursued relationships with faculty members that demonstrates a desire to learn from them and become an advanced student? Have you demonstrated independence in studying beyond minimum course requirements? What inspires and excites you about mathematics? How dedicated are you? How willing are you to persevere in studying/researching at the graduate level? These are examples of things that you may want to mention.

A personal statement takes much time to prepare. Start working on it well in advance of the application deadline. Long before you submit it with your application, have it reviewed by people who will offer honest impressions. Some (if not all) of those people should be faculty members, and it would help if at least one is a person who does not know you but is well versed in the subject.

Finally, one faculty member offers this advice: There are personal things that may be appropriate to say in a graduate school application’s financial aid statement(s), but should not be mentioned in the personal statement because they are too personal and not directly related to the applicant’s mathematical capabilities.

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All student course programs must be approved by a faculty advisor prior to registering for classes each quarter, as well as any changes throughout the quarter.  (This program is offered only under the Comprehensive Examination Plan.)

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).

The degree may be terminal or obtained on the way to the Ph.D. Out of the total forty-eight (48) units of required credit, two applied mathematics sequences comprising twenty-four (24) units must be chosen from the following list (not every course is offered each year):

• MATH 202A-B-C (Applied Algebra)
• MATH 210A-B-C (Mathematical Methods in Physics & Engineering)
• MATH 261A-B-C (Combinatorial Algorithms)
• MATH 264A-B-C (Combinatorics)
• MATH 270A-B-C (Numerical Mathematics)
• MATH 271A-B-C (Numerical Optimization)
• MATH 272A-B-C (Numerical Partial Differential Equations)
• MATH 273A-B-C (Scientific Computation)

In certain cases, a petition may be approved to substitute one of these requirements from the following list of sequences:

• MATH 220A-B-C (Complex Analysis)
• MATH 230A-B-C (Ordinary Differential Equations)
• MATH 240A-B-C (Real Analysis)
• MATH 280A-B-C (Probability Theory)
• MATH 281A-B-C (Mathematical Statistics)
• MATH 282A-B (Applied Statistics)

In choosing course work to fulfill the remaining twenty-four (24) units, the following restrictions must be followed:

• At least eight (8) units must be approved graduate courses in mathematics or other departments (a one-year sequence in a related area outside the department such as computer science, engineering, physics or economics is strongly recommended).
• A maximum of eight (8) units can be approved upper-division courses in mathematics.
• A maximum of eight (8) units can be approved upper-division courses in other departments.
• A maximum of four (4) units of MATH 500 (Apprentice Teaching).
• NO UNITS  of MATH 295 (Special Topics) or MATH 299 (Reading and Research) may be used.

Comprehensive Examinations

Two written comprehensive examinations must be passed at the master's level in any of the required applied math sequences listed above. The instructors of each course should be contacted for exam details.

Every Applied Math master’s student must do the following:

• Attempt at least one comprehensive or qualifying examination (as suitable for the major) no later than by the end of the student’s first year
• Pass at least one comprehensive or qualifying examination by the start of the student’s second year at the master’s pass level or higher

Anyone unable to comply with this schedule will be terminated from the master’s program.

Foreign Language Requirement

There is no foreign language requirement for the M.A. in Applied Mathematics.

Time Limits

Full-time M.A. students are permitted seven (7) quarters in which to complete all requirements. While there are no written time limits for part-time students, the Department has the right to intervene and set individual deadlines if it becomes necessary.

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.

9500 Gilman Drive, La Jolla, CA 92093-0112

(858) 534-3590

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UC San Diego Graduate Application Management

At the University of California San Diego, diversity is a core component of excellence that further enhances our quality and achievement. We seek a diverse graduate student body to ensure that all of our students gain the educational benefits that result from being exposed to a broad spectrum of ideas and perspectives. These include the variety of personal experiences, values, and worldviews that arise from differences of culture and circumstance. Such differences include race, ethnicity, gender, age, religion, language, abilities/disabilities, sexual orientation, socioeconomic status, geographic region and more. We wish to broaden and deepen both the educational experience and the scholarly environment, as students and faculty learn to interact effectively with each other, preparing them to participate in an increasingly complex and pluralistic society. We also want all of our students to contribute to the campus community in a manner that enhances campus diversity and inclusiveness, consistent with the  University of California Principles of Community .

Applications for Fall 2025 will begin opening on September 4, 2024 no earlier than 12 pm PST.

Application opening dates and deadlines vary by department. Please visit the website for your department of interest to verify their application's opening and closing dates.

If your program of interest is not listed on the application, please contact the  department  to confirm availability.

If you experience technical issues with the application, please contact  [email protected]  with a description of the problem.  

Ph.D. in Mathematics with Specialization in Statistics

Program requirements for the specialization in statistics, advancement to candidacy, dissertation and final defense.

All student course programs must be approved by a faculty advisor prior to registering for classes each quarter, as well as any changes throughout the quarter.  (This program is offered only under the Comprehensive Examination Plan.)

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).

The degree may be terminal or obtained on the way to the Ph.D. A total of forty-eight (48) units of credit are required. No units of MATH 299 (Reading and Research) may count towards this total. No more than four (4) units of any combination of MATH 295 (Special Topics) and/or MATH 500 (Apprentice Teaching) may be used.

Twenty-four (24) of the forty-eight (48) units must be graduate-level mathematics courses approved in consultation with a faculty advisor. The remaining twenty-four (24) units may contain no more than eight (8) units of upper-division mathematics courses and no more than twelve (12) units of graduate courses in a related field outside the department (approved by the Department of Mathematics).

Comprehensive Examinations

Seven (7) written departmental examinations are offered, grouped in three areas. A student must pass two examinations, one from Area 1 and one from Area 2, both with a Master's Pass or better.

Every Pure Math master’s student must do the following:

• Attempt at least one qualifying examination (as suitable for the major) no later than by the end of the student’s first year
• Pass at least one qualifying examination by the start of the student’s second year at the master’s pass level or higher

Anyone unable to comply with this schedule will be terminated from the master’s program.

Foreign Language Requirement

There is no Foreign Language requirement for the M.A. in Pure Mathematics.

Time Limits

Full-time M.A. students are permitted seven (7) quarters in which to complete all degree requirements. While there are no written time limits for part-time students, the Department has the right to intervene and set individual deadlines if it becomes necessary.

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.

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Mathematics and Science Education

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https://sci.sdsu.edu/crmse/msed/home.html

All courses, faculty listings, and curricular and degree requirements described herein are subject to change or deletion without notice.

The Joint Doctoral Program

UC San Diego and San Diego State University (SDSU) have created this innovative program for students who already have a master’s degree in biology, chemistry, mathematics, or physics. In this program, students will complement their discipline knowledge with studies of how people learn mathematics and science. The UC San Diego Joint Doctoral Group in Mathematics and Science Education (MSED) currently consists of faculty from the School of Biological Sciences and the Departments of Chemistry and Biochemistry, Cognitive Science, Communication, Education Studies, Mathematics, Philosophy, Psychology, and Sociology. The SDSU Program faculty is drawn from the Departments of Biology, Mathematical Sciences, Natural Sciences, Physics, Psychology, and the School of Education.

The program includes research, practical applications, and formal course work. Students must commit at least four years to the program, and most students will complete the program in four to five years. An individualized course of study will be designed for each student, depending on the student’s background and interests.

The graduates of this program will be able to contribute to the developing body of knowledge about human cognitive processes in mathematics and science. They will be expected to maintain a strong connection to educational practice through teaching and application of research results on learning to instructional situations.

Information regarding admission is found in the current edition of the Bulletin of the Graduate Division of San Diego State University.

PhD Time Limit Policies

All time limits for this program start when a student first registers in this program. Students must be advanced to candidacy by the end of four years. Total university support to students in this program cannot exceed five years. Total registered time in this program cannot exceed six years. The normative time in this program is five years.

Requirements for the Doctor of Philosophy Degree

Residency Requirements. After formal admission to the doctoral program, the student must complete a thirty-six-unit residency at the UC San Diego, of which a maximum of twelve units can be upper-division undergraduate courses (100 level). Lower-division undergraduate courses do not count toward residency. Students must also complete an eighteen-unit residency at San Diego State University. The residency requirements cannot be replaced by course work taken elsewhere.

Language Requirement. There is no formal language requirement for the program.

Course Requirements. All students admitted into the doctoral program will fulfill the following requirements. Any alternative method of fulfilling these requirements must be approved by the graduate advisers. Course descriptions can be found in the UC San Diego General Catalog (UC San Diego courses) and the SDSU Graduate Bulletin (SDSU courses).

• SDSU: MSE 801 and
• SDSU: MSE 802 and UC San Diego: MSED 295 (three units total, including one from each campus) , and
• SDSU: MSE 820 or UC San Diego: MSED 298.
• UC San Diego: MSED 296A, 296B, 296C and
• SDSU: MTHED 603.
• Science education students must also take SDSU: TE610C.
• Mathematics education students must select two of the following additional courses: SDSU: MTHED 600, 601, 604, 605, 606, and 607.
• SDSU: MSE 810 or MTHED 810 and one of the following sequences:
• UC San Diego: PSYC 201A, 201B or
• UC San Diego: MATH 282A, 282B or
• UC San Diego: EDS 254, 255.
• COGS 102A; COGS 102B, 152/252, 155, 200, 203, 220, 260; or one of COGS 101A, 101B, 101C.
• SDSU: MSE 805, 806, or 807 or
• UC San Diego: EDS 294, or Discipline 500.
• Philosophy and History. UC San Diego: PHIL 145, 146, 147, 209A; HISC 106, 107, 108, 109, 110, 160/260, 163/263, or 165.
• Sociology. UC San Diego: SOCG 270, SOCI 117/EDS 117, or EDS 136/139, or SOCI 126/EDS 126.
• Equity and Diversity. UC San Diego: EDS 113, 125, 250, 252, or 278.
• Mathematics and Science. Graduate level courses in biology, chemistry, mathematics, or physics.
• Teaching Experience. An option for students who have not yet had teaching experiences at both the K–12 and collegiate levels is to take a second teaching practicum.
• Other. Other types of courses (at the graduate or upper-division undergraduate level) can be approved by the advisers if they contribute to a coherent program.
• SDSU: MSE 830 or MTHED 830, and either SDSU: MSE 899 or UC San Diego: MSED 299.

Beyond these requirements, no specified number of courses is required for the doctoral degree. It is expected, however, that all the doctoral students will supplement the requirements with electives that contribute to individual career objectives.

Additional Requirements for Students Entering with a Master’s Degree in Mathematics Education or Science. Students who are admitted into the doctoral program with a master’s degree in mathematics or science education will increase the breadth and depth of their content knowledge by taking additional courses in mathematics or science, respectively. Three graduate-level courses must be taken, including at least one on each campus (UC San Diego and SDSU), and completed prior to the MSED second-year examination. The specific courses will be selected by each student with the approval of the MSED adviser. A grade of B or better must be earned in each course.

Examinations. Students in the doctoral program will be evaluated at the following levels:

• First Year Evaluation. The student’s ability to master graduate level course material may be assessed after completion of no more than twenty-four semester units of course work. This evaluation may take place not later than the third semester of the student’s enrollment in the program. The evaluation will be based on the student’s performance in course work and on indicated research competence, and it will be undertaken by the student’s advisory committee together with instructors from the student’s first-year courses.
• Comprehensive Examinations. At the end of the second year, the student will take a written comprehensive examination in general cognition and an oral examination on issues of learning pertinent to the student’s area of specialization.
• Oral Examination. During the third year in the program, the student will make an oral presentation to the dissertation committee to accompany a written proposal for the doctoral thesis. The student will be questioned on both the topic of the investigation and on the proposed research methodology. Upon successful completion of this presentation, the student will be recommended for advancement to candidacy for the doctoral degree.
• Dissertation Defense. After completion of the dissertation, the candidate will present a public defense of the doctoral dissertation. A copy of the dissertation must be made available to the doctoral faculty at both institutions four weeks prior to the defense. Copies of the abstract of the dissertation, along with the announcement of the defense, must be publicly available four weeks before the defense. The student’s dissertation committee will make a recommendation to the graduate deans to pass or fail the student.

Faculty Advisers. Upon admission to the doctoral program, the program directors will assign each student a faculty adviser at both universities. The faculty advisers will serve as advisers until the student’s dissertation committee is appointed.

Dissertation Committee. The dissertation committee will be composed of five members with at least two faculty members from each campus and at least one from a specialty other than that of the committee chair. The fifth faculty member must be tenured at either campus, must be from a specialty other than that of the committee chair, and may be from within or outside the MSED faculty. The student will select members of the dissertation committee in consultation with program faculty and the graduate advisers.

Dissertation. Following the successful completion of all prescribed course work and qualifying examinations, the major remaining requirement for the PhD will be the satisfactory completion of a dissertation consisting of original research carried out under the guidance of the major professor. Approval of the completed dissertation attests that an organized investigation that expands the frontiers of knowledge and understanding in mathematics and science education has been carried out.

Award of the Degree. The doctor of philosophy degree in mathematics and science education will be awarded jointly by the Regents of the University of California and the Trustees of the California State University in the names of both cooperating institutions.

Financial Support

San Diego State University and UC San Diego have a number of research and teaching associateships available to support students admitted to the joint doctoral program. All students applying to the program will be considered for financial support.