Doctor of Philosophy in Mathematics

The Department faculty have research interests including algebra, analysis, applied mathematics, combinatorics, differential geometry, geometric topology, harmonic analysis, mathematical biology, mathematical physics, numerical analysis, partial differential equations, optimization and control, quantum computation and representation theory. Mathematics graduate students can go on to do advanced work in any of the fields represented by the Department's faculty, including both theoretical and applied areas. The Master's and Ph.D. programs provide courses and seminars in various areas of mathematics. Ph.D. students then write a dissertation featuring original research under the direction of one of the Department's faculty. The Master's program normally takes two years to complete, while the Ph.D. usually requires four to five years.

The graduate program offers a diverse set of research programs, including algebra, analysis, applied mathematics, combinatorics, differential geometry, geometric topology, harmonic analysis, mathematical biology, mathematical physics, numerical analysis, partial differential equations, optimization, probability, quantum computation, and representation theory. Ample student support is available from a variety of sources. Nearly 90 percent of the faculty members have grant support from one or more federal agencies, including the National Science Foundation, the National Institutes of Health, and the departments of Defense and Energy. With a vibrant research program, the Department of Mathematics has numerous weekly seminars in core areas of pure and applied mathematics, including a colloquium and seminars in applied math, discrete mathematics, geometry/topology, mathematical physics and optimization, and a student-run seminar. The program is small enough to provide students with the personal attention necessary to meet their desired goal. However, the program also offers the advantages of a large graduate program, such as a broad choice of graduate courses, research areas, potential dissertation supervisors, major library resources, computer facilities, and support.

UC Davis requires academic records from ALL college-level institutions you have listed on your application (this includes transfer courses that show up on your transcripts).
A minimum 3.0 GPA on a 4.0 scale (or equivalent) from the institution where you have earned or will earn your bachelor's degree.
Statement of Purpose
Recommendation Letters
Personal History & Diversity Statement
TOEFL: The minimum score required for admission to graduate study at UC Davis is a score of 550 for the paper test and a score of 80 on the Internet-based test. Although an 80 iBT score is the minimum required for admission additional English language coursework or testing may be required for admitted students who have iBT scores below 104 or who plan to work as a TA/RA.
IELTS: The most recent overall BAND score must be at least 7 on a 9-point scale.