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31 - 38 of 38 results for: MATH

MATH 249A: Topics in number theory

Topics of contemporary interest in number theory. May be repeated for credit.
Terms: Aut | Units: 3 | Repeatable for credit
Instructors: Taylor, R. (PI)

MATH 256A: Partial Differential Equations

The theory of linear and nonlinear partial differential equations, beginning with linear theory involving use of Fourier transform and Sobolev spaces. Topics: Schauder and L2 estimates for elliptic and parabolic equations; De Giorgi-Nash-Moser theory for elliptic equations; nonlinear equations such as the minimal surface equation, geometric flow problems, and nonlinear hyperbolic equations.
Terms: Aut | Units: 3
Instructors: Luk, J. (PI)

MATH 263A: Algebraic Combinatorics and Symmetric Functions

Symmetric function theory unifies large parts of combinatorics. Theorems about permutations, partitions, and graphs now follow in a unified way. Topics: The usual bases (monomial, elementary, complete, and power sums). Schur functions. Representation theory of the symmetric group. Littlewood-Richardson rule, quasi-symmetric functions, combinatorial Hopf algebras, introduction to Macdonald polynomials. Throughout, emphasis is placed on applications (e.g. to card shuffling and random matrix theory). Prerequisite: 210A and 210B, or equivalent.
Terms: Aut | Units: 3 | Repeatable for credit
Instructors: Diaconis, P. (PI)

MATH 269: Topics in symplectic geometry

May be repeated for credit.
Terms: Aut | Units: 3 | Repeatable for credit

MATH 273: Topics in Mathematical Physics (STATS 359)

Covers a list of topics in mathematical physics. The specific topics may vary from year to year, depending on the instructor's discretion. Background in graduate level probability theory and analysis is desirable.
Terms: Aut | Units: 3 | Repeatable for credit

MATH 298: Graduate Practical Training

Only for mathematics graduate students. Students obtain employment in a relevant industrial or research activity to enhance their professional experience. Students submit a concise report detailing work activities, problems worked on, and key results. May be repeated for credit up to 3 units. Prerequisite: qualified offer of employment and consent of department. Prior approval by Math Department is required; you must contact the Math Department's Student Services staff for instructions before being granted permission to enroll.
Terms: Aut, Win, Spr, Sum | Units: 1 | Repeatable for credit
Instructors: Ryzhik, L. (PI)

MATH 360: Advanced Reading and Research

Terms: Aut, Win, Spr, Sum | Units: 1-10 | Repeatable for credit

MATH 802: TGR Dissertation

Terms: Aut, Win, Spr, Sum | Units: 0 | Repeatable for credit
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