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MATH 249A: Transcendental Number Theory

Terms: Aut | Units: 3 | Repeatable 3 times (up to 9 units total)
Instructors: Conrad, B. (PI)

MATH 249C: Topics in Number Theory: Class Field Theory and the Langlands Conjectures

Terms: Spr | Units: 3 | Repeatable for credit

MATH 252: Algebraic Groups

Smooth affine groups over general fields, quotients, tori, solvable groups, reductive groups, root systems, Existence and Isomorphism theorem, structure theory. If time permits, classification theory over interesting fields. Prerequisites: 210A, 210B, and familiarity with algebraic varieties over general fields.
Terms: Win | Units: 3 | Repeatable for credit
Instructors: Conrad, B. (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: Spr | Units: 3 | Repeatable 2 times (up to 6 units total)

MATH 256B: Partial Differential Equations

Continuation of 256A.
Last offered: Winter 2009 | Repeatable 2 times (up to 6 units total)

MATH 258: Topics in Geometric Analysis

May be repeated for credit.
Terms: Aut | Units: 3 | Repeatable for credit
Instructors: Brendle, S. (PI)

MATH 263A: Lie Groups and Lie Algebras

Definitions, examples, properties. Semi-simple Lie algebras, their structure and classification. Cartan decomposition: real Lie algebras. Representation theory: Cartan-Stiefel diagram, weights. Weyl character formula. Orthogonal and symplectic representations. May be repeated for credit. Prerequisite: 210 or equivalent.
Terms: Win | Units: 3 | Repeatable 2 times (up to 6 units total)

MATH 263B: Lie Groups and Lie Algebras

Continuation of 263A. May be repeated for credit.
Terms: Spr | Units: 3 | Repeatable 2 times (up to 6 units total)
Instructors: Bump, D. (PI)

MATH 269: Topics in symplectic geometry

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

MATH 272: Topics in Partial Differential Equations

Terms: Win | Units: 3 | Repeatable for credit
Instructors: Liu, T. (PI)
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