printer friendly pageMATH 210B: Modern Algebra II
Continuation of 210A. Topics in Galois theory, commutative algebra, and algebraic geometry. Prerequisites: 210A, and 121 or equivalent.
Terms: Win
| Units: 3
Instructors:
Conrad, B. (PI)
MATH 210C: Lie Theory
Topics in Lie groups, Lie algebras, and/or representation theory. Prerequisite:
math 210B. May be repeated for credit.
Terms: Spr
| Units: 3
| Repeatable
5 times
(up to 15 units total)
Instructors:
Venkatesh, A. (PI)
MATH 215A: Complex Analysis, Geometry, and Topology
Analytic functions, complex integration, Cauchy's theorem, residue theorem, argument principle, conformal mappings, Riemann mapping theorem, Picard's theorem, elliptic functions, analytic continuation and Riemann surfaces.
Terms: Aut
| Units: 3
Instructors:
Ryzhik, L. (PI)
MATH 215B: Complex Analysis, Geometry, and Topology
Topics: fundamental group and covering spaces, homology, cohomology, products, basic homotopy theory, and applications. Prerequisites: 113, 120, and 171, or equivalent; 215A is not a prerequisite for 215B.
Terms: Win
| Units: 3
Instructors:
Galatius, S. (PI)
MATH 215C: Complex Analysis, Geometry, and Topology
Differentiable manifolds, transversality, degree of a mapping, vector fields, intersection theory, and Poincare duality. Differential forms and the DeRham theorem. Prerequisite: 215B or equivalent.
Terms: Spr
| Units: 3
Instructors:
Carlsson, G. (PI)
MATH 216A: Introduction to Algebraic Geometry
Algebraic curves, algebraic varieties, sheaves, cohomology, Riemann-Roch theorem. Classification of algebraic surfaces, moduli spaces, deformation theory and obstruction theory, the notion of schemes. May be repeated for credit. Prerequisites: 210ABC or equivalent.
Terms: Aut
| Units: 3
| Repeatable
for credit
Instructors:
Li, Z. (PI)
MATH 216B: Introduction to Algebraic Geometry
Continuation of 216A. May be repeated for credit.
Terms: Win
| Units: 3
| Repeatable
for credit
Instructors:
Vakil, R. (PI)
MATH 216C: Introduction to Algebraic Geometry
Continuation of 216B. May be repeated for credit.
Terms: Spr
| Units: 3
| Repeatable
for credit
Instructors:
Vakil, R. (PI)
MATH 217A: Differential Geometry
Smooth manifolds and submanifolds, tensors and forms, Lie and exterior derivative, DeRham cohomology, distributions and the Frobenius theorem, vector bundles, connection theory, parallel transport and curvature, affine connections, geodesics and the exponential map, connections on the principal frame bundle. Prerequisite: 215C or equivalent.
Terms: Spr
| Units: 3
Instructors:
Mazzeo, R. (PI)
MATH 220: Partial Differential Equations of Applied Mathematics (CME 303)
First-order partial differential equations; method of characteristics; weak solutions; elliptic, parabolic, and hyperbolic equations; Fourier transform; Fourier series; and eigenvalue problems. Prerequisite: foundation in multivariable calculus and ordinary differential equations.
Terms: Aut
| Units: 3
Instructors:
Ryzhik, L. (PI)
Filter Results: