MATH 245A: Topics in Algebraic Geometry
Topics of contemporary interest in algebraic geometry. May be repeated for credit.nnNOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.
Terms: Aut
| Units: 3
| Repeatable
for credit
Instructors:
Larson, E. (PI)
MATH 245B: Topics in Algebraic Geometry
May be repeated for credit.nnNOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.
Terms: Win
| Units: 3
| Repeatable
for credit
Instructors:
Vakil, R. (PI)
MATH 245C: Topics in Algebraic Geometry
May be repeated for credit.
Last offered: Spring 2017
| Repeatable
for credit
MATH 249A: Topics in number theory
Topics of contemporary interest in number theory. May be repeated for credit.
Last offered: Autumn 2018
| Repeatable
for credit
MATH 249B: Topics in Number Theory
NOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.
Terms: Win
| Units: 3
| Repeatable
for credit
Instructors:
Taylor, R. (PI)
MATH 249C: Topics in Number Theory
NOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.
Terms: Spr
| Units: 3
| Repeatable
for credit
Instructors:
Tsai, C. (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.nnNOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.
Terms: Spr
| Units: 3
Instructors:
Luk, J. (PI)
MATH 256B: Partial Differential Equations
Continuation of 256A.
Last offered: Winter 2019
| Repeatable
for credit
MATH 257A: Symplectic Geometry and Topology
Linear symplectic geometry and linear Hamiltonian systems. Symplectic manifolds and their Lagrangian submanifolds, local properties. Symplectic geometry and mechanics. Contact geometry and contact manifolds. Relations between symplectic and contact manifolds. Hamiltonian systems with symmetries. Momentum map and its properties. May be repeated for credit.nnNOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.
Terms: Aut
| Units: 3
| Repeatable
2 times
(up to 6 units total)
Instructors:
Varolgunes, U. (PI)
MATH 257B: Symplectic Geometry and Topology
Continuation of 257A. May be repeated for credit.nnNOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.
Terms: Win
| Units: 3
| Repeatable
for credit
Instructors:
Eliashberg, Y. (PI)
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