## MATH 284: Topics in Geometric Topology

Incompressible surfaces, irreducible manifolds, prime decomposition, Morse theory, Heegaard diagrams, Heegaard splittings, the Thurston norm, sutured manifold theory, Heegaard Floer homology, sutured Floer homology.

Terms: Spr
| Units: 3
| Repeatable for credit

Instructors:
Yang, T. (PI)

## MATH 284A: Geometry and Topology in Dimension 3

The Poincare conjecture and the uniformization of 3-manifolds. May be repeated for credit.

Last offered: Winter 2009
| Repeatable for credit

## MATH 284B: Geometry and Topology in Dimension 3

The Poincare conjecture and the uniformization of 3-manifolds. May be repeated for credit.

Last offered: Spring 2009
| Repeatable for credit

## MATH 286: Topics in Differential Geometry

May be repeated for credit.

Terms: Spr
| Units: 3
| Repeatable for credit

Instructors:
Schoen, R. (PI)

## MATH 301: Advanced Topics in Convex Optimization (CME 375)

Modern developments in convex optimization: semidefinite programming; novel and efficient first-order algorithms for smooth and nonsmooth convex optimization. Emphasis on numerical methods suitable for large scale problems arising in science and engineering. Prerequisites: convex optimization (
EE 364), linear algebra (
Math 104), numerical linear algebra (
CME 302); background in probability, statistics, real analysis and numerical optimization.

Last offered: Winter 2015
| Repeatable for credit

## MATH 305: Applied mathematics through toys and magic

This course is a series of case-studies in doing applied mathematics on surprising phenomena we notice in daily life. Almost every class will show demos of these phenomena (toys and magic) and suggest open projects. The topics range over a great variety and cut across areas traditionally pigeonholed as physics, biology, engineering, computer science, mathematics ¿ but, instead of developing sophisticated mathematics on simple material, our aim is to extract simple mathematical understanding from sophisticated material which, at first, we may not yet know how to pigeonhole. In each class I will try to make the discussion self-contained and to give everybody something to take home, regardless of the background.

Terms: Aut
| Units: 3

Instructors:
Tokieda, T. (PI)

## MATH 355: Graduate Teaching Seminar

Required of and limited to first-year Mathematics graduate students.

Terms: Spr
| Units: 1

Instructors:
Lucianovic, M. (PI)
;
Vasy, A. (PI)

## MATH 360: Advanced Reading and Research

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

Instructors:
Brendle, S. (PI)
;
Bump, D. (PI)
;
Candes, E. (PI)
;
Carlsson, G. (PI)
;
Chatterjee, S. (PI)
;
Church, T. (PI)
;
Cohen, R. (PI)
;
Conrad, B. (PI)
;
Dembo, A. (PI)
;
Diaconis, P. (PI)
;
Eliashberg, Y. (PI)
;
Fox, J. (PI)
;
Galatius, S. (PI)
;
Ionel, E. (PI)
;
Kerckhoff, S. (PI)
;
Li, J. (PI)
;
Mazzeo, R. (PI)
;
Mirzakhani, M. (PI)
;
Papanicolaou, G. (PI)
;
Pardon, J. (PI)
;
Poulson, J. (PI)
;
Rajaratnam, B. (PI)
;
Ryzhik, L. (PI)
;
Schoen, R. (PI)
;
Soundararajan, K. (PI)
;
Vakil, R. (PI)
;
Vasy, A. (PI)
;
Venkatesh, A. (PI)
;
White, B. (PI)
;
Ying, L. (PI)
;
Yun, Z. (PI)

## MATH 391: Research Seminar in Logic and the Foundations of Mathematics (PHIL 391)

Contemporary work. May be repeated a total of three times for credit.
Math 391 students attend the logic colloquium in 380-381T.

Terms: Aut, Win, Spr
| Units: 3
| Repeatable for credit

Instructors:
Feferman, S. (PI)

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