Research

1. Graduate Program in Algebra
   • 1.1 Core Courses and Requirements in Algebra
   • 1.2 Linear and Arithmetic Groups and Associated Structures
   • 1.3 Nonassociative Algebra and Geometry
   • 1.4 Representation Theory
2. Graduate Program in Analysis
   • 2.1 Core Courses and Requirements in Analysis
   • 2.2 Differential Equations and Related Applied Mathematics
   • 2.3 Mathematical Physics
   • 2.4 Operator Theory, Function Theory, and Operator Algebras
   • 2.5 Probability and Related Applied Mathematics
3. Graduate Program in Topology
   • 3.1 Core Courses and Requirements in Topology
   • 3.2 Algebraic Topology
   • 3.3 Geometric Topology
4. Graduate Program in the History of Mathematics