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Algebra/Algebraic Geometry/Number Theory
- MATH 600 Abstract Algebra I (Niranjan Ramachandran)
- MATH 608K Selected Topics in Algebra: Introduction to Modular Forms (Steve Kudla)
Analysis
- MATH 630 Real Analysis I (Bob Warner)
- MATH 632 Functional Analysis (Ray Johnson)
- MATH 660 Complex Analysis I (Carlos Berenstein)
Differential Equations/Dynamical Systems
- MATH 642 Dynamical Systems I (Joseph Auslander)
- MATH/AMSC 670 Ordinary Differential Equations I (Michael Jakobson)
- MATH/AMSC 673 Partial Differential Equations I (Leon Greenberg)
Logic
- MATH 712 Mathematical Logic I (David Kueker)
- MATH 718L Selected Topics in Mathematical Logic: Categorical Structures (Chris Laskowski)
Geometry/Topology
- MATH 730 Fundamental Concepts of Topology (John Millson)
- MATH 740 Riemannian Geometry (Karsten Grove)
- MATH 744 Lie Groups I (Bill Goldman)
- MATH 748B Selected Topics in Geometry and Topology: Rank One Geometry (Richard Schwartz)
- MATH 748H Selected Topics in Geometry and Topology: Symplectic Manifolds and Hamiltonian Systems (Sergei Novikov)
Numerical Analysis/Applied Mathematics
- AMSC 607 Advanced Numerical Optimization (Diane O'Leary)
- AMSC 614 Mathematics of the Finite Element Method (Bo Li)
- AMSC 660 Scientific Computing I (Jian-Guo Liu)
- AMSC 662 Computer Organization and Programming for Scientific Computing (Pete Stewart)
- AMSC 666 Numerical Analysis I (Howard Elman)
- AMSC 698K Advanced Topics in Applied Mathematics: Topics in Kinetic Theory (David Levermore)
Probability/Statistics
- STAT 600 Probability Theory I (T.-Y. Lee)
- STAT 698D Selected Topics in Probability: Stochastic Differential Equations (Mark Freidlin)
- STAT 700 Mathematical Statistics I (Eric Slud)
- STAT 710 Advanced Statistics I (Grace Yang)
- STAT 740 Analysis of Variance (Ben Kedem)
- STAT 770 Analysis of Categorical Data (Abram Kagan)
- STAT 798C Selected Topics in Statistics: Computational Methods in Statistics (Paul Smith)