List of Graduate Courses with descriptions can be found here. More detailed Non-Qual Graduate Course Descriptions can be found here. Fall 2025 Graduate Courses Instructor Meeting Time 8000 Algebra Nate Harman 8100 Real Analysis Szarek 8130 Linear and polynomial progressions in the primes Akos Magyar 8190 Algebraic Groups Daniel Nakano 8210 Topology of Manifolds Mike Usher 8320 Algebraic Curves Hulya Arguz 8330 Intersection Theory Pierrick Bousseau 8410 Algebraic Number Theory II Pete L. Clark 8500 Numerical Analysis Lin Mu 8710 Applied Mathematics: Variational Methods Weiwei Hu Spring 2026 Graduate Courses 8020 Commutative Algebra Dino Lorenzini 8030 Topics in Geometric Representation Theory Alberto San Miguel Malaney 8150 Complex Variables I Jingzhi Tie 8200 Algebraic Topology Gordana Matic 8230 Topology of 3- and 4-manifolds Akram Alishahi 8260 Differential Geometry II Saar Hersonsky 8315 Cohomology of Sheaves Valery Alexeev 8430 Topics in Arithmetic Geometry Dino Lorenzini 8440 Combinatorial Number Theory Petridis 8550 Topics in Numerical Analysis Joao Pereira 8600 Probability Qing Zhang