List of Graduate Courses with descriptions can be found here. More detailed Non-Qual Graduate Course Descriptions can be found here. Fall 2026 Graduate Courses Instructor Meeting Time 8000 Algebra Sid Mathur TR 9:55 to11:15 am 8030 Representation Theory and Combinatorics Nate Harman TR 1:15 to 2:35pm 8100 Real Analysis Szarek Tomasz TR 8:15 to 9:35am 8230 Diffeomorphisms and Cerf Theory David Gay TR 9:55 to 11:15am 8230 Differential Geometry I Jason Cantarella TR 11:35 to 12:55pm 8300 Introduction to Algebraic Geometry Jimmy Dillies MWF 8:40 to 9:35am 8330 Moduli Spaces and Deformations Valery Alexeev TR 9:55 to 11:15am 8440 Analytic Number Theory I Paul Pollack MWF 1:15 to 2:10pm 8500 Numerical Analysis Joao Pereira MWF 2:55 to 3:50pm 8710 Variational Methods and Perturbation Theory Weiwei Hu TR 9:55 to 11:15am 8770 Partial Differential Equations Jingzhi Tie TR 1:15 to 2:35pm Spring 2027 Graduate Courses 8010 Representations of Finite Groups Sam Miller 8030 Homological Algebra Dino Lorenzini 8080 Lie Algebras William Graham 8150 Complex Analysis Sa'ar Hersonsky 8170 Functional Analysis Zhenhua Wang 8200 Algebraic Topology Akram Alishahi 8230 Bogomolov-Miyaoka-Yau inequality Peter Lambert-Cole 8310 Geometry of Schemes Dino Lorenzini 8430 Topics in Number Theory Jiuya Wang 8440 Additive Combinatorics I Giorgis Petridis 8510 Advanced Numerical Analysis: Finite Element Methods and Finite Difference Methods Lin Mu and Ruiwen Shu