Selected Coursework

Selected graduate‑level coursework completed at the University of Michigan                                                          Aug 2022 – May 2025

•  MATH 631, 632 (algebraic geometry I, II) 

•  MATH 679 (elliptic curves)

•  MATH 669 (symmetric functions)

•  MATH 669' (convexity in combinatorics)

•  MATH 668 (combinatorial matrix theory) 

•  MATH 614, 615 (commutative algebra I, II)

•  MATH 605 (several complex variables)

•  MATH 635 (Riemannian geometry)

•  MATH 656 (partial differential equations)

•  MATH 576 (algebraic number theory)

•  MATH 592 (algebraic topology)

•  MATH 597 (real analysis)

•  MATH 591 (differentiable manifolds)

Selected graduate‑level coursework audited at the University of Michigan                                                                Aug 2022 – May 2025

•  MATH 638 (algebraic groups) 

•  MATH 668 (Coxeter groups and root systems)

•  Schubert calculus (lecture series by William Fulton)

Selected coursework completed at Shandong University                                                                                          Sep 2020 – Jun 2022

•  Advanced linear algebra (Lie algebras and their representations)

•  Advanced abstract algebra (rings and categories of modules)

•  Stochastic calculus: an introduction with applications

•  Elementary algebraic geometry

•  Basic representation theory

•  Abstract algebra (fields and Galois theory)

•  Complex analysis

•  Topology

•  Real variable functions

•  Probability theory

•  Ordinary differential equations

•  Advanced analysis and algebra

•  Advanced algebra I, II

•  Mathematical analysis I, II, III

•  Elementary number theory and analytic geometry

Selected coursework audited at Shandong University                                                                                               Sep 2020 – Jun 2022

•  Analytic number theory

•  Homological algebra

•  Tensor algebra