I am a third-year Ph.D. student in mathematics at UC Berkeley working with David Nadler. Here are my contact information and CV. I received my A.B. in mathematics from Princeton University, where I got advised by János Kollár.
My research interests lie in algebraic geometry, homological algebra and symplectic geometry. I am particularly interested in:
- Geometric information contained in derived categories of coherent sheaves (e.g. Orlov's conjecture on the Rouquier dimension);
- Birational geometry (the minimal model program, DK hypothesis);
- Tensor triangular geometry and studies of thick subcategories in trinagulated categories;
- The homological mirror symmetry, representation of finite dimensional algebras, and their applications to studies of derived categories of coherent sheaves;
- (Noncommutative) derived algebraic geometry.
Ongoing events (Spring 2024)
- I am paticipating in SLMath workshops on Commutative Algebra and Noncommutative Algebraic Geometry.
- I am co-organizing Nadler's Geometric Representation Theory Seminar with Ansuman Bardalai.
- I am organiziong a reading group on topics in K3 surfaces and derived cateogries.
- I am a GSI for Math 1B. My office hours are 6pm-7pm on MW at 935 Evans.