Welcome to Zengrui Han’s homepage
About Me
Starting in Fall 2025, I will be a Brin Postdoctoral Fellow in the Mathematics Department at the University of Maryland, College Park. I have defended my Ph.D. thesis on March 10, 2025.
I’m a fifth year Ph.D. student at the Department of Mathematics of Rutgers University, working under Professor Lev Borisov. I obtained my bachelor’s degree from University of Science and Technology of China (USTC) in 2020.
My main research interest is Algebraic Geometry, especially mirror symmetry and related areas. Here are some of the questions that I’m currently interested in:
- Toric mirror symmetry. For example, understanding derived equivalence between different crepant resolutions of affine toric Gorenstein singularities (categorification of GKZ systems), unification of different combinatorial mirror constructions (Batyrev-Borisov and Berglund-Hübsch-Krawitz), relations to tropical geometry, etc.
- Derived categories of algebraic varieties. For example, questions related to Kuznetsov’s Homological Projective Duality, categorical resolutions and noncommutative resolution of singularities.
- Grothendieck ring of varieties, D- and L- equivalences.
"Prince, what you are, you are through chance and birth; what I am, I am through my own labor.
There are many princes and there will continue to be thousands more, but there is only one Beethoven."
--From a conversation between Beethoven and Prince Lichnowsky