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