Rong Zhou

E-mail: rzhou at ias dot edu

I am currently a Gibbs Assistant Professor at Yale. Previously I was a member at the IAS, and a graduate student at Harvard where my advisor was Mark Kisin.

I am interested in arithmetic geometry and representation theory, in particular on problems related to the mod p geometry of Shimura varieties.

CV

Papers

1. Component stabilizers of affine Deligne-Lusztig varieties in the affine Grassmannian, with Xuhua He and Yihang Zhu, coming soon!

2. Motivic cohomology of quaternionic Shimura varieties and level raising, preprint

3. Twisted orbital integrals and irreducible components of affine Deligne-Lusztig varieties, with Yihang Zhu, submitted, 1 hour video talk.

4. Mod-p isogeny classes on Shimura varieties with parahoric level structure, submitted (This is essentially my PhD Thesis)

5. On the connected components of affine Deligne-Lusztig varieties, with Xuhua He, submitted

6. Serre-Tate theory for Shimura varieties of Hodge-Type, with Ananth N. Shankar, submitted

7. Rational points on twisted K3 surfaces and rational equivalence, with Kenneth Ascher Krishna Dasaratha, and Alexander Perry, in Brauer groups and obstruction problems: moduli spaces and arithmetic

Notes/Expository writings

Modularity Lifting Theorems Notes from Spring 2014 course at MIT taught by Sug Woo Shin.

Model categories and the cotangent complex My minor thesis. It's an exposition of the construction of the cotangent complex and some applications to characterizing complete intersections and smooth morphisms of schemes.

Notes from course on Complex Multiplication of elliptic curves that I taught with Yihang Zhu at Harvard in Fall 2014.