Rong Zhou

E-mail: rz240@dpmms.cam.ac.uk

I am an Associate Professor in the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge.
I am interested in arithmetic geometry and representation theory, in particular on problems related to the mod p geometry of Shimura varieties.

CV

Papers

Integral models of Shimura varieties with parahoric level, II, with M. Kisin and G. Pappas, preprint

On the smooth locus of affine Schubert varieties, G. Pappas, submitted

Stabilizers of irreducible components of affine Deligne-Lusztig varieties, with X. He and Y. Zhu. Journal of the European Mathematical Society, To appear.

Independence of l for Frobenius conjugacy classes attached to abelian varieties, with M. Kisin, 1 hour video talk.
Isogeny classes in Shimura varieties with very special level structure, Appendix to Mod p points on Shimura varieties of parahoric level by P. Van Hoften.
Motivic cohomology of quaternionic Shimura varieties and level raising, Ann. Sci. École Norm. Sup., (4) 56, 1231-1297
Twisted orbital integrals and irreducible components of affine Deligne-Lusztig varieties, with Y. Zhu, Cambridge Journal of Mathematics 8 (1), 149-241, 1 hour video talk.
Mod p isogeny classes on Shimura varieties with parahoric level structure, Duke Mathematical Journal 169 (15), 2937-3031
On the connected components of affine Deligne-Lusztig varieties, with X. He, Duke Mathematical Journal 169 (14), 2697-2765
Serre-Tate theory for Shimura varieties of Hodge-Type, with A. N. Shankar, Mathematische Zeitschrift (2020)
Rational points on twisted K3 surfaces and rational equivalence, with K. Ascher K. Dasaratha, and A. Perry, in Brauer groups and obstruction problems: moduli spaces and arithmetic

Other writings

Model categories and the cotangent complex My Harvard 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 a course on Complex Multiplication of elliptic curves that I taught with Yihang Zhu at Harvard in Fall 2014.