Yousheng Shi

School of Mathematical Sciences at Zhejiang University, Hangzhou.
Email:0023140@zju.edu.cn
Room 919, School of Mathematical Sciences, 866 Yuhangtang Road, Hangzhou, China.

Research Interests

Number theory and arithmetic algebraic geometry.

About me

I am a tenure-tracked researcher at Zhejiang University. I got my Ph.D. at University of Maryland, College Park in 2019 under the supervision of John Millson, and co-advised by Michael Rapoport. I was a Van Vleck Visiting Assitant Professor at University of Wisconsin, Madison, from August 2019 to May 2020, and from August 2021 to May 2023. (My CV)

Publications

A proof of the Kudla-Rapoport conjecture for Kramer models.
With Qiao He, Chao Li and Tonghai Yang, Inventiones Mathematicae, (2023), 234(2), 721-817.

A genus two arithmetic Siegel-Weil formula on X_0(N).
With Siddarth Sankaran and Tonghai Yang, Transactions of AMS, (2023), 376(06), 3995-4041.

Kudla-Rapoport Conjecture for Kramer models.
With Qiao He and Tonghai Yang, Compositio Mathematica, (2023), 159(8), 1673-1740.

Kudla program for unitary Shimura varieties.
With Qiao He and Tonghai Yang. Sci Sin Math, (2021), 51: 1595-1626.

The Kudla Rapoport Conjecture at a ramified prime for U(1,1) .
With Qiao He and Tonghai Yang. Transactions of AMS, (2023), Volume 376, Number 4, pp 2257-2291.

Special cycles on unitary Shimura curves at ramified primes.
Manuscripta Mathematica, (2022), 172(1-2), 221-290.

Special cycles on the basic locus of unitary Shimura varieties at ramified primes.
Algebra & Number Theory, (2023), 17(10), 1681-1741.

Theta series and generalized special cycles on Hermitian locally symmetric manifolds.
Math Annalen, (2022), 386(3-4), 1463-1553.

Preprints

The basic locus of ramified unitary Rapoport-Zink space at maximal vertex level.
With Qiao He and Yu Luo.

Regular models of ramified unitary Shimura varieties at maximal parahoric level.
With Qiao He and Yu Luo.

Pullback of arithmetic theta series and its modularity for unitary Shimura curves.
With Qiao He and Tonghai Yang.

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