Qiao He

I am a Ritt Assistant Professor at Columbia University.
I graduated from UW-Madison under the supervision of Professor Tonghai Yang in 2023.
I am broadly interested in number theory and arithmetic geometry.

Email: qh2275 at columbia dot edu                    Here is my CV.

Research

1. Pullback of arithmetic Theta series and its modularity for unitary Shimura curves , with Yousheng Shi and Tonghai Yang, submitted, 36pp.

2. On the Kudla-Rapoport conjecture for unitary Shimura varieties with maximal parahoric level structure at unramified primes, with Sungyoon Cho and Zhiyu Zhang, preprint, 93 pp.
   

3. Dihedral long root A-packets of p-adic G2 via theta correspondence, with Raul Alonso, Mishty Ray, Marti Roset, submitted, 41pp.
   

4. Just-likely intersections on Hilbert modular surfaces, with Asvin G. and Ananth N. Shankar.
   To appear in Mathematische Annalen.

5. A proof of the Kudla-Rapoport conjecture for Kramer models, with Chao Li, Yousheng Shi and Tonghai Yang.
   Inventiones Mathematicae, 234, 721-817 (2023).
   

6. Kudla-Rapoport conjecture for Kramer models, with Yousheng Shi and Tonghai Yang.
   Compositio Mathematica, Volume 159, Issue 8, August 2023, 1673 - 1740.
   

7. Kudla program for unitary Shimura varieties (a survey paper). Published version (in Chinese), with Yousheng Shi and Tonghai Yang.
   Sci Sin Math, 2021, 51: 1595-1626.
   

8. The Kudla-Rapoport conjecture at a ramified prime for U(1,1), with Yousheng Shi and Tonghai Yang.
   Transactions of the AMS, 376 (2023), 2257-2291.
   

9. On conjectures of Samart, with Dongxi Ye.
   manuscripta mathematica, 167 (2022), 545-588.
   

Seminar

This semester (Spring 2024), I am co-organizing a seminar on the relative Langlands duality.