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. Regular models of ramified unitary Shimura varieties at maximal parahoric level , with Yu Luo and Yousheng Shi, preprint, 47pp.

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

3. 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.
   

4. Dihedral long root A-packets of p-adic G2 via theta correspondence, with Raul Alonso, Mishty Ray, Marti Roset.
   Advances in Mathematics, 453, 2024.

5. Just-likely intersections on Hilbert modular surfaces, with Asvin G. and Ananth N. Shankar.
   Mathematische Annalen, 1467-1480, 390, 2024.

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

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

8. 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.
   

9. 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.
   

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

Seminar

I am co-organizing the Automorphic forms and Arithmetic seminar.