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
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Intersections of Hecke correspondences on modular curves, with Baiqing Zhu, preprint, 78pp.
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The basic locus of ramified unitary Rapoport-Zink space at maximal vertex level, with Yu Luo and Yousheng Shi, preprint, 54pp.
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Regular models of ramified unitary Shimura varieties at maximal parahoric level, with Yu Luo and Yousheng Shi, preprint, 47pp.
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Pullback of arithmetic Theta series and its modularity for unitary Shimura curves, with Yousheng Shi and Tonghai Yang, submitted, 36pp.
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.
Dihedral long root A-packets of p-adic G2 via theta correspondence, with Raul Alonso, Mishty Ray, Marti Roset.
Advances in Mathematics, 453, 2024.Just-likely intersections on Hilbert modular surfaces, with Asvin G. and Ananth N. Shankar.
Mathematische Annalen, 1467-1480, 390, 2024.-
A proof of the Kudla-Rapoport conjecture for Kramer models, with Chao Li, Yousheng Shi and Tonghai Yang.
Inventiones Mathematicae, 234, 721-817 (2023). Kudla-Rapoport conjecture for Kramer models, with Yousheng Shi and Tonghai Yang.
Compositio Mathematica, Volume 159, Issue 8, August 2023, 1673 - 1740.
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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. -
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. -
On conjectures of Samart, with Dongxi Ye.
manuscripta mathematica, 167 (2022), 545-588.
Seminar
I am co-organizing the Automorphic forms and Arithmetic seminar. 