papers

Publications (34)

math.NT2021

CM values of higher automorphic Green functions for orthogonal groups

Jan Hendrik Bruinier, Stephan Ehlen, Tonghai Yang

math.NT2025

Deformations of Theta Integrals and A Conjecture of Gross-Zagier

Jan H. Bruinier, Yingkun Li, Tonghai Yang

math.NT2011

On the pullback of an arithmetic theta function

Stephen Kudla, Tonghai Yang

math.NT2005

Twisted Borcherds products on Hilbert modular surfaces and their CM values

Jan Hendrik Bruinier, Tonghai Yang

math.NT2018

The lambda invariants at CM points

Tonghai Yang, Hongbo Yin, Peng Yu

math.NT2003

On CM abelian varieties over imaginary quadratic fields

Tonghai Yang

math.NT2018

Twisted arithmetic Siegel Weil formula on X0(N)

Tuoping Du, Tonghai Yang

math.NT2008

Faltings heights of CM cycles and derivatives of L-functions

Jan Hendrik Bruinier, Tonghai Yang

math.NT2000

Non-vanishing of the Central Derivative of Canonical Hecke L-functions

Stephen D. Miller, Tonghai Yang

math.NT2022

A genus two arithmetic Siegel-Weil formula on X_0(N)

Siddarth Sankaran, Yousheng Shi, Tonghai Yang

math.NT2010

Faltings heights of big CM cycles and derivatives of L-functions

Jan Hendrik Bruinier, Stephen S. Kudla, Tonghai Yang

math.AG2025

Non-vanishing of Ceresa and Gross--Kudla--Schoen cycles associated to modular curves

Matt Kerr, Wanlin Li, Congling Qiu +1

math.NT2010

Arithmetic Intersection on a Hilbert Modular Surface and the Faltings Height

Tonghai Yang

math.NT2010

CM values of automorphic Green functions on orthogonal groups over totally real fields

Jan H. Bruinier, Tonghai Yang

math.NT1998

A peculiar modular form of weight one

Stephen S. Kudla, Michael Rapoport, Tonghai Yang

math.NT2017

Difference of modular functions and their CM value factorization

Tonghai Yang, Hongbo Yin

math.NT2017

CM fields of Dyhedral type and the Colmez conjecture

Tonghai Yang, Hongbo Yin

math.NT2017

Borcherds Products on Unitary Group

Tonghai Yang, Dongxi Ye

math.NT2023

A proof of the Kudla-Rapoport conjecture for Krämer models

Qiao He, Chao Li, Yousheng Shi +1

math.NT2023

Kudla-Rapoport conjecture for Krämer models

Qiao He, Yousheng Shi, Tonghai Yang

math.NT2020

Modularity of generating series of divisors on unitary Shimura varieties II: arithmetic applications

Jan Bruinier, Benjamin Howard, Stephen S. Kudla +2

math.NT2012

Quaternions and Kudla's matching princple

Tuoping Du, Tonghai Yang

math.NT2018

Arithmetic Siegel-Weil formula on

Tuoping Du, Tonghai Yang

math.NT2014

Heights of Kudla-Rapoport divisors and derivatives of L-functions

Jan Hendrik Bruinier, Benjamin Howard, Tonghai Yang

math.NT2025

On a Conjecture of Yui and Zagier II

Yingkun Li, Tonghai Yang, Dongxi Ye

math.NT2005

Reduction of CM elliptic curves and modular function congruences

Noam D. Elkies, Ken Ono, Tonghai Yang

math.NT2010

An arithmetic intersection formula on Hilbert modular surfaces

Tonghai Yang

math.NT2023

The Kudla-Rapoport conjecture at a ramified prime for

Qiao He, Yousheng Shi, Tonghai Yang

math.NT2012

Singular moduli refined

Benjamin Howard, Tonghai Yang

math.NT2019

On a Conjecture of Yui and Zagier

Yingkun Li, Tonghai Yang

math.NT2019

Arithmetic degrees of special cycles and derivatives of Siegel Eisenstein series

Jan Hendrik Bruinier, Tonghai Yang

math.NT2025

Pullback of arithmetic theta series and its modularity for unitary Shimura curves

Qiao He, Yousheng Shi, Tonghai Yang

math.RT2025

Gaussian test functions and Jacquet-Rallis transfer

Andreas Mihatsch, Siddarth Sankaran, Tonghai Yang

math.NT2020

Modularity of generating series of divisors on unitary Shimura varieties

Jan Bruinier, Benjamin Howard, Stephen S. Kudla +2