Tonghai Yang

发表

Minimal CM Liftings of Supersingular Elliptic Curves

Tonghai Yang, Tonghai Yang, 2008 .

Arithmetic Siegel–Weil formula on X0(N)

Tonghai Yang, T. Du, Tuoping Du, 2017, Advances in Mathematics.

Quaternions and Kudla's matching princple

Tonghai Yang, T. Du, Tuoping Du, 2012, 1208.0670.

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

Tonghai Yang, J. Bruinier, 2010, 1004.3720.

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

Benjamin J. Howard, Tonghai Yang, J. Bruinier, 2017, Astérisque.

The Main Results

Benjamin J. Howard, Tonghai Yang, 2012 .

The work of Gross and Zagier triggered a lot of further research on height pairings of algebraic cycles on Shimura varieties

Tonghai Yang, Hendrik Bruinier, 2008 .

CM values of higher automorphic Green functions for orthogonal groups

Tonghai Yang, J. Bruinier, Stephan Ehlen, 2019, Inventiones mathematicae.

Some non-congruence subgroups and the associated modular curves

Tonghai Yang, Hongbo Yin, 2016 .

Common zeros of theta functions and central Hecke L-values of CM number fields of degree 4

Tonghai Yang, 1998 .

THE SECOND TERM OF AN EISENSTEIN SERIES

Tonghai Yang, 2002 .

A peculiar modular form of weight one

Tonghai Yang, S. Kudla, M. Rapoport, 1998, math/9808143.

Deformations of Theta Integrals and A Conjecture of Gross-Zagier

Tonghai Yang, Yingkun Li, J. Bruinier, 2022, 2204.10604.

The Lambda Invariants at CM Points

Tonghai Yang, Peng Yu, Hongbo Yin, 2018, International Mathematics Research Notices.

Weakly holomorphic modular forms on $$\Gamma _{0}(4)$$Γ0(4) and Borcherds products on unitary group $$\mathrm{U}(2,1)$$U(2,1)

Tonghai Yang, Dongxi Ye, 2018 .

Difference of modular functions and their CM value factorization

Tonghai Yang, Hongbo Yin, 2017, Transactions of the American Mathematical Society.

Difference of modular functions and their CM value factorization

Tonghai Yang, Hongbo Yin, 2017, 1711.02983.

Borcherds Products on Unitary Group $U(2,1)$

Tonghai Yang, Dongxi Ye, 2017, 1701.08436.

Singular Moduli Refined

Benjamin J. Howard, Tonghai Yang, 2012, 1202.6410.

On the pullback of an arithmetic theta function

Tonghai Yang, S. Kudla, 2011, 1106.4732.

An arithmetic intersection formula on Hilbert modular surfaces

Tonghai Yang, 2010, 1008.1853.

Arithmetic intersection on a Hilbert modular surface and the Faltings height

Tonghai Yang, 2010, 1008.1854.

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

Tonghai Yang, J. Bruinier, S. Kudla, 2010, 1008.1669.

Computing genus 2 curves from invariants on the Hilbert moduli space

Kristin E. Lauter, Tonghai Yang, K. Lauter, 2011, IACR Cryptol. ePrint Arch..

HILBERT THETA SERIES AND INVARIANTS OF GENUS 2 CURVES

Michael Naehrig, Kristin E. Lauter, K. Lauter, 2016 .

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

Benjamin J. Howard, Tonghai Yang, J. Bruinier, 2013, 1303.0549.

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

Tonghai Yang, Siddarth Sankaran, Yousheng Shi, 2022, 2206.05823.

Nonvanishing of Hecke L-functions and the Bloch–Kato conjecture

Byoung Du Kim, R. Masri, Tonghai Yang, 2011 .

The Chowla–Selberg Formula and The Colmez Conjecture

Tonghai Yang, 2010, Canadian Journal of Mathematics.

Faltings Heights and the Derivative of Zagier’s Eisenstein Series

Tonghai Yang, S. Kudla, 2004 .

Taylor expansion of an Eisenstein series

Tonghai Yang, 2003 .

On CM abelian varieties over imaginary quadratic fields

Tonghai Yang, 2003, math/0301306.

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

S. Miller, Tonghai Yang, 2000, math/0003114.

Deformations of Theta Integrals and A Conjecture of Gross-Zagier

Tonghai Yang, Yingkun Li, J. Bruinier, 2022, 2204.10604.

Kudla-Rapoport conjecture for Kr\"amer models

Tonghai Yang, Yousheng Shi, Qiao He, 2022, 2208.07992.

Local densities of 2-adic quadratic forms☆

Tonghai Yang, 2004 .

The Kudla-Rapoport conjecture at a ramified prime.

Tonghai Yang, Yousheng Shi, Qiao He, 2020, 2011.01356.

Eisenstein series for SL(2)

Tonghai Yang, S. Kudla, 2010 .

N T ] 2 6 O ct 2 00 1 Derivatives of Eisenstein series and Faltings heights

Tonghai Yang, S. Kudla, M. Rapoport, 2001 .

On the Derivative of an Eisenstein Series of Weight One

Tonghai Yang, S. Kudla, M. Rapoport, 1999 .

Intersections of Hirzebruch–Zagier Divisors and CM Cycles

Benjamin J. Howard, Tonghai Yang, 2012 .

Modular Forms and Special Cycles on Shimura Curves.

Tonghai Yang, S. Kudla, M. Rapoport, 2006 .

CM fields of Dihedral type and the Colmez conjecture

Tonghai Yang, Hongbo Yin, 2017, 1711.02988.

CM Number Fields and Modular Forms

Tonghai Yang, 2005 .

KUDLA-RAPOPORT CONJECTURE AT RAMIFIED PRIMES

Tonghai Yang, Yousheng Shi, 2021 .

Arithmetic degrees of special cycles and derivatives of Siegel Eisenstein series

Tonghai Yang, J. Bruinier, 2018, Journal of the European Mathematical Society.

Twisted arithmetic Siegel Weil formula on X0(N)

Tonghai Yang, Tuoping Du, 2018, Journal of Number Theory.

On the pullback of an arithmetic theta function

Tonghai Yang, S. Kudla, 2012, Manuscripta Mathematica.

Special Values of Green Functions at Big CM Points

Tonghai Yang, J. Bruinier, S. Kudla, 2011 .

HARMONIC WEAK MAASS FORMS , AUTOMORPHIC GREEN FUNCTIONS , AND PERIOD INTEGRALS

Tonghai Yang, 2011 .

Faltings heights of CM cycles and derivatives of L-functions

Tonghai Yang, J. Bruinier, 2008, 0807.0502.

CM-values of Hilbert modular functions

Jan Hendrik Bruinier, Tonghai Yang, Tonghai Yang, 2006 .

Modular Forms and Special Cycles on Shimura Curves. (AM-161)

Tonghai Yang, S. Kudla, M. Rapoport, 2006 .

CM-VALUES OF HILBERT MODULAR FUNCTIONS INVENT. MATH. 163(2006), 229-288

Jan Hendrik Bruinier, Tonghai Yang, Tonghai Yang, 2006 .

On the Central Derivative of Hecke L-Series☆

Tonghai Yang, 2000 .

An Explicit Formula for Local Densities of Quadratic Forms

Tonghai Yang, Tonghai Yang, 1998 .

DERIVATIVES OF EISENSTEIN SERIES AND GENERATING FUNCTIONS FOR ARITHMETIC CYCLES

Tonghai Yang, 2022 .

CENTRAL VALUES OF HECKE L-FUNCTIONS OF CM NUMBER FIELDS

Tonghai Yang, F. R. Villegas, 1999 .

Eigenfunctions of the Weil representation of unitary groups of one variable

Tonghai Yang, 1998 .

Heegner zeros of theta functions

Tonghai Yang, Jorge Jiménez-urroz, 2003 .

Nonvanishing of central Hecke L-values and rank of certain elliptic curves

Tonghai Yang, 1999, Compositio Mathematica.

Theta liftings and Hecke L-functions.

Tonghai Yang, 1997 .

Kudla–Rapoport conjecture for Krämer models

Tonghai Yang, Yousheng Shi, Qiao He, 2022, Compositio Mathematica.

A proof of the Kudla–Rapoport conjecture for Krämer models

Tonghai Yang, Yousheng Shi, Chao Li, 2022, Inventiones Mathematicae.

The Kudla-Rapoport conjecture at a ramified prime.

Tonghai Yang, Yousheng Shi, Qiao He, 2020, 2011.01356.

CHOWLA-SELBERG FORMULA AND COLMEZ’S CONJECTURE

Tonghai Yang, 2008 .

On a conjecture of Yui and Zagier

Tonghai Yang, Yingkun Li, 2019, Algebra & Number Theory.

Difference of modular functions and their CM value factorization

Tonghai Yang, Hongbo Yin, 2017, Transactions of the American Mathematical Society.

Borcherds Products on Unitary Group $U(2,1)$

Tonghai Yang, Dongxi Ye, 2017, 1701.08436.

Twisted Borcherds products on Hilbert modular surfaces and their CM values

Tonghai Yang, J. Bruinier, 2005, math/0505177.

Constructing Abelian Surfaces for Cryptography via Rosenhain Invariants

Craig Costello, Kristin E. Lauter, Tonghai Yang, 2014, IACR Cryptol. ePrint Arch..

Rational structure of X(N) over ℚ and explicit Galois action on CM points

Tonghai Yang, 2016 .

On the L‐Function of the Curves y2 = x5 + A

M. Stoll, Tonghai Yang, 2003 .

On the L-function of the Curves

M. Stoll, Tonghai Yang, 2003 .

Computationally feasible bounds for representations of integers by ternary quadratic forms and cm lifts of supersingular elliptic curves

Tonghai Yang, B. Kane, 2007 .

Reduction of CM elliptic curves and modular function congruences

N. Elkies, Tonghai Yang, K. Ono, 2005, math/0512350.

Nonvanishing of Hecke L-Functions for CM Fields and Ranks of Abelian Varieties

R. Masri, Tonghai Yang, 2011 .

Derivatives of Eisenstein series and Faltings heights

Tonghai Yang, S. Kudla, M. Rapoport, 2001, Compositio Mathematica.

Arithmetic Siegel–Weil formula on X0(N)

Tonghai Yang, Tuoping Du, 2019, Advances in Mathematics.