# Yifeng LIU

刘一峰

I am a Professor at the Institute of Advanced Study in Mathematics, Zhejiang University.

My research areas include Algebraic Number Theory, Automorphic Forms and Algebraic Geometry.

I received my doctorate degree from Columbia University in 2012, under the supervision of Shouwu Zhang.

My e-mail address is "liuyf0719[at]zju.edu.cn", and my CV can be found here.

Publications

[with Yichao Tian, Liang Xiao, Wei Zhang, and Xinwen Zhu] Deformation of rigid conjugate self-dual Galois representations

Acta Mathematica Sinica, English Series, to appear, arXiv:2108.06998Test functions for trilinear zeta integrals with regular support [in Chinese]

Acta Mathematica Sinica, Chinese Series, 67 (2024) 273—285[with Daniel Disegni] A p-adic arithmetic inner product formula

Inventiones Mathematicae, 236 (2024) 219—371[with Chao Li] Chow groups and L-derivatives of automorphic motives for unitary groups, II

Forum of Mathematics, Pi, 10 (2022) E5[with Yichao Tian, Liang Xiao, Wei Zhang, and Xinwen Zhu] On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives

Inventiones Mathematicae, 228 (2022) 107—375Theta correspondence for almost unramified representations of unitary groups

Journal of Number Theory, 230 (2022) 196—224[with Chao Li] Chow groups and L-derivatives of automorphic motives for unitary groups

Annals of Mathematics, 194 (2021) 817—901[with Raphaël Beuzart-Plessis, Wei Zhang, and Xinwen Zhu] Isolation of cuspidal spectrum, with application to the Gan-Gross-Prasad conjecture

Annals of Mathematics, 194 (2021) 519—584

Fourier-Jacobi cycles and arithmetic relative trace formula (with an appendix by Chao Li and Yihang Zhu)

Cambridge Journal of Mathematics, 9 (2021) 1—147

Mixed arithmetic theta lifting for unitary groups

Simons Symposia, Relative Trace Formulas (2021) 329—350

[with Yichao Tian] Supersingular locus of Hilbert modular varieties, arithmetic level raising, and Selmer groups

Algebra and Number Theory, 14 (2020) 2059—2119Tropical cycle classes for non-Archimedean spaces and weight decomposition of de Rham cohomology sheaves

Annales Scientifiques de l'École Normale Supérieure, 53 (2020) 291—352 | ErratumBounding cubic-triple product Selmer groups of elliptic curves

Journal of the European Mathematical Society, 21 (2019) 1411—1508Monodromy map for tropical Dolbeault cohomology

Algebraic Geometry, 6 (2019) 384—409[with Shouwu Zhang and Wei Zhang] A p-adic Waldspurger formula

Duke Mathematical Journal, 167 (2018) 743—833Hirzebruch-Zagier cycles and twisted triple product Selmer groups

Inventiones Mathematicae, 205 (2016) 693—780Refined Gan-Gross-Prasad conjecture for Bessel periods

Journal für die reine und angewandte Mathematik, 717 (2016) 133—194Relative trace formulae toward Bessel and Fourier-Jacobi periods of unitary groups

Manuscripta Mathematica, 145 (2014) 1—69[with Binyong Sun] Uniqueness of Fourier-Jacobi models: the Archimedean case

Journal of Functional Analysis, 265 (2013) 3325—3344On quadratic distinction of automorphic sheaves

International Mathematics Research Notices, 2012 (2012) 5328—5360A non-archimedean analogue of Calabi-Yau theorem for totally degenerate abelian varieties

Journal of Differential Geometry, 89 (2011) 87—110Arithmetic theta lifting and L-derivatives for unitary groups, II

Algebra and Number Theory, 5 (2011) 923—1000Arithmetic theta lifting and L-derivatives for unitary groups, I

Algebra and Number Theory, 5 (2011) 849—921

Preprints

Anticyclotomic p-adic L-functions for Rankin-Selberg product

arXiv:2306.07039

[with Weizhe Zheng] Enhanced adic formalism and perverse t-structures for higher Artin stacks

arXiv:1404.1128

[with Weizhe Zheng] Enhanced six operations and base change theorem for Artin stacks

arXiv:1211.5948

[with Weizhe Zheng] Gluing restricted nerves of ∞-categories

arXiv:1211.5294