# Yifeng LIU

刘一峰

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

My research areas are 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.

**Preprints**

[with Daniel Disegni] A

*p*-adic arithmetic inner product formula

arXiv:2204.09239[with Yichao Tian, Liang Xiao, Wei Zhang, and Xinwen Zhu] Deformation of rigid conjugate self-dual Galois representations

arXiv:2108.06998

[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

**Publications**

[with Chao Li] Chow groups and

*L*-derivatives of automorphic motives for unitary groups, II**Forum of****Mathematic**, 10 (2022) E5**s, Pi**[with Yichao Tian, Liang Xiao, Wei Zhang, and Xinwen Zhu] On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives

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

, 230 (2022) 196—224**Journal of Number Theory**[with Chao Li] Chow groups and

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

, 194 (2021) 519—584**Annals of Mathematics**

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

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

Mixed arithmetic theta lifting for unitary groups

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

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

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

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

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

, 6 (2019) 384—409**Algebraic Geometry**[with Shouwu Zhang and Wei Zhang] A

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

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

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

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

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

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

, 89 (2011) 87—110**Journal of Differential Geometry**Arithmetic theta lifting and

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

*L*-derivatives for unitary groups, I, 5 (2011) 849—921**Algebra and Number Theory**