Yifeng LIU

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:2108.06998

• Test 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—375

• Theta 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—2119

• Tropical 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 | Erratum

• Bounding cubic-triple product Selmer groups of elliptic curves
  Journal of the European Mathematical Society, 21 (2019) 1411—1508

• Monodromy 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—833

• Hirzebruch-Zagier cycles and twisted triple product Selmer groups
  Inventiones Mathematicae, 205 (2016) 693—780

• Refined Gan-Gross-Prasad conjecture for Bessel periods
  Journal für die reine und angewandte Mathematik, 717 (2016) 133—194

• Relative 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—3344

• On quadratic distinction of automorphic sheaves
  International Mathematics Research Notices, 2012 (2012) 5328—5360

• A non-archimedean analogue of Calabi-Yau theorem for totally degenerate abelian varieties
  Journal of Differential Geometry, 89 (2011) 87—110

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

• Arithmetic 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