Welcome to Yifeng Liu's personal page

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About me:

Professor at the IASM, Zhejiang University in Hangzhou, China

Working in Algebraic Number Theory, Automorphic Forms and Algebraic Geometry

Receiving PhD from Columbia University in 2012, with advisor Shouwu Zhang

Email me at "liuyf0719[at]zju.edu.cn"; and find my CV here

Preprints:

Bessel periods and Selmer groups over ordinary Rankin–Selberg eigenvariety
     arXiv:2412.18881

[+Y. Tian, L. Xiao] Iwasawa's main conjecture for Rankin–Selberg motives in the anticyclotomic case
     arXiv:2406.00624

[+W. Zheng] Enhanced six operations and base change theorem for Artin stacks
     arXiv:1211.5948 (the newest version amalgamates 1211.5294 and 1404.1128)

Publications:

Anticyclotomic p-adic L-functions for Rankin–Selberg product
     arXiv:2306.07039, to appear in the Proceedings volume for Bertolini's 60th birthday

[+Y. Tian, L. Xiao, W. Zhang, X. Zhu] Deformation of rigid conjugate self-dual Galois representations
     Acta Mathematica Sinica, English Series 40 (2024) pp.599–1644

Test functions for trilinear zeta integrals with regular support [in Chinese]
     Acta Mathematica Sinica, Chinese Series 67 (2024) pp.273–285

[+D. Disegni] A p-adic arithmetic inner product formula
     Inventiones mathematicae 236 (2024) pp.219–371

[+C. Li] Chow groups and L-derivatives of automorphic motives for unitary groups, II
     Forum of Mathematics, Pi 10 (2022) E5

[+Y. Tian, L. Xiao, W. Zhang, X. Zhu] On the Beilinson–Bloch–Kato conjecture for Rankin–Selberg motives
     Inventiones mathematicae 228 (2022) pp.107–375

Theta correspondence for almost unramified representations of unitary groups
     Journal of Number Theory 230 (2022) pp.196–224

[+C. Li] Chow groups and L-derivatives of automorphic motives for unitary groups, I
     Annals of Mathematics 194 (2021) pp.817–901

[+R. Beuzart-Plessis, W. Zhang, X. Zhu] Isolation of cuspidal spectrum, with application to the Gan–Gross–Prasad conjecture
     Annals of Mathematics 194 (2021) pp.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) pp.1–147

Mixed arithmetic theta lifting for unitary groups
     Simons Symposia Relative Trace Formulas (2021) pp.329–350

[+Y. Tian] Supersingular locus of Hilbert modular varieties, arithmetic level raising, and Selmer groups
     Algebra and Number Theory 14 (2020) pp.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) pp.291–352 (Erratum)

Bounding cubic-triple product Selmer groups of elliptic curves
     Journal of the European Mathematical Society 21 (2019) pp.1411–1508

Monodromy map for tropical Dolbeault cohomology
     Algebraic Geometry 6 (2019) pp.384–409

[+S. Zhang, W. Zhang] A p-adic Waldspurger formula
     Duke Mathematical Journal 167 (2018) pp.743–833

Hirzebruch–Zagier cycles and twisted triple product Selmer groups
     Inventiones mathematicae 205 (2016) pp.693–780

Refined Gan–Gross–Prasad conjecture for Bessel periods
     Journal für die reine und angewandte Mathematik 717 (2016) pp.133–194

Relative trace formulae toward Bessel and Fourier–Jacobi periods of unitary groups
     Manuscripta Mathematica 145 (2014) pp.1–69

[+B. Sun] Uniqueness of Fourier–Jacobi models: the Archimedean case
     Journal of Functional Analysis 265 (2013) pp.3325–3344

On quadratic distinction of automorphic sheaves
     International Mathematics Research Notices 2012 (2012) pp.5328–5360

A non-archimedean analogue of Calabi–Yau theorem for totally degenerate abelian varieties
     Journal of Differential Geometry 89 (2011) pp.87–110

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

Arithmetic theta lifting and L-derivatives for unitary groups, I
     Algebra and Number Theory 5 (2011) pp.849–921