**Liu, Yifeng**

Professor of Mathematics

Department of Mathematics

Yale University

Email: yifeng dot liu at yale dot edu

Office: DL 410

DUS Office Hours: M 1-2 PM, T 10-11 AM

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

Here is my Curriculum Vitae.

**Research articles**

Chow groups and

*L*-derivatives of automorphic motives for unitary groups

PDF (with Chao Li) preprint (last update: 2020/06)

Theta correspondence for almost unramified representations of unitary groups

PDF preprint (last update: 2020/02)

On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives

PDF (with Yichao Tian, Liang Xiao, Wei Zhang, and Xinwen Zhu) preprint (last update: 2019/12)

Isolation of cuspidal spectrum, with application to the Gan-Gross-Prasad conjecture

PDF (with Raphaël Beuzart-Plessis, Wei Zhang, and Xinwen Zhu) preprint (last update: 2019/12)

Fourier-Jacobi cycles and arithmetic relative trace formula

PDF (with an appendix by Chao Li and Yihang Zhu) preprint (last update: 2018/07)

Enhanced adic formalism and perverse t-structures for higher Artin stacks

PDF (with Weizhe Zheng) preprint (last update: 2017/09)

Enhanced six operations and base change theorem for Artin stacks

PDF (with Weizhe Zheng) preprint (last update: 2017/09)

Gluing restricted nerves of infinity categories

PDF (with Weizhe Zheng) preprint (last update: 2015/06)

Supersingular locus of Hilbert modular varieties, arithmetic level raising, and Selmer groups

PDF (with Yichao Tian)*Algebra and Number Theory*, to appear

Mixed arithmetic theta lifting for unitary groups

PDF*Simons Symposia*, to appear

Tropical cycle classes for non-Archimedean spaces and weight decomposition of de Rham cohomology sheaves

PDF*Annales Scientifiques de l'École Normale Supérieure*, to appear

Bounding cubic-triple product Selmer groups of elliptic curves

PDF*Journal of the European Mathematical Society*,**21**(2019) 1411-1508

Monodromy map for tropical Dolbeault cohomology

PDF*Algebraic Geometry*,**6**(2019) 384-409

A

*p*-adic Waldspurger formula

PDF (with Shouwu Zhang and Wei Zhang)*Duke Mathematical Journal*,**167**(2018) 743-833

Hirzebruch-Zagier cycles and twisted triple product Selmer groups

PDF*Inventiones Mathematicae*,**205**(2016) 693-780

Refined Gan-Gross-Prasad conjecture for Bessel periods

PDF*Journal für die reine und angewandte Mathematik*,**717**(2016) 133-194

Relative trace formulae toward Bessel and Fourier-Jacobi periods of unitary groups

PDF*Manuscripta Mathematica*,**145**(2014) 1-69

Uniqueness of Fourier-Jacobi models: the Archimedean case

PDF (with Binyong Sun)*Journal of Functional Analysis*,**265**(2013) 3325-3344

On quadratic distinction of automorphic sheaves

PDF*International Mathematics Research Notices*,**2012**(2012) 5328-5360

A non-archimedean analogue of Calabi-Yau theorem for totally degenerate abelian varieties

PDF*Journal of Differential Geometry*,**89**(2011) 87-110

Arithmetic theta lifting and

*L*-derivatives for unitary groups II.

PDF*Algebra and Number Theory*,**5**(2011) 923-1000

Arithmetic theta lifting and

*L*-derivatives for unitary groups I.

PDF*Algebra and Number Theory*,**5**(2011) 849-921

Tropical Dolbeault cohomology of non-Archimedean spaces

PDF*Simons Symposium 2017: Nonarchimedean and tropical geometry*

Survey on automorphic period for general Bessel model

PDF*Proceedings of The 6th International Congress of Chinese Mathematics*(2016)

PhD Thesis: Arithmetic inner product formula for unitary groups

PDF (single-space) PDF (double-space) Columbia University (2012)

**Teaching (Yale University)**

Spring 2020: MATH 698, Topics in Algebraic Number Theory II.

Fall 2019: MATH 697, Topics in Algebraic Number Theory I.

Fall 2018: MATH 380a, Modern Algebra I.