Averages and Nonvanishing of Central Values of Triple Product L-Functions.
Accepted by Israel Journal of Mathematics, 2025. [arXiv]
An explicit Watson-Ichino formula with CM newforms.
Acta Arithmatica, 203(1):25-58, 2024. [DOI] [arXiv]
On the analytic strong multiplicity one for SL(2).
International Journal of Number Theory, 19(10):2419-2426, 2023. [DOI]
Averages and Nonvanishing of Central Values of Triple Product L-Functions via the Relative Trace Formula Functions.
PhD Thesis, 2020. CUNY Academic Works. [PDF]
From Summer 2016 to Spring 2019, I co-organized the Automorphic Forms and L-functions Student Seminar at the Graduate Center, CUNY.
From Fall 2009 to Spring 2014, I co-organized the Pure Math Student Seminar of Shandong University.
Local Langlands conjecture [PDF]
March 2024, Shandong University, Jinan, Shandong, China.
Baby case of the Arthur-Selberg trace formula [Slides]
July 2022, Shandong University, Jinan, Shandong, China.
Relative trace formula and averages of central values of triple product L-functions [Slides]
March 2021, Shandong University, Jinan, Shandong, China.
Proof sketch of the Jacquet-Langlands correspondence [PDF]
December 2020, Shandong University, Jinan, Shandong, China.
Averages of central values of triple product L-functions
March 2020, Binghamton University, Binghamton, NY, USA.
Averages of central values of triple product L-functions
Junior Number Theory Days, December 7-8, 2019, Johns Hopkins University, Baltimore, MD, USA.
Averages of central values of triple product L-functions [Slides]
2019 Maine/Québec Number Theory Conference, October 5-6, 2019, The University of Maine, Orono, ME, USA.
An introduction to the Jacquet-Langlands correspondence and the relative trace formula
May 2019, Shandong University, Jinan, Shandong, China.
Exact averages of central values of triple product L-functions via the relative trace formula [Slides]
33rd Automorphic Forms Workshop, March 6-10, 2019, Duquesne University, Pittsburgh, PA, USA.