Top degree Ext-groups and relatively supercuspidal spectra
Li Cai · Yangyu Fan · Advances in Mathematics 410 (2022), 108744
Mathematician · Number theory · Beijing Institute of Technology
Number theory, p-adic methods, automorphic representations, and arithmetic geometry.
My research is in number theory, with a focus on the representation theory of p-adic groups and arithmetic aspects of automorphic forms.
I am a pre-tenure assistant professor in the School of Mathematics and Statistics at Beijing Institute of Technology. My work concerns Ext-groups, spherical varieties, periods, and families of representations, together with related questions involving Euler systems and p-adic L-functions.
I received my Ph.D. from the University of Milan in 2018, after studying at Sichuan University and the University of Chinese Academy of Sciences. Before joining BIT, I held postdoctoral positions at the Morningside Center of Mathematics and Capital Normal University.
A record of work in number theory.
Papers, preprints, and doctoral thesis.
Li Cai · Yangyu Fan · Advances in Mathematics 410 (2022), 108744
Li Cai · Yangyu Fan · Mathematical Research Letters 30 (2023), 33–49
Li Cai · Yangyu Fan · Mathematische Annalen 389 (2024), 209–252
Li Cai · Yangyu Fan · Comptes Rendus Mathématique 362 (2024), 1097–1107
Li Cai · Yangyu Fan · Yong Jiang · Journal of Number Theory 266 (2025), 195–224
Yangyu Fan · Wenbin Luo · Binggang Qu · Advances in Mathematics 480 (2025), 110508
Li Cai · Yangyu Fan · Forum Mathematicum 38 (2026), 61–71
Yangyu Fan · Xin Wan · Preprint, 2023; revised 2026
Li Cai · Yangyu Fan · Shilin Lai · Preprint, 2024
Li Cai · Yangyu Fan · Dongming She · Preprint, 2025
Yangyu Fan · Università degli Studi di Milano, 2018
Informal working documents for understanding and digesting ideas.
Correspondence