Mathematician · Number theory · Beijing Institute of Technology

p-adic methods,
automorphic forms,
and arithmetic geometry.

Based at Beijing Institute of Technology Research in number theory · p-adic methods

About

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.

Position
Pre-tenure Assistant Professor
Department
Mathematics & Statistics
Institution
Beijing Institute of Technology
Academic path
Sichuan · UCAS · Milan

Research

A record of work in number theory.

Selected work

Papers, preprints, and doctoral thesis.

Published papers

Top degree Ext-groups and relatively supercuspidal spectra

Li Cai · Yangyu Fan · Advances in Mathematics 410 (2022), 108744

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Higher Ext-groups in the triple product case

Li Cai · Yangyu Fan · Mathematical Research Letters 30 (2023), 33–49

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Families of canonical local periods on spherical varieties

Li Cai · Yangyu Fan · Mathematische Annalen 389 (2024), 209–252

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Multiplicities of Representations in Algebraic Families

Li Cai · Yangyu Fan · Comptes Rendus Mathématique 362 (2024), 1097–1107

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Ichino periods for CM forms

Li Cai · Yangyu Fan · Yong Jiang · Journal of Number Theory 266 (2025), 195–224

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Arakelov geometry on flag varieties over function fields and related topics

Yangyu Fan · Wenbin Luo · Binggang Qu · Advances in Mathematics 480 (2025), 110508

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Spherical characters in families: the unitary Gan–Gross–Prasad case

Li Cai · Yangyu Fan · Forum Mathematicum 38 (2026), 61–71

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Preprints

p-adic Waldspurger formula for non-split primes and the converse of Gross–Zagier–Kolyvagin

Yangyu Fan · Xin Wan · Preprint, 2023; revised 2026

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Euler systems and relative Satake isomorphism

Li Cai · Yangyu Fan · Shilin Lai · Preprint, 2024

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Co-periods and central symmetric cube L-values

Li Cai · Yangyu Fan · Dongming She · Preprint, 2025

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Doctoral thesis

Local expansion in Serre–Tate coordinates and p-adic iteration of Gauss–Manin connections

Yangyu Fan · Università degli Studi di Milano, 2018

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Correspondence

yangyu.fan@bit.edu.cn