Yuanqing Cai 蔡 園青

Department of Mathematics, Hokkaido University

Sapporo, Hokkaido, 060-0810, Japan

Email: cai [at] math.sci.hokudai.ac.jp

The 24th Autumn Workshop on Number Theory, Sapporo, October 30 - November 3, 2023

The 25th Autumn Workshop on Number Theory, Sapporo, October 28 - November 1, 2024

Positions and Education

• Associate Professor, Hokkaido University, Japan, Sep. 2024 - present

• Assistant Professor, Kanazawa University, Japan, Jan. 2021 - Aug. 2024

• JSPS Postdoctoral Fellow, Kyoto University, Japan, May 2019 - Jan. 2021

• Postdoctoral Fellow, Weizmann Institute of Science, Israel, Aug. 2017 - Apr. 2019

• Ph.D. in Mathematics, Boston College, USA, Aug. 2017

Publications

• Doubling constructions: global functoriality for non-generic cuspidal representations (with Solomon Friedberg and Eyal Kaplan),

Ann. of Math. to appear.

• Quaternionic Speh Representations 

Doc. Math. 28 (2023), pp. 903–937.  

• Twisted doubling integrals for Brylinski-Deligne extensions of classical groups

J. Inst. Math. Jussieu 22 (2023), pp. 1931-1985.

• The generalized doubling method: $(k,c)$ models (with Solomon Friedberg, Dmitry Gourevitch and Eyal Kaplan) 

Proc. Amer. Math. Soc. 7 (2023), pp. 2831–2845.  

• The generalized doubling method: local theory (with Solomon Friedberg and Eyal Kaplan)

 Geom. Funct. Anal. 32 (2022), pp. 1233-1333.

• Twisted doubling integrals for classical groups

 Math. Z. 297 (2021), pp. 1075-1104. 

• On the crystal graph description of the stable Weyl group multiple Dirichlet series

 J. Number Theory 215 (2020), pp. 186-215.

• Unramified Whittaker functions for certain Brylinski-Deligne covering groups

 Forum Math. 32 (2020), pp. 207-233.

• Doubling constructions and tensor product L-functions: the linear case (with Solomon Friedberg, David Ginzburg and Eyal Kaplan)

 Invent. Math. 217 (2019), pp. 985-1068.

• Fourier coefficients for Theta representations on covers of general linear groups 

Trans. Amer. Math. Soc. 371 (2019), pp. 7585-7626.

• Fourier coefficients for degenerate Eisenstein series and the descending decomposition 

Manuscripta Math. 156 (2018), pp. 469-501.

Preprints

• Doubling constructions: local and global theory, with an application to global functoriality for non-generic cuspidal representations (with Solomon Friedberg and Eyal Kaplan).

Other writing

• Doubling constructions for covering groups and tensor product L-functions (with Solomon Friedberg, David Ginzburg and Eyal Kaplan), research announcement.

Link

• Autumn Workshop on Number Theory

• Hokuriku Number Theory Seminar

• Number Theory Seminar@Hokkaido University