Yuanqing Cai 蔡 園青
Faculty of Mathematics and Physics, Institute of Science and Engineering
Kanazawa University
Kakumamachi, Kanazawa, Ishikawa, 920-1192, Japan.
Email: cai [at] se.kanazawa-u.ac.jp
24th Autumn Workshop on Number Theory, Sapporo, October 30 - November 3, 2023
25th Autumn Workshop on Number Theory, Sapporo, October 28 - November 1, 2024
Positions and Education
Assistant Professor, Kanazawa University, Japan, Jan. 2021 - present
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
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.
Other writing
Doubling constructions for covering groups and tensor product L-functions (with Solomon Friedberg, David Ginzburg and Eyal Kaplan), research announcement.