Assistant Professor CAI Yuanqing
Faculty, Affiliation
Faculty of Mathematics and Physics, Institute of Science and Engineering
College and School Educational Field
Division of Mathematical and Physical Science, Graduate School of Natural Science and Technology
Course in Mathematics, School of Mathematics and Physics, College of Science and Engineering
Laboratory
Academic Background
【Academic background(Doctoral/Master's Degree)】
Boston College Doctor 201708 Completed
【Degree】
Ph.D. in Mathematics
Career
Kanazawa University Assistant Professor(2021/01-)
Kyoto University Graduate School of Science JSPS Postdoctoral Fellow(2019/05-2021/01)
Weizmann Institute of Science (Israel) Postdoctoral fellow(2017/08-2019/04)
Year & Month of Birth
Academic Society
Award
○Excellent Young Researcher(2020/10)
Specialities
Algebra
Speciality Keywords
Representation theory, Automorphic representations, L-functions
Research Themes
Automorphic representations on reductive groups and their Brylinski-Deligne K2 extensions
Books
Papers
- Quaternionic Speh Representations Yuanqing Cai Doc. Math. 2023
- The generalized doubling method: $(k,c)$ models Yuanqing Cai, Solomon Friedberg, Dmitry Gourevitch, Eyal Kaplan Proc. Amer. Math. Soc. 151 7 2831-2845 2023
- The generalized doubling method: local theory Yuanqing Cai, Solomon Friedberg, Eyal Kaplan Geom. Funct. Anal. 32 6 1233 - 1333 2022
- Twisted doubling integrals for Brylinski-Deligne extensions of classical groups Yuanqing Cai J. Inst. Math. Jussieu 22 1931-1985 2023
- Twisted doubling integrals for classical groups Yuanqing Cai Math. Z. 297 1075-1104 2021
- Speh representations over central division algebras Yuanqing Cai 2021
- On the crystal graph description of the stable Weyl group multiple Dirichlet series Yuanqing Cai J. Number Theory 215 186-215 2020
- Unramified Whittaker functions for certain Brylinski-Deligne covering groups Yuanqing Cai Forum Math. 32 207-233 2020
- Doubling constructions and tensor product L-functions: the linear case Yuanqing Cai, Solomon Friedberg, David Ginzburg, Eyal Kaplan Invent. Math. 217 985-1068 2019
- Fourier coefficients for Theta representations on covers of general linear groups Yuanqing Cai Trans. Amer. Math. Soc. 371 7585-7626 2019
- Fourier coefficients for degenerate Eisenstein series and the descending decomposition Yuanqing Cai Manuscripta Math. 156 469-501 2018
Conference Presentations
- On the trace formula for covering groups(conference：Representation Theory and Number Theory)(2024/02/15)
- Doubling constructions for Brylinski-Deligne extensions of classical groups (conference：大阪大学整数論&保型形式セミナー)(2022/11/18)
- Doubling integrals for Brylinski-Deligne extensions of classical groups (conference：Algebra and Number Theory Seminar)(2021/04/20)
- Doubling integrals for Brylinski-Deligne extensions of classical groups(conference： Geometry, Number Theory and Representation Theory seminar)(2021/04)
Others
Arts and Fieldwork
Patent
Theme to the desired joint research
○Automorphic representations on Brylinski-Deligne K2 extensions of reductive groups