Researcher basic information

• PhD in Mathematics, Boston College, Aug. 2017

• https://researchmap.jp/yuanqing-cai?lang=en

• https://jglobal.jst.go.jp/detail?JGLOBAL_ID=202101017144540666
• https://orcid.org/0000-0003-1156-6766

• https://orcid.org/0000-0003-1156-6766

• 202101017144540666

• covering groups
• Twisted doubling法
• L-functions
• Automorphic representations

• Bachelor's degree program, School of Science
• Master's degree program, Graduate School of Science
• Doctoral (PhD) degree program, Graduate School of Science

Research activity information

• Oct. 2020, 文部科学省, 卓越研究員

• Doubling constructions: Global functoriality for non-generic cuspidal representations
  Yuanqing Cai; Solomon Friedberg; Eyal Kaplan
  Annals of Mathematics, 01 Nov. 2024, [Peer-reviewed], ［Internationally co-authored］, [International Magazine]
  Scientific journal
• The generalized doubling method: (��,��) models
  Yuanqing Cai; Solomon Friedberg; Dmitry Gourevitch; Eyal Kaplan
  Proceedings of the American Mathematical Society, American Mathematical Society ({AMS}), 31 Mar. 2023
  English, Scientific journal,

  One of the key ingredients in the recent construction of the generalized doubling method is a new class of models, called
  
  
  
  (
  k
  ,
  c
  )
  
  (k,c)
  
  
  models, for local components of generalized Speh representations. We construct a family of
  
  
  
  (
  k
  ,
  c
  )
  
  (k,c)
  
  
  representations, in a purely local setting, and discuss their realizations using inductive formulas. Our main result is a uniqueness theorem which is essential for the proof that the generalized doubling integral is Eulerian.

• The generalized doubling method: local theory
  Yuanqing Cai; Yuanqing Cai; Solomon Friedberg; Eyal Kaplan
  Geometric and Functional Analysis, Springer Science and Business Media {LLC}, 29 Sep. 2022
  English, Scientific journal
• TWISTED DOUBLING INTEGRALS FOR BRYLINSKI–DELIGNE EXTENSIONS OF CLASSICAL GROUPS
  Yuanqing Cai
  Journal of the Institute of Mathematics of Jussieu, 01 Dec. 2021
  Scientific journal
• On the crystal graph description of the stable Weyl group multiple Dirichlet series
  Yuanqing Cai
  Journal of Number Theory, 215, 186, 215, Elsevier {BV}, Oct. 2020
  Scientific journal
• Twisted doubling integrals for classical groups
  Yuanqing Cai
  Mathematische Zeitschrift, 16 Jun. 2020
  English, Scientific journal
• Unramified Whittaker functions for certain Brylinski–Deligne covering groups
  Yuanqing Cai
  Forum Mathematicum, 0, 0, Walter de Gruyter {GmbH}, 01 Jan. 2020
  Scientific journal
• Doubling constructions and tensor product L-functions: the linear case
  Yuanqing Cai; Solomon Friedberg; David Ginzburg; Eyal Kaplan
  Inventiones mathematicae, Sep. 2019
  English, Scientific journal
• Fourier Coefficients for Degenerate Eisenstein Series and the Descending Decomposition
  Yuanqing Cai
  Manuscripta Math., 156, 3-4, 469, 501, Springer Science and Business Media {LLC}, 03 Jul. 2018
  Scientific journal
• Fourier Coefficients for Theta Representations on Covers of General Linear Groups
  Yuanqing Cai
  Transactions of the American Mathematical Society, Oct. 2017
  Scientific journal
• Theta representations on covering groups
  Yuanqing Cai
  07 Sep. 2017, [International Magazine]
  English, Doctoral thesis

• 代数学講義, 2024年, 修士課程, 理学院
• 代数学続論, 2024年, 学士課程, 理学部
• 線形代数学Ⅱ, 2024年, 学士課程, 全学教育

• Research on trace formulas for covering groups of reductive algebraic groups
  Grants-in-Aid for Scientific Research
  01 Apr. 2023 - 31 Mar. 2028
  蔡 園青
  Japan Society for the Promotion of Science, Grant-in-Aid for Early-Career Scientists, Kanazawa University, 23K12951