Shih-Yu Chen 陳昰宇

Assistant Professor

Department of Mathematics, National Tsing Hua University, 101, Section 2, Kuang-Fu Road, Hsinchu, Taiwan, R.O.C.

Email: sychen.math@gmail.com

Publications and Preprints

  1. Betti–Whittaker periods under duality: variations and applications, (with Giancarlo Castellano, Nasit Darshan, and A. Raghuram), Preprint.

  2. Whittaker functions on GLn via theta lifting, (with Yao Cheng), Preprint.

  3. Algebraicity of adjoint L-functions for quasi-split groups, Preprint.

  4. Algebraicity of ratios of Rankin–Selberg L-functions and applications to Deligne's conjecture, Annals of Mathematics, to appear.

  5. Period relations between the Betti–Whittaker periods for GLn under duality, International Mathematics Research Notices 2024 (2024), 11032–11063.

  6. On Deligne's conjecture for symmetric fourth L-functions of Hilbert modular forms, Advances in Mathematics 414 (2023), 108860.

  7. On Petersson norms of generic cusp forms and special values of adjoint L-functions for GSp4, (with Atsushi Ichino), American Journal of Mathematics 145 (2023), 899–993.

  8. Algebraicity of critical values of triple product L-functions in the balanced case, Pacific Journal of Mathematics 321 (2022), 73–118.

  9. Algebraicity of critical values of adjoint L-functions for GSp4, The Ramanujan Journal 59 (2022), 883–931.

  10. On Deligne's conjecture for symmetric fifth L-functions of modular forms, Forum Mathematicum 34 (2022), 831–849.

  11. Algebraicity of the near central non-critical values of symmetric fourth L-functions for Hilbert modular forms, Journal of Number Theory 231 (2022), 269–315.

  12. Algebraicity of the central critical values of twisted triple product L-functions, Annales mathématiques du Québec 47 (2023), 403–442.

  13. Gamma factors for the Asai cube representation, Mathematische Zeitschrift 297 (2021), 747–773.

  14. On Deligne's conjecture for certain automorphic L-functions for GL(3) x GL(2) and GL(4), (with Yao Cheng), Documenta Mathematica 24 (2019), 2241–2297.

  15. Gamma factors for the Asai representation of GL2, (with Yao Cheng and Isao Ishikawa), Journal of Number Theory 209 (2020), 83–146.

  16. Pullback formulae for nearly holomorphic Saito–Kurokawa lifts, Manuscripta Mathematica 161 (2020), 501–561.

  17. On primitive p-adic Rankin–Selberg L-functions, (with Ming-Lun Hsieh), Development of Iwasawa Theory — The Centennial of K. Iwasawa's Birth, Advanced Studies in Pure Mathematics 86 (2020), 195–242.