My name is Gyucheol Shin (신규철, 申奎澈). I am a postdoctoral researcher at Sungkyunkwan University. My research interests lie in number theory, particularly in modular forms and related topics.
E-mail : s g c X (at) g m a i l (dot) c o m
where X is the smallest positive integer congruent to 0 modulo 2, 13, and 307.
Education
B.S. in Mathematics and Physics, Sungkyunkwan University, Aug 2017
Ph. D. in Mathematics, Sungkyunkwan University, Feb 2025 (Advisor : Chang Heon Kim)
Employment
BK Postdoctoral Researcher, Department of mathematics, Sungkyunkwan University, Mar 2025-Dec 2025
Postdoctoral Researcher, KNU Research Institute for Mathematical Sciences, Kangwon National University, Jan 2026-present
Publications and Preprints
Algebraicity of weakly holomorphic modular functions at divisors of meromorphic modular forms for certain Fuchsian groups, submitted (with Chang Heon Kim)
Multiplicative Hecke operators and their applications II, submitted (with Chang Heon Kim) arXiv
Extended modular functions and definite form class groups, J. Number Theory 280, 808-824, (2026) (with Ho Yun Jung, Ja Kyung Koo and Dong Hwa Shin) journal
Note on an explicit formula of Rademacher symbols for triangle groups, Proc. Amer. Math. Soc. 153, no. 9, 3713-3721, (2025) (with Toshiki Matsusaka) arXiv, journal
Quasi-modularity in MacMahon partition variants and prime detection, Ramanujan J. 67, no. 81, 23pp, (2025) (with Soon-Yi Kang and Toshiki Matsusaka) arXiv, journal
Multiplicative Hecke operators and their applications, J. Math. Anal. Appl, 543(2), no. 129002, 26pp, (2025) (with Chang Heon Kim) arXiv, journal
Research Talks
Modular forms, partition functions, and prime-detector, KRIMS Workshop, KRIMS, Nov 2025
Quasi-modularity in MacMahon partition variants and prime detection, 7th Workshop on Number Theory and Algebra, IBS, July 2025
Modular knots and Rademacher symbols, 2025 YMS and CMS Joint Annual Meeting, Kyungpook National University, June 2025
Quasi-modularity in MacMahon partition variants and prime detection, The 8th workshop on Algebra with Related Topics, Kyungpook National University, May 2025
On the infinite product expansion of modular forms, KIAS Number Theory Seminar, KIAS, July 2024
On the infinite product expansion of meromorphic modular forms, CMS Conference and Annual Meeting, Kongju National University, June 2024
Multiplicative Hecke operators and their applications, Annual Number Theory Workshop 2024, Yonsei University, Feb 2024
Algebraicity of weakly holomorphic modular functions at divisors of meromorphic modular forms for certain Fuchsian groups, KMS Special Conference with 2022 Fields Medalists, Seoul National University, Oct 2023
Algebraicity of weakly holomorphic modular functions at divisors of meromorphic modular forms for certain Fuchsian groups, 2023 Annual Meeting of The KKMS, Gangneung-Wonju National University, June 2023
The formula for the exponents in the infinite product expansions of meromorphic modular forms for certain Fuchsian groups, AORC monthly seminars in 2022, Sungkyunkwan University, Feb 2022
Language skills
Korean (native)
English (advanced)
Japanese (intermediate, JLPT N2 level)