Positions and Education
- Associate Professor, POSTECH, Mar. 2023 -
- Assistant Professor, POSTECH, Feb. 2018 - Feb. 2023
- JSPS Postdoctoral Fellow, Kyoto University, Sep. 2016 - Feb. 2018
Supervisor : Tamotsu Ikeda
- Postdoctoral Fellow, University of Toronto, Aug. 2013 - July 2016
Supervisor : Stephen Kudla
- Part-Time Lecturer, Northeastern University, Sep. 2012 -April 2013
- Ph.D., Mathematics, Purdue University, Aug. 2012
Advisor : Jiu-Kang Yu
Preprints and Publications
[18] Ideal class monoids of cubic orders (with Jungtaek Hong and Yuchan Lee), preprint, 44 pages, submitted
[17] Global geometrization of local smooth integral models in the Hitchin fibration for GL_n: The Bass case (with Jungtaek Hong), 32 pages, submitted
[16] Estimation of the Jacquet-Rallis orbital integral (with Taeyeoup Kang), 53 pages, preprint
[15] An upper bound for the size of the ideal class monoid (with Jungtaek Hong and Yuchan Lee), preprint, 20 pages, submitted
[14] Orbital integrals and ideal class monoids for a Bass order (with Jungtaek Hong and Yuchan Lee), preprint, 46 pages, submitted
[13] An explicit formula for the orbital integrals on the spherical Hecke algebra of GL_3 (with Yuchan Lee), 17 pages, submitted
[12] Stable orbital integrals for classical Lie algebras and smooth integral models (with Taeyeoup Kang and Yuchan Lee), 139 pages, submitted
[11] Orbital integrals for gl_n and smooth integral models (with Yuchan Lee), 79 pages, merged into the above preprint
[10] On the Siegel series in terms of lattice counting (with Taeyeoup Kang), 24 pages, to appear in Kyoto Journal of Mathematics
[9] An explicit formula for the extended Gross-Keating datum of a quadratic form (with Tamotsu Ikeda, Hidenori Katsurada, Chul-hee Lee, Takuya Yamauchi), Mathematics of Computation, Volume 94, Number 353, pages 1503–1541, 2025
[8] An inductive formula for the Gross-Keating invariant of a quadratic form (with Tamotsu Ikeda, Hidenori Katsurada, Chul-hee Lee, Takuya Yamauchi), Tohoku Mathematical Journal Vol. 77, pages 55–75, 2025
[7] Derivatives of Eisenstein series of weight 2 and intersections of modular correspondences (with Shunsuke Yamana and Takuya Yamauchi), Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 92, pages 27–52, 2022
[6] A reformulation of the Siegel series and intersection numbers (with Takuya Yamauchi), Mathematische Annalen 377(3), pages 1757-1826, 2020
[5] On the local density formula and the Gross-Keating invariant (with an appendix by Tamotsu Ikeda and Hidenori Katsurada), Mathematische Zeitschrift 296, pages 1235–1269, 2020
[4] Group schemes and local densities of ramified hermitian lattices in residue characteristic 2: Part II, Forum Mathematicum Volume 30 Issue 6, pages 1487-1520, 2018
Expanded version is available here, 89 pages
[3] A uniform construction of smooth integral models and a conjectural recipe for computing local densities, International Mathematics Research Notices Issue 12, pages 3870-3907, 2018
[2] Group schemes and local densities of ramified hermitian lattices in residue characteristic 2: Part I, Algebra & Number Theory 10-3, pages 451-532, 2016
[1] Group schemes and local densities of quadratic lattices in residue characteristic 2, Compositio Mathematica 151, pages 793-827, 2015
Research Interests
Number Theory and Arithmetic Geometry. My current interest is
- Interpretation of orbital integrals via smoothening
The Arithmetic Geometry Lab at POSTECH is a research group supported by the Basic Research Laboratory program of the National Research Foundation of Korea.
The Lab brings together Sungmun Cho (PI), Valentin Buciumas, Kyoung-Seog Lee, and Qirui Li, and focuses on arithmetic geometry, broadly construed, and closely related areas. Its research emphasizes interactions with number theory, algebraic geometry, representation theory, and cohomological methods.
The Lab aims to provide an active international research environment through seminars, learning seminars, lecture series, workshops, research visits, and collaboration among faculty members, postdoctoral researchers, graduate students, and visitors.
Grants
2026.07.01 - 2029.06.30, Arithmetic Geometry Lab, Basic Research Laboratory program, NRF of Korea (Principal investigator)
2020.08.01 - 2025.07.31, Samsung Science and Technology Foundation (Principal investigator)
2018.12.01 - 2019.12.31, Samsung Science and Technology Foundation (Principal investigator)
2018.06.01 - 2021.08.31, Basic Research Lab for L-functions (participating researcher)
수상경력
2022 대한수학회 논문상
2019 포스코사이언스펠로십-신진교수
2006 미국 중서부 검도대회 동메달 (1-2단부 개인전)
Teaching
2025 Spring- Algebraic groups (graduate course, from the definition of LAG to the classification of reductive groups)
- Applied linear algebra (undergraduate course)
2024 none (Sabbatical year at IBS-CGP)
2023 Fall- Analytic number theory (graduate course, covering L-functions of CH VII, Neukirch's Algebraic Number Theory)
2023 Spring- Introduction to group representation (undergraduate course, covering CH 1-10 in Serre's Linear representations of finite groups)
- Algebra I (graduate course, covering category theory, Hom and Tensor, Projective modules)
2022 Fall- Algebraic number theory (graduate course)
2022 Spring- Introduction to Number Theory (undergraduate course, covering CH 1-4 in Serre's A course in Arithmetic)
- Elliptic Curves (graduate course, covering majority of Silverman I and II)
2021 Fall- Analytic number theory (graduate course, covering arithmetic statistics)
2021 Spring- Introduction to group representation (undergraduate course, covering CH 1-13 in Serre's Linear representations of finite groups)
- Calculus I (undergraduate course)
2020 Fall- Applied linear algebra (undergraduate course)
2020 Spring- Elliptic curves (graduate course, covering majority of Silverman I and II)
- Calculus I(undergraduate course)
2019 Fall- Analytic number theory (graduate course, covering Riemann Hypothesis of elliptic curves over a finite field)
2019 Spring- Algebraic groups (graduate course, covering majority of linear algebraic groups)
- Modern algebra I (undergraduate course)
2018 Fall- Algebraic number theory (graduate course, covering Local class field theory via Lubin-Tate formal groups)
2018 Spring- Calculus (undergraduate course)
Contact:
sungmuncho12_at_gmail_dot_com