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
[14] Orbital integrals and ideal class monoids for a Bass order (with Jungtaek Hong and Yuchan Lee), preprint, 50 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
Grants
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