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), coming soon

[13] An explicit formula for the orbital integrals on the spherical Hecke algebra of GL_3 (with Yuchan Lee), 17 pages

[12] On the Siegel series in terms of lattice counting (with Taeyeoup Kang), 24 pages, submitted

[11] Stable orbital integrals for classical Lie algebras and smooth integral models (with Taeyeoup Kang and Yuchan Lee), 139 pages, submitted

[10] Orbital integrals for gl_n and smooth integral models (with Yuchan Lee), 79 pages, merged into the above preprint

[9] An explicit formula for the extended Gross-Keating datum of a quadratic form (with Tamotsu Ikeda, Hidenori Katsurada, Chul-hee Lee, Takuya Yamauchi), 32 pages, submitted

[8] An inductive formula for the Gross-Keating invariant of a quadratic form (with Tamotsu Ikeda, Hidenori Katsurada, Chul-hee Lee, Takuya Yamauchi), 22 pages, to appear in Tohoku Mathematical Journal

[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

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