I am a Graduate Student at POSTECH.
Here is my CV.
E-mail : yuchanlee329@gmail.com
I am interested in Number theory; arithmetic geometry, trace formula and orbital integral.
Visiting Student Researcher in Mathematics, UC Berkeley, Aug.2024 - Dec.2024 (Advisor: Sug Woo Shin)
Ph.D in Mathematics, POSTECH, Mar.2021 - Present (Advisor: Sungmun Cho)
B.Sc. in Mathematics, POSTECH, Mar.2018 - Feb.2021
An upper bound for the size of the ideal class monoid (Joint work with Sungmun Cho and Jungtaek Hong), 20 pages, arxiv:,2509.22386 (arXiv), submitted.
Diophantine analysis and Arthur's trace formula, 39 pages, arxiv:2509.22314 (arXiv), submitted.
An asymptotic formula for the number of integral matrices with a fixed characteristic polynomial via orbital integrals (Joint work with Seongsu Jeon), 45pages, arxiv:2501.00284 (arXiv), prepreint.
Orbital integrals and Ideal class monoids for a Bass order (Joint work with Sungmun Cho and Jungtaek Hong), 46 pages, arXiv:2408.16199 (arXiv), submitted.
An explicit formula for the orbital integrals on the spherical Hecke algebra of GL_3 (Joint work with Sungmun Cho), 17 pages, arxiv:2404.04666v2 (arXiv), submitted.
On a Kostant section for the unitary group, 4 pages, arXiv:2312.08612 (arXiv), preprint.
Stable orbital integrals for classical Lie algebras and smooth integral models (Joint work with Sungmun Cho and Taeyoup Kang), 139 pages, arxiv:2411.16054 (arXiv), submitted.
Orbital integrals for gl_n and smooth integral models (Joint work with Sungmun Cho), 79 pages, merged into the above paper.
Last Update : Sep 11th, 2025