Hansol Kim
affiliation: KAIST, Korea
position: post-doctoral researcher
contact: jawlang@kaist.ac.kr
(Last updated: 24.05.30)
Research Interests
Number theory
Elliptic curves
Torsion subgroups of elliptic curves
Algebraic geometry
Arithmetic geometry
Empolyment
post-doctoral researcher, KAIST, Apr. 2024 - present
Education
Doctoral program in Department of Mathematical Sciences, KAIST, Mar. 2018 - Feb. 2024 (Advisor: Bo-Hae Im)
Master’s degree in Department of Mathematical Sciences, KAIST, Mar. 2016 - Feb. 2018
Bachelor’s degree in Department of Mathematical Sciences, KAIST, Feb. 2012 - Feb. 2016
Publications / Preprints
2024
Growth of torsion groups of elliptic curves over number fields without rationally defined CM (with Bo-Hae Im), Journal of Number Theory 258(2024), 1-21.
2022
Density of elliptic curves over number fields with prescribed torsion subgroups (with Bo-Hae Im), preprint.
A classification of the automorphism groups of polarized abelian threefolds over finite fields (with WonTae Hwang and Bo-Hae Im), Finite Fields Appl. 83(2022), Paper No. 102082, 37 pp.
2018
A parametrization of θ-congruent numbers with many prime factors and with prescribed prime factors (with Bo-Hae Im), Math. Anal. Appl. 462(2018), no.1, 407–427.
Talks
2024
Growth of torsion groups of elliptic curves over number fields, rational isogenies, and number fields without rationally defined CM, KIAS, Seoul, Korea, KIAS Number Theory Seminar, May. 30 (scheduled)
Density of elliptic curves over number fields with prescribed torsion subgroups, Daejeon Convention Center & KAIST, Daejeon, Korea, 2024 KMS Spring Meeting, Apr. 20
2023
Growth of torsion groups of elliptic curves over number fields without rationally defined CM, Seoul National University, Seoul, Korea, 2023KMS Annual Meeting, Oct. 28
Density of elliptic curves over number fields with prescribed torsion subgroups, Korea University, Seoul, Korea, 3rd Exchange of Young Ideas in Arithmetic, Jun. 22
Problems on Torsion Subgroups of Elliptic Curves over Number Fields, KAIST, Daejeon, Korea, KAIST Math Graduate student Seminar, Jun. 01
Density of elliptic curves over number fields with prescribed torsion subgroups, KAIST, Daejeon-online hybrid, 2023 Annual Number Theory Workshop, Jan. 28
2019
Algebraic Approach on Ramanujan-Nagell form Equation, UNIST, Ulsan, Korea, Exchange of Young Ideas in Arithmetic, Jun. 27
2018
A parametrization of θ-congruent numbers with many prime factors, COEX, Seoul, Korea, KMS-DMV Joint Conference, Oct. 5
Teaching Experience
TA in KAIST
Calculus 1 (2022S, 2023S)
Calculus 2 (2016F, 2017F, 2022F)
Linear Algebra (2018F, 2021S)
Introduction to Linear Algebra (2017S, 2018S, 2018F, 2019F, 2021F, 2023S)
Differential Equations and Applications (2016S, 2019S, 2020S, 2021S)
Introduction to Number Theory (2018S, 2020S)
Modern Algebra 1(2016S, 2017S, 2019S, 2022S)
Modern Algebra 2(2016F, 2017F, 2019F)
Introduction to Cryptography(2021F)
Topics in Mathematics <Introduction to Scientific Machine Learning>(2022F)
I received the Best TA awards in 2022S and 2022F.