Hansol Kim

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

(List in MATHSCINET)

• 2025

  • The automorphism group of torsion points of an elliptic curve over a field of characteristic $\ge5$ (with Bo-Hae Im),  preprint, 2025.

  • The automorphism group of the $p^{n}$-torsion points of an elliptic curve over a field of characteristic $p \ge 5$ (with Bo-Hae Im), Finite Fields Appl. 106(2025), Paper No. 102631.

• 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

• 2025

  • The automorphism group of the $p^{n}$-torsion subgroup of an elliptic curve over a field of characteristic $p \ge 5$, The Korea Science Technology Center, Seoul, Korea, 2025 KMS Meeting, Oct. (scheduled)

  • The automorphism group of the torsion subgroup of an elliptic curve over a field of characteristic $p \ge 5$, Chonnam National University, Gwangju, Korea, 2025 Annual Number Theory Workshop, Jan. 6

• 2024

  • Galois groups of the $p^{e}N$-torsion subgroups of elliptic curves, Acdemia Sinica, Taipei, Taiwan, Taipei Postdoc Seminar, Nov. 20

  • 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

  • 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, June 22

  • Problems on Torsion Subgroups of Elliptic Curves over Number Fields, KAIST, Daejeon, Korea, KAIST Math Graduate student Seminar, June 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