Research
Publications
(in reverse chronological order)
Infinite families of Artin-Schreier function fields with any prescribed class group rank (with Y. Lee), Canad. J. Math. (To appear)
Average value of the divisor class numbers of real cubic function fields (with J. Lee and Y. Lee), Open Math. 21 (2023), no. 1.
Infinite families of class groups of quadratic fields with 3-rank at least one: quantitative bound (with S. Lee and Y. Lee), Int. J. Number Theory 19 (2023), no. 3, 621-637.
The mean value of the class numbers of cubic function fields (with J. Lee and Y. Lee), J. Math. Anal. Appl. 517 (2023), no. 1, 126582.
An infinite family of Griesmer quasicyclic self-orthogonal codes (with Bohyun Kim and Y. Lee), Finite Fields Appl. 76 (2021), 101923.
Infinite families of cyclotomic function fields with any prescribed class group rank (with Y. Lee), J. Pure Appl. Algebra 225 (2021), no. 9, 106658.
Indivisibility of divisor class numbers of Kummer extensions over the rational function field (with Y. Lee), J. Number Theory 192 (2018), 270-292.
Construction of formally self-dual codes over Z_4 and their weight enumerators (with Boreum Kim and Y. Lee), IEEE Trans. Inform. Theory 63 (2017), no. 12, 7667-7675.
Preprints
(in alphabetical order)
Distribution of the traces of Frobenius of elliptic curves and its applications with Peter J. Cho (submitted)
Improvements of the Hasse-Weil-Serre bound over global function fields with Y. Lee (submitted)
Indivisibility of the divisor class numbers of Artin-Schreier extensions over the rational function field with Y. Lee (submitted)
Selected talks
(in reverse chronological order)
The 10th Korea-Sino International Conference on Coding Theory and its Related Topics, Kyungpook National University, Daegu, Korea (July 2-6, 2024)
Weierstrass semigroup of the Beelen-Montanucci maximal curve
The 6th Workshop on Algebras with Related Topics, UNIST and Shilla Stay Ulsan, Ulsan, Korea (May 10-12, 2024)
Some invariants on function fields
2024 KMS Spring Meeting, Daejeon Convenction Center and KAIST, Daejon, Korea (April 18-20, 2024)
Average value of the divisor class numbers of real cubic function fields
The 5th Workshop on Algebras with Related Topics, UNIST, Ulsan, Korea (Nov. 16-18, 2023)
Infinite families of Artin-Schreier function fields with any prescribed class group rank
2023 KWMS International Conference, KIAS, Seoul, Korea (June 26-27, 2023)
Infinite families of class groups of quadratic fields with 3-rank at least one
The 4th Workshop on Algebras with Related Topics, Jeju National University, Jeju, Korea (May 11-13, 2023)
The relative class number one problem for function fields
2023 KMS Spring Meeting, Daejeon Convention Center, Daejeon, Korea (April 27-29, 2023)
Infinite families of class groups of quadratic fields with 3-rank at least one: quantitative bounds
2022 Global KMS International Conference (hybrid meeting), Seoul, Korea (Oct. 18-21, 2022)
Average value of the class numbers of cubic Kummer extensions over the rational function field
2022 Workshop on Number Theory and Algebra, Daejeon, IBS, Korea (July 21-23, 2022)
The mean value of the class numbers of cubic function fields
The 1st Workshop on Algebras with Related Topics, Kyungpook National University (hybrid meeting), Daegu, Korea (Nov. 5, 2021)
Infinite families of Kummer and cyclotomic function fields
2021 KWMS The 16th International Conference (online-zoom), (July 1-2, 2021)
Infinite families of cyclotomic function fields with any prescribed class group rank
The 9th AORC Virtual Workshop, Sungkyunkwan University (online-zoom), (Dec. 29, 2020)
Infinite families of cyclotomic function fields over the rational function field
A Day for Korean Women in Numbers (online-zoom), (July 16, 2020)
Class groups of global function fields
2019 the 15th KWMS International Conference, Seoul National University, Seoul, Korea (Aug. 22-23, 2019)
Class groups of Kummer extensions over the rational function field
9th Ewha-JWU-Ochanomizu Joint Symposium 2018, Ewha Womans University, Seoul, Korea (Nov. 20-22, 2018)
Ideal class groups of Kummer extensions over the rational function field
East Asian Core Doctoral Forum on Mathematics 2018, Tsinghua University, Beijing, China (Jan. 12-16, 2018)
Indivisibility of the divisor class numbers of Kummer extensions over the rational function field
2017 KMS annual meeting, Dangook University, Cheonan, Korea (Oct. 27-29, 2017)
Constructions of formally self-dual codes over Z_4 and their weight enumerators