Research Interests

• Algebraic Number Theory

• Class numbers, Elliptic curves, Modular forms 

Preprints

1. Congruences on the class numbers of Q(√±2p) for p ≡ 3 (mod 4) a prime (with Yoshinori Mizuno) 

• arxiv:2210.02668.

Papers

1. The theta cycles for modular forms modulo prime powers (with Yoonjin Lee)

• Forum Mathematicum 35(3) (2023) 591-613.    (Journal)

2. Congruences for odd class numbers of quadratic fields with odd discriminant (with Yoshinori Mizuno)

• Ramanujan J. 60(4) (2023) 939-963.    (Journal) arxiv:2201.04291.

3. p-adic properties for Taylor coefficients of half-integral weight modular forms on Γ1(4) (with Yoonjin Lee)

• Taiwanese J. Math. 27(1) (2023) 23-38.    (Journal) arxiv:2109.08778.

4. Congruent numbers and lower bounds on class numbers of real quadratic fields (with Yoonjin Lee)

• Proc. Amer. Math. Soc. 150(11) (2022) 4671-4684.    (Journal)

5. Class numbers of real quadratic fields (with Dongho Byeon) 

• J. Number Theory 231 (2022) 1-47.    (Journal)

6. Class number problem for a family of real quadratic fields (with Dongho Byeon)

• Acta Arith. 201 (2021) 207-217.    (Journal)

7. Distribution of root numbers of Hecke characters attached to some elliptic curves (with Keunyoung Jeong, and Taekyung Kim)

• Forum Mathematicum 33(3) (2021) 653-668.    (Journal) arxiv:2001.06321.

8. An explicit lower bound for special values of Dirichlet L-functions II (with Dongho Byeon)

• J. Number Theory 205 (2019) 194-209.    (Journal)

9. An explicit lower bound for special values of Dirichlet L-functions (with Dongho Byeon)

• J. Number Theory 189 (2018) 272-303.    (Journal)