I am a postdoctoral research fellow at Chonnam National University.
Email: junyeongp@gmail.com
I am a postdoctoral research fellow at Chonnam National University.
Email: junyeongp@gmail.com
Education & Employment
Research fellow, Basic Research Laboratory at Chonnam National University (2024.09 ~ )
Research fellow, Chonnam National University (2024. 08 ~ 2024.08)
Research fellow, Ulsan National Institute of Science and Technology (2022. 08 ~ 2024. 07)
Research fellow, Seoul National University (2022. 03 ~ 2022. 07)
Ph. D., POSTECH (2014.09 - 2022.02)
BS, POSTECH (2011.03 - 2014.08)
Research
12. Arithmetic BF theory and the Cassels-Tate pairing (with Jeehoon Park), submitted.
11. On properness of moduli stacks of $\mathcal{D}^\times$-shtukas over ramified legs (with Yong-Gyu Choi and Wansu Kim), submitted. Arxiv
10. Cellular sheaf Laplacians on the set of simplices of symmetric simplicial set induced by hypergraph (with Seongjin Choi), submitted.
9. Twisted de Rham complex for toric Calabi-Yau complete intersections and flat F-manifold structures (with Jeehoon Park), submitted. Arxiv
8. The average analytic ranks of elliptic curves with prescribed level structure (with Peter J. Cho and Keunyoung Jeong), submitted. Arxiv
7. BF path integrals for elliptic curves and p-adic L-functions (with Jeehoon Park), to appear in the Osaka Journal of Mathematics, Arxiv
6. Decomposition of the Jacobian of some twists of a genus 2 curve, (with Keunyoung Jeong and Yeong-Wook Kwon), Bulletin of the Australian Mathematical Society, Vol. 111 (2025), pp.445-459.
5. Nonvanishing of L-function of some Hecke characters on cyclotomic fields (with Keunyoung Jeong and Yeong-Wook Kwon), Journal of Number Theory, Vol. 265 (2024), pp. 48-75.
4. On a comparison between Dwork and rigid cohomologies of projective complements, Nagoya Mathematical Journal, Vol. 254 (2024), pp. 420-461.
3. On the Jacobian of a family of hyperelliptic curves (with Keunyoung Jeong and Donggeon Yhee), Osaka Journal of Mathematics, Vol. 60, No. 1 (2023), pp. 43-60.
2. A basis of algebraic de Rham cohomology of complete intersections over a characteristic zero field (with Jeehoon Park), Communications in Algebra, Vol. 50, Issue 4 (2022), pp. 1372-1388. Errata.
1. An algorithm for a lifted triple Massey product of a smooth projective plane curve (with Younggi Lee, Jeehoon Park, and Jaehyun Yim), International Journal of Algebra and Compuation, Vol. 30, No. 08 (2020), pp. 1651-1669.
Preprints
3. Continued fraction expansions in a real quadratic field and an invariant measure of Gauss-Kuzmin type in dimension two (with Dohyeong Kim).
2. Polynomial realizations of period matrices of projective smooth complete intersections and their deformation (with Yesule Kim and Jeehoon Park). Arxiv
1. Batalin-Vilkovisky formalism in the p-adic Dwork theory (with Dohyeong Kim and Jeehoon Park). Arxiv
Invited talks
Introduction to category theory, Lecture series at Korea University, Nov 25-28, 2024.
BF-path integrals for elliptic curves and p-adic L-functions, 2024 KMS annual meeting at Sungkyunkwan University, Suwon, Oct. 24-26, 2024.
BF-path integrals for elliptic curves and p-adic L-functions, at KAIST, Daejeon, Jul. 12, 2023.
"Cayley trick" for simplicial toric varieties, at Chonnam National University, Gwangju, May. 19, 2022.
Continued fraction expansions in a real quadratic field and an invariant measure of Gauus-Kuzmin type in dimension two, 2022 KMS spring meeting, Virtual conference, Apr. 28-29, 2022.
On a comparison between Dwork and rigid cohomologies of projective complement, 2021 KMS annual meeting, Virtual conference, Oct. 20-22, 2021.
A homotopy Lie formula for the p-adic Dwork Frobenius operator, number theory seminar at UNIST, Ulsan, Korea, Oct. 07, 2019.
Instructional workshop on class field theory, at KIAS, Seoul, Korea, Jan. 22-26, 2018.
Homotopy Lie theory for zeta functions of smooth projective complete intersections, NCTS-POSTECH joint workshop on number theory at NCTS, Taipei, Taiwan, Dec. 27, 2017.
Categories for working number theorists, KIAS number theory seminar at KIAS, Seoul, Korea, Apr. 06-07, 2016.