Junyeong Park

I am a postdoctoral research fellow at Ulsan National Institute of Science and Technology.

Email: junyeongp@gmail.com

Employment

• Research fellow, Chonnam National University (2024. 08 ~ )

• Research fellow, Ulsan National Institute of Science and Technology (2022. 08 ~ 2024. 07)

• Research fellow, Seoul National University (2022. 03 ~ 2022. 07)

Research

1. Twisted de Rham complex for toric Calabi-Yau complete intersections and flat F-manifold structures, (with Jeehoon Park), submitted. Arxiv 

2. BF path integrals for elliptic curves and p-adic L-functions (with Jeehoon Park), submitted. Arxiv 

3. The average analytic ranks of elliptic curves with prescribed level structure (with Peter J. Cho and Keunyoung Jeong), submitted. Arxiv 

4. Continued fraction expansions in a real quadratic field and an invariant measure of Gauss-Kuzmin type in dimension two (with Dohyeong Kim), submitted.

5. Decomposition of the Jacobian of some twists of genus 2 curve, (with Keunyoung Jeong and Yeong-Wook Kwon), to appear in the Bulletin of Australian Mathematical Society.

6. Nonvanishing of L-function of some Hecke characters on cyclotomic fields (with Keunyoung Jeong and Yeong-Wook Kwon), Journal of Number Theory, published online.

7. On a comparison between Dwork and rigid cohomologies of projective complements,  Nagoya Mathematical Journal, Vol. 254 (2024), pp. 420-461.

8. 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.

9. 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.

10. 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

1. Algebraic description of complex conjugation on cohomology of a smooth projective hypersurface (with Jeehoon Park and Philsang Yoo). Arxiv 

2. Polynomial realizations of period matrices of projective smooth complete intersections and their deformation (with Yesule Kim and Jeehoon Park). Arxiv 

3. Batalin-Vilkovisky formalism in the p-adic Dwork theory (with Dohyeong Kim and Jeehoon Park). Arxiv