papers

Preprints (selected)

• 1. Serre conjecture for GSp4 over totally real fields, available on arxiv, re-submitted 2024.  

  2. Geometric construction of theta operators for Siegel modular forms, joint with Alex Ghitza in preparation.   

  3. Automorphy of mod 2 Galois representations associated to the quintic Dwork family and reciprocity of some quintic trinomials, with Nobuo Tsuzuki, available on arxiv, re-submitted 2025. 

  4. A new theta cycle for GSp_4 and Edixhoven type theorem, available on Arxiv, submitted on 12 Mar 2022

  5. On the Fourier expansion of Gan-Gurevich lifts on the exceptional group of type G2,  available on Arxiv, submitted on Mon, 9 Dec 2024 .

  6. The mod 2 monodromy for the Dwork family and its applications to Galois representations, arXiv:2506.23938 

  7. The non-existence of certain mod 2 Galois representations for GSp_4 and GL_5 unramified outside 2,  joint with Alex Ghitza.

Accepted papers (selected)  

1. H-H. Kim and T. Yamauchi, Restriction of modular forms on E_{7,3} to Sp_6, to appear in Research in Number Theory .

2. H-H. Kim, S. Wakatsuki, and T. Yamauchi, Central limit theorem for Hecke eigenvalues, to appear in Forum Mathematicum.