papers

Preprints (selected)

• 1. Serre conjecture for GSp4 over totally real fields, available on arxiv, submitted 2020.  

  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, submitted 2020. 

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

Accepted papers (selected) 

• 1. Atobe, Hiraku; Chida, Masataka; Ibukiyama, Tomoyoshi; Katsurada, Hidenori; Yamauchi, Takuya Harder's conjecture I. J. Math. Soc. Japan 75 (2023), no. 4, 1339–1408.  

  2. A. Ghitza, T. Yamauchi, Automorphy of mod 2 Galois representations associated to certain genus 2 curves over totally real fields, 17 pages, to appear in the Journal de Théorie des Nombres de Bordeaux.

  3. Yusuke Aikawa, Ryokichi Tanaka , and Takuya Yamauchi, Isogeny graphs on superspecial abelian varieties: eigenvalues and connection to Bruhat–Tits buildings,Canad. J. Math. 2023, pp. 1–26. http://dx.doi.org/10.4153/S0008414X23000676. I recommend to read the Arxiv version https://arxiv.org/abs/2201.04293 because the published version was shrinked due to the journal regulations.

  4. Kim, Henry H.; Wakatsuki, Satoshi; Yamauchi, Takuya; Equidistribution theorems for holomorphic Siegel cusp forms of general degree: the level aspect. Algebra Number Theory 18 (2024), no. 5, 993–1038.