Papers and Talks

Preprints and Publications

1. On the category of modules over bands : relative schemes, hyperring schemes and proto-exactness, submitted for publication.

2. A Tate algebra version of the Jacobian Conjecture (with K. Kato and R. Komiya), J. of Pure and Applied Algebra 229 (12) 2025.

3. Torsion of elliptic curves over quartic number fields with rational j-invariant, submitted for publication.

4. Torsion of elliptic curves with rational j-invariant over the maximal elementary abelian 2-extension of Q, Tohoku Math. J. 78 no.2 (2026), 291-310.

Work in progress

5. Categorical Reconstruction of Relative Schemes. 

6. Zeta function of relative schemes.

7. Solenoidal manifolds associated with Oeljeklaus-Toma manifolds. (j.w.w. Lucas H. S. Gomes)

Conference Paper

• Implementing graduate student-engaged TA training development in STEM education, (authors: T. Asayama, M. Fujimori, K. Hashimoto, J. Uda, L. Hamada, N. Nemoto, K. Takahashi, T. Shimazaki, and Y. Kato), The 48th Annual Conference of JSET. Proceedings of the JSET Spring Conference 2026 (48th). pp. 501--502. Japan Society for Educational Technology.

Talks

1. Kyushu Algebraic Number Theory 2024, Kyushu University, February 28–March 1, 2024

2. Ookayama Youth Seminar in Algebra, Tokyo Institute of Technology, April 19, 2024

3. 23rd Sendai-Hiroshima Workshop on Number theory, Tohoku University, July 9-12, 2024

4. MSJ Spring Meeting 2026, Tokyo University of Science, March 23-26, 2026

5. 25rd Sendai-Hiroshima Workshop on Number theory, Tohoku University, July 7-10, 2026