東京大学数理科学研究科の博士学生です.
Email: y-mikmi(at)g.ecc.u-tokyo.ac.jp, もしくは,ymikami.math(at)gmail(dot)com
興味のあること
Condensed mathematicsとその数論(特にリジッド解析空間の理論)への応用に興味があります.最近では圏論的p進Langlands対応にも興味があります.
論文(出版済み)
- 1. Faithfully flat descent of quasi-coherent complexes on rigid analytic varieties via condensed mathematics Int. Math. Res. Not. IMRN 2024, no. 8, 7099–7128.
プレプリント
- 1. Finiteness and duality of cohomology of (φ,Γ)-modules and the 6-functor formalism of locally analytic representations arXiv preprint arXiv:2504.01780 (2025)
- 2. with Kiran S. Kedlaya, On the relative Nullstellensatz in nonarchimedean geometry arXiv preprint arXiv:2503.18183 (2025)
- 3. (φ,Γ)-modules over relatively discrete algebras arXiv preprint arXiv:2409.14145 (2025)
- 4. Fppf-descent for condensed animated rings arXiv preprint arXiv:2311.13408 (2023)
