I am a Ph.D. student in mathematics at the University of Tokyo. Now I am staying in Münster until mid-June.
Email: y-mikmi(at)g.ecc.u-tokyo.ac.jp, or, ymikami.math(at)gmail(dot)com
My Research Interest
I am interested in condensed mathematics and its application to number theory, particularly the theory of rigid analytic spaces. Recently, I have become interested in categorical p-adic Langlands correspondence.
Papers
- 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.
Preprints
- 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)
