Other Writing

Expository

  1. Exceptional isomorphisms between finite groups
  2. 幾何学的ラングランズ同値とは何か？ for the workshop RIMS: Interactions of representation theory and related areas
  3. Stack of local systems and ind-coherent sheaves for the workshop Hot Topics: Geometric Langlands Conjecture
  4. Non-abelian Hodge theory for the mapping class group seminar
  5. Stacky approach to de Rham cohomology for the prismatic seminar
  6. Partial differential equations and \(n\)-th order differential equations for the STAGE seminar
  7. Langlands-Tunnell theorem for the modularity seminar
  8. Taylor-Wiles deformations for the modularity seminar
  9. Weil-Deligne representations for the Local Langlands seminar
  10. Parabolic Wakimoto modules for the seminar on the center of Kac-Moody algebras
  11. Steenrod algebras for the chromatic homotopy seminar
  12. Bloch-Gabber-Kato theorem
Michael and I are running a blog explaining number theory to high school students. The following are other notes I have written.

Non-Mathematical

  1. Is All Learning (Natural) Gradient Descent?, with Lucas Shoji and Leo Kozachkov [arXiv:2409.16422], Neural Computation (2026) 38 (1)