KAWAKAMI, Tatsuro

Title
Associate Professor
Field
Algebraic Geometry
Research interests
Positive characteristic, Frobenius maps, Cartier operators, Singularities, Vanishing theorems
Current research

I study algebraic varieties in positive characteristic from both local and global perspectives. In particular, I am interested in methods utilizing Frobenius maps and Cartier operators.
Selected publications
  1. T. Kawakami,
    Extendability of differential forms via Cartier operators,
    J. Eur. Math. Soc. (JEMS), to appear.
  2. T. Kawakami and B. Totaro,
    Endomorphisms of varieties and Bott vanishing,
    J. Algebraic Geom. 34 (2025), 381-405.
  3. T. Kawakami, T. Takamatsu, H. Tanaka, J. Witaszek, F. Yobuko, and S. Yoshikawa,
    Quasi-F-splittings in birational geometry,
    Ann. Sci. ´Ec. Norm. Sup´er. (4), to appear.
  4. T. Kawakami, T. Takamatsu, H. Tanaka, J. Witaszek, F. Yobuko, and S. Yoshikawa,
    Quasi-F-splittings in birational geometry II,
    Proc. Lond. Math. Soc. (3) 128 (2024), article no. e12593.
  5. F. Bernasconi, I. Brivio, T. Kawakami, and J. Witaszek,
    Lifting globally F-split surfaces to characteristic zero,
    J. Reine Angew. Math. (Crelles Journal) 816 (2024), 47-89.
  6. T. Kawakami,
    Bogomolov-Sommese vanishing and liftability for surface pairs in positive characteristic,
    Adv. Math. 409 (2022), article no. 108640.

Memberships, activities and

Awards

The Mathematical Society of Japan

MSJ Takebe Katahiro Prize for Encouragement of Young Researchers(2023)