Preprints

  1. Frobenius liftable hypersurfaces

    with T. Kawakami, S. Sarkar

    arXiv:2507.12198 (2025)

  2. Higher F-injective singularities

    with T. Kawakami

    arXiv:2412.08887 (2024)

  3. Perfectoid pure singularities

    with B. Bhatt, L. Ma, Z. Patakfalvi, K. Schwede, K. Tucker, J. Waldron

    arXiv:2409.17965 (2024)

  4. Quasi-F-splittings in birational geometry III

    with T. Kawakami, T. Takamatsu, H. Tanaka, F. Yobuko, S. Yoshikawa

    arXiv:2408.01921 (2024)

  5. Quasi-F^e-splittings and quasi-F-regularity in birational geometry

    with H. Tanaka, F. Yobuko

    arXiv:2404.06788 (2024)

  6. Test ideals in mixed characteristic: a unified theory up to perturbation

    with B. Bhatt, L. Ma, Z. Patakfalvi, K. Schwede, K. Tucker, J. Waldron

    arXiv:2401.00615 (2024)

Published papers

  1. Quasi-F-splittings in birational geometry II

    with T. Kawakami, T. Takamatsu, H. Tanaka, F. Yobuko, S. Yoshikawa

    arXiv:2302.13235, Proceedings of the London Mathematical Society (2023), to appear

  2. Quasi-F-splittings in birational geometry

    with T. Kawakami, T. Takamatsu, H. Tanaka, F. Yobuko, S. Yoshikawa

    arXiv:2208.08016, Annales scientifiques de l'École normale supérieure (2022), to appear

  3. Lifting globally F-split surfaces to characteristic zero

    with F. Bernasconi, I. Brivio, T. Kawakami

    Journal für die reine und angewandte Mathematik, Crelle's Journal (2022)

  4. Resolution and alteration with ample exceptional divisor

    with J. Kollár

    Science China Mathematics, Special Issue on Algebraic Geometry (2021)

  5. Relative semiampleness in mixed characteristic

    Duke Mathematical Journal (2021)

  6. On the relative Minimal Model Program for fourfolds in positive and mixed characteristic

    with C. Hacon

    Forum of Mathematics, PI (2021)

  7. The Du Bois complex of a hypersurface and the minimal exponent

    with M. Mustaţă, S. Olano, M. Popa

    Duke Mathematical Journal (2021)

  8. Globally +-regular varieties and the MMP for 3-folds in mixed characteristic

    with B. Bhatt, L. Ma, Z. Patakfalvi, K. Schwede, K. Tucker, J. Waldron

    Publications Mathématiques de l'IHÉS (2020)

  9. An analog of adjoint ideals and PLT singularities in mixed characteristic

    with L. Ma, K. Schwede, K. Tucker, J. Waldron

    Journal of Algebraic Geometry (2020)

  10. Tamely ramified morphisms of curves and Belyi’s theorem in positive characteristic

    with K. Kedlaya and D. Litt

    International Mathematics Research Notices (2020)

  11. Keel's base point free theorem and quotients in mixed characteristic

    Annals of Mathematics (2020)

  12. The Minimal Model Program for threefolds in characteristic five

    with C. Hacon

    Duke Mathematical Journal (2019)

  13. On the relative Minimal Model Program for threefolds in low characteristics

    with C. Hacon

    Peking Mathematical Journal (2019)

  14. On the canonical bundle formula and log abundance in positive characteristic

    Mathematische Annalen (2017)

  15. Global Frobenius Liftability I

    with P. Achinger and M. Zdanowicz

    Journal of the European Mathematical Society (2017)

  16. Global Frobenius Liftability II: Surfaces and Fano threefolds

    with P. Achinger and M. Zdanowicz

    Annali della Scuola Normale Superiore di Pisa (2017)

  17. On the rationality of Kawamata log terminal singularities in positive characteristic

    with C. Hacon

    Algebraic Geometry (2017)

  18. On log del Pezzo surfaces in large characteristic

    with P. Cascini and H. Tanaka

    Compositio Mathematica (2016)

  19. Klt del Pezzo surfaces which are not globally F-split

    with P. Cascini and H. Tanaka

    International Mathematics Research Notices (2016)

  20. On the base point free theorem and Mori dream spaces for log canonical threefolds over \( \overline{\mathbb{F}}_p \)

    with Y. Nakamura

    Mathematische Zeitschrift (2016)

  21. Effective bounds on singular surfaces in positive characteristic

    Michigan Mathematical Journal (2015)

  22. On the basepoint-free theorem for log canonical threefolds over \( \overline{\mathbb{F}}_p \)

    with D. Martinelli and Y. Nakamura

    Algebra and Number Theory (2014)

  23. The degeneration of Grassmannian into a toric variety and calculation of eigenspaces of a torus action

    Journal of Algebraic Statistics (2012)

The years above indicate when the articles were submitted to the arXiv.