Preprints
- Perfectoid pure singularities (with B. Bhatt, L. Ma, Z. Patakfalvi, K. Schwede, K. Tucker, J. Waldron) arXiv:2409.17965 (2024)
- Quasi-F-splittings in birational geometry III (with T. Kawakami, T. Takamatsu, H. Tanaka, F. Yobuko, S. Yoshikawa) arXiv:2408.01921 (2024)
- Quasi-F^e-splittings and quasi-F-regularity in birational geometry (with H. Tanaka, F. Yobuko) arXiv:2404.06788 (2024)
- 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)
Papers
- Quasi-F-splittings in birational geometry II (with T. Kawakami, T. Takamatsu, H. Tanaka, F. Yobuko, S. Yoshikawa) Proceedings of the London Mathematical Society (2023), to appear
- Quasi-F-splittings in birational geometry (with T. Kawakami, T. Takamatsu, H. Tanaka, F. Yobuko, S. Yoshikawa) Annales scientifiques de l'École normale supérieure (2022), to appear
- Lifting globally F-split surfaces to characteristic zero (with F. Bernasconi, I. Brivio, T. Kawakami) Journal für die reine und angewandte Mathematik, Crelles Journal (2022)
- Resolution and alteration with ample exceptional divisor (with J. Kollár) Science China Mathematics, Special Issue on Algebraic Geometry (2021)
- Relative semiampleness in mixed characteristic Duke Mathematical Journal (2021)
- On the relative Minimal Model Program for fourfolds in positive and mixed characteristic (with C. Hacon) Forum of Mathematics, PI (2021)
- The Du Bois complex of a hypersurface and the minimal exponent (with M. Mustaţă, S. Olano, M. Popa) Duke Mathematical Journal (2021)
- 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)
- 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)
- Tamely ramified morphisms of curves and Belyi’s theorem in positive characteristic (with K. Kedlaya and D. Litt) International Mathematics Research Notices (2020)
- Keel's base point free theorem and quotients in mixed characteristic Annals of Mathematics (2020)
- The Minimal Model Program for threefolds in characteristic five (with C. Hacon), Duke Mathematical Journal (2019)
- On the relative Minimal Model Program for threefolds in low characteristics (with C. Hacon), Peking Mathematical Journal (2019)
- On the canonical bundle formula and log abundance in positive characteristic, Mathematische Annalen (2017)
- Global Frobenius Liftability I (with P. Achinger and M. Zdanowicz), Journal of the European Mathematical Society (2017)
- Global Frobenius Liftability II: Surfaces and Fano threefolds (with P. Achinger and M. Zdanowicz) Annali della Scuola Normale Superiore di Pisa (2017)
- On the rationality of Kawamata log terminal singularities in positive characteristic (with C. Hacon), Algebraic Geometry (2017)
- On log del Pezzo surfaces in large characteristic (with P. Cascini and H. Tanaka), Compositio Mathematica (2016)
- Klt del Pezzo surfaces which are not globally F-split (with P. Cascini and H. Tanaka), International Mathematics Research Notices (2016)
- 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)
- Effective bounds on singular surfaces in positive characteristic, Michigan Mathematical Journal (2015)
- 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)
- The degeneration of the Grassmannian into a toric variety and the calculation of the eigenspaces of a torus action, Journal of Algebraic Statistics (2012)
The years above indicate when the articles were submitted to the arXiv.