A Book

  1. A Glimpse into University Math Through Games, Kyoritsu Shuppan (Dec. 2018).

Papers

My papers on Google Scholar

  1. The isomorphism problem of projective schemes and related algorithmic problems,
    arXiv:2107.09277

  2. Open problems in the wild McKay correspondence and related fields,
    arXiv:2107.07073

  3. On the behavior of stringy motives under Galois quasi-étale covers,
    joint work with Javier Carvajal-Rojas,
    arXiv:arXiv:2105.05214.

  4. The wild McKay correspondence for cyclic groups of prime power order,
    joint work with Mahito Tanno,
    arXiv:2006.12048, to appear in Illinois Journal os Mathematics.

  5. Moduli of formal torsors II,
    joint work with Fabio Tonini,
    arXiv:1909.09276, to appear in Annales l'Institut Fourier.

  6. Motivic integration over wild Deligne-Mumford stacks,
    arXiv:1908.02932.

  7. The wild McKay correspondence via motivic integration,
    Sugaku, 70, 159-183, (Apr. 2018)
    (in Japanese. The original Japanese title is モチーフ積分による野性マッカイ対応.)

  8. Notes on the motivic McKay correspondence for the group scheme \( \alpha_p \),
    joint work with Fabio Tonini,
    Singularities — Kagoshima 2017; Proceedings of the 5th Franco-Japanese-Vietnamese Symposium on Singularities, 215-233 (Jul. 2020).

  9. Discrepancies of \(p\)-cyclic quotient varieties,
    Journal of Mathematical Sciences, the University of Tokyo, 26, 1-14 (Mar. 2019).

  10. Moduli of formal torsors,
    joint work with Fabio Tonini,
    Journal of Algebraic Geometry, 29, 753-801, (Jun. 2020).

  11. Motivic Serre invariants modulo the square of \(\mathbb{L}-1\),
    Proceedings of the American Mathematical Society, 146, 547-554 (Feb. 2018).

  12. Vojta’s conjecture, singularities and multiplier-type ideals,
    Kodai Mathematical Journal, 41, 566-578 (Oct. 2018).
    (this is a shortened version of the preprint "Vojta's conjecture for singular varieties", arXiv:1610.03593).

  13. Mass formulas for local Galois representations and quotient singularities II: dualities and resolution of singularities,
    joint work with Melanie Matchett Wood
    Algebra & Number Theory, 11, 817-840 (Jun. 2017).
    (Errata to this paper is to appear on the ANT website. Here are supplementary notes.)

  14. Manin's conjecture vs. Malle's conjecture,
    arXiv:1505.04555.

  15. The wild McKay correspondence and p-adic measures,
    Journal of the European Mathematical Society, 19, 3709-3734 (Nov. 2017).

  16. Densities of rational points and number fields,
    arXiv:1408.3912.

  17. Wilder McKay correspondences,
    Nagoya Mathematical Journal, 221, 111-164 (Mar. 2016).

  18. Mass formulas for local Galois representations and quotient singularities I: a comparison of counting functions,
    joint work with Melanie Matchett Wood,
    International Mathematics Research Notices, 2015, 12590–12619 (Jan. 2015).

  19. Toward motivic integration over wild Deligne-Mumford stacks,
    Higher dimensional algebraic geometry, Advanced Studies in Pure Mathematics, 74, 407-437 (2017).

  20. Higher Semple-Nash blowups and F-blowups,
    Clay Mathematics Proceedings, Vol. 20, 327-340 (Jan., 2014).

  21. The p-cyclic McKay correspondence via motivic integration,
    Compositio Mathematica, 150, 1125-1168 (Jul., 2014).

  22. Pure subrings of regular local rings, endomorphism rings and Frobenius morphisms,
    Journal of Algebra, 370, 15-31 (Nov., 2012).

  23. F-blowups of normal surface singularities,
    joint work with Nobuo Hara and Tadakazu Sawada,
    Algebra & Number Theory 7-3, 733--763 (Aug., 2013).

  24. Frobenius morphisms of noncommutative blowups,
    Singularities in Geometry and Topology, Strasbourg 2009 (IRMA Lectures in Mathematics and Theoretical Physics 20), 269-283 (Dec., 2012).

  25. Universal flattening of Frobenius,
    American Journal of Mathematics, 134, 349-378 (Apr., 2012).

  26. Noncommutative resolution, F-blowups and D-modules,
    joint work with Yukinobu Toda,
    Advances in Mathematics, 222, 318-330 (Sep., 2009).

  27. On monotonicity of F-blowup sequences,
    Illinois Journal of Mathematics, 53, 101-110 (May, 2009).

  28. Non-adic formal schemes,
    International Mathematics Research Notices, 2009, 2417-2475 (Feb., 2009).

  29. Flag higher Nash blowups,
    Communications in Algebra, 37, 1001-1015 (Mar., 2009).

  30. Higher Nash blowups,
    Compositio Mathematica, 143, 1493-1510 (Nov., 2007).

  31. Motivic integration over Deligne-Mumford stacks,
    Advances in Mathematics, 207, 707-761 (Dec., 2006).

  32. Jet schemes, log discrepancies and inversion of adjunction,
    joint work with L. Ein and M. Mustata,
    Inventiones Mathematicae, 153, 519-535, (Sep., 2003).

  33. Dimensions of jet schemes of log singularities,
    American Journal of Mathematics, 125, 1137-1145 (Oct., 2003).

  34. Twisted jets, motivic measures and orbifold cohomology,
    Compositio Mathematica, 140, 396-422 (Mar., 2004).