All preprints are available at arXiv.org.
List in MathSciNet (available only with licence).
An interpretation of multiplier ideals via tight closure
J. Algebraic. Geom. 13 (2004), 393-415.
When does the subadditivity theorem for multiplier ideals hold?
(with Kei-ichi Watanabe), Trans. Amer. Math. Soc. 356 (2004), no. 10, 3951-3961.
On a genaralization of test ideals
(with Nobuo Hara), Nagoya Math. J. 175 (2004), 59-74.
F-singularities of pairs and Inversion of Adjunction of arbitrary codimension
Invent. Math. 157 (2004), no.1, 123-146.
On F-pure thresholds
(with Kei-ichi Watanabe), J. Algebra 282 (2004), no.1, 278-297.
Formulas for multiplier ideals on singular varieties
Amer. J. Math. 128 (2006), no.6, 1345-1362.
F-thresholds and Bernstein-Sato polynomials
(with Mircea Mustata and Kei-ichi Watanabe), European Congress of Mathematics, 341-364, Eur. Math. Soc., Zurich, 2005.
A characteristic p analogue of plt singularities and adjoint ideals
Math. Z. 259 (2008), no.2, 321-341.
Generalized test ideals and Symbolic powers
(with Ken-ichi Yoshida), Michigan Math. J. 57 (2008), 711-724.
D-modules over rings with finite F-representation type
(with Ryo Takahashi), Math. Res. Lett. 15 (2008), no.3, 563-581.
Rational singularities associated to pairs
(with Karl Schwede), Michigan Math. J. 57 (2008), 625-658.
F-thresholds, tight closure, integral closure, and multiplicity bounds
(with Craig Huneke, Mircea Mustata and Kei-ichi Watanabe), Michigan Math. J. 57 (2008), 463-483.
Adjoint ideals along closed subvarieties of higher codimension
J. Reine Angew. Math. 641 (2010), 145-162.
Log canonical thresholds of binomial ideals
(with Takafumi Shibuta), Manuscripta Math. 130 (2009), 45-61.
Discreteness and rationality of F-jumping numbers on singular varieties
(with Manuel Blickle, Karl Schwede and Wenliang Zhang), Math. Ann. 347 (2010), 917-949.
Multiplicity bounds in graded rings
(with Craig Huneke and Kei-ichi Watanabe), Kyoto J. math. 51 (2011), 127-147.
Supplements to non-lc ideal sheaves
(with Osamu Fujino and Karl Schwede), RIMS Kokyuroku Bessatsu, B24, Res. Inst. Math. Sci., Kyoto, 2011, 1--46
Subadditivity formula for multiplier ideals associated to log pairs
Proc. Amer. Math. Soc. 141 (2013), 93--102.
Adjoint ideals and a correspondence between log canonicity and F-purity
Algebra & Number Theory 7 (2013), 917--942.
On the F-purity of isolated log canonical singularities
(with Osamu Fujino), Compos. Math. 149 (2013), no.9, 1495--1510.
Characterization of varieties of Fano type via singularities of Cox rings
(with Yoshinori Gongyo, Shinnosuke Okawa, Akiyoshi Sannai), J. Algebraic. Geom. 24 (2015), 159--182.
Surfaces of globally F-regular and F-split type
(with Yoshinori Gongyo), Math. Ann. 364 (2016), 841--855.
Note: There is a typo in Remark 5.7 in the published version. The imcomplete sentence ``This contradicts the Main Theorem in" should be ``This contradicts Main Theorem in [I. Yu. Fedorov and S. A. Kudryavtsev, Q-complements on log surfaces, Tr. Mat. Inst. Steklova 246 (2004), Algebr. Geom. Metody, Svyazi i Prilozh.,181--182; translation in Proc. Steklov Inst. Math. 2004, no. 3 (246), 169--170]."
The weak ordinarity conjecture and F-singularities
(with Bhargav Bhatt and Karl Schwede) , Higher dimensional algebraic geometry, 11--39, Adv. Stud. Pure Math., 74, Math. Soc. Japan, Tokyo, 2017.
Comparing multiplier ideals to test ideals on numerically Q-Gorenstein varieties
(with Tommaso de Fernex, Roi Docampo and Kevin Tucker), Bull. London Math. Soc. 47 (2015), No.2, 359--369.
F-singularities: applications of characteristic p methods to singularity theory
(with Kei-ichi Watanabe), arXIv:1409.3473, to appear in Sugaku Expositions.
On the relationship between depth and cohomological dimension
(with Hailong Dao), Compos. Math. 152 (2016), no.4, 876--888.
Nilpotence of Frobenius action and the Hodge filtration on local cohomology
(with Vasudevan Srinivas), Adv. Math. 305 (2017), 456--478.
A Gorenstein criterion for strongly F-regular and log terminal singularities
(with Anurag Singh and Matteo Varbaro), Int. Math. Res. Not. IMRN 2017, no.21, 6484--6522.
General hyperplane sections of threefolds in positive characteristic
(wtih Kenta Sato), arXiv:1703.00770, preprint (2017), submitted.
Finitistic test ideals on numerically Q-Gorenstein varieties
arXiv:1709.09383, preprint (2017), submitted.
Erdoes # = 4 (P. Erdoes --> D. Kleitman --> L.Ein --> M. Mustata --> S. Takagi)
Annual Report 2011 [pdf]
Graduate School of Mathematical Sciences, University of Tokyo (in Japanese and English).
Invariant subrings under wild p-cyclic actions [pdf]
Proceedings of the 13th Seminar on Commutative Algebra (Jan. 30-Feb. 2, 2001), Hakone, Japan (in Japanese).
On jet schemes after Mustata [pdf]
Proceedings of the 15th Seminar on Commutative Algebra (Jan. 28-31, 2003), Nara, Japan (in Japanese).
Recent topics on multiplier ideals [pdf]
(written by Daisuke Hirose), Proceedings of the workshop "Arc spaces and Multiplier ideals" (Aug. 28-Sep. 1, 2006), RIMS.
可換環論の発展 -ホモロジカル予想を中心として- [pdf]
(with Ryo Takahashi), 第54回代数学シンポジウム報告集 (Aug. 3-6, 2009), 明治大学.
A book review of Positivity in Algebraic Geometry I, II by Robert Lazarsfeld [pdf]
Sugaku vol.62, 423-426, MSJ, 2010 (in Japanese).
On Parameter F-jumping numbers [pdf]
Slides for my talk at Special Session on Commutative Algebra, Joint AMS-MAA Mathematical Meetings (Jan. 7, 2011), New Orleans.
第59回代数学シンポジウム報告集 (Sep. 8-11, 2014), 東京大学.
都の西北代数幾何学シンポジウム報告集 (Nov. 15-18, 2016), 早稲田大学.