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Anabelian Geometry (General)

• Combinatorial construction of the absolute Galois group of the field of rational numbers (with Shinichi Mochizuki and Shota Tsujimura)
  RIMS Preprint 1935 (December 2020): revised version: (PDF).

• The geometry of hyperbolic curvoids (PDF)
  to appear in Publications of the Research Institute for Mathematical Sciences (Publ. Res. Inst. Math. Sci.).

• On the geometric subgroups of the étale fundamental groups of varieties over real closed fields (PDF) (with Takahiro Murotani and Shota Tsujimura)
  to appear in Mathematische Zeitschrift (Math. Z.).

• The absolute anabelian geometry of quasi-tripods (PDF)
  to appear in Kyoto Journal of Mathematics (Kyoto J. Math.).

• A note on an anabelian open basis for a smooth variety
  Tohoku Mathematical Journal (Tohoku Math. J.) (2) 72 (2020), no. 4 , 537-550.

• The Grothendieck conjecture for the moduli spaces of hyperbolic curves of genus one (with Ryo Kinoshita and Chikara Nakayama)
  Kodai Mathematical Journal (Kodai Math. J.) 40 (2017), no. 3, 625-637.

• On the pro-p absolute anabelian geometry of proper hyperbolic curves
  Journal of Mathematical Sciences, The University of Tokyo (J. Math. Sci. Univ. Tokyo) 25 (2018), no. 1, 1-34.

• Categorical characterization of strict morphisms of fs log schemes (with Chikara Nakayama)
  Mathematical Journal of Okayama University (Math. J. Okayama Univ.) 59 (2017), 1-19.

• On the Grothendieck conjecture for affine hyperbolic curves over Kummer-faithful fields
  Kyushu Journal of Mathematics (Kyushu J. Math.) 71 (2017), no. 1, 1-29.

• The pro-l outer Galois actions associated to modular curves of prime power level (with Yu Iijima)
  Journal de Théorie des Nombres de Bordeaux (J. Théor. Nombres Bordeaux) 30 (2018), no. 3, 781-799.

• The Grothendieck conjecture for hyperbolic polycurves of lower dimension
  Journal of Mathematical Sciences, The University of Tokyo (J. Math. Sci. Univ. Tokyo) 21 (2014), no. 2, 153-219.

• Conditional results on the birational section conjecture over small number fields
  Automorphic Forms and Galois Representations. vol. 2, 187-230, London Math. Soc. Lecture Note Ser., 415, Cambridge Univ. Press, Cambridge, 2014.

• On a problem of Matsumoto and Tamagawa concerning monodromic fullness of hyperbolic curves: genus zero case
  Tohoku Mathematical Journal (Tohoku Math. J.) (2) 65 (2013), no. 2, 231-242.

• On monodromically full points of configuration spaces of hyperbolic curves
  The Arithmetic of Fundamental Groups - PIA 2010, 167-207, Contrib. Math. Comput. Sci., 2, Springer, Heidelberg, 2012.

• Existence of nongeometric pro-p Galois sections of hyperbolic curves
  Publications of the Research Institute for Mathematical Sciences (Publ. Res. Inst. Math. Sci.) 46 (2010), no. 4, 829-848.

• Galois-theoretic characterization of isomorphism classes of monodromically full hyperbolic curves of genus zero
  Nagoya Mathematical Journal (Nagoya Math. J.) 203 (2011), 47-100.

• Absolute anabelian cuspidalizations of configuration spaces of proper hyperbolic curves over finite fields
  Publications of the Research Institute for Mathematical Sciences (Publ. Res. Inst. Math. Sci.) 45 (2009), no. 3, 661-744.

• On the fundamental groups of log configuration schemes
  Mathematical Journal of Okayama University (Math. J. Okayama Univ.) 51 (2009), 1-26.

Anabelian Geometry (Number Fields and Mixed-characteristic Local Fields)

• On the outer automorphism groups of the absolute Galois groups of mixed-characteristic local fields (with Yu Nishio)
  RIMS Preprint 1931 (November 2020): (PDF).

• Topics in the anabelian geometry of mixed-characteristic local fields
  Hiroshima Mathematical Journal (Hiroshima Math. J.) 49 (2019), no. 3, 323-398.

• Two categorical characterizations of local fields
  Hiroshima Mathematical Journal (Hiroshima Math. J.) 48 (2018), no. 3, 253-277.

• Mono-anabelian reconstruction of number fields
  RIMS Kôkyûroku Bessatsu B76 (2019), 1-77.

• On the field-theoreticity of homomorphisms between the multiplicative groups of number fields
  Publications of the Research Institute for Mathematical Sciences (Publ. Res. Inst. Math. Sci.) 50 (2014), no. 2, 269-285.

• A note on the geometricity of open homomorphisms between the absolute Galois groups of p-adic local fields
  Kodai Mathematical Journal (Kodai Math. J.) 36 (2013), no. 2, 284-298.

Combinatorial Anabelian Geometry

• Reconstruction of profinite graphs from profinite groups of PIPSC-type
  Hokkaido Mathematical Journal (Hokkaido Math. J.) 49 (2020), no. 3, 399-430.

• Group-theoreticity of numerical invariants and distinguished subgroups of configuration space groups (with Arata Minamide and Shinichi Mochizuki)
  RIMS Preprint 1870 (March 2017): revised version: (PDF).

• Topics surrounding the combinatorial anabelian geometry of hyperbolic curves IV: discreteness and sections (with Shinichi Mochizuki)
  RIMS Preprint 1788 (September 2013): revised version: (PDF).

• Topics surrounding the combinatorial anabelian geometry of hyperbolic curves III: tripods and tempered fundamental groups (with Shinichi Mochizuki)
  RIMS Preprint 1763 (November 2012): revised version: (PDF).

• Topics surrounding the combinatorial anabelian geometry of hyperbolic curves II: tripods and combinatorial cuspidalization (with Shinichi Mochizuki)
  RIMS Preprint 1762 (November 2012): revised version: (PDF).

• Topics surrounding the combinatorial anabelian geometry of hyperbolic curves I: inertia groups and profinite Dehn twists (with Shinichi Mochizuki)
  Galois-Teichmüller Theory and Arithmetic Geometry, 659-811, Adv. Stud. Pure Math., 63, Math. Soc. Japan, Tokyo, 2012.

• On the combinatorial anabelian geometry of nodally nondegenerate outer representations (with Shinichi Mochizuki)
  Hiroshima Mathematical Journal (Hiroshima Math. J.) 41 (2011), no. 3, 275-342.

Related to Torsion Points on Hyperbolic Curves

• Ramification of torsion points on a curve with superspecial reduction over an absolutely unramified base
  RIMS Preprint 1912 (February 2020): (PDF).

• On ramified torsion points on a curve with stable reduction over an absolutely unramified base
  Osaka Journal of Mathematics (Osaka J. Math.) 54 (2017), no. 4, 767-787.

• Finiteness of the moderate rational points of once-punctured elliptic curves
  Hokkaido Mathematical Journal (Hokkaido Math. J.) 45 (2016), no. 2, 271-291.

• On the kernels of the pro-l outer Galois representations associated to hyperbolic curves over number fields
  Osaka Journal of Mathematics (Osaka J. Math.) 52 (2015), no. 3, 647-675.

The Theory of Ordinary Curves and p-adic Teichmüller Theory

• On indigenous bundles in characteristic three
  RIMS Preprint 1918 (June 2020): (PDF).

• Hyperbolic ordinariness of hyperelliptic curves of lower genus in characteristic three
  Kyushu Journal of Mathematics (Kyushu J. Math.) 73 (2019), no. 2, 317-335.

• On the supersingular divisors of nilpotent admissible indigenous bundles
  Kodai Mathematical Journal (Kodai Math. J.) 42 (2019), no. 1, 1-47.

• A note on dormant opers of rank p-1 in characteristic p
  Nagoya Mathematical Journal (Nagoya Math. J.) 235 (2019), 115-126.

• Nilpotent admissible indigenous bundles via Cartier operators in characteristic three
  Kodai Mathematical Journal (Kodai Math. J.) 38 (2015), no. 3, 690-731.

General Arithmetic Geometry

• Explicit estimates in inter-universal Teichmüller theory (with Shinichi Mochizuki, Ivan Fesenko, Arata Minamide, and Wojciech Porowski)
  RIMS Preprint 1933 (November 2020): (PDF).

• A note on the existence of Tango curves (PDF)
  to appear in Kodai Mathematical Journal (Kodai Math. J.).

• A note on Schwarzian derivatives and Sugiyama-Yasuda locally exact differentials
  RIMS Preprint 1914 (April 2020): (PDF).

• Frobenius-affine structures and Tango curves
  RIMS Preprint 1913 (April 2020): (PDF).

• Pseudo-rigid p-torsion finite flat commutative group schemes
  RIMS Preprint 1911 (February 2020): revised version: (PDF).

• A note on torsion points on ample divisors on abelian varieties
  RIMS Preprint 1909 (November 2019): (PDF).

• Integrable connections III: Frobenius-descent data
  RIMS Preprint 1904 (July 2019): (PDF).

• Integrable connections II: divided power stratifications
  RIMS Preprint 1903 (July 2019): (PDF).

• Integrable connections I: two fundamental correspondences
  RIMS Preprint 1902 (July 2019): (PDF).

• Homotopy sequences for varieties over curves (PDF)
  to appear in Kobe Journal of Mathematics (Kobe J. Math.).

• Frobenius-projective structures on curves in positive characteristic
  Publications of the Research Institute for Mathematical Sciences (Publ. Res. Inst. Math. Sci.). 56 (2020), no. 2, 401-430.

• A pro-l version of the congruence subgroup problem for mapping class groups of genus one (with Yu Iijima)
  Journal of Algebra (J. Algebra) 520 (2019), 1-31.

• Corrigendum to “Tame-blind extension of morphisms of truncated Barsotti-Tate group schemes”
  Journal of Mathematical Sciences, The University of Tokyo (J. Math. Sci. Univ. Tokyo) 19 (2012), no. 3, 309-312.

• Tame-blind extension of morphisms of truncated Barsotti-Tate group schemes
  Journal of Mathematical Sciences, The University of Tokyo (J. Math. Sci. Univ. Tokyo) 16 (2009), no. 1, 23-54.

• The exactness of the log homotopy sequence
  Hiroshima Mathematical Journal (Hiroshima Math. J.) 39 (2009), no. 1, 61-121.

Surveys

• Progress in anabelian geometry (in Japanese)
  (February 2019).

• Introduction to mono-anabelian geometry (PDF)
  to appear in Proceedings of the conference “Fundamental Groups in Arithmetic Geometry”, Paris, France 2016.

• Introduction to inter-universal Teichmüller theory, continued (in Japanese)
  RIMS Kôkyûroku Bessatsu B72 (2018), 209-307.

• Introduction to inter-universal Teichmüller theory (in Japanese)
  RIMS Kôkyûroku Bessatsu B76 (2019), 79-183.

• On the injectivity portion of combinatorial cuspidalization (in Japanese)
  RIMS Kôkyûroku Bessatsu B19 (2010), 81-106.