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Papers

List of Papers

Anabelian Geometry (General)

The absolute anabelian geometry of quasi-tripods
RIMS Preprint 1900 (March 2019): (PDF).
A note on an anabelian open basis for a smooth variety
RIMS Preprint 1898 (January 2019): (PDF).
The Grothendieck conjecture for the moduli spaces of hyperbolic curves of genus one (with Ryo Kinoshita and Chikara Nakayama) (PDF)
Kodai Mathematical Journal (Kodai Math. J.) 40 (2017), no. 3, 625-637.
On the pro-p absolute anabelian geometry of proper hyperbolic curves (PDF)
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) (PDF)
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 (PDF)
Kyushu Journal of Mathematics (Kyushu J. Math.) 71 (2017), no. 1, 1-29.
Finiteness of the moderate rational points of once-punctured elliptic curves (PDF)
Hokkaido Mathematical Journal (Hokkaido Math. J.) 45 (2016), no. 2, 271-291.
The pro-l outer Galois actions associated to modular curves of prime power level (with Yu Iijima) (PDF)
Journal de Théorie des Nombres de Bordeaux (J. Théor. Nombres Bordeaux) 30 (2018), no. 3, 781-799.
On the kernels of the pro-l outer Galois representations associated to hyperbolic curves over number fields (PDF)
Osaka Journal of Mathematics (Osaka J. Math.) 52 (2015), no. 3, 647-675.
The Grothendieck conjecture for hyperbolic polycurves of lower dimension (PDF)
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 (PDF)
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 (PDF)
Tohoku Mathematical Journal (Tohoku Math. J.) 65 (2013), no. 2, 231-242.
On monodromically full points of configuration spaces of hyperbolic curves (PDF)
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 (PDF)
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 (PDF)
Nagoya Mathematical Journal (Nagoya Math. J.) 203 (2011), 47-100.
Absolute anabelian cuspidalizations of configuration spaces of proper hyperbolic curves over finite fields (PDF)
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 (PDF)
Mathematical Journal of Okayama University (Math. J. Okayama Univ.) 51 (2009), 1-26.

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

Topics in the anabelian geometry of mixed-characteristic local fields (PDF)
to appear in Hiroshima Mathematical Journal (Hiroshima Math. J.)
Introduction to mono-anabelian geometry (PDF)
to appear in Proceedings of the conference “Fundamental Groups in Arithmetic Geometry”, Paris, France 2016.
Two categorical characterizations of local fields (PDF)
Hiroshima Mathematical Journal (Hiroshima Math. J.) 48 (2018), no. 3, 253-277.
Mono-anabelian reconstruction of number fields (PDF)
to appear in RIMS Kôkyûroku Bessatsu.
On the field-theoreticity of homomorphisms between the multiplicative groups of number fields (PDF)
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 (PDF)
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
RIMS Preprint 1888 (May 2018): Revised Version: (PDF).
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) (PDF)
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) (PDF)
Hiroshima Mathematical Journal (Hiroshima Math. J.) 41 (2011), no. 3, 275-342.

The Theory of Ordinary Curves and p-adic Teichmüller Theory

Hyperbolic ordinariness of hyperelliptic curves of lower genus in characteristic three (PDF)
to appear in Kyushu Journal of Mathematics (Kyushu J. Math.).
On the supersingular divisors of nilpotent admissible indigenous bundles (PDF)
Kodai Mathematical Journal (Kodai Math. J.) 42 (2019), no. 1, 1-47.
A note on dormant opers of rank p-1 in characteristic p (PDF)
to appear in Nagoya Mathematical Journal (Nagoya Math. J.).
Nilpotent admissible indigenous bundles via Cartier operators in characteristic three (PDF)
Kodai Mathematical Journal (Kodai Math. J.) 38 (2015), no. 3, 690-731.

General Arithmetic Geometry

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
RIMS Preprint 1894 (November 2018): (PDF).
Frobenius-projective structures on curves in positive characteristic
RIMS Preprint 1871 (April 2017): Revised Version: (PDF).
On ramified torsion points on a curve with stable reduction over an absolutely unramified base (PDF)
Osaka Journal of Mathematics (Osaka J. Math.) 54 (2017), no. 4, 769-789.
A pro-l version of the congruence subgroup problem for mapping class groups of genus one (with Yu Iijima) (PDF)
Journal of Algebra (J. Algebra) 520 (2019), 1-31.
Corrigendum to “Tame-blind extension of morphisms of truncated Barsotti-Tate group schemes” (PDF)
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 (PDF)
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 (PDF)
Hiroshima Mathematical Journal (Hiroshima Math. J.) 39 (2009), no. 1, 61-121.

Surveys

Progress in anabelian geometry (in Japanese)
(February 2019).
Introduction to inter-universal Teichmüller theory, Continued (PDF) (in Japanese)
RIMS Kôkyûroku Bessatsu B72 (2018), 209-309.
Introduction to inter-universal Teichmüller theory (PDF) (in Japanese)
to appear in RIMS Kôkyûroku Bessatsu.
On the injectivity portion of combinatorial cuspidalization (PDF) (in Japanese)
RIMS Kôkyûroku Bessatsu B19 (2010), 81-106.