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[AEC] Arithmetic elliptic curves in general position, Math. J. Okayama Univ. 52 (2010), 1–28

[B] Bogomolov's proof of the geometric version of the Szpiro conjecture from the point of view of inter-universal Teichmüller theory, preprint 2015

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[F-II] The geometry of frobenioids II: Poly-Frobenioids, Kyushu J. Math. 62 (2008), 401–460

[IUTch-I] Inter-universal Teichmüller theory I: Constructions of Hodge theaters, preprint 2012–2016

[IUTch-II] Inter-universal Teichmüller theory II: Hodge-Arakelov-theoretic evaluation, preprint 2012–2016

[IUTch-III] Inter-universal Teichmüller theory III: Canonical splittings of the log-theta-lattice, preprint 2012–2016

[IUTch-IV] Inter-universal Teichmüller theory IV: Log-volume computations and set-theoretic foundations, preprint 2012–2016

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[TAAG-I] Topics in absolute anabelian geometry I: Generalities, J. Math. Sci. Univ. Tokyo 19 (2012), 139–242