研究上の興味

• リーマン幾何

• 距離空間の幾何

• 幾何群論

論文とプレプリント

• The Andoni-Naor-Neiman inequalities and isometric embeddability into a CAT(0) space, preprint, arXiv.

• Inequalities on Six Points in a CAT(0) Space, Int. Math. Res. Not. IMRN 2025, no. 6, Paper No. rnaf060, 10 pp.  arXiv.

• A non-geodesic analogue of Reshetnyak's majorization theorem, Anal. Geom. Metr. Spaces 11 (2023), no. 1, Paper No. 20220151, 22 pp.

• An intrinsic characterization of five points in a CAT(0) space,  Anal. Geom. Metr. Spaces, 8 (2020), no.1, 114--165. Journal website (open access)

• (with Takefumi Kondo and Takato Uehara) On a question of Gromov about the Wirtinger inequalities, Geom. Dedicata,  195(1),  203--214 (2018).

• Fixed point property for a CAT(0) space which admits a proper cocompact group action, Kodai Math. J. Vol.39 (2016), 129--153.

• (with Takefumi Kondo) Uniform estimates of nonlinear spectral gaps, Graphs and Combinatorics, Vol.31 (2015), Issue 5, 1517--1530.

• (with Koji Fujiwara) Random groups have fixed points on CAT(0) cube complexes,  Proc. Amer. Math. Soc. Vol.140 (2012), 1023--1031.

• CAT(0) spaces on which a certain type of singularity is bounded, Kodai Math. J.  Vol.33 (2010), 398--415.

• Continuity of a certain invariant of a measure on a CAT(0) space, Nihonkai Math. J. Vol.20 (2009), 85--97.

リンク

• English version of my homepage