Nagano Koichi

Affiliation
Faculty of Pure and Applied Sciences
Official title
Assistant Professor
Research fields
Geometry
Research keywords
Riemannian geometry
Riemannian manifold
CAT(k) space
Alexandrov space
Homology manifold
Research projects
曲率が上に有界な測地的完備距離空間の幾何構造の研究2020-04 -- 2025-03永野幸一Japan Society of for the Promotion of Science/科学研究費 基盤研究(C)4,550,000Yen
曲率が上に有界なホモロジー多様体に対する幾何学的トポロジーの展開2014-04 -- 2018-03永野幸一Japan Society for the Promotion of Science/挑戦的萌芽研究1,950,000Yen
Geometric topology of spaces with an upper curvature bound2009-04 -- 2012-03/Grant-in-Aid for Scientific Research
Study of Topological Structure of Metric Spaces of Non-Positive Curvature2006-04 -- 2009-03/Grant-in-Aid for Scientific Research
非正曲率距離空間の位相構造の研究                        2006 -- 2008Japan Society of for the Promotion of Science/若手研究(B)2,530,000Yen
Career history
2007-02 -- (current)University of TsukubaInstitute of MathematicsAssistant Professor
2001-04 -- 2007-01Tohoku UniversityMathematical InstituteResearch Associate
2004-04 -- 2006-032004 JSPSPostdoctoral Fellow for Research Abroad
2000-01 -- 2001-032000 JSPSDoctoral Fellow (DC2)
Degree
2001-03Doctor of MathematicsKyushu University
Academic societies
-- (current)日本数学会
Articles
  • Asymptotic topological regularity of CAT(0) spaces
    Nagano Koichi
    Annals of Global Analysis and Geometry/61(2)/pp.427-457, 2022
  • Volume pinching theorems for CAT(1) spaces
    Nagano Koichi
    American Journal of Mathematics/144(1)/pp.267-285, 2022
  • Topological regularity of spaces with an upper curvature bound
    Lytchak Alexander; Nagano Koichi
    Journal of the European Mathematical Society/24(1)/pp.137-165, 2022
  • Geodesically complete spaces with an upper curvature bound
    Lytchak Alexander; Nagano Koichi
    Geometric and Functional Analysis/29(1)/pp.295-342, 2019
  • Free construction of CAT(1) spaces
    Nagano Koichi
    Archiv der Mathematik/88/p.173--180, 2007-01
  • Fixed point sets of parabolic isometries of CAT(0)-spaces
    Fujiwara Koji; Nagano Koichi; Shioya Takashi
    Commentarii Mathematici Helvetici/81/p.305--335, 2006-01
  • The asymptotic cones of manifolds of roughly non-negative radial curvature
    Mashiko Yukihiro; Nagano Koichi; Otsuka Kazuo
    Journal of the Mathematical Society of Japan/57/p.55--68, 2005-01
  • A sphere theorem for 2-dimensional CAT(1)-spaces
    Nagano Koichi
    Pacific Journal of Mathematics/206/p.401--423, 2002-01
  • A volume convergence theorem for Alexandrov spaces with curvature bounded above
    Nagano Koichi
    Mathematisches Zeitschrift/241/p.127--163, 2002-01
  • Asymptotic rigidity of Hadamard 2-spaces
    Nagano Koichi
    Journal of the Mathematical Society of Japan/52/p.699--723, 2000-01
Books
  • On Geometry of Spaces with Curvature Bounded Above
    永野幸一
    2001-03
Teaching
2021-10 -- 2022-02Research in Geometry IIAUniversity of Tsukuba.
2021-10 -- 2022-02Research in Geometry IVBUniversity of Tsukuba.
2021-10 -- 2022-02Research in Geometry VAUniversity of Tsukuba.
2021-10 -- 2022-02Research in Geometry IVAUniversity of Tsukuba.
2021-04 -- 2021-08Seminar on GeometryUniversity of Tsukuba.
2021-10 -- 2022-02Seminar on GeometryUniversity of Tsukuba.
2021-04 -- 2021-08Research in Geometry VBUniversity of Tsukuba.
2021-04 -- 2021-08Research in Geometry IBUniversity of Tsukuba.
2021-04 -- 2021-08Research in Geometry IIBUniversity of Tsukuba.
2021-04 -- 2021-08Research in Geometry IVAUniversity of Tsukuba.
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(Last updated: 2022-02-18)