NAGANO Koichi

Affiliation
Institute of Pure and Applied Sciences
Official title
Associate Professor
Research fields
Geometry
Research keywords
Riemannian geometry
Riemannian manifold
CAT(k) space
Alexandrov space
Homology manifold
Research projects
Study of the geometric structure of geodesically complete metric spaces with curvature bounded above2020-04 -- 2025-03NAGANO KoichiJapan Society for the Promotion of Science/Grant-in-Aid for Scientific Research(C)4,550,000Yen
Developments of the geometric topology of homology manifolds with curvature bounded above2014-04 -- 2018-03NAGANO KoichiJapan Society for the Promotion of Science/Grant-in-Aid for Challenging Exploratory Research1,950,000Yen
Geometric topology of spaces with curvature bounded above2009-04 -- 2013-03NAGANO KoichiJapan Society for the Promotion of Science/Grant-in-Aid for Young Scientists(B)4,290,000Yen
Study of the topological structure of metric spaces of non-positive curvature2006-04 -- 2009-03NAGANO KoichiJapan Society for the Promotion of Science/Grant-in-Aid for Young Scientists(B)3,830,000Yen
Career history
2023-08 -- (current)University of TsukubaInstitute of Pure and Applied Sciences, Department of MathematicsAssociate Professor
2007-02 -- 2023-07University 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, 2022-03
  • Volume pinching theorems for CAT(1) spaces
    Nagano Koichi
    American Journal of Mathematics/144(1)/pp.267-285, 2022-02
  • 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
2024-04 -- 2024-08Research in Geometry IBUniversity of Tsukuba.
2024-10 -- 2025-02Research in Geometry IIAUniversity of Tsukuba.
2024-10 -- 2025-02Research in Geometry IAUniversity of Tsukuba.
2024-04 -- 2024-08Research in Geometry IIIBUniversity of Tsukuba.
2024-04 -- 2024-08Seminar on MathematicsUniversity of Tsukuba.
2024-10 -- 2025-02Seminar on MathematicsUniversity of Tsukuba.
2024-04 -- 2024-08Geometry IUniversity of Tsukuba.
2024-04 -- 2024-08Research in Geometry IIIAUniversity of Tsukuba.
2024-10 -- 2025-02Research in Geometry VAUniversity of Tsukuba.
2024-04 -- 2024-08Research in Geometry VBUniversity of Tsukuba.
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(Last updated: 2024-09-19)