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J-GLOBAL ID：200901067202719207   Update date: Jan. 30, 2024

Shimomura Katsumi

シモムラ カツミ | Shimomura Katsumi
Affiliation and department：
Kochi University

About Kochi University


Homepage URL  (1)： http://www.math.kochi-u.ac.jp/katsumi/index.html
Research field  (1)： Geometry
Research keywords  (2)： Stable homotopy theory ,  Homotopy theory
Research theme for competitive and other funds  (26)：
  • 2014 - 2017 Study on the Picard groups of stable homotopy categories
  • 2011 - 2013 Study on chromatic phenomena in the stable homotopy category
  • 2008 - 2010 Study of Hopf spaces and p-compact groups
  • 2006 - 2008 Study on homotopy groups of localized spectra
  • 2005 - 2007 Study of the higher homotopy commutative Hopf spaees and its application to the higher category
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Papers (61)：
  • Eva Belmont, Katsumi Shimomura. Beta families arising from a v_2^9 self map on S/(3,v_1^8). Algebraic & Geometric Topology. 2022
  • Katsumi Shimomura. A relation among Hopkins' Picard groups of the localized categories with respect to finite wedges of the Morava K-theories. Trans. Amer. Math. Soc. 2022. 375. 9. 6337-6361
  • Ippei Ichigi, Katsumi Shimomura. On the Picard group graded homotopy groups of a finite type two K(2)-local spectrum at the prime three. Homology, Homotopy and Applications. 2022. 24. 1. 177-203
  • Kato Ryo, SHIMOMURA Katsumi. A note on products in stable homotopy groups of spheres via the classical Adams spectral sequence. Math. J. Okayama Univ. 2021. 63. 107-122
  • SHIMOMURA Katsumi. A note on Hopkins' Picard groups of the stable homotopy categories of L_n-local spectra. Publ. RIMS, Kyoto Univ. 2020. 56. 1. 195-205
ｍore...
MISC (44)：
  • I. Ichigi, K. Shimomura. The chromatic $E_1$-term $mbox{Ext}^{0}(v_3^{-1}BP_*/(2,v_1,v_2^{\infty})[t_1]). Mem. Fac. Sci. Kochi Univ. (Math.). 2000. 21. 63-71
  • On the action of β1 in the stable homotopy of spheres at the prime 3. Hiroshima mathematical journal. 2000. 30. 2. 345-362
  • The homotopy groups of the L2-localized mod 3 Moore spectrum. Journal of the mathematical society of Japan. 2000. 52. 1. 65-90
  • The Adams-Novikov E2-term for computing π*(L2V(0)) at the prime 2. Topology and its Application. 1999. 96. 133-152
  • The homotopy groups of an L2-localized type one finite spectrum at the prime 2. Hiroshima Math. J. 1998. 28. 113-127
ｍore...
Education (4)：
  • 1976 - 1984 Hiroshima University
  • - 1984 Hiroshima University Graduate School, Division of Natural Science
  • 1972 - 1976 Ehime University Faculty of Science
  • - 1976 Ehime University Faculty of Science
Professional career (1)：
  • Doctor of Science (Hiroshima University)
Work history (8)：
  • 2019 - 現在 Kochi University
  • 2000 - 2018 Kochi University
  • 1997 - 2000 Kochi University
  • 1997 - 2000 Kochi University, associated professor
  • 1992 - 1997 Tottori University
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Association Membership(s) (4)：
American Mathematical Society(米国数学会) ,  日本数学会 ,  Mathematical Society of Japan ,  American Mathematical Society
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