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J-GLOBAL ID:200901084635555839   Update date: Sep. 21, 2019

TAMAKI DAI

タマキダイ | TAMAKI DAI
Affiliation and department:
Job title: Professor
Homepage URL  (2): http://pantodon.shinshu-u.ac.jp/http://pantodon.shinshu-u.ac.jp/
Research field  (1): Geometry
Research theme for competitive and other funds  (6):
  • Construction of spectral sequences for loop spaces
  • The study of the $v_n$-Bockstein operations on the homology of loop spaces
  • 2002 - 2004 The study of global structure of unstable homotopy groups by higher EHP sequence
  • 2005 - 2008 On unstable higher periodicity phenomena in model categories
  • 2011 - 2014 Combinatorial mathods in the study of topology of configuration spaces and their applications
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Papers (16):
  • Dai Tamaki, Hiro Lee Tanaka. Stellar stratifications on classifying spaces. Trends in Mathematics. 2019. 287-313
  • Vidit Nanda, Dai Tamaki, Kohei Tanaka. Discrete Morse theory and classifying spaces. Advances in Mathematics. 2018. 340. 723-790
  • Dai Tamaki. Cellular stratified spaces. Combinatorial and Toric Homotopy: Introductory Lectures. Lecure Notes Series, Institute for Mathematical Sciences, National University of Singapore. 2018. 35. 305-435
  • Mizuki Furuse, Takashi Mukouyama, Dai Tamaki. Totally normal cellular stratified spaces and applications to the configuration space of graphs. Topological Methods in Nonlinear Analysis. 2015. 45. 169-214
  • Ibai Basabe, Jesus Gonzalez, Yuli Rudyak, Dai Tamaki. Higher topological complexity and its symmetrization. Algebraic and Geometric Topology. 2014. 14. 2103-2124
more...
Books (4):
  • 岩波講座 現代数学の展開 「一般コホモロジー」
    岩波書店 2002
  • Generalized Cohomology
    The American Mathematical Society 2006
  • Groups, homotopy and configuration spaces (Tokyo)
    Mathematical Sciences Publishers 2008
  • 広がりゆくトポロジーの世界
    現代数学社 2012
Lectures and oral presentations  (72):
  • Stable retractions of CW-complexes whose cohomologies are small exterior algebras
    (ホモトピー論研究集会 1988)
  • On the convergence problem of cobar-type spectral sequence
    (トポロジーシンポジウム 1993)
  • Morava K-theory of iterated loop spaces and related topics
    (福岡ホモトピー論セミナー 1995)
  • vn-Bocksteins on Dp(X)
    (第1回日本-メキシコ トポロジーシンポジウム 1997)
  • Configuration space of little cubes and its applications
    (九州大学大学院数理学研究科談話会 1997)
more...
Education (4):
  • - 1987 Kyoto University Faculty of Science Mathematics
  • - 1989 Kyoto University Graduate School, Division of Natural Science Mathematics
  • - 1993 Kyoto University Graduate School, Division of Natural Science Mathematics
  • - 1993 University of Rochester Graduate School of Mathematics Mathematics
Professional career (1):
  • Ph.D. in Mathematics (University of Rochester (USA))
Association Membership(s) (2):
The Mathematical Society of Japan ,  The American Mathematical Society
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