Research keywords (8):
loop space
, operad
, discrete Morse theory
, homotopy group
, model category
, classifying space
, category and functor
, homology
Research theme for competitive and other funds (9):
2022 - 分野を超えて数学を語るコミュニティを創りたい!
2020 - ホプフォロジカル代数のホモトピー論的研究
2020 - Homotopy theory of Hopfological algebra
2015 - 2019 Construction of a new model for configuration spaces by means of discrete Morse theory
2011 - 2014 Combinatorial mathods in the study of topology of configuration spaces and their applications
2005 - 2008 On unstable higher periodicity phenomena in model categories
2002 - 2004 The study of global structure of unstable homotopy groups by higher EHP sequence
The study of the $v_n$-Bockstein operations on the homology of loop spaces
Construction of spectral sequences for loop spaces
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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. 2017. 35. 305-435