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TAMAKI DAI|Shinshu University Researcher List

TAMAKI DAI

Academic Assembly School of Science and Technology Institute of Science

Faculty of Science Department of Mathematics Course of Mathematical Sciences 

Professor Dean of Faculty of Science 

Degree

  • Ph.D. in Mathematics, University of Rochester (USA)

Research Keyword

    loop space, category and functor, classifying space, discrete Morse theory, homology, homotopy group, model category, operad

Field Of Study

  • Geometry, homotopy theory

Mail Address

    rivulus★shinshu-u.ac.jp

Career

  • 2015 - 2015
    Tokyo Metropolitan University, lecturer
  • 2010 - 2010
    京都大学大学院理学研究科 非常勤講師
  • 2009 - 2009
    琉球大学理学部 非常勤講師
  • 2004 - 2004
    東京大学大学院数理科学研究科 非常勤講師
  • 2003 - 2003
    京都大学大学院理学研究科 非常勤講師
  • 1997 - 1997
    九州大学大学院数理学研究科 非常勤講師

Educational Background

  • 1989 - 1993, University of Rochester
  • 1989 - 1993, University of Rochester, Graduate School of Mathematics, Mathematics
  • 1989 - 1993, Kyoto University, Graduate School, Division of Natural Science, Mathematics
  • 1987 - 1989, Kyoto University, Graduate School, Division of Natural Science, Mathematics
  • 1983 - 1987, Kyoto University, Faculty of Science, Mathematics

Paper

  • Faces of directed edge polytopes
    Yasuhide Numata and Yusuke Takahashi and Dai Tamaki
    Australasian Journal of Combinatorics, 88(1), 77-96, Dec. 2023, Refereed
  • Faces of directed edge polytopes
    Yasuhide Numata and Yusuke Takahashi and Dai Tamaki
    Seminaire Lotharingien de Combinatoire, 89B, 7-12, Feb. 2023, Refereed
  • Stellar stratifications on classifying spaces
    Dai Tamaki, Hiro Lee Tanaka
    Trends in Mathematics, 287-313, 2019, Refereedリポジトリ電子ジャーナル
  • Cellular stratified spaces
    Dai Tamaki
    Combinatorial and Toric Homotopy: Introductory Lectures. Lecure Notes Series, Institute for Mathematical Sciences, National University of Singapore., 35, 305-435, 2018, Refereedリポジトリ電子ジャーナル
  • Discrete Morse theory and classifying spaces
    Vidit Nanda, Dai Tamaki, Kohei Tanaka
    Advances in Mathematics, 340, 723-790, 2018, Refereedリポジトリ電子ジャーナル
  • Totally normal cellular stratified spaces and applications to the configuration space of graphs
    Mizuki Furuse, Takashi Mukouyama, Dai Tamaki
    Topological Methods in Nonlinear Analysis, 45, 169-214, Mar. 2015, RefereedWebofScienceリポジトリ電子ジャーナル
  • Higher topological complexity and its symmetrization
    Ibai Basabe, Jesus Gonzalez, Yuli Rudyak, Dai Tamaki
    Algebraic and Geometric Topology, 14, 2103-2124, 2014, RefereedWebofScienceリポジトリ電子ジャーナル
  • Twisting Segal's K-homology theory
    Dai Tamaki
    Noncommutative Geometry and Physics, 3, 177-195, 2013リポジトリ電子ジャーナル
  • Two-sided bar constructions for partial monoids and applications to K-homology
    Dai Tamaki
    Noncommutative Geometry and Physics, 3, 197-235, 2013リポジトリ電子ジャーナル
  • The Salvetti complex and the little cubes
    Dai Tamaki
    Journal of European Mathematical Society, 14, 801-840, 2012, RefereedWebofScienceリポジトリ電子ジャーナル
  • On the homology of configuration spaces associated to centers of mass
    Dai Tamaki
    Arrangements of hyperplanes---{S}apporo 2009, 62, 417-457, 2012, Refereedリポジトリ
  • On the $E^1$-term of the gravity spectral sequence
    Dai Tamaki
    Geometry and Topology Monographs, 10, 341-376, 2006, Refereed
  • Homology operations and v(n)-Bockstein operations
    D. Tamaki
    Topology and its Applications, 128(2-3), 209-229, 2003, RefereedWebofScience
  • Some cohomotopy groups of suspended projective planes
    H. Kachi, J. Mukai, T. Nozaki, Y. Sumida, D. Tamaki
    Mathematical Journal of Okayama University, 43, 105-121, 2002, Refereed
  • The fiber of Freudenthal suspension and Morava K-theory of $\Omega^kS^{2\ell+1}$
    Dai Tamaki
    Contemporary Mathematics, 293, 299-329, 2002, Refereed
  • Little cubes and homotopy theory
    Dai Tamaki
    Morphismos, 5, 33-60, 2000, Refereed
  • On a space realizing the v1-torsion part of the mod p homotopy groups of S3
    Dai Tamaki
    Contemporary Mathematics, 158, 229-267, 1994, Refereed
    Lead
  • A Dual Rothenberg-Steenrod spectral sequence
    Dai Tamaki
    Topology, 33, 631-662, 1994, Refereed
  • Stable retraction of CW-complexes whose cohomologies are small exterior algebras
    Dai Tamaki
    Journal of Mathematics of Kyoto University, 33, 1097-1102, 1993, Refereed

MISC

  • K理論と安定ホモトピー論
    玉木 大
    数理科学, Sep. 2024, Invited
  • Category theory and topology
    Dai Tamaki
    現代思想, Jul. 2020, Invited
    Lead, Last, Corresponding
  • ホモトピーという考え方の拡がり
    玉木 大
    数理科学, (5月号), May 2019
  • 代数的トポロジー (特集 目に見えない図形を扱うには) -- (代数のことばで幾何を扱う)
    玉木 大;
    数学セミナー, 56(1), 32-35, Jan. 2017
  • 位相 (特集 現代数学の発想)
    玉木 大;
    数学セミナー, 53(4), 28-33, Apr. 2014
  • 被覆という考え方 (特集 被覆のはなし)
    玉木 大;
    数学セミナー, 52(1), 13-17, Jan. 2013
  • トポロジーは応用できるか?
    玉木 大;
    数学通信, 16(4), 16-27, Feb. 2012
  • Combinatorial Configuration Spaces
    Dai Tamaki
    Proceedings of 2011 International Symposium on Nonlinear Theory and its Applications, 2000--2003, 2011, Refereed
  • エレガントな解答をもとむ 解答--出題 2008年1月号
    西山 豊; 玉木 大;
    数学セミナー, 47(4), 94-100, Apr. 2008
  • エレガントな解答をもとむ 解答 出題2006年7月号
    矢ヶ部 巖; 玉木 大;
    数学セミナー, 45(10), 88-92, Oct. 2006
  • エレガントな解答をもとむ 解答 出題 2005年9月号
    渡辺 守; 玉木 大;
    数学セミナー, 44(12), 92-97, Dec. 2005
  • エレガントな解答をもとむ
    清宮 俊雄; 大島 邦夫; 玉木 大;
    数学セミナ-, 40(4), 86-91, Apr. 2001
  • エレガントな解答をもとむ
    玉木 大; 山田 裕史; 今井 貞三;
    数学セミナ-, 40(1), 100-108, Jan. 2001

Books and other publications

  • Fiber bundles and homotopy
    Dai Tamaki
    World Scientific., - 2021
    ISBN:9789811237997
  • ファイバー束とホモトピー
    玉木大著
    森北出版, - 2020
    ISBN:9784627054615
  • 広がりゆくトポロジーの世界
    玉木 大, Single work
    現代数学社, Nov. 2012
  • Geometry and Topology Monographs 13
    Norio Iwase, Toshitake Kohno, Ran Levi, Dai Tamaki, Jie Wu, Joint work, Groups, homotopy and configuration spaces (Tokyo)
    Mathematical Sciences Publishers, 2008
  • Generalized Cohomology
    Akira Kono, Dai Tamaki, Joint work
    The American Mathematical Society, 2006
  • 岩波講座 現代数学の展開 「一般コホモロジー」
    河野明, 玉木大, Joint work
    岩波書店, 2002

Lectures, oral presentations, etc.

  • Cotorsion pairs in Hopfological algebra
    Dai Tamaki
    Annual conference on homotopy theory, 06 Nov. 2021
  • Applications of functor homology to weighted networks
    Dai Tamaki
    The Week of Applied Mathematical Modelling, 09 Oct. 2019
  • Stratifications on classifying spaces of acyclic categories
    Dai Tamaki
    Mapping Spaces in Algebraic Topology, 30 Aug. 2018, Invited
  • Functorial discrete Morse theory
    Dai Tamaki
    Braid Groups, Configuration Spaces, and Homo- topy Theory, 25 Jul. 2018, Invited
  • Stratifications on classifying spaces of categories
    Dai Tamaki
    7th East Asian Conference on Algebraic Topology, 03 Dec. 2017, Invited
  • Combinatorial gradient flows on cell complexes
    Dai Tamaki
    第12回 鹿児島 代数・解析・幾何学セミナー, 15 Feb. 2017, Invited
  • A combinatorial model for graph braid groups
    Dai Tamaki
    The 2nd mini workshop on knot theory, 16 Dec. 2016, IBS Center for Geometry and Physics, Pohang, Korea, Invited
  • An introduction to directed homotopy theory
    Dai Tamaki
    代数, 論理, 幾何と情報科学研究集会, 28 Aug. 2016, Invited
  • 小圏の分類空間とその応用
    玉木 大
    第16回JMO夏季セミナー, 23 Aug. 2016, 数学オリンピック財団, Invited
  • Configuration spaces and homotopy theory
    Dai Tamaki
    日本数学会年会, 18 Mar. 2016, 日本数学会, Invited
  • Discrete Morse theory and classifying spaces
    Dai Tamaki
    Braids, Configuration Spaces, and Quantum Topology, 10 Sep. 2015, Invited
  • Discrete Morse theory and classifying spaces of 2-categories
    Dai Tamaki
    Workshop on Applied Topology, 21 Aug. 2015, Invited
  • トポロジカル相からK理論へ
    Dai Tamaki
    Summer School 数理物理 2014, 29 Aug. 2014, Invited
  • Discrete Morse theory a la Cohen-Jones-Segal
    Dai Tamaki
    Workshop on Algebraic Topology and its Applications, 08 Aug. 2014, Invited
  • Cellular stratified spaces and their applications II
    Dai Tamaki
    Workshop on Algebraic Topology and its Applications, 07 Aug. 2014, Invited
  • Cellular stratified spaces and their applications I
    Dai Tamaki
    Workshop on Algebraic Topology and its Applications, 06 Aug. 2014, Invited
  • On parametrized functors
    Dai Tamaki
    The Fifth East Asian Conference on Algebraic Topology, 04 Dec. 2013, Invited
  • K-theory and topological phases
    Dai Tamaki
    トポロジカルオーダー勉強会, 25 Nov. 2013, Invited
  • 本当にモデル圏でいいのか?
    Dai Tamaki
    SMART研究会「応用現代幾何学」, 05 Sep. 2013, Invited
  • Applications of cellular stratified spaces
    Dai Tamaki
    International Conference on Topology and Geometry 2013, 02 Sep. 2013, Invited
  • Some applications of cellular stratified spaces
    Dai Tamaki
    Applied Topology, 23 Jul. 2013, Invited
  • An invitation to topology
    Dai Tamaki
    The International Kasetsart Univerisity Science and Technology Annual Research Symposium, 28 Mar. 2013, Invited
  • Cellular stratified spaces III
    Dai Tamaki
    Fukuoka Homotopy Theory Seminar, 13 Jan. 2013, Not invited
  • Bicategories and topological categories in combinatorial algebraic topology
    Dai Tamaki
    Shinshu Applied Topology Seminar, 23 Nov. 2012, Not invited
  • A Salvetti-type model for configuration spaces
    Dai Tamaki
    Applied and computational topology: ATMCS 5, Jul. 2012, Not invited
  • Stellar stratified spaces
    Dai Tamaki
    福岡ホモトピー論セミナー, 06 Jan. 2012, Not invited
  • A user’s guide to cellular stratified spaces
    Dai Tamaki
    Applied Topology, Sep. 2011, Invited
  • Combinatorial configuration spaces
    Dai Tamaki
    2011 International Symposium on Nonlinear Theory and its Applications, Sep. 2011, Invited
  • Combinatorial models for configuration spaces
    Dai Tamaki
    RIMS研究集会変換群の幾何と組合せ論, Jun. 2011, Not invited
  • Constructing bicategories of enriched categories
    Dai Tamaki
    代数幾何とホモトピー論の新展開, Dec. 2010
  • A homotopy colimit spectral sequence for Hochschild and Baues-Wirsching cohomologies
    Dai Tamaki
    International Conference Japan-Mexico on Topology and its Applications, Sep. 2010, Invited
  • Combinatorial configuration spaces
    Dai Tamaki
    第57回 トポロジーシンポジウム, Aug. 2010, Invited
  • Combinatorial configuration spaces
    Dai Tamaki
    京都大学数学教室談話会, Jul. 2010, Invited
  • Constructing bicategories of enriched categories
    Dai Tamaki
    Workshop(s): Lefschetz fibration and category theory, Jun. 2010, Invited
  • もっと数学にWWWを活用するには?
    Dai Tamaki
    Workshop(s): Lefschetz fibration and category theory, Jun. 2010, Invited
  • On Hochschild-Mitchell and Baues-Wirsching cohomologies for diagrams
    Dai Tamaki
    (非)可換代数とトポロジー, Mar. 2010, Invited
  • Enriched stacks and duality
    Dai Tamaki
    第3回東アジア代数的トポロジーシンポジウム, Dec. 2009
  • A homotopy colimit spectral sequence for Hochschild homology
    Dai Tamaki
    ホモトピー論シンポジウム, Nov. 2009, Invited
  • Homotopy colimits for enriched categories
    Dai Tamaki
    第6回静岡代数学セミナー, Nov. 2009, Invited
  • Enriched stacks and duality
    Dai Tamaki
    Category theory, computer science and topology, Oct. 2009, Invited
  • Iterated loop spaces and oriented matroids
    Dai Tamaki
    MSJ-SI conference on arrangements of hyperplanes, Aug. 2009, Invited
  • On classifying spaces of partially defined algebraic structures
    Dai Tamaki
    第4回代数・解析・幾何学セミナー, Feb. 2009, Invited
  • Twisting Segal's K-homology theory
    Dai Tamaki
    Braids and Mapping Class Groups, Dec. 2008, Invited
  • Twisting Segal's K-homology theory
    Dai Tamaki
    ホモトピー論シンポジウム, Dec. 2008
  • A homotopical introduction to twisted K-theory
    Dai Tamaki
    Noncommutative Geometry and Physics 2008, Feb. 2008, Invited
  • Hyperplane arrangements for iterated loop spaces
    Dai Tamaki
    研究集会「超平面配置のさまざまな側面」, Feb. 2008, Invited
  • Iterated loop spaces and oriented matroids
    Dai Tamaki
    International Conference on Topology and its Applications, Dec. 2007, Invited
  • The little cubes and the Salvetti complex
    Dai Tamaki
    第1回東アジア代数的トポロジーシンポジウム, Nov. 2007, Invited
  • 組み合せ論とホモトピー論はより親密になれるか?
    Dai Tamaki
    研究集会「NYメィツの集い」, Mar. 2007
  • Oriented n-matroid and little n-cubes
    Dai Tamaki
    研究集会「空間の代数的・幾何学的モデルの展望」, Sep. 2006, Invited
  • Homology theory and categorification
    Dai Tamaki
    第2回城崎新人セミナー, Feb. 2005, Invited
  • On the E1-term of the gravity spectral sequence
    Dai Tamaki
    第3回日本-メキシコ トポロジーシンポジウム, Dec. 2004, Invited
  • 空間のモデルと準ファイバー空間
    Dai Tamaki
    指数定理とその可能性II, Aug. 2004, Invited
  • On the E1-term of the gravity spectral sequence
    Dai Tamaki
    Workshop on Geometry and Topology of Configuration Spaces, Jul. 2004, Invited
  • Gravity filtration on little cubes revisited
    Dai Tamaki
    研究集会「Lusternik-Schnirelmann categoryとその周辺」, Dec. 2003, Invited
  • Little cubes in homotopy theory
    Dai Tamaki
    京都大学数学教室談話会, Nov. 2003, Invited
  • A configuration space model for the tower of higher order suspensions
    Dai Tamaki
    研究集会「空間の代数的モデルとその応用」, Sep. 2002, Invited
  • On higher order suspensions
    Dai Tamaki
    松江トポロジー国際会議, Jun. 2002
  • 高次懸垂写像について
    Dai Tamaki
    岡山理科大学談話会, Mar. 2002, Invited
  • Higher order Freudenthal suspension and homology of iterated loop spaces
    Dai Tamaki
    ホモトピー論シンポジウム, Nov. 2001
  • Higher order Freudenthal suspension and Morava K-theory of iterated loop spaces
    Dai Tamaki
    Singapore International Symposium on Topology and Geometry, Jul. 2001
  • Constructing cobar spectral sequences for the fiber of iterated Freudenthal suspension
    Dai Tamaki
    ロチェスター大学トポロジーセミナー, Dec. 2000, Invited
  • A cobar spectral sequence for the fiber of the iterated Freudenthal suspension
    Dai Tamaki
    ジョンズ・ホプキンス大学トポロジーセミナー, Dec. 2000, Invited
  • 交差ホモトピー群について
    Dai Tamaki
    京都トポロジーセミナー, Jul. 2000, Invited
  • On vn-Bockstein operations
    Dai Tamaki
    ジョンズ・ホプキンス大学JAMIセミナー, Mar. 2000, Invited
  • Anatomy of Dp(X)
    Dai Tamaki
    研究集会「多様体とホモトピー」, Dec. 1998, Invited
  • Comparing cobar spectral sequences I, II
    Dai Tamaki
    研究集会「モデル理論と有理ホモトピー論」, Dec. 1998, Invited
  • 小立方体のなす空間とその応用
    Dai Tamaki
    東京都立大学数学教室談話会, Nov. 1997, Invited
  • cobar型Eilenberg-Moore spectral sequenceの一意性について
    Dai Tamaki
    岡山理科大学談話会, Nov. 1997, Invited
  • Configuration space of little cubes and its applications
    Dai Tamaki
    九州大学大学院数理学研究科談話会, Oct. 1997, Invited
  • vn-Bocksteins on Dp(X)
    Dai Tamaki
    第1回日本-メキシコ トポロジーシンポジウム, Jul. 1997, Invited
  • Morava K-theory of iterated loop spaces and related topics
    Dai Tamaki
    福岡ホモトピー論セミナー, May 1995, Invited
  • On the convergence problem of cobar-type spectral sequence
    Dai Tamaki
    トポロジーシンポジウム, Jul. 1993, Invited
  • Stable retractions of CW-complexes whose cohomologies are small exterior algebras
    Dai Tamaki
    ホモトピー論研究集会, Dec. 1988, Invited

Courses

  • トポロジー
    Shinshu University
  • 幾何学
    Shinshu University

Affiliated academic society

  • The Mathematical Society of Japan
  • The American Mathematical Society

Research Themes

  • 分野を超えて数学を語るコミュニティを創りたい!
    14 May 2022
  • ホプフォロジカル代数のホモトピー論的研究
    科学研究費補助金, 基盤研究 (C) (一般)
    01 Apr. 2020 - 31 Mar. 2021
  • 結び目と3次元多様体の量子トポロジー
    科学研究費補助金, 基盤研究 (A)
    01 Apr. 2018 - 31 Mar. 2019
  • 離散モース理論の精密化による配置空間のモデルの構築
    科学研究費補助金, 基盤研究 (C)
    01 Apr. 2018 - 31 Mar. 2019
  • 離散モース理論の精密化による配置空間のモデルの構築
    科学研究費補助金, 基盤研究 (C)
    01 Apr. 2015 - 31 Mar. 2019
  • 離散モース理論の精密化による配置空間のモデルの構築
    科学研究費補助金, 基盤研究 (C)
    01 Apr. 2015 - 31 Mar. 2019
  • 離散モース理論の精密化による配置空間のモデルの構築
    科学研究費補助金, 基盤研究 (C)
    01 Apr. 2015 - 31 Mar. 2016
  • Construction of a new model for configuration spaces by means of discrete Morse theory
    Grant-in-Aid for Scientific Research
    2015 - 2019
  • 代数的トポロジー国際セミナー
    29 Jul. 2014 - 12 Aug. 2014
  • 組み合せ論的手法による配置空間のトポロジーの研究
    科学研究費補助金, 基盤研究 (C)
    01 Apr. 2011 - 31 Mar. 2015
  • Combinatorial mathods in the study of topology of configuration spaces and their applications
    Grant-in-Aid for Scientific Research
    2011 - 2014
  • 代数的トポロジー文献案内
    科学研究費補助金, 研究成果公開促進費
    01 Apr. 2010 - 31 Mar. 2011
  • ゲージ理論とホモトピー論
    科学研究費補助金, 基盤研究 B
    01 Apr. 2007 - 31 Mar. 2011
  • モデル圏における非安定高次周期性の研究
    科学研究費補助金, 基盤研究 C
    01 Apr. 2005 - 31 Mar. 2009
  • On unstable higher periodicity phenomena in model categories
    Grant-in-Aid for Scientific Research
    2005 - 2008
  • 高次懸垂写像の組み合わせ論的モデルによるホモトピー群の大域的構造の研究
    科学研究費補助金, 若手研究 B
    01 Apr. 2002 - 31 Mar. 2005
  • The study of global structure of unstable homotopy groups by higher EHP sequence
    Grant-in-Aid for Scientific Research
    2002 - 2004
  • 科学研究費補助金, 奨励研究 A
    01 Apr. 1996 - 31 Mar. 1997
  • 科学研究費補助金, 奨励研究 A
    01 Apr. 1995 - 31 Mar. 1996
  • 科学研究費補助金, 奨励研究 A
    01 Apr. 1994 - 31 Mar. 1995
  • Construction of spectral sequences for loop spaces
  • Homotopy theory of Hopfological algebra
  • The study of the $v_n$-Bockstein operations on the homology of loop spaces

Academic Contribution Activities

  • 現代数学勉強会
    Planning etc
    現代数学勉強会, 上田市中央公民館, 01 Apr. 2016

Acceptance of international students

  • 2009, 1

Acceptance of research students

  • Apr. 2010 - Mar. 2011, 境圭一, 日本, 東京大学大学院数理科学研究科, 結び目のなす空間について
  • 01 Apr. 2017 - 31 Mar. 2018, 小原まり子, 日本, 東北大学大学院理学研究科博士課程, 代数的K理論
  • 01 Apr. 2016 - 31 Mar. 2017, 小原まり子, 日本, 東北大学大学院理学研究科博士課程, 代数的K理論
  • 01 Apr. 2020 - 31 Mar. 2021, 阿部翠空星, 日本, 埼玉大学大学院理工学研究科博士課程, 結び目理論
  • 01 Apr. 2020 - 31 Mar. 2021, 小原まり子, 日本, 東北大学大学院理学研究科博士課程, 代数的K理論
  • 01 Apr. 2019 - 31 Mar. 2020, 小原まり子, 日本, 東北大学大学院理学研究科博士課程, 代数的K理論
  • 01 Apr. 2018 - 31 Mar. 2019, 小原まり子, 日本, 東北大学大学院理学研究科博士課程, 代数的K理論
  • 01 Apr. 2021 - 31 Mar. 2022, 阿部翠空星, 日本, 埼玉大学大学院理工学研究科博士課程, 結び目理論
  • 01 Apr. 2022 - 31 Mar. 2023, 阿部翠空星, 日本, 埼玉大学大学院理工学研究科博士課程, 結び目理論