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
Researcher Information
Research Keyword
- loop space, category and functor, classifying space, discrete Morse theory, homology, homotopy group, model category, operad
Mail Address
- rivulus★shinshu-u.ac.jp
Web site
Career
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
Research activity information
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 - On the $E^1$-term of the gravity spectral sequence
Dai Tamaki
Geometry and Topology Monographs, 10, 341-376, 2006, Refereed - 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. 2012Geometry 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, 2008Generalized 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, 2002Lectures, oral presentations, etc.
- Cotorsion pairs in Hopfological algebra
Dai Tamaki
Annual conference on homotopy theory, 06 Nov. 2021Applications of functor homology to weighted networks
Dai Tamaki
The Week of Applied Mathematical Modelling, 09 Oct. 2019Stratifications on classifying spaces of acyclic categories
Dai Tamaki
Mapping Spaces in Algebraic Topology, 30 Aug. 2018, InvitedFunctorial discrete Morse theory
Dai Tamaki
Braid Groups, Configuration Spaces, and Homo- topy Theory, 25 Jul. 2018, InvitedStratifications on classifying spaces of categories
Dai Tamaki
7th East Asian Conference on Algebraic Topology, 03 Dec. 2017, InvitedCombinatorial 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, InvitedA 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, InvitedAn 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, InvitedConfiguration spaces and homotopy theory
Dai Tamaki
日本数学会年会, 18 Mar. 2016, 日本数学会, InvitedDiscrete Morse theory and classifying spaces
Dai Tamaki
Braids, Configuration Spaces, and Quantum Topology, 10 Sep. 2015, InvitedDiscrete 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, InvitedDiscrete Morse theory a la Cohen-Jones-Segal
Dai Tamaki
Workshop on Algebraic Topology and its Applications, 08 Aug. 2014, InvitedCellular stratified spaces and their applications II
Dai Tamaki
Workshop on Algebraic Topology and its Applications, 07 Aug. 2014, InvitedCellular stratified spaces and their applications I
Dai Tamaki
Workshop on Algebraic Topology and its Applications, 06 Aug. 2014, InvitedOn parametrized functors
Dai Tamaki
The Fifth East Asian Conference on Algebraic Topology, 04 Dec. 2013, InvitedK-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, InvitedApplications of cellular stratified spaces
Dai Tamaki
International Conference on Topology and Geometry 2013, 02 Sep. 2013, InvitedSome applications of cellular stratified spaces
Dai Tamaki
Applied Topology, 23 Jul. 2013, InvitedAn invitation to topology
Dai Tamaki
The International Kasetsart Univerisity Science and Technology Annual Research Symposium, 28 Mar. 2013, InvitedCellular stratified spaces III
Dai Tamaki
Fukuoka Homotopy Theory Seminar, 13 Jan. 2013, Not invitedBicategories and topological categories in combinatorial algebraic topology
Dai Tamaki
Shinshu Applied Topology Seminar, 23 Nov. 2012, Not invitedA Salvetti-type model for configuration spaces
Dai Tamaki
Applied and computational topology: ATMCS 5, Jul. 2012, Not invitedStellar stratified spaces
Dai Tamaki
福岡ホモトピー論セミナー, 06 Jan. 2012, Not invitedA user’s guide to cellular stratified spaces
Dai Tamaki
Applied Topology, Sep. 2011, InvitedCombinatorial configuration spaces
Dai Tamaki
2011 International Symposium on Nonlinear Theory and its Applications, Sep. 2011, InvitedCombinatorial 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 invitedConstructing bicategories of enriched categories
Dai Tamaki
代数幾何とホモトピー論の新展開, Dec. 2010A homotopy colimit spectral sequence for Hochschild and Baues-Wirsching cohomologies
Dai Tamaki
International Conference Japan-Mexico on Topology and its Applications, Sep. 2010, InvitedCombinatorial configuration spaces
Dai Tamaki
第57回 トポロジーシンポジウム, Aug. 2010, InvitedCombinatorial configuration spaces
Dai Tamaki
京都大学数学教室談話会, Jul. 2010, InvitedConstructing 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, InvitedOn Hochschild-Mitchell and Baues-Wirsching cohomologies for diagrams
Dai Tamaki
(非)可換代数とトポロジー, Mar. 2010, InvitedEnriched 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. 2009A homotopy colimit spectral sequence for Hochschild homology
Dai Tamaki
ホモトピー論シンポジウム, Nov. 2009, InvitedHomotopy colimits for enriched categories
Dai Tamaki
第6回静岡代数学セミナー, Nov. 2009, InvitedEnriched stacks and duality
Dai Tamaki
Category theory, computer science and topology, Oct. 2009, InvitedIterated loop spaces and oriented matroids
Dai Tamaki
MSJ-SI conference on arrangements of hyperplanes, Aug. 2009, InvitedOn 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, InvitedTwisting Segal's K-homology theory
Dai Tamaki
Braids and Mapping Class Groups, Dec. 2008, InvitedTwisting Segal's K-homology theory
Dai Tamaki
ホモトピー論シンポジウム, Dec. 2008A homotopical introduction to twisted K-theory
Dai Tamaki
Noncommutative Geometry and Physics 2008, Feb. 2008, InvitedHyperplane 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, InvitedIterated loop spaces and oriented matroids
Dai Tamaki
International Conference on Topology and its Applications, Dec. 2007, InvitedThe 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. 2007Oriented 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, InvitedHomology theory and categorification
Dai Tamaki
第2回城崎新人セミナー, Feb. 2005, InvitedOn 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, InvitedOn the E1-term of the gravity spectral sequence
Dai Tamaki
Workshop on Geometry and Topology of Configuration Spaces, Jul. 2004, InvitedGravity filtration on little cubes revisited
Dai Tamaki
研究集会「Lusternik-Schnirelmann categoryとその周辺」, Dec. 2003, InvitedLittle cubes in homotopy theory
Dai Tamaki
京都大学数学教室談話会, Nov. 2003, InvitedA 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, InvitedOn 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, InvitedHigher order Freudenthal suspension and homology of iterated loop spaces
Dai Tamaki
ホモトピー論シンポジウム, Nov. 2001Higher order Freudenthal suspension and Morava K-theory of iterated loop spaces
Dai Tamaki
Singapore International Symposium on Topology and Geometry, Jul. 2001Constructing 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, InvitedA 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, InvitedOn vn-Bockstein operations
Dai Tamaki
ジョンズ・ホプキンス大学JAMIセミナー, Mar. 2000, InvitedAnatomy of Dp(X)
Dai Tamaki
研究集会「多様体とホモトピー」, Dec. 1998, InvitedComparing 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, Invitedcobar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, InvitedConfiguration 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, Invitedvn-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, InvitedMorava 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, InvitedOn the convergence problem of cobar-type spectral sequence
Dai Tamaki
トポロジーシンポジウム, Jul. 1993, InvitedStable retractions of CW-complexes whose cohomologies are small exterior algebras
Dai Tamaki
ホモトピー論研究集会, Dec. 1988, InvitedResearch 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
Educational activity informationAcceptance 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