TAMAKI, DAI | Shinshu University Researcher Directory

Academic Organization	Academic Assembly　School of Science and Technology　Institute of Science	TEL
Education and Research Organization	Faculty of Science　Department of Mathematics　Course of Mathematical Sciences	FAX
Position	Professor	Mail Address	rivulus＠shinshu-u.ac.jp
Address	3-1-1, Asahi, Matsumoto City 390-8621	Web site	http://pantodon.jp/index.html

Profile

Assigned Class: Graduate School, Division of Science and Technology
Interdisciplinary Graduate School of Science and Technology

Research Field: homotopy theory
Keywords:loop space , operad , discrete Morse theory , homotopy group , model category , classifying space , category and functor , homology

Current Subject: Homotopy theory of Hopfological algebra
Keywords:Hopf algebra , model category , algebraic K-theory
The study of the $v_n$-Bockstein operations on the homology of loop spaces
Keywords:loop space , homology
Construction of spectral sequences for loop spaces
Keywords:loop space , configuration space , homology , spectral sequence
Construction of a new model for configuration spaces by means of discrete Morse theory
Keywords:configuration space , discrete Morse theory , 2015-2019
Combinatorial mathods in the study of topology of configuration spaces and their applications
Keywords:classifying space , cellular stratified space , 2011-2014
On unstable higher periodicity phenomena in model categories
Keywords:model category , homotopy group , 2005-2008
The study of global structure of unstable homotopy groups by higher EHP sequence
Keywords:homotopy group , EHP sequence , 2002-2004

Academic Societies: Academic Societies
The Mathematical Society of Japan
The American Mathematical Society

Academic Background: Graduate School
University of Rochester , (Mathematics , Graduate School of Mathematics) , 1993
Kyoto University , (Mathematics , Graduate School, Division of Natural Science) , 1993
Kyoto University , (Mathematics , Graduate School, Division of Natural Science) , 1989

College
Kyoto University , (Faculty of Science) , 1987

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

Research Career: Other 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

Overseas Education
1989-1993 , University of Rochester

Research

Books, Articles, etc.: Books
Fiber bundles and homotopy, -
World Scientific. 2021
Author:Dai Tamaki

ファイバー束とホモトピー, -
森北出版 2020
Author:玉木大著
Keywords:ファイバー・バンドル; ホモトピー;

広がりゆくトポロジーの世界
現代数学社 2012(Nov.)
Author:玉木大

Groups, homotopy and configuration spaces (Tokyo), Geometry and Topology Monographs 13
Mathematical Sciences Publishers 2008
Author:Norio Iwase, Toshitake Kohno, Ran Levi, Dai Tamaki, Jie Wu

Generalized Cohomology
The American Mathematical Society 2006
Author:Akira Kono, Dai Tamaki

岩波講座現代数学の展開「一般コホモロジー」
岩波書店 2002
Author:河野明, 玉木大

Articles
Stellar stratifications on classifying spaces
Trends in Mathematics,:287-313 2019
Author:Dai Tamaki, Hiro Lee Tanaka
Keywords:stratification, infinity category, classifying space

Cellular stratified spaces
Combinatorial and Toric Homotopy: Introductory Lectures. Lecure Notes Series, Institute for Mathematical Sciences, National University of Singapore.,35:305-435 2018
Author:Dai Tamaki

Discrete Morse theory and classifying spaces
Advances in Mathematics,340:723-790 2018
Author:Vidit Nanda, Dai Tamaki, Kohei Tanaka
Keywords:discrete Morse theory, small category, classifying space

Totally normal cellular stratified spaces and applications to the configuration space of graphs
Topological Methods in Nonlinear Analysis,45:169-214 2015(Mar.)
Author:Mizuki Furuse, Takashi Mukouyama, Dai Tamaki
Keywords:configuration space

Higher topological complexity and its symmetrization
Algebraic and Geometric Topology,14:2103-2124 2014
Author:Ibai Basabe, Jesus Gonzalez, Yuli Rudyak, Dai Tamaki
Keywords:topological complexity

Two-sided bar constructions for partial monoids and applications to K-homology
Noncommutative Geometry and Physics,3:197-235 2013
Author:Dai Tamaki

Twisting Segal's K-homology theory
Noncommutative Geometry and Physics,3:177-195 2013
Author:Dai Tamaki

The Salvetti complex and the little cubes
Journal of European Mathematical Society,14:801-840 2012
Author:Dai Tamaki

On the homology of configuration spaces associated to centers of mass
Arrangements of hyperplanes---{S}apporo 2009,62:417-457 2012
Author:Dai Tamaki

On the $E^1$-term of the gravity spectral sequence
Geometry and Topology Monographs,10:341-376 2006
Author:Dai Tamaki

Homology operations and v(n)-Bockstein operations
Topology and its Applications,128(2-3):209-229 2003
Author:D. Tamaki

The fiber of Freudenthal suspension and Morava K-theory of $\Omega^kS^{2\ell+1}$
Contemporary Mathematics,293:299-329 2002
Author:Dai Tamaki

Some cohomotopy groups of suspended projective planes
Mathematical Journal of Okayama University,43:105-121 2002
Author:H. Kachi, J. Mukai, T. Nozaki, Y. Sumida, D. Tamaki

Little cubes and homotopy theory
Morphismos,5:33-60 2000
Author:Dai Tamaki

A Dual Rothenberg-Steenrod spectral sequence
Topology,33:631-662 1994
Author:Dai Tamaki

Stable retraction of CW-complexes whose cohomologies are small exterior algebras
Journal of Mathematics of Kyoto University,33:1097-1102 1993
Author:Dai Tamaki

Presentations
Cotorsion pairs in Hopfological algebra
Annual conference on homotopy theory 2021(Nov. 06)
Presenter:Dai Tamaki
Keywords:cotorsion pair, model category, Hopfological algebra

Applications of functor homology to weighted networks
The Week of Applied Mathematical Modelling 2019(Oct. 09)
Presenter:Dai Tamaki
Keywords:weighted network, homology

Stratifications on classifying spaces of acyclic categories
Mapping Spaces in Algebraic Topology 2018(Aug. 30)
Presenter:Dai Tamaki

Functorial discrete Morse theory
Braid Groups, Configuration Spaces, and Homo- topy Theory 2018(Jul. 25)
Presenter:Dai Tamaki

Stratifications on classifying spaces of categories
7th East Asian Conference on Algebraic Topology 2017(Dec. 03)
Presenter:Dai Tamaki

Combinatorial gradient flows on cell complexes
第12回鹿児島代数・解析・幾何学セミナー 2017(Feb. 15)
Presenter:Dai Tamaki

A combinatorial model for graph braid groups
The 2nd mini workshop on knot theory 2016(Dec. 16)
Presenter:Dai Tamaki

An introduction to directed homotopy theory
代数, 論理, 幾何と情報科学研究集会 2016(Aug. 28)
Presenter:Dai Tamaki

小圏の分類空間とその応用
第16回JMO夏季セミナー 2016(Aug. 23)
Presenter:玉木大

Configuration spaces and homotopy theory
日本数学会年会 2016(Mar. 18)
Presenter:Dai Tamaki

Discrete Morse theory and classifying spaces
Braids, Configuration Spaces, and Quantum Topology 2015(Sep. 10)
Presenter:Dai Tamaki

Discrete Morse theory and classifying spaces of 2-categories
Workshop on Applied Topology 2015(Aug. 21)
Presenter:Dai Tamaki

トポロジカル相からK理論へ
Summer School 数理物理 2014 2014(Aug. 29)
Presenter:Dai Tamaki

Discrete Morse theory a la Cohen-Jones-Segal
Workshop on Algebraic Topology and its Applications 2014(Aug. 08)
Presenter:Dai Tamaki

Cellular stratified spaces and their applications II
Workshop on Algebraic Topology and its Applications 2014(Aug. 07)
Presenter:Dai Tamaki

Cellular stratified spaces and their applications I
Workshop on Algebraic Topology and its Applications 2014(Aug. 06)
Presenter:Dai Tamaki

On parametrized functors
The Fifth East Asian Conference on Algebraic Topology 2013(Dec. 04)
Presenter:Dai Tamaki

K-theory and topological phases
トポロジカルオーダー勉強会 2013(Nov. 25)
Presenter:Dai Tamaki

本当にモデル圏でいいのか?
SMART研究会「応用現代幾何学」 2013(Sep. 05)
Presenter:Dai Tamaki

Applications of cellular stratified spaces
International Conference on Topology and Geometry 2013 2013(Sep. 02)
Presenter:Dai Tamaki

Some applications of cellular stratified spaces
Applied Topology 2013(Jul. 23)
Presenter:Dai Tamaki

An invitation to topology
The International Kasetsart Univerisity Science and Technology Annual Research Symposium 2013(Mar. 28)
Presenter:Dai Tamaki

Cellular stratified spaces III
Fukuoka Homotopy Theory Seminar 2013(Jan. 13)
Presenter:Dai Tamaki

Bicategories and topological categories in combinatorial algebraic topology
Shinshu Applied Topology Seminar 2012(Nov. 23)
Presenter:Dai Tamaki

A Salvetti-type model for configuration spaces
Applied and computational topology: ATMCS 5 2012(Jul.)
Presenter:Dai Tamaki

Stellar stratified spaces
福岡ホモトピー論セミナー 2012(Jan. 06)
Presenter:Dai Tamaki

Combinatorial conﬁguration spaces
2011 International Symposium on Nonlinear Theory and its Applications 2011(Sep.)
Presenter:Dai Tamaki

A user’s guide to cellular stratiﬁed spaces
Applied Topology 2011(Sep.)
Presenter:Dai Tamaki

Combinatorial models for conﬁguration spaces
RIMS研究集会変換群の幾何と組合せ論 2011(Jun.)
Presenter:Dai Tamaki

Constructing bicategories of enriched categories
代数幾何とホモトピー論の新展開 2010(Dec.)
Presenter:Dai Tamaki

A homotopy colimit spectral sequence for Hochschild and Baues-Wirsching cohomologies
International Conference Japan-Mexico on Topology and its Applications 2010(Sep.)
Presenter:Dai Tamaki

Combinatorial configuration spaces
第57回トポロジーシンポジウム 2010(Aug.)
Presenter:Dai Tamaki

Combinatorial conﬁguration spaces
京都大学数学教室談話会 2010(Jul.)
Presenter:Dai Tamaki

もっと数学にWWWを活用するには?
Workshop(s): Lefschetz ﬁbration and category theory 2010(Jun.)
Presenter:Dai Tamaki

Constructing bicategories of enriched categories
Workshop(s): Lefschetz ﬁbration and category theory 2010(Jun.)
Presenter:Dai Tamaki

On Hochschild-Mitchell and Baues-Wirsching cohomologies for diagrams
(非)可換代数とトポロジー 2010(Mar.)
Presenter:Dai Tamaki

Enriched stacks and duality
第3回東アジア代数的トポロジーシンポジウム 2009(Dec.)
Presenter:Dai Tamaki

Homotopy colimits for enriched categories
第6回静岡代数学セミナー 2009(Nov.)
Presenter:Dai Tamaki

A homotopy colimit spectral sequence for Hochschild homology
ホモトピー論シンポジウム 2009(Nov.)
Presenter:Dai Tamaki

Enriched stacks and duality
Category theory, computer science and topology 2009(Oct.)
Presenter:Dai Tamaki

Iterated loop spaces and oriented matroids
MSJ-SI conference on arrangements of hyperplanes 2009(Aug.)
Presenter:Dai Tamaki

On classifying spaces of partially defined algebraic structures
第4回代数・解析・幾何学セミナー 2009(Feb.)
Presenter:Dai Tamaki

Twisting Segal's K-homology theory
ホモトピー論シンポジウム 2008(Dec.)
Presenter:Dai Tamaki

Twisting Segal's K-homology theory
Braids and Mapping Class Groups 2008(Dec.)
Presenter:Dai Tamaki

Hyperplane arrangements for iterated loop spaces
研究集会「超平面配置のさまざまな側面」 2008(Feb.)
Presenter:Dai Tamaki

A homotopical introduction to twisted K-theory
Noncommutative Geometry and Physics 2008 2008(Feb.)
Presenter:Dai Tamaki

Iterated loop spaces and oriented matroids
International Conference on Topology and its Applications 2007(Dec.)
Presenter:Dai Tamaki

The little cubes and the Salvetti complex
第1回東アジア代数的トポロジーシンポジウム 2007(Nov.)
Presenter:Dai Tamaki

組み合せ論とホモトピー論はより親密になれるか?
研究集会「NYメィツの集い」 2007(Mar.)
Presenter:Dai Tamaki

Oriented n-matroid and little n-cubes
研究集会「空間の代数的・幾何学的モデルの展望」 2006(Sep.)
Presenter:Dai Tamaki

Homology theory and categorification
第2回城崎新人セミナー 2005(Feb.)
Presenter:Dai Tamaki

On the E1-term of the gravity spectral sequence
第3回日本-メキシコトポロジーシンポジウム 2004(Dec.)
Presenter:Dai Tamaki

空間のモデルと準ファイバー空間
指数定理とその可能性II 2004(Aug.)
Presenter:Dai Tamaki

On the E1-term of the gravity spectral sequence
Workshop on Geometry and Topology of Configuration Spaces 2004(Jul.)
Presenter:Dai Tamaki

Gravity filtration on little cubes revisited
研究集会「Lusternik-Schnirelmann categoryとその周辺」 2003(Dec.)
Presenter:Dai Tamaki

Little cubes in homotopy theory
京都大学数学教室談話会 2003(Nov.)
Presenter:Dai Tamaki

A configuration space model for the tower of higher order suspensions
研究集会「空間の代数的モデルとその応用」 2002(Sep.)
Presenter:Dai Tamaki

On higher order suspensions
松江トポロジー国際会議 2002(Jun.)
Presenter:Dai Tamaki

高次懸垂写像について
岡山理科大学談話会 2002(Mar.)
Presenter:Dai Tamaki

Higher order Freudenthal suspension and homology of iterated loop spaces
ホモトピー論シンポジウム 2001(Nov.)
Presenter:Dai Tamaki

Higher order Freudenthal suspension and Morava K-theory of iterated loop spaces
Singapore International Symposium on Topology and Geometry 2001(Jul.)
Presenter:Dai Tamaki

A cobar spectral sequence for the fiber of the iterated Freudenthal suspension
ジョンズ・ホプキンス大学トポロジーセミナー 2000(Dec.)
Presenter:Dai Tamaki

Constructing cobar spectral sequences for the fiber of iterated Freudenthal suspension
ロチェスター大学トポロジーセミナー 2000(Dec.)
Presenter:Dai Tamaki

交差ホモトピー群について
京都トポロジーセミナー 2000(Jul.)
Presenter:Dai Tamaki

On vn-Bockstein operations
ジョンズ・ホプキンス大学JAMIセミナー 2000(Mar.)
Presenter:Dai Tamaki

Comparing cobar spectral sequences I, II
研究集会「モデル理論と有理ホモトピー論」 1998(Dec.)
Presenter:Dai Tamaki

Anatomy of Dp(X)
研究集会「多様体とホモトピー」 1998(Dec.)
Presenter:Dai Tamaki

cobar型Eilenberg-Moore spectral sequenceの一意性について
岡山理科大学談話会 1997(Nov.)
Presenter:Dai Tamaki

小立方体のなす空間とその応用
東京都立大学数学教室談話会 1997(Nov.)
Presenter:Dai Tamaki

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(Oct.)
Presenter:Dai Tamaki

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(Jul.)
Presenter:Dai Tamaki

Morava K-theory of iterated loop spaces and related topics
福岡ホモトピー論セミナー 1995(May)
Presenter:Dai Tamaki

On the convergence problem of cobar-type spectral sequence
トポロジーシンポジウム 1993(Jul.)
Presenter:Dai Tamaki

Stable retractions of CW-complexes whose cohomologies are small exterior algebras
ホモトピー論研究集会 1988(Dec.)
Presenter:Dai Tamaki

MISC
Category theory and topology
現代思想 2020(Jul.)
Author:Dai Tamaki

ホモトピーという考え方の拡がり
数理科学,(5月号) 2019(May)
Author:玉木大

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)
数学セミナー,56(1):32-35 2017(Jan.)
Author:玉木大;
Permalink

位相 (特集現代数学の発想)
数学セミナー,53(4):28-33 2014(Apr.)
Author:玉木大;
Permalink

被覆という考え方 (特集被覆のはなし)
数学セミナー,52(1):13-17 2013(Jan.)
Author:玉木大;
Permalink

トポロジーは応用できるか?
数学通信,16(4):16-27 2012(Feb.)
Author:玉木大;
Permalink

Combinatorial Conﬁguration Spaces
Proceedings of 2011 International Symposium on Nonlinear Theory and its Applications,:2000--2003 2011
Author:Dai Tamaki

エレガントな解答をもとむ解答--出題 2008年1月号
数学セミナー,47(4):94-100 2008(Apr.)
Author:西山豊; 玉木大;
Permalink

エレガントな解答をもとむ解答出題2006年7月号
数学セミナー,45(10):88-92 2006(Oct.)
Author:矢ヶ部巖; 玉木大;
Permalink

エレガントな解答をもとむ解答出題 2005年9月号
数学セミナー,44(12):92-97 2005(Dec.)
Author:渡辺守; 玉木大;
Permalink

エレガントな解答をもとむ
数学セミナ-,40(4):86-91 2001(Apr.)
Author:清宮俊雄; 大島邦夫; 玉木大;
Permalink

エレガントな解答をもとむ
数学セミナ-,40(1):100-108 2001(Jan.)
Author:玉木大; 山田裕史; 今井貞三;
Permalink

Research Grants: Grants‐in‐aid for Scientific Research(Research Representative)
2020 - 20210331 , ホプフォロジカル代数のホモトピー論的研究 , 基盤研究 (C) (一般)
2015 - 2018 , 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 , 基盤研究 (C)
2015 - 2018 , 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 , 基盤研究 (C)
2015 - 2018 , 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 , 基盤研究 (C)
2015 - 2018 , 離散モース理論の精密化による配置空間のモデルの構築 , 基盤研究 (C)
2011 - 2014 , 組み合せ論的手法による配置空間のトポロジーの研究 , 基盤研究 (C)
2010 - 2010 , 代数的トポロジー文献案内 , 研究成果公開促進費
2005 - 2008 , モデル圏における非安定高次周期性の研究 , 基盤研究 C
2002 - 2004 , 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 , 若手研究 B
1996 - 1996 , 奨励研究 A
1995 - 1995 , 奨励研究 A
1994 - 1994 , 奨励研究 A

Grants‐in‐aid for Scientific Research(Researcher)
2018 - 2018 , 結び目と３次元多様体の量子トポロジー , 基盤研究 (A)
2007 - 2010 , ゲージ理論とホモトピー論 , 基盤研究 B

Other Research Grants
2014 - 2014 , 代数的トポロジー国際セミナー

Other
2022 - , 分野を超えて数学を語るコミュニティを創りたい！

Education

Lectures: 2002 , トポロジー
2002 , 幾何学

International Student Receipt: 2009 , First Term:1

Researcher Receipt: 2022-2023 , 結び目理論
2021-2022 , 結び目理論
2020-2021 , 結び目理論
2020-2021 , 代数的K理論
2019-2020 , 代数的K理論
2018-2019 , 代数的K理論
2017-2018 , 代数的K理論
2016-2017 , 代数的K理論
2010-2011 , 結び目のなす空間について

Social Activities

Social Activitie: Organization of Conferences and/or Symposia
20160401 - , 現代数学勉強会 , 現代数学勉強会 , 主催

Shinshu University Researcher Directory

TAMAKI DAI

Profile

Research

Education

Social Activities

TAMAKI　DAI