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TAMAKI DAI

Academic OrganizationAcademic Assembly School of Science and Technology Institute of ScienceTEL
Education and Research OrganizationFaculty of Science Department of MathematicsFAX
PositionProfessorMail Addressrivulus@shinshu-u.ac.jp
Address2-29-4, Tokida, Ueda, Nagano, 386-0018Web sitehttp://pantodon.shinshu-u.ac.jp/

Modified:09/28/2017

Profile

Assigned Class
Graduate School, Division of Science and Technology
Interdisciplinary Graduate School of Science and Technology
Research Field
Geometry
Keywords:loop space , operad , discrete Morse theory , homotopy group , model category , classifying space , category and functor , homology
Current Subject
Construction of spectral sequences for loop spaces
Keywords:loop space , configuration space , homology , spectral sequence
The study of the $v_n$-Bockstein operations on the homology of loop spaces
Keywords:loop space , homology
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
Research Career
Research Career
2010-
2002-
1995-
1993-
2000-2000

Other Career
2015-2015 , Tokyo Metropolitan University, lecturer
2010-2010
2009-2009
2004-2004
2003-2003
1997-1997

Research

Books, Articles, etc.
Books
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)
Mathematical Sciences Publishers , Geometry and Topology Monographs , 13 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
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;


TOTALLY NORMAL CELLULAR STRATIFIED SPACES AND APPLICATIONS TO THE CONFIGURATION SPACE OF GRAPHS
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS,45(1):169-214 2015(Mar.)
Author:Furuse, Mizuki; Mukouyama, Takashi; Tamaki, Dai;


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


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;


Higher topological complexity and its symmetrization
ALGEBRAIC AND GEOMETRIC TOPOLOGY,14(4):2103-2124 2014
Author:Basabe, Ibai; Gonzalez, Jesus; Rudyak, Yuli B.; Tamaki, Dai;


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


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;


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


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;


The Salvetti complex and the little cubes
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY,14(3):801-840 2012
Author:Tamaki, Dai;


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


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;


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;


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


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;


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


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;


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;


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
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)
Author:Dai Tamaki


A combinatorial model for graph braid groups
IBS Center for Geometry and Physics, Pohang, Korea , The 2nd mini workshop on knot theory 2016(Dec. 16)
Author: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)
Author:Dai Tamaki


小圏の分類空間とその応用
数学オリンピック財団 , 第16回JMO夏季セミナー 2016(Aug. 23)
Author:玉木 大


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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

Research Grants
Grants‐in‐aid for Scientific Research(Research Representative)
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)
2011 - 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 , 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)
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

Education

Lectures
2002
2002
International Student Receipt
2009 , First Term:1
Researcher Receipt
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