Shinshu University HOMEJAPANESEAccess / Campus Map

Shinshu University Researcher DirectoryShinshu University Researcher Directory

Search by Researcher / Research Field
Search by Category

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:09/05/2016

Profile

Assigned Class
Graduate School, Division of Science and Technology
Interdisciplinary Graduate School of Science and Technology
Research Field
Geometry
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
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
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

Education

Lectures
2002
2002
International Student Receipt
2009 , First Term:1
Researcher Receipt
2010-2011 , 結び目のなす空間について