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

Geometry, homotopy theory

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

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

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

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

Discrete Morse theory and classifying spaces
Vidit Nanda, Dai Tamaki, Kohei Tanaka
Advances in Mathematics, 340, 723-790, 2018, Refereed

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, Refereed

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

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

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

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

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

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, 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

数学を伝える ウェブを使って文献情報を整理する
玉木 大
数学セミナー, (2月号), 2 - 4, Jan. 2025, Invited
Lead

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

小さな圏の効用
玉木 大
数理科学, (2月号), 36 - 37, Jan. 2016, Invited
Lead

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

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

A duoidal approach to homological algebra
Dai Tamaki
Workshop in Homotopy Theory, Focus Program on Algebraic Topology in memory of Fred Cohen, 11 Jul. 2025, Invited

Model structures for Hopfological algebra
Dai Tamaki
Classifying spaces in homotopy theory in honour of Ran Levi's 60th birthday, 09 Sep. 2022, Invited

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

トポロジー
Shinshu University

幾何学
Shinshu University

The Mathematical Society of Japan

The American Mathematical Society

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

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

2009, 1

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