Publications


Preprints

  1. (with Yann Palu) Mutation via Hovey twin cotorsion pairs and model structures in extriangulated categories, arXiv:1605.05607.
  2. A simultaneous generalization of mutation and recollement on a triangulated category, arXiv:1512.02173.

Articles

  1. Biset Functors as Module Mackey Functors and its Relation to Derivators
    Communications in Algebra, 44 (2016) 5105--5148.

  2. Equivalence of Hearts of Twin Cotorsion Pairs on Triangulated Categories
    Communications in Algebra, 44 (2016) 4302--4326.

  3. Partial Tambara structure on the Burnside biset functor, induced from a derivator-like system of adjoint triplets
    Journal of Algebra, 451 (2016) 166--207.

  4. A Mackey-functor theoretic interpretation of biset functors
    Advances in Mathematics, 289 (2016) 603--684.

  5. Biset transformations of Tambara functors
    Journal of Algebra, 399 (2014) 904--926.

  6. The spectrum of the Burnside Tambara functor on a finite cyclic p-group
    Journal of Algebra, 398 (2014) 21--54.

  7. A generalization of The Dress construction for a Tambara functor, and polynomial Tambara functors
    Advances in Mathematics, 235 (2013) 237--260.

  8. General heart construction for twin torsion pairs on triangulated categories
    Journal of Algebra, 374 (2013) 195--215.

  9. On the fractions of semi-Mackey and Tambara functors
    Journal of Algebra, 352 (2012) no.1,79--103.

  10. Ideals of Tambara functors
    Advances in Mathematics, 230 (2012) no.4-6, 2295--2331.

  11. (with Noriyuki Abe) General heart construction on a triangulated category (II): Associated homological functor
    Applied Categorical Structures, 20 (2012) no.2, 161--174.

  12. Tambarization of a Mackey functor and its application to the Witt-Burnside construction
    Advances in Mathematics, 227 (2011), no.5, 2107-2143.

  13. General heart construction on a triangulated category (I): Unifying t-structures and cluster tilting subcategories
    Applied Categorical Structures, 19 (2011) no.6, 879--899.

  14. Comparison of the definitions of Abelian 2-categories
    Tsukuba Journal of Mathematics, 34 (2010), No.2, 173--182.

  15. Tambara functors on profinite groups and generalized Burnside functors
    Communications in Algebra 37 (2009) no.9, 3095--3151.

  16. Cohomology theory in 2-categories
    Theory and Applications of Categories 20 (2008), No.16, 542--604.

  17. Structure of the Brauer ring of a field extension
    Illinois Journal of Mathematics 52 (2008), no.1, 261--277.

Books (in Japanese)

  1. 「圏論の技法 ―アーベル圏と三角圏でのホモロジー代数―」 日本評論社 487頁 (2015)
  2. 「圏論の歩き方」(分担執筆、第13章P.213-229を阿部弘樹さんと共著) 日本評論社 (2015)


Some Talks

(-> more)
  1. Mutation via Hovey twin cotorsion pairs and model structures in extriangulated categories, Triangulated Categories and Applications,BIRS,June 2016.

  2. An interpretation of biset functors as Mackey functors on finite groupoids, and its relation to derivators, Equivariant Derived Algebraic Geometry, BIRS, Feb. 2016.

  3. Toward the denition of Tambara biset functor, Functorial Methods in Representation Theory, Ecole Polytechnique Fédérale de Lausanne, Sept. 2015.

  4. A Mackey-functor interpretation of biset functors and applications, Journée mathématique du LAMFA, Université de Picardie Jules-Verne, June 2014.

  5. (poster session) On the 2-category of finite sets with variable group actions, Category Theory 2014, Cambridge University, July 2014.

  6. On torsion pairs on triangulated categories, 代数学シンポジウム, Kyoto University, Aug. 2012.

  7. (parallel session)Construction of a (pre-)abelian category from a pair of torsion pairs on a triangulated category, ICRA 2012, Universität Bielefeld, Aug. 2012.

  8. Some algebraic operations on Tambara functors on finite groups, 有限群とその表現, 頂点作用素代数, 代数的組合せ論の研究 , RIMS, Kyoto University, Mar. 2012.

  9. Some homological constructions on triangulated categories, 代数幾何ワークショップ, the University of Tokyo, Dec. 2011.

  10. Some homological constructions on triangulated categories, 第10回 静岡代数学セミナー, Shizuoka University, Dec. 2011.

  11. Tambara functor as a $G$-bivariant analog of commutative ring, 空間の代数的・幾何的モデルとその周辺, RIMS, Kyoto University, Sept. 2011.

  12. Some algebraic operations on Tambara functors on finite groups, 有限群のコホモロジー論とその周辺, RIMS, Kyoto University, Sept. 2011.

  13. On a generalization of the Dress construction for Tambara functors, and its application to the Witt-Burnside construction, 6th AAG seminar, Kagoshima University, Feb. 2011

  14. An Introduction to Triangulated Categories, Adventures of Categories - Applied Category Theory Colloquium, Kyoto University, Dec. 2010.

  15. Introduction to 2-categories, 代数幾何研究集会2010, Hosei University,Sep. 2010.

  16. Categorical aspect of the Witt-Burnside construction, 第27回代数的組合せ論シンポジウム, Kochi University, June 2010.

  17. Categorical aspect of the Witt-Burnside construction, Lefschetz fibration and category theory, Osaka University, June 2010.

  18. On some homological constructions concerning abelian and triangulated categories, 5th AAG seminar, Kagoshima University, Feb. 2010.

  19. General heart construction on a triangulated category, Category Theory, Computer Science and Topology, Shinshu University, Oct. 2009.

  20. General heart construction on a triangulated category, Complex algebraic geometry, Oberwolfach, Germany, Sep. 2009.

  21. Cohomology theory in 2-categories: Definitions and Comparison, 高次圏による表現論・ホモトピー代数・代数幾何学, Kyoto University, Sep. 2009.

  22. Introduction to the 2-categorical homological algebra, Math.-String seminar, IPMU Mar. 2009.

  23. Mackey functorの随伴性を用いたある種の環の構造決定について, 高次元代数多様体とベクトル束, 京都大学数理解析研究所 2007年7月.


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