MIYACHI　Jun-ichi

MathematicsSpecially Appointed faculty member

Researcher Information

Other affiliation

  • Tokyo Gakugei University, Natural Sciences DivisionMathematics 数学分野, Professor
  • Tokyo Gakugei University, Mathematics, Professor

Degree

  • 博士（理学）

Research Areas

  • Algebra

Research Interests

  • Representation theory of algebra

Subject of Research

  • Study on derived categories and triangulated categories
    1991
Research activity information

Books and Other Publications

  • 算数教育のための数学
    May 2018, 宮地 淳一, 竹内 伸子, 田中 心, 長瀬 潤, 相原 琢磨, 培風館
  • 数学辞典
    Mar. 2007, 日本数学会, 岩波書店

Papers

  • Derived categories of NDG categories
    31 Mar. 2021, Miyachi, Jun-ichi, Nagase, Hiroshi, joint, J. Homotopy Relat. Struct., Springer, 16, 2
  • Derived categories of N-complexes
    Nov. 2017, only, J. London Math. Soc., London Mathematical Society, 96, 3, https://doi.org/10.1112/jlms.12084
  • Recollement of homotopy categories and Cohen-Macaulay modules.
    Dec. 2011, Iyama, Osamu, Kato, Kiriko, Miyachi, Jun-Ichi, joint, J. K-theory, CAMBRIDGE UNIVERSITY PRESS, 8, 3
  • Compact objects in stable module categories
    Jun. 2007, only, Arch. Math, 89
  • The Auslander condition and homological dimension of modules
    Jun. 2006, Ko Enomoto, Jun-ichi Miyachi, joint, Bulletin of Tokyo Gakugei Univ., 58
  • Grothendieck groups of unbounded complexes of finitely generated modules
    Apr. 2006, Jun-ichi Miyachi, only, Arch. Math., 86, 4
  • Recollement and tilting complexes
    Aug. 2003, only, J. Pure Appl. Algebra, 183
  • On t-structures and Torsion Theories Induced by Compact Objects
    Feb. 2002, Jun-ichi Miyachi*, Mitsuo Hoshino, Yoshiaki Kato, joint, J. Pure and Appl. Algebra, 167
  • Derived Picard Groups of Finite Dimensional Hereditary Algebras
    Dec. 2001, Jun-ichi Miyachi*, Amnon Yekutieli, joint, Compositio Math., 129
  • Injective resolutions of Noetherian rings and cogenerators
    Feb. 2000, only, Proceedings of the American Mathematical Society, 128

Presentations

  • On N-differential graded categories
    16 Feb. 2020, A conference in celebration of the 60th Birthday of Amnon Yekutieli (Ben Gurion University) and the publication of his new book “Derived Categories”
  • HOMOTOPY CATEGORIES AND DERIVED CATEGORIES OF N-COMPLEXES
    Mar. 2015, 日本数学会年会
  • Homological algebra of N-complexes
    Oct. 2014, 可換環論と表現論　吉野雄二先生還暦記念研究集会
  • Subcategories of triangulated categories and localization
    Jun. 2010, RNA 2011
  • Polygons of recollement
    Aug. 2009, RIMS 研究集会 超局所解析と漸近解析の最近の進展
  • Brown representability and localization of homotopy categories
    Jul. 2009, Laboratory of Economics and Management
  • Derived categories and the representation theory of algebra
    08 Aug. 2006, 第51回代数学シンポジウム
  • Recent methods of derived categories
    2005
  • Derived categories in representation theory
    2004, 草津代数幾何セミナー2004
  • Derived categories in representation theory (I), (II)
    2003, Low dimensional topology and number theory VI
  • Recollement induced by an idempotent and tilting complexes
    2003
  • A combinatorial approach to derived Picard groups
    2002
  • On Non-commutative Gorenstein Rings
    1999, 第44回代数学シンポジウム