KIMURA Kenichiro

Affiliation
Institute of Pure and Applied Sciences
Official title
Assistant Professor
Research fields
Algebra
Research projects
バー構成による混合モチーフの研究2017 -- 2019木村 健一郎Japan Society for the Promotion of Science/Grant-in-Aid for Scientific Research(C)4,030,000Yen
Study on K-groups and Chow groups of Algebraic varieties -- (current)/
混合楕円モチーフの研究2010 -- 2012Japan Society of for the Promotion of Science/基盤研究(C)3,380,000Yen
モチーフの数論的性質の研究2007 -- 2009Japan Society of for the Promotion of Science/基盤研究(C)4,290,000Yen
高次元の体上の代数多様体のＣｈｏｗ群、Ｋ群の研究2004 -- 2006Japan Society of for the Promotion of Science/若手研究(B)3,500,000Yen
代数多様体のL関数とK群、Chow群の関係2003 -- (current)Japan Society of for the Promotion of Science/若手研究(B)1,700,000Yen
代数多様体のK群、Chow群とL関数の関係2000 -- (current)Japan Society of for the Promotion of Science/奨励研究(A)1,300,000Yen
代数多様体のK群、Chow群とL関数の関係1999 -- (current)Japan Society of for the Promotion of Science/奨励研究(A)2,100,000Yen
モチーフの実現関手の構成2013 -- 2015木村 健一郎Japan Society for the Promotion of Science/基盤研究(C)4,680,000Yen
Academic background
-- 1991The University of Tokyo Faculty of Science 数学科
-- 1996The University of Tokyo Graduate School, Division of Mathematical Sciences 数理科学
Degree
修士(数理科学)
博士(数理科学)
Academic societies
-- (current)日本数学会
Articles
  • Semi-algebraic chains on projective varieties and the Abel-Jacobi map for higher Chow cycles
    Kimura Kenichiro
    Transactions of the American Mathematical Society/374(11)/pp.7589-7619, 2021
  • Integrals of logarithmic forms on semi-algebraic sets and a generalized Cauchy formula Part II: generalized Cauchy formula
    Kimura Kenichiro; 花村昌樹; 寺杣友秀
    arXiv:1604.03216, 2017-04
  • Integrals of logarithmic forms on semi-algebraic sets and a generalized Cauchy formula, Part I: convergence theorems
    Kimura Kenichiro; 花村昌樹; 寺杣友秀
    arXiv:1509.06950, 2015-09
  • The Hodge realization of mixed Tate motives (Hopf algebras and quantum groups : their possible applications)
    木村 健一郎
    RIMS Kokyuroku/1840/pp.139-148, 2013-06
    CiNii
  • K2 of a Fermat quotient and the value of its L-function
    Kenichiro Kimura
    K-Theory/10(1)/p.73-81, 1996-01
  • An example of algebraic cycle with non-trivial Abel-Jacobi image
    Kenichiro Kimura
    J.Algebra/222(1)/p.129-145, 1999-01
  • On modified diagonal cycles in triple products of Fermat quotients
    Kenichiro Kimura
    Math. Z./235(4)/p.727-746, 2000-01
  • A Remark on the Griffiths groups of certain product varieties
    Kenichiro Kimura
    CRM Proc. Lecture Notes/24/p.361-365, 2000-01
  • Elliptic Units in K2
    Kenichiro Kimura
    J.Number theory/101(1)/p.1-12, 2003-01
  • On K_1 of a self-product of a curve
    Kenichiro Kimura
    Math. Z./245(1)/p.93-96, 2003-01
  • A rational map between two threefolds
    Kenichiro Kimura
    AMS/IP Studies in Advanced Mathematics/38/p.87-88, 2006-12
  • A Remark on the second Abel-Jacobi map
    Kenichiro Kimura
    Cycles, Motives and Shimura Varieties/p.217-226, 2010-01
  • Relative DGA and Mixed Elliptic Motives
    Kenichiro Kimura; Tomohide Terasoma
    Preprint/p.63 pages, 2011-01
  • Motivic zeta functions in additive monoidal categories
    Kimura Kenichiro; Kimura Shun-ichi; Takahashi Nobuyoshi
    JOURNAL OF K-THEORY/9(3)/pp.459-473, 2012-06
  • モジュラー曲線の積の上のゼロサイクルについて (代数的整数論とその周辺)
    木村 健一郎
    RIMS Kokyuroku/1451(0)/pp.165-167, 2005-10
    CiNii
  • Zero-cycles on self-product of modular curves
    Kimura Kenichiro
    MATHEMATISCHE ZEITSCHRIFT/256(3)/pp.563-571, 2007-07
  • Nori's construction and the second Abel-Jacobi map
    Kimura Kenichiro
    MATHEMATICAL RESEARCH LETTERS/14(5-6)/pp.973-981, 2007-09
  • Murre's conjectures for certain product varieties
    Kimura Kenichiro
    JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY/47(3)/pp.621-629, 2007-01
  • Indecomposable higher Chow cycles
    Kimura K
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES/48(2)/pp.237-243, 2005-06
Conference, etc.
  • The Abel-Jacobi map for higher Chow cycles
    木村 健一郎
    Arithmetic and Algebraic Geometry/2019-01-21--2019-01-25
  • The Abel-Jacobi map for higher Chow cycles
    木村 健一郎
    Arithmetic and Algebraic Geometry 2019/2019-01-21--2019-01-25
  • The Abel-Jacobi map for higher Chow cycles
    木村 健一郎
    Working Workshop on Calabi-Yau Varieties and Related Topics/2018-08-09--2018-08-10
  • Hodge realization of Bloch-Kriz mixed Tate motives via integral of logarithmic forms
    木村 健一郎
    Regulators in Niseko 2017/2017-09-04--2017-09-08
  • Hodge realization of Bloch-Kriz mixed Tate motives via integral of logarithmic forms
    Kimura Kenichiro
    第12回代数・解析・幾何学セミナー/2017-02-13--2017-02-16
  • Semi-algebraic chains and the Hodge realization of mixed Tate motives
    木村 健一郎
    TSUDA COLLEGE MINI-WORKSHOP ON CALABI–YAU VARIETIES:ARITHMETIC, GEOMETRY AND PHYSICS/2015-8-5--2015-8-7
  • On the second Abel-Jacobi map
    Kimura Kenichiro
    International colloquium on ``Cycles, Motives and Shimura varieties''/2008-01-10
  • On the second Abel-Jacobi map
    Kimura Kenichiro
    Autour des cycles algebriques/2008-03-18
  • Hodge realization of mixed Tate motives
    木村 健一郎
    ホップ代数と量子群-応用 の可能性/2012-09-03--2012-09-06
  • 混合楕円モチーフについて
    木村健一郎
    周期積分とモチーフ/2010-02-01
Teaching
2024-10 -- 2025-02Research in Algebra VAUniversity of Tsukuba.
2024-04 -- 2024-08Research in Algebra IBUniversity of Tsukuba.
2024-04 -- 2024-08Research in Algebra VBUniversity of Tsukuba.
2024-10 -- 2025-02Research in Algebra IAUniversity of Tsukuba.
2024-04 -- 2024-08Seminar on MathematicsUniversity of Tsukuba.
2024-10 -- 2025-02Seminar on MathematicsUniversity of Tsukuba.
2024-04 -- 2024-08Research in Algebra IIIBUniversity of Tsukuba.
2024-12 -- 2025-02Linear Algebra 3University of Tsukuba.
2024-10 -- 2025-02Research in Algebra IIAUniversity of Tsukuba.
2024-10 -- 2024-12Linear Algebra 2University of Tsukuba.
more...
Talks
  • Mixed elliptic motives
    木村健一郎
    NUMBER THEORY, GEOMETRY AND PHYSICS AT THE CROSSROADS/2010-08-01
  • Hodge realization of mixed Tate motives
    木村健一郎
    玉原特殊多様体研究集会/2011-09-01
  • Hodge realization of mixed Tate motives　via period integral
    木村健一郎
    代数幾何とモチーフ理論　ワークショップ/2012-03-08

(Last updated: 2022-08-01)