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Takeuchi Kiyoshi

Affiliation
Faculty of Pure and Applied Sciences
Official title
Professor
Email
 
Research fields
Basic analysis
Research keywords
D-modules
microlocal analysis
perverse sheaves
singularity theory
hypergeometric functions
Research projects
不確定特異点を持つD-加群と幾何学的モノドロミーの研究2017 -- 2021竹内 潔Japan Society for the Promotion of Science/Grant-in-Aid for Scientific Research(B)17,420,000Yen
Applications of algebraic analysis to singularity theory2004-04 -- 2007-03/
幾何学的および解析的モノドロミーと局所ゼータ関数の研究2010 -- 2012Japan Society of for the Promotion of Science/基盤研究(C)4,290,000Yen
代数解析学の幾何学への応用2007 -- 2009Japan Society of for the Promotion of Science/基盤研究(C)4,550,000Yen
代数解析の特異点理論への応用 2004 -- 2006Japan Society of for the Promotion of Science/若手研究(B)3,500,000Yen
D-加群の解の構造の幾何学的研究2003 -- (current)Japan Society of for the Promotion of Science/若手研究(B)3,300,000Yen
代数解析とその表現論への応用2000 -- (current)Japan Society of for the Promotion of Science/奨励研究(A)800,000Yen
多項式写像と多変数超幾何関数の大域的モノドロミーの研究2013 -- 2015竹内 潔Japan Society for the Promotion of Science/基盤研究(C)4,810,000Yen
Degree
博士(数理科学)The University of Tokyo
修士(理学)
Academic societies
-- (current)日本数学会
Articles
Books
  • D-modules
    竹内 潔
    共立出版, 2017-08
  • D-modules, perverse sheaves and representation theory
    R. Hotta; K. Takeuchi; T. Tanisaki
    Birkhauser, 2007-01
Conference, etc.
  • Exponential factors and Fourier transforms of D-modules
    Takeuchi Kiyoshi
    Higgs bundles and D-modules/2019-06-03--2019-06-03
  • On the monodromy conjecture for non-degenerate hypersurfaces
    Takeuchi Kiyoshi
    3rd PRIMA congress in Oaxaca/2017-08--2017-08
  • On the monodromies and the limit mixed Hodge structures of families of algebraic varieties
    Takeuchi Kiyoshi
    Singularity theory conference/2017-07-12--2017-07-12
  • On irregularities of Fourier transforms of regular holonomic D-modules
    Takeuchi Kiyoshi
    Riemann-Hilbert correspondences/2018-02-06--2018-02-06
  • On the monodromies and the limit mixed Hodge structures of families of algebraic varieties
    Takeuchi Kiyoshi
    Iberian Meeting on Algebraic Analysis/2016-6-9
  • On the monodromies and the limit mixed Hodge structures of families of algebraic varieties
    Takeuchi Kiyoshi
    The 3rd Franco-Japanese-Vietnamese Symposium on Singularities/2015-11-30
  • Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets
    Takeuchi Kiyoshi
    D-modules and singularities/2015-9-15
  • Monodromies and asymptotic expansions at infinity of confluent A-hypergeometric functions
    竹内 潔
    農工大数学セミナー/2015-6-23
  • 多項式写像の無限遠点における特異性とモノドロミー
    竹内 潔
    トポロジーシンポジウム/2014-07-28--2014-07-28
  • Monodromies and asymptotic expansions at infinity of confluent A-hypergeometric functions
    竹内 潔
    First Joint International Meeting RSME-SCM etc./2014-06-30--2014-06-30
  • Bifurcation points of polynomial functions and perverse sheaves
    Takeuchi Kiyoshi
    超平面と超曲面特異点のトポロジー/2014-04-26
  • 合流型A-超幾何関数のモノドロミーについて
    竹内 潔
    超幾何方程式研究会 2014/2014-01-07
  • Toric compactifications for polynomial maps and their applications
    Takeuchi Kiyoshi
    The 1st Franco-Japanese-Vietnamese Symposium on Singularities/2013-09-19
  • On the monodromies of complex polynomials
    Takeuchi Kiyoshi
    Australian-Japanese workshop on real and complex singularities/2013-09-10
  • Confluent A-hypergeometric functions and rapid decay homology cycles
    Takeuchi Kiyoshi
    Weekend workshop on computational approaches to D-modules and hypergeometric systems/2013-04-20
  • Katzのrigidity index定理について
    竹内潔
    Workshop on Accessory Paramaters/2008-08-01
  • Lectures on D-module Theory: Gauss-Manin connections and b-functions
    K. Takeuchi; T. Tanisaki
    D加群と特異点理論についての連続講義/2005-08-01
Teaching
2019-10 -- 2020-02Research in Analysis IAUniversity of Tsukuba.
2019-04 -- 2019-08Research in Analysis IIIAUniversity of Tsukuba.
2019-10 -- 2020-02Seminar on Special Research on Mathematics IIIBUniversity of Tsukuba.
2019-10 -- 2020-02Research in Analysis IVBUniversity of Tsukuba.
2019-10 -- 2020-02Research in Analysis IIAUniversity of Tsukuba.
2019-04 -- 2019-08Research in Analysis IVAUniversity of Tsukuba.
2019-10 -- 2020-02Research in Analysis IIIBUniversity of Tsukuba.
2019-04 -- 2019-08Research in Analysis VAUniversity of Tsukuba.
2019-04 -- 2019-08Research in Analysis IIBUniversity of Tsukuba.
2019-04 -- 2019-08Special Research on Mathematics IIIAUniversity of Tsukuba.
Talks
  • Confluent A-hypergeometric functions and rapid decay homology cycles
    K. Takeuchi
    アクセサリー・パラメーター研究会
  • Geometry of non-tame polynomial maps
    K. Takeuchi
    The Second Pacific Rim Mathematical Association Congress
  • Monodromies at infinity of tame and non-tame polynomials
    K. Takeuchi
    Topology of real singularities and motivic aspects
  • Monodromies at infinity of tame and non-tame polynomials
    K. Takeuchi
    Workshop on Free Divisors and Differential Equations
  • 合流型 A-超幾何関数の積分表示と漸近展開
    K. Takeuchi
    微分方程式の総合的研究
  • Motivic Milnor fibers and Jordan normal forms of monodromies
    K. Takeuchi
    2012-02-01
  • Motivic Milnor fibers and Jordan normal forms of monodromies
    K. Takeuchi
    2012-01-01
  • Confluent A-hypergeometric functions and rapid decay homology cycles
    K. Takeuchi
    微分方程式セミナー/2012-01-01
  • Motivic Milnor fibers and Jordan normal forms of monodromies
    K. Takeuchi
    特異点セミナー/2012-01-01
  • 無限遠点におけるモノドロミーと A-超幾何関数
    K. Takeuchi
    数学談話会/2011-12-01
  • Confluent A-hypergeometric functions and rapid decay homology cycles
    K. Takeuchi
    Mathematics-String セミナー/2011-12-01
  • A-discriminants and A-hypergeometric functions
    K. Takeuchi
    第4回日豪特異点研究集会/2011-11-01
  • Motivic Milnor fibers and Jordan normal forms of monodromies
    K. Takeuchi
    トポロジー火曜セミナー/2011-11-01
  • On confluent A-hypergeometric functions
    K. Takeuchi
    関口次郎教授還暦記念集会/2011-09-01
  • Motivic Milnor fibers and their virtual Betti numbers
    K. Takeuchi
    第6回日仏特異点シンポジウム/2011-09-01
  • Motivic Milnor fibers and Newton polyhedra
    K. Takeuchi
    Singularity theory conference/2011-07-01
  • Motivic Milnor fibers and Jordan normal forms of monodromies
    竹内潔
    Workshop on Geometry and Analysis of Discriminants/2011-02-01
  • モチヴィックミルナーファイバーとニュートン多面体
    竹内潔
    数学談話会/2011-01-01
  • 代数的D-加群が解析的D-加群よりいかに簡単かについて
    竹内潔
    計算による数理科学の展開/2011-01-01
  • モチヴィックミルナーファイバーとニュートン多面体
    竹内潔
    数学談話会/2010-10-01
  • Motivic Milnor fibers, mixed Hodge modules and Newton polyhedrons
    竹内潔
    特異点と多様体の幾何学/2010-09-01
  • Milnor fibers over toric varieties and their applications to A-discriminants and monodromies at infinity
    竹内潔
    特異点セミナー/2010-06-01
  • Monodromy at infinity of polynomial maps and A-hypergeometric functions
    竹内潔
    2010-04-01
  • Motivic Milnor fibers at infinity and mixed Hodge modules
    竹内潔
    第5回代数・解析・幾何学セミナー/2010-02-01
  • Monodromy at infinity and mixed Hodge modules I, II
    竹内潔
    琉球大学セミナー/2009-10-01

(Last updated: 2019-06-14)