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J-GLOBAL ID:200901038891748944
Update date: Jan. 30, 2024
Takeuchi Kiyoshi
タケウチ キヨシ | Takeuchi Kiyoshi
Affiliation and department:
Job title:
Professor
Research field (1):
Basic analysis
Research theme for competitive and other funds (23):
- 2017 - 2022 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
- 2016 - 2019 General studies on L-class, cobordism theory, bivariant theory and related topics
- 2012 - 2017 Residue theory on singular varieties and its applications
- 2013 - 2016 Study on polynomial maps and hypergeometric functions of several variables
- 2011 - 2016 New developments of singularity theory of mappings
- 2010 - 2012 Study of geometric and analytic monodromies and local zeta functions
- 2009 - 2011 Localization theory of Atiyah classes and its applications
- 2007 - 2009 Radon transforms on homogeneous spaces and their application to harmonic analysis
- 2007 - 2009 Applications of algebraic analysis to geometry
- 2004 - 2007 Applications of algebraic analysis to singularity theory
- 2005 - 2007 Complex analysis of residues currents and computational algebraic analysis
- 2005 - 2006 Lie algebras and quantum groups via algebraic analysis
- 2004 - 2006 Harmonic analysis on Grassmann manifolds and its applications to Radon transforms and inverse problems
- 2003 - 2004 Representation theory of algebraic groups via algebraic analysis
- 2001 - 2004 Toward to a generalization of modular invariance of vertex operator algebras into Hilbert type and Siegel type.
- 2002 - 2003 D-加群の解の構造の幾何学的研究
- 2001 - 2002 Global properties of differential operators of subdeterminantal type and integral geometry on symmetric spaces
- 1999 - 2000 Representation theory of algebraic groups through algebraic analysis
- 1998 - 1999 有限体およびP進体上のKZ方程式とその表現論への応用
- 1997 - 1998 高余次元境界値問題と大域解析
- 1996 - 1996 代数群の表現論の代数解析学的研究
- Higher codimensional Boundary Valne Problems and Second Microlocalization
- Algebraic analysis and its applications to representation theory
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Papers (48):
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K. Takeuchi. On a Bernstein-Sato polynomial of a meromorphic function. Nagoya Math. Journal. 2023
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T. Saito, K. Takeuchi. On the monodromies and the limit mixed Hodge structures of families of algebraic varieties. Michigan Math. J. 2023
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T.T. Nguyen and K. Takeuchi. Meromorphic nearby cycle functors and monodromies of meromorphic functions (with Appendix by T. Saito). Revista Matematica Complutense. 2023
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A. Esterov, A. Lemahieu, K. Takeuchi. On the monodromy conjecture for non-degenerate hypersurfaces. J. of European Mathematical Society. 2022. 24. 3873-3949
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T.T. Nguyen, T. Saito, K. Takeuchi. The bifurcation set of a rational function via Newton polytopes. Math. Zeitschrift. 2021. 298. 3873-3949
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MISC (2):
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Takeuchi Kiyoshi. Higher codimensional BVP for $\mathcal{D}$-modules (Complex Analysis and Microlocal Analysis). RIMS Kokyuroku. 1999. 1090. 87-99
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KOSHIMIZU HIROSHI, TAKEUCHI KIYOSHI. Cauchy Problems for Sheaves and its Applications(Study of Partial Differential Equations by means of Functional Analysis). RIMS Kokyuroku. 1996. 969. 58-68
Books (2):
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D-modules
共立出版 2017
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D-modules, perverse sheaves and representation theory
Birkhauser 2007
Lectures and oral presentations (14):
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On irregularities of Fourier transforms of regular holonomic D-modules
(27th ICFIDCAA Krasnoyarsk 2019)
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Meromorphic nearby cycle functors and monodromies of meromorphic functions
(Non-isolated singularities and derived geometry 2019)
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Exponential factors and Fourier transforms of D-modules
(Higgs bundles and D-modules 2019)
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On irregularities of Fourier transforms of regular holonomic D-modules
(Riemann-Hilbert correspondences 2018)
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On the monodromy conjecture for non-degenerate hypersurfaces
(3rd PRIMA congress in Oaxaca 2017)
more...
Professional career (2):
Association Membership(s) (1):
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