Masaki Kashiwara | Academic Influence

Masaki Kashiwara's AcademicInfluence.com Rankings

Masaki Kashiwara

Mathematics

#125

World Rank

#316

Historical Rank

Algebraic Geometry

#40

World Rank

#42

Historical Rank

Measure Theory

#505

World Rank

#713

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Masaki Kashiwara's Degrees

Bachelors Mathematics Kyoto University
Doctorate Mathematics Kyoto University

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is Masaki Kashiwara Influential?

(Suggest an Edit or Addition)

According to Wikipedia, is a Japanese mathematician. He was a student of Mikio Sato at the University of Tokyo. Kashiwara made leading contributions towards algebraic analysis, microlocal analysis, D-module theory, Hodge theory, sheaf theory and representation theory.

(See a Problem?)

Masaki Kashiwara's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Sheaves on Manifolds (1990) (1265)
On crystal bases of the $Q$-analogue of universal enveloping algebras (1991) (1200)
TRANSFORMATION GROUPS FOR SOLITON EQUATIONS (1982) (836)
Crystalizing theq-analogue of universal enveloping algebras (1990) (564)
Crystal Graphs for Representations of the q-Analogue of Classical Lie Algebras (1994) (510)
On the Segal-Shale-Weil representations and harmonic polynomials (1978) (440)
Transformation groups for soliton equations: IV. A new hierarchy of soliton equations of KP-type (1982) (421)
The crystal base and Littelmann’s refined Demazure character formula (1993) (405)
Kazhdan-Lusztig conjecture and holonomic systems (1981) (392)
B-functions and holonomic systems (1976) (381)
AFFINE CRYSTALS AND VERTEX MODELS (1992) (355)
The Riemann-Hilbert Problem for Holonomic Systems (1984) (323)
Operator Approach to the Kadomtsev-Petviashvili Equation —Transformation Groups for Soliton Equations III— (1981) (319)
Perfect crystals of quantum affine Lie algebras (1992) (272)
Crystal bases of modified quantized enveloping algebra (1994) (259)
On level-zero representation of quantized affine algebras (2000) (251)
Geometric construction of crystal bases (1996) (249)
Global crystal bases of quantum groups (1993) (242)
Vanishing cycle sheaves and holonomic systems of differential equations (1983) (227)
D-Modules and Microlocal Calculus (2002) (225)
Transformation Groups for Soliton Equations —Euclidean Lie Algebras and Reduction of the KP Hierarchy— (1982) (224)
On the holonomic systems of linear differential equations, II (1978) (204)
Eigenfunctions of invariant differential operators on a symmetric space (1978) (190)
On Holonomic Systems of Micro-differential Equations. III-Systems with Regular Singularities- (1981) (187)
KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI– (1981) (184)
A study of variation of mixed Hodge structure (1987) (181)
Algebraic study of systems of partial differential equations (1995) (174)
Finite-Dimensional Representations of Quantum Affine Algebras (1997) (172)
Kazhdan-Lusztig conjecture for affine Lie algebras with negative level (1995) (160)
On the Maximally Overdetermined System of Linear Differential Equations (I) (超函数と線型微分方程式 II) (1974) (153)
Systems of differential equations with regular singularities and their boundary value problems (1977) (144)
Crystal bases of Verma modules for quantum affine Lie algebras (1994) (139)
Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras (2011) (135)
The invariant holonomic system on a semisimple Lie algebra (1984) (131)
Decomposition ofq-deformed Fock spaces (1995) (118)
Vertex operators and $\tau$ functions transformation groups for soliton equations, II (1981) (102)
Deformation Quantization Modules (2010) (102)
Moderate and formal cohomology associated with constructible sheaves (1996) (102)
The Campbell-Hausdorff formula and invariant hyperfunctions (1978) (99)
Monoidal categorification of cluster algebras (2014) (98)
Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras (2013) (98)
Micro-local analysis of prehomogeneous vector spaces (1980) (90)
The Poincare´ lemma for variations of polarized Hodge structure (1987) (90)
Sheaf quantization of Hamiltonian isotopies and applications to non displaceability problems (2010) (90)
Systems Of Microdifferential Equations (1983) (83)
Micro-hyperbolic systems (1979) (82)
Quasi-Equivariant D -Modules, Equivariant Derived Category, and Representations of Reductive Lie Groups (1994) (81)
Crystal Bases for the Quantum Superalgebra $U_q(gl(m,n))$ (1998) (78)
Persistent homology and microlocal sheaf theory (2017) (77)
Simplicity of heads and socles of tensor products (2014) (75)
Microlocalization of rational Cherednik algebras (2007) (75)
Crystal bases for the quantum superalgebra _ (2000) (74)
Quantization of contact manifolds (1996) (73)
Realizations of Crystals (2002) (68)
Kazhdan-Lusztig conjecture for affine Lie algebras with negative level II: Nonintegral case (1996) (66)
A class of elliptic solutions to the star-triangle relation (1986) (66)
The Asymptotic Behavior of a Variation of Polarized Hodge Structure (1985) (64)
Level Zero Fundamental Representations over Quantized Affine Algebras and Demazure Modules (2003) (64)
The $\tau$ function of the Kadomtsev-Petviashvili equation transformation groups for soliton equations, I (1981) (62)
Micro-hyperbolic pseudo-differential operators I (1975) (62)
Parabolic Kazhdan-Lusztig polynomials and Schubert varieties (1999) (62)
Characters of irreducible modules with non-critical highest weights over affine Lie algebras (1999) (60)
Index Theorem for a Maximally Overdetermined System of Linear Differential Equations (1973) (59)
Landau-Lifshitz equation: solitons, quasi-periodic solutions and infinite-dimensional Lie algebras (1983) (58)
Index theorem for constructible sheaves (1985) (58)
Quiver Hecke superalgebras (2011) (58)
Supercategorification of quantum Kac-Moody algebras II (2012) (57)
t-Structures on the Derived Categories of Holonomic D-Modules and Coherent O-Modules (2004) (54)
Riemann-Hilbert correspondence for holonomic D-modules (2013) (54)
Crystal Bases for Quantum Generalized Kac–Moody Algebras (2003) (54)
Foundations of algebraic analysis (1986) (50)
Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras IV (2013) (49)
Second-microlocalization and asymptotic expansions (1980) (49)
Perfect crystals andq-deformed Fock spaces (1996) (49)
TRANSFORMATION GROUPS FOR SOLITON EQUATIONS. 6. KP HIERARCHIES OF ORTHOGONAL AND SYMPLECTIC TYPE (1981) (45)
Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebras. III --Positive rational case-- (1998) (45)
Kazhdan-Lusztig Conjecture for A Symmetrizable Kac-Moody Lie Algebra (2007) (43)
The characteristic cycles of holonomic systems on a flag manifold (1984) (43)
Affine geometric crystals and limit of perfect crystals (2005) (41)
Equivariant Derived Category and Representation of Real Semisimple Lie Groups (2008) (40)
Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux (2011) (39)
On the boundary value problem for elliptic system of linear differential equations, II (1972) (36)
On the characteristic variety of a holonomic system with regular singularities (1979) (35)
Quasi-Periodic Solutions of the Orthogonal KP Equation —Transformation Groups for Soliton Equations V— (1982) (34)
Equivariant $K$-theory of affine flag manifolds and affine Grothendieck polynomials (2006) (34)
Crystal bases for the quantum queer superalgebra (2011) (33)
Regular Holonomic $D$-modules and Distributions on Complex Manifolds (1987) (33)
Perfect crystals for Uq(D4(3)) (2006) (31)
Functions on the shilov boundary of the generalized half plane (1979) (31)
On a class of linear partial differential equations whose formal solutions always converge (1979) (30)
The determinant of matrices of pseudo-differential operators (1975) (29)
Character, Character Cycle, Fixed Point Theorem and Group Representations (1988) (28)
Symmetric crystals and affine Hecke algebras of type B (2006) (27)
Hodge structure and holonomic systems (1986) (26)
Foundations of Algebraic Analysis (PMS-37) (1986) (26)
Regular and Irregular Holonomic D-Modules (2015) (26)
Quantum Queer Superalgebra and Crystal Bases (2010) (26)
Symmetric Crystals for gl (2008) (26)
Irregular holonomic kernels and Laplace transform (2014) (25)
K-types and singular spectrum (1979) (25)
Holonomic Systems of Linear Differential Equations and Feynman Integrals (1976) (23)
Integral transforms with exponential kernels and Laplace transform (1997) (23)
Microlocal study of ind-sheaves I: micro-support and regularity (2001) (22)
The Universal Verma Module and the $b$-Function (1985) (21)
Monoidal categorification of cluster algebras II (2015) (21)
Monoidal categorification and quantum affine algebras (2019) (21)
Tropical R maps and Affine Geometric Crystals (2008) (21)
Abstract Crystals for Quantum Generalized Kac-Moody Algebras (2006) (21)
Quasi-unipotent constructible sheaves (1982) (21)
A study of Feynman integrals by micro-differential equations (1978) (20)
Monoidal categories associated with strata of flag manifolds (2017) (20)
Constructibility and duality for simple holonomic modules on complex symplectic manifolds (2005) (20)
Local cohomology and D-affinity in positive characteristic (2002) (20)
Categorical relations between Langlands dual quantum affine algebras: doubly laced types (2017) (20)
Laurent phenomenon and simple modules of quiver Hecke algebras (2018) (19)
Biadjointness in Cyclotomic Khovanov–Lauda–Rouquier Algebras (2012) (19)
INTRODUCTION TO THE THEORY OF HYPERFUNCTIONS (1980) (18)
Representation theory and D-modules on flag varieties (2019) (18)
Representation theory and D-modules on flag varieties (2019) (18)
Enhanced perversities (2015) (17)
Linear differential equations of infinite order and theta functions (1983) (17)
Deformation quantization modules I:Finiteness and duality (2008) (16)
Quantized Affine Algebras and Crystals with Core (1997) (16)
Geometric construction of crystal bases for quantum generalized Kac–Moody algebras (2008) (15)
A vanishing theorem for a class of systems with simple characteristics (1985) (15)
Topological Field Theory, Primitive Forms and Related Topics (1998) (15)
A microlocal approach to the enhanced Fourier–Sato transform in dimension one (2017) (14)
Riemann-Hilbert correspondence for holonomic D-modules (2015) (14)
Crystals and affine Hecke algebras of type D (2007) (14)
ON HOLONOMIC SYSTEMS WITH REGULAR SINGULARITIES (1980) (14)
Semisimple Holonomic D-Modules (1998) (14)
Holonomic character and local monodromy structure of Feynman integrals (1977) (14)
Poincaré lemma for a variation of polarized hodge structure (1985) (13)
Geometric realization of Khovanov–Lauda–Rouquier algebras associated with Borcherds–Cartan data (2012) (13)
Affinizations and R-matrices for quiver Hecke algebras (2015) (13)
On a class of linear differential operators of infinite order with finite index (1986) (13)
Riemann-Hilbert correspondence for irregular holonomic D-modules (2015) (12)
Notes on parameters of quiver Hecke algebras (2012) (12)
Piecewise Linear Sheaves (2018) (12)
Localizations for quiver Hecke algebras (2019) (11)
Monoidal categories of modules over quantum affine algebras of type A and B (2017) (11)
Representation Theory and Complex Analysis (2008) (11)
Microdifferential systems and the codimension-three conjecture (2012) (11)
Modules Over Deformation Quantization Algebroids: An Overview (2009) (10)
Pseudo-differential operators in the theory of hyperfunctions (1970) (10)
CRYSTAL BASES AND CATEGORIFICATIONS - CHERN MEDAL LECTURE (2019) (10)
Application of the microlocal theory of sheaves to the study of ${\mathcal {O}}_X$ (1985) (10)
On the structure of single linear pseudo-differential equations (1972) (10)
On Holonomic Systems for ∏\limitsl=1N(fl+√{−1}0)λl (1979) (10)
Deformation quantization modules II. Hochschild class (2008) (10)
MathPhys Odyssey 2001 (2002) (10)
Micro-analyticity of theS-matrix and related functions (1979) (9)
Structure of Cohomology Groups Whose Coefficients are Microfunction Solution Sheaves of Systems of Pseudo-Differential Equations with Multiple Characteristics. II (1974) (9)
$D$-modules and representation theory of Lie groups (1993) (9)
MICRO-ANALYTIC STRUCTURE OF THE S-MATRIX AND RELATED FUNCTIONS (1976) (9)
Microlocalization of ind-sheaves (2004) (9)
On Quantization of Complex Symplectic Manifolds (2010) (9)
Microlocal Analysis of Theta Functions (1984) (9)
On a conjecture of Regge and Sato on Feynman integrals (1976) (8)
Categorification of highest weight modules over quantum generalized Kac-Moody algebras (2011) (8)
Cluster algebra structures on module categories over quantum affine algebras (2019) (8)
Finiteness Theorem for Holonomic Systems of Micro-differential Equations (1976) (8)
SOME APPLICATIONS OF BOUNDARY VALUE PROBLEMS FOR ELLIPTIC SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS (1980) (7)
The Campbell-Hausdorff Formula (1978) (7)
Microlocal Euler classes and Hochschild homology (2012) (7)
The Invariant Holonomic System on a Semisimple Lie Group (1988) (7)
Crystal bases and categorifications (2018) (6)
Truncated microsupport and holomorphic solutions of D -modules (2002) (6)
Categories over quantum affine algebras and monoidal categorification (2020) (6)
Braid group action on the module category of quantum affine algebras (2020) (6)
PBW theory for quantum affine algebras (2020) (6)
The theory of holonomic systems with regular singularities and its relevance to physical problems (1980) (6)
Characters of the Negative Level Highest-Weight Modules for Affine Lie Algebras (1995) (6)
Geometric construction of highest weight crystals for quantum generalized Kac–Moody algebras (2009) (6)
Riemann–Hilbert correspondence for irregular holonomic $${\mathscr{D}}$$D-modules (2016) (6)
Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras IV (2016) (6)
On the boundary value problem for the elliptic system of linear differential equations (1973) (6)
Dual Perfect Bases and dual perfect graphs (2014) (5)
A functional model for the tensor product of level 1 highest and level -1 lowest modules for the quantum affine algebra Uq(sT2) (2003) (5)
Monoidal categorification and quantum affine algebras II (2021) (5)
Holonomic Systems of Linear Differential Equations with Regular Singularities and Related Topics in Topology (1983) (5)
Vertex models and crystals (1992) (5)
On a topological counterpart of regularization for holonomic 𝒟-modules (2020) (5)
On Landau-Lifshitz Equation and Infinite Dimensional Groups (1985) (5)
Block decomposition for quantum affine algebras by the associated simply-laced root system (2020) (4)
Monodromy preserving deformation of ramified solutions to (Δ−m2)u = 0 (1981) (4)
Micro-local Properties of Π n j=1 f s j j+ (1975) (4)
Simply laced root systems arising from quantum affine algebras (2020) (4)
Involutivity of truncated microsupports (2002) (4)
On the codimension-three conjecture (2010) (4)
T-structures on the derived categories of D-modules and O-modules (2003) (4)
Micro-support and Cauchy problem for temperate solutions of regular $\cal D$-Modules (2000) (4)
Duality of D-modules on flag manifolds (2000) (3)
On a reconstruction theorem for holonomic systems (2012) (3)
Monodromy Structure of Solutions of Holonomic Systems of Linear Differential Equations is Invariant under the Deformation of the System (1979) (3)
On Pseudo-Differential Equations in Hyperfunction Theory (超函数と解析汎函数の理論と応用) (1972) (3)
Self-dual T-structure (2015) (3)
Seminar on micro-local analysis (AM-93) (1980) (3)
The ( q , t ) -Cartan matrix specialized at q = 1 and its applications (2023) (3)
Enhanced specialization and microlocalization (2019) (3)
Micro-local calculus (1975) (3)
Micro-local properties of $\prod\nolimits_{j = 1}^n \mathcal{f}_{j + }^{s_j }$ (1975) (3)
$t$-quantized Cartan matrix and R-matrices for cuspidal modules over quiver Hecke algebras (2023) (3)
Complex Analysis and Algebraic Geometry: Micro-Local Calculus of Simple Microfunctions (1977) (2)
MICRO-LOCAL ANALYSIS OF FEYNMAN AMPLITUDES (1980) (2)
A P ] 1 2 D ec 2 00 0 Micro-support and Cauchy problem for temperate solutions of regular D-Modules (2001) (2)
Applications of representation theory to harmonic analysis of Lie groups (and vice versa) (2008) (2)
Special Functions: Proceedings of the Hayashibara Forum 1990, Held in Fujisaki Institute, Okayama, Japan, August 16-20, 1990 (1991) (2)
Ind-Sheaves, distributions, and microlocalization (1999) (2)
SYMMETRIC CRYSTALS AND LLTA TYPE CONJECTURES FOR THE AFFINE HECKE ALGEBRAS OF TYPE B (Combinatorial Representation Theory and Related Topics) (2007) (2)
R-matrices for quantum affine algebras and Khovanov-Lauda-Rouquier algebras, I (2012) (2)
On holonomic systems for {$\Pi \spN\sb{l=1}(f\sbl+(\surd \ -1)0)\sp{łambda \sbl}$} (1979) (2)
PBW theoretic approach to the module category of quantum affine algebras (2020) (2)
Equivariant Derived Categories and Representations of Real Semisimple Lie Groups (2004) (2)
Structure of a single pseudo-differential equation in a real domain (1976) (1)
Invariant Sheaves (2000) (1)
Monoidal categorification of cluster algebras (merged version) (2018) (1)
Microlocal study of sheaves, II. Constructible sheaves (1983) (1)
Professor Mikio Sato and Microlocal Analysis (2011) (1)
Série MICRO-SUPPORT AND CAUCHY PROBLEM FOR TEMPERATE SOLUTIONS OF REGULAR D-MODULES (1)
A finiteness theorem for holonomic DQ-modules on Poisson manifolds (2020) (1)
The (q, t)-Cartan matrix specialized at $$q=1$$ q = 1 and its applications (2022) (1)
A note on quantization of complex symplectic manifolds (2010) (1)
Lectures on Regular and Irregular Holonomic D-modules (2015) (1)
Persistent homology and microlocal sheaf theory (2018) (0)
Holonomic D-modules (2016) (0)
Unbounded Derived Categories (2006) (0)
Poincaré-Verdier duality and Fourier-Sato transformation (1990) (0)
Micro-Analytic Structure of the $\textit{S}$-Matrix and Related Functions (1977) (0)
Localizations for quiver Hecke algebras II (2022) (0)
Sheaves on Grothendieck Topologies (2006) (0)
Micro-support and microlocalization (1990) (0)
Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras (2017) (0)
π-accessible Objects and F-injective Objects (2006) (0)
Generic Torelli theorem for quintic-mirror familyDedicated to Professor Phillip A. Griffiths on his seventieth birthday (2008) (0)
Stacks and Twisted Sheaves (2006) (0)
Geometric construction of highest weight crystals for quantum generalized Kac–Moody algebras (2011) (0)
On Holonomlc Systems for II (2005) (0)
Indization and Derivation of Abelian Categories (2006) (0)
ICM-90 Satellite Conference Proceedings (1991) (0)
Tempered solutions of D-modules (2016) (0)
Q A ] 9 F eb 2 00 8 Deformation quantization modules I : Finiteness and duality (2008) (0)
Vanishing theorems on the cohomologies of solution sheaves of systems of pseudo-differential equations (2019) (0)
Complexes in Abelian Categories (2006) (0)
The Language of Categories (2006) (0)
Rational quotients of two linear forms in roots of a polynomial (2018) (0)
Prehomogeneous Geometric Crystals Dedicated to Profe ssor (2018) (0)
Indsheaves on bordered spaces (2016) (0)
Enhanced nearby and vanishing cycles in dimension one and Fourier transform (2020) (0)
A Remark on Characters of Unitary Representations of Semi-Simple Lie Groups (表現論と大域解析学) (1972) (0)
Specialization and microlocalization (1990) (0)
Categorical relations between Langlands dual quantum affine algebras: doubly laced types (2018) (0)
Affinizations, R-matrices and reflection functors (2023) (0)
Perverse sheaves on C 2 without vanishing cycles at the origin along a general plane curve with singularities (2022) (0)
Generators and Representability (2006) (0)
On Holonomlc Systems for II (fi+V -10) (1979) (0)
Applications to O-modules and D-modules (1990) (0)
Symmetric Crystals for $\gl_\infty$ (2007) (0)
Poisson geometry of the moduli of local systems on smooth varieties (0)
Microlocal study of sheaves, I. Contact transformations (1983) (0)
Symmetric Crystals for gl ∞ Dedicated to Professor Heisuke Hironaka on the occasion of his seventy-seventh birthday (2008) (0)
Categorical crystals for quantum affine algebras (2021) (0)
A G ] 2 6 Fe b 20 20 ENHANCED NEARBY AND VANISHING CYCLES IN DIMENSION ONE AND FOURIER TRANSFORM (2020) (0)
Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras (2012) (0)
Thematic Year on Number Theory from Arithmetic Statistics to Zeta Elements SMS 2014 : Counting Arithmetic Objects (2014) (0)
A review on sheaves and D-modules (2016) (0)
R T ] 1 3 Ju l 2 01 3 CRYSTAL BASES FOR THE QUANTUM QUEER SUPERALGEBRA (2013) (0)
Micro-support of sheaves (1990) (0)
Title SYMMETRIC CRYSTALS AND LLTA TYPE CONJECTURES FOR THE AFFINE HECKE ALGEBRAS OF TYPE B (Combinatorial Representation Theory and Related Topics) (2019) (0)
Laplace tranform and Fourier-Sato transform (1997) (0)
Theory of Differential Equations with Regular Singularity and Eigen-Functions of Laplacian of Symmetric Spaces (超函数と線型微分方程式 III) (1975) (0)
Complexes in Additive Categories (2006) (0)
Indsheaves, temperate holomorphic functions and irregular Riemann-Hilbert correspondence (2015) (0)
Correction to: Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras (2019) (0)
Irregular holonomic kernels and Laplace transform (2015) (0)
Contact transformations and pure sheaves (1990) (0)
Indization of Categories (2006) (0)
Enhanced specialization and microlocalization (2021) (0)
The Poincar Lemma or a Variation o Polarized Hodge Structure By (2021) (0)
Micro-Hyperbolic Pseudo-Differential Operators (超函数と線型微分方程式 II) (1974) (0)
An alternative proof of the non-Archimedean Montel theorem for rational dynamics (2016) (0)
GEOMETRIC CONSTRUCTION OF CRYSTAL BASESMASAKI KASHIWARA AND (1996) (0)
Correction to: Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras (2019) (0)
2 3 Ju n 19 99 Characters of irreducible modules with non-critical highest weights over affine Lie algebras (2008) (0)
Additive and Abelian Categories (2006) (0)
Application of the microlocal theory of sheaves to the study of OX (2018) (0)
Chapter II. Microfunctions (1986) (0)
Semisimple Holonomic (2007) (0)

This paper list is powered by the following services:

Other Resources About Masaki Kashiwara

What Schools Are Affiliated With Masaki Kashiwara?

Masaki Kashiwara is affiliated with the following schools:

Image Attributions

Image Source for Masaki Kashiwara