Pierre Schapira
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French mathematician
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Pierre Schapira mathematics Degrees
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Mathematics
Pierre Schapira 's Degrees
- PhD Mathematics Université Paris Cité
- Bachelors Mathematics Université Paris Cité
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Why Is Pierre Schapira Influential?
(Suggest an Edit or Addition)According to Wikipedia, Pierre Schapira is a French mathematician. He specializes in algebraic analysis, especially Mikio Sato's microlocal analysis, together with the mathematical concepts of sheaves and derived categories.
Pierre Schapira '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)
- Categories and Sheaves (2005) (694)
- Microdifferential Systems in the Complex Domain (1985) (170)
- Microlocal study of sheaves (1985) (106)
- Moderate and formal cohomology associated with constructible sheaves (1996) (102)
- Deformation Quantization Modules (2010) (102)
- Sheaf quantization of Hamiltonian isotopies and applications to non displaceability problems (2010) (90)
- Théorie des hyperfonctions (1970) (83)
- Micro-hyperbolic systems (1979) (82)
- Operations on constructible functions (1991) (77)
- Persistent homology and microlocal sheaf theory (2017) (77)
- Existence et prolongement des solutions holomorphes des équations aux dérivées partielles (1972) (76)
- Propagation des singularités analytiques pour les solutions des équations aux dérivées partielles (1974) (67)
- Stacks of quantization-deformation modules on complex symplectic manifolds (2003) (63)
- Tomography of Constructible Functions (1995) (53)
- D-modules, Representation Theory, and Quantum Groups (1993) (52)
- Microlocal theory of sheaves and Tamarkin's non displaceability theorem (2011) (50)
- Index theorem for elliptic pairs (1994) (45)
- Leray’s quantization of projective duality (1996) (44)
- Radon–Penrose Transform for D-Modules (1996) (44)
- Solutions Hyperfonctions Du Probleme De Cauchy (1973) (41)
- Images inverses des modules différentiels (1987) (33)
- Quantization of complex Lagrangian submanifolds (2005) (28)
- Sheaves on manifolds : with a short history "Les débuts de la théorie des faisceaux" by Christian Houzel (1990) (27)
- Regular and Irregular Holonomic D-Modules (2015) (26)
- Irregular holonomic kernels and Laplace transform (2014) (25)
- Problème de Cauchy pour les systèmes microdifférentiels dans le domaine complexe (1978) (25)
- Conditions de positivité dans une variété symplectique complexe . Applications à l'étude des microfonctions (1981) (24)
- Integral transforms with exponential kernels and Laplace transform (1997) (23)
- Microlocal study of ind-sheaves I: micro-support and regularity (2001) (22)
- Propagation at the Boundary and Reflection of Analytic Singularities of Solutions of Linear Partial Differential Equations I. (1976) (21)
- Constructibility and duality for simple holonomic modules on complex symplectic manifolds (2005) (20)
- A lemma for microlocal sheaf theory in the ∞-categorical setting (2016) (17)
- Propagation au bord et réflexion des singularités analytiques des solutions des équations aux dérivées partielles (1976) (17)
- Deformation quantization modules I:Finiteness and duality (2008) (16)
- A vanishing theorem for a class of systems with simple characteristics (1985) (15)
- Regular holonomic D[[ℏ]]-modules (2009) (15)
- Décomposition microlocale analytique des distributions (1978) (14)
- Construction of sheaves on the subanalytic site (2012) (14)
- Elliptic pairs I. Relative finiteness and duality (1998) (14)
- Cycles lagrangiens, fonctions constructibles et applications (1989) (13)
- Valeurs au bord des fonctions holomorphes (1970) (13)
- Piecewise Linear Sheaves (2018) (12)
- Microfunctions for Boundary Value Problems (1988) (11)
- Microlocal pseudoconvexity and “edge of the wedge” theorem (1990) (11)
- Propagation at the Boundary of Analytic Singularities (1981) (11)
- Solutions hyperfonctions des équations aux dérivées partielles du premier ordre (1969) (11)
- Modules Over Deformation Quantization Algebroids: An Overview (2009) (10)
- Application of the microlocal theory of sheaves to the study of ${\mathcal {O}}_X$ (1985) (10)
- Deformation quantization modules II. Hochschild class (2008) (10)
- DEFORMATION BINORMALE ET BISPECIALISATION (1994) (10)
- LA TRANSFORMEE DE RADON-PENROSE DES D-MODULES (1994) (9)
- Constructible functions, Lagrangian cycles and computational geometry (1993) (9)
- Microlocalization of ind-sheaves (2004) (9)
- Hyperbolic Systems and Propagation on Causal Manifolds (2013) (8)
- QUANTIFICATION DE LERAY DE LA DUALITE PROJECTIVE (1994) (8)
- A Lemma for Microlocal Sheaf Theory in the $\infty$-Categorical Setting (2016) (8)
- Hyperfonctions et problèmes aux limites elliptiques (1971) (8)
- An Algebra of Deformation Quantization for Star-Exponentials on Complex Symplectic Manifolds (2006) (8)
- Équations aux dérivées partielles dans l’espace des hyperfonctions (1968) (7)
- The Radon–Penrose Correspondence II: Line Bundles and Simple D-Modules☆ (1998) (7)
- An inverse image theorem for sheaves with applications to the Cauchy problem (1991) (7)
- Microlocal Euler classes and Hochschild homology (2012) (7)
- Wick Rotation for D-modules (2017) (6)
- Elliptic pairs II. Euler class and relative index theorem (1998) (6)
- Derived category of filtered objects (2013) (6)
- Categories and Homological Algebra (2011) (6)
- Truncated microsupport and holomorphic solutions of D -modules (2002) (6)
- On Twisted Microdifferential Modules I. Non-existence of Twisted Wave Equations † (2004) (5)
- Sheaves on Manifolds : With a Short History. {laquo}Les débuts de la théorie des faisceaux{raquo}. By Christian Houzel (1990) (5)
- Vanishing in highest degree for solutions of D -modules and perverse sheaves (1990) (5)
- Prolongement et Existence des Solutions des Systemes Hyperboliques Non-Stricts a Coefficients Analytiques (超函数と解析汎函数の理論と応用) (1972) (5)
- A vanishing theorem for Holonomic modules with positive characteristic varieties (1990) (5)
- Constructible sheaves and functions up to infinity (2020) (5)
- Morse inequalities for R-constructible sheaves (1992) (5)
- Deformation quantization modules on complex symplectic manifolds (2007) (4)
- GLOBAL PROPAGATION ON CAUSAL MANIFOLDS (1999) (4)
- Thickening of the diagonal and interleaving distance (2020) (4)
- Micro-support and Cauchy problem for temperate solutions of regular $\cal D$-Modules (2000) (4)
- Sur les ultra-distributions (1968) (4)
- Sheaves and D-Modules on Lorentzian Manifolds (2015) (4)
- A short review on microlocal sheaf theory (2016) (4)
- Microfunctions at the Boundary and Mild Microfunctions (1988) (4)
- Involutivity of truncated microsupports (2002) (4)
- Three lectures on Algebraic Microlocal Analysis (2012) (3)
- A property of the interleaving distance for sheaves (2021) (3)
- Mikio Sato , a Visionary of Mathematics (2006) (3)
- Regular holonomic $\mathscr{D}{[\mspace{-1mu}[\hbar]\mspace{-1mu}]}$-modules (2011) (3)
- Triangulated Categories: Triangulated categories for the analysts (2010) (3)
- Thickening of the diagonal, interleaving distance and Fourier-Sato transform (2020) (3)
- Application de la théorie des microfonctions holomorphes au problème de Cauchy à données singulières (1976) (3)
- Sheaves on manifolds : with a short history by Christian Houzel (1990) (3)
- Probleme de Cauchy pour les systems d'equations differentielles et microdifferentielles dans le domaine complexe (1977) (2)
- SHEAVES : FROM LERAY TO GROTHENDIECK AND SATO by Pierre Schapira (2004) (2)
- SHEAVES : FROM LERAY TO GROTHENDIECK AND SATO by Pierre Schapira (2004) (2)
- A P ] 1 2 D ec 2 00 0 Micro-support and Cauchy problem for temperate solutions of regular D-Modules (2001) (2)
- Vanishing of temperate cohomology on complex manifolds (2020) (2)
- Kernel calculus and extension of contact transformations to D-modules (1997) (2)
- Conditions de positivité dans une variété symplectique complexe. Applications à l'étude de l'hypoellipticité analytique (1979) (2)
- Defense of the conceptual (1997) (2)
- Variété caractéristique de la restriction d'un module différentiel (1981) (2)
- Masaki Kashiwara and Algebraic Analysis (2008) (2)
- PAIRES ELLIPTIQUES. II, CLASSE D'EULER ET INDICE (1991) (2)
- Ind-Sheaves, distributions, and microlocalization (1999) (2)
- Subanalytic topologies I. Construction of sheaves (2012) (2)
- THE STOKES STRUCTURE OF A GOOD MEROMORPHIC FLAT BUNDLE (2011) (1)
- L’Éloge des mathématiques d’Alain Badiou (2017) (1)
- A finiteness theorem for holonomic DQ-modules on Poisson manifolds (2020) (1)
- Lectures on Regular and Irregular Holonomic D-modules (2015) (1)
- Utilisation des hyperfonctions dans les théorèmes de dualité de la géométrie analytique (1971) (1)
- Construction de solutions élémentaires dans le faisceau $C$ de M. Sato (1971) (1)
- Série MICRO-SUPPORT AND CAUCHY PROBLEM FOR TEMPERATE SOLUTIONS OF REGULAR D-MODULES (1)
- Microlocal Analysis and Beyond (2017) (1)
- Microlocal study of sheaves, II. Constructible sheaves (1983) (1)
- Correspondance de $D$-modules et transformation de Penrose (1993) (1)
- Finiteness and duality on complex symplectic manifolds (2006) (1)
- Un manuscrit tronqué (2022) (0)
- Additive and Abelian Categories (2006) (0)
- Persistent homology and microlocal sheaf theory (2018) (0)
- Microfunctions for boundary values problems(Developments of Algebraic Analysis) (1988) (0)
- FIFTY YEARS OF MATHEMATICS WITH MASAKI KASHIWARA (2018) (0)
- Direct images of elliptic pairs and microlocalization (1994) (0)
- Categories and homological algebra An introduction to derived categories (2015) (0)
- Stacks and Twisted Sheaves (2006) (0)
- A G ] 3 J un 2 00 5 Quantization of complex Lagrangian submanifolds (2008) (0)
- Hochschild homology and microlocal Euler classes (2005) (0)
- Morse Inequalities for R-constructible Sheaves(Microlocal Analysis of Differential Equations) (1991) (0)
- Micro-support and microlocalization (1990) (0)
- Q A ] 9 F eb 2 00 8 Deformation quantization modules I : Finiteness and duality (2008) (0)
- Microlocal study of sheaves, I. Contact transformations (1983) (0)
- Generators and Representability (2006) (0)
- A Truncated Manuscript (2022) (0)
- BOUNDARY VALUES , FOURIER – SATO TRANSFORM AND LAPLACE TRANSFORM (0)
- Applications to O-modules and D-modules (1990) (0)
- Specialization and microlocalization (1990) (0)
- Indsheaves, temperate holomorphic functions and irregular Riemann-Hilbert correspondence (2015) (0)
- Indization and Derivation of Abelian Categories (2006) (0)
- Constructible sheaves, Whitney functions and Schwartz's distributions (1995) (0)
- On the ramified Cauchy problem (1993) (0)
- An introduction to D-modules (2017) (0)
- Errata (1973) (0)
- Contact transformations and pure sheaves (1990) (0)
- Indization of Categories (2006) (0)
- Irregular holonomic kernels and Laplace transform (2015) (0)
- Complexes in Additive Categories (2006) (0)
- Laplace tranform and Fourier-Sato transform (1997) (0)
- A G ] 6 J un 2 01 3 Derived category of filtered objects (2013) (0)
- Micro-support of sheaves (1990) (0)
- Hyperbolic Systems and Propagation on Causal Manifolds (2013) (0)
- ANDREA D’AGNOLO AND PIERRE SCHAPIRA (1999) (0)
- Cauchy Problem and Propagation (1985) (0)
- Unusual functorialities for weakly constructible sheaves (2023) (0)
- Sheaf Theory for Partial Differential Equations (2018) (0)
- An introduction to Algebra and Topology (2012) (0)
- Microlocal study of constructible sheaves (1989) (0)
- Microlocal sheaf theory with applications to symplectic topology (2014) (0)
- Indsheaves on bordered spaces (2016) (0)
- Book Review: Hyperfunctions on hypo-analytic manifolds (1996) (0)
- Correspondence for $\mathcal D$-modules and Penrose transform (1994) (0)
- The Language of Categories (2006) (0)
- Tempered solutions of D-modules (2016) (0)
- Study of Sheaves of Solutions of Microdifferential Systems (1986) (0)
- Modern Interactions between Algebra, Geometry and Physics Workshop (2016) (0)
- Wick Rotation for D-modules (2017) (0)
- PROPAGATION OF ANALYTIC SINGULARITIES UP TO NON SMOOTH BOUNDARIES(Microlocal Analysis of Differential Equations) (1991) (0)
- π-accessible Objects and F-injective Objects (2006) (0)
- Microlocal theory of sheaves in symplectic topology (2014) (0)
- Propagation of analytic singularities up to non smooth boundary (1987) (0)
- NON EXISTENCE OF TWISTED WAVE EQUATIONS (Recent Trends in Microlocal Analysis) (2005) (0)
- Unbounded Derived Categories (2006) (0)
- Holonomic D-modules (2016) (0)
- Euler classes for elliptic pairs (1993) (0)
- Sheaves on Grothendieck Topologies (2006) (0)
- INVOLUTIVITY OF TRUNCATED MICROSUPPORTS by Masaki Kashiwara , Térésa Monteiro Fernandes & (2003) (0)
- Poincaré-Verdier duality and Fourier-Sato transformation (1990) (0)
- Sheaves for analysis: an overview (Microlocal Analysis and Singular Perturbation Theory) (2017) (0)
- Sheaves and D-Modules on Lorentzian Manifolds (2016) (0)
- D-Modules and Microlocal Geometry: Proceedings of the International Conference on D-Modules and Microlocal Geometry held at the University of Lisbon (Portugal), October 29-November 2, 1990 (1993) (0)
- FOUNDATIONS OF ALGEBRAIC ANALYSIS (1988) (0)
- Complexes in Abelian Categories (2006) (0)
- Recent results on the Index Theorem (Complex Analysis and Microlocal Analysis) (1999) (0)
- Index theorems for R-constructible sheaves and for D-modules (1993) (0)
- A review on sheaves and D-modules (2016) (0)
- INDEX THEOREM FOR ELLIPTIC PAIRS(Microlocal Geometry) (1993) (0)
- Ind-sheaves (Microlocal Analysis and PDE in the Complex Domain) (2000) (0)
- Application of the microlocal theory of sheaves to the study of OX (2018) (0)
- Le faisceau C de M. sato (1974) (0)
- Séminaire Équations aux dérivées partielles – École Polytechnique (2008) (0)
- Palestinian scientists are already restricted (2002) (0)
- Systèmes micro-hyperboliques (1977) (0)
- L’Éloge des mathématiques d’Alain Badiou: Ou le fantasme d’une théorie absolue (2017) (0)
- Hyperfonctions et valeurs au bord des solutions des équations elliptiques (1970) (0)
- Pages préliminaires (2019) (0)
- Finitude et classes caractéristiques pour les $D$-modules et les faisceaux constructibles (1990) (0)
- Cohomologie des faisceaux (1970) (0)
- A G ] 2 J un 2 01 9 Piecewise linear sheaves (2019) (0)
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