Luc Illusie

Luc Illusie's AcademicInfluence.com Rankings

Luc Illusie

Mathematics

#254

World Rank

#552

Historical Rank

Algebraic Geometry

#15

World Rank

#16

Historical Rank

Measure Theory

#2508

World Rank

#3013

Historical Rank

mathematics Degrees

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Mathematics

Why Is Luc Illusie Influential?

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According to Wikipedia, Luc Illusie is a French mathematician, specializing in algebraic geometry. His most important work concerns the theory of the cotangent complex and deformations, crystalline cohomology and the De Rham–Witt complex, and logarithmic geometry. In 2012, he was awarded the Émile Picard Medal of the French Academy of Sciences.

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Luc Illusie'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

Séminaire de Géométrie Algébrique du Bois-Marie 1965–66 SGA 5 (1977) (860)
Complexe de de Rham-Witt et cohomologie cristalline (1979) (632)
Th'eorie des intersections et th'eor`eme de Riemann-Roch (1971) (445)
Complexe cotangent et déformations II (1971) (439)
Relèvements modulop2 et décomposition du complexe de de Rham (1987) (423)
Travaux de Gabber sur l'uniformisation locale et la cohomologie étale des schémas quasi-excellents. Séminaire à l'École polytechnique 2006-2008 (2012) (148)
Relèvement des Surfaces K3 en Caractéristique Nulle (1981) (133)
Les suites spectrales associées au complexe de de Rham-Witt (1983) (133)
Grothendieck’s existence theorem in formal geometry (2006) (94)
Odds and Ends on Finite Group Actions and Traces (2010) (84)
An overview of the work of K. Fujiwara, K. Kato, and C. Nakayama on logarithmic étale cohomology (2002) (73)
Quasi-unipotent logarithmic Riemann-Hilbert correspondences (2005) (59)
Logarithmic Spaces (According to K. Kato) (1994) (56)
Réduction semi-stable et décomposition de complexes de de Rham à coefficients (1990) (54)
Miscellany on traces in ℓ-adic cohomology: a survey (2006) (51)
Existence de Résolutions Globales (1971) (50)
Cristaux ordinaires et coordonnées canoniques (1981) (47)
Finiteness, duality, and Künneth theorems in the cohomology of the De Rham Witt complex (1983) (37)
The Grothendieck Festschrift : A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck (2007) (34)
Ordinarité des intersections complètes générates (2007) (31)
Cotangent complex and deformations of torsors and group schemes (1972) (29)
Cohomologie de de Rham et cohomologie étale p-adique [d'après G. Faltings, J.-M. Fontaine et al.] (1990) (29)
D eformation de groupes de Barsotti-Tate (1985) (28)
Géneralites sur les Conditions de Finitude dans les Catégories Derivées (1971) (24)
Perversité et variation (2003) (24)
Around the Thom–Sebastiani theorem, with an appendix by Weizhe Zheng (2017) (23)
On log flat descent (2013) (17)
Introduction to Hodge Theory (2002) (16)
Conditions de Finitude Relatives (1971) (14)
Quotient stacks and equivariant étale cohomology algebras: Quillen’s theory revisited (2013) (13)
Réalisation l-adique de l'accouplement de monodromie d'après A. Grothendieck (1991) (11)
Surfaces algébriques : Séminaire de géometrie algébrique d'Orsay, 1976-78 (1981) (11)
From Pierre Deligne’s secret garden: looking back at some of his letters (2015) (10)
The Grothendieck Festschrift Volume III (1990) (10)
Contractibilité du groupe linéaire des espaces de Hilbert de dimension infinie (1966) (8)
On semistable reduction and the calculation of nearby cycles (2004) (8)
Miscellany on traces in ℓ-adic cohomology: a survey (2006) (7)
Vanishing cycles over general bases after P. Deligne, O. Gabber, G. Laumon and F. Orgogozo(Algebraic Number Theory and Related Topics) (2006) (6)
Around the Thom-Sebastiani theorem (2016) (6)
Sommes exponentielles : cours à Orsay, automne 1979 (1980) (5)
Travaux de Quillen sur la cohomologie des groupes (1973) (5)
Erratum to "Quasi-unipotent Logarithmic Riemann-Hilbert Correspondences" (2007) (4)
Hilbert schemes of points (2006) (3)
Nombres de Chern et groupes finis (1968) (3)
Elementary deformation theory (2006) (3)
Calculs de termes locaux (1977) (3)
Groupes de Grothendieck des Topos Anneles (1971) (2)
Around the Poincaré Lemma, After Beilinson (2015) (2)
Grothendieck at Pisa: crystals and Barsotti-Tate groups (2015) (2)
A new approach to de Rham–Witt complexes, after Bhatt, Lurie, and Mathew (2021) (2)
La descente galoisienne... (2009) (2)
Jean-Marc Fontaine (2019) (1)
Complexe Cotangent Et Extensions Infinitesimales (1971) (1)
Partial degeneration of Hodge to de Rham spectral sequences and Kodaira type vanishing theorems for locally complete intersections in positive characteristic (2020) (1)
Constructibilité générique et uniformité en ℓ (2022) (1)
Grothendieck and vanishing cycles (2021) (1)
Complexe Cotangent : Definition Et Premieres Proprietes (1971) (1)
Logarithmic Kummer étale sites and Hodge degeneration (1)
Pre-notes for Sapporo seminar, March 2011 De Rham-Witt complexes and p-adic Hodge theory (2018) (1)
From Pierre Deligne’s secret garden: looking back at some of his letters (2015) (0)
Pierre Deligne: A Poet of Arithmetic Geometry (2019) (0)
Perfectoid Spaces and their Applications (2014) (0)
Jean-Marc Fontaine (1944–2019) (2020) (0)
Memorial Tribute: Michel Raynaud 1938–2018 (2019) (0)
Errata and Addenda to “Odds and Ends on Finite Group Actions and Traces” (2014) (0)
Categories Formelles, Complexes De De Rham Et Cohomologie Cristalline (1972) (0)
Classes De Chern Des Complexes Parfaits (1971) (0)
Pierre Deligne et la géometrie arithmétique (2014) (0)
Caractère de Chern. Classe de Todd (1964) (0)
Vanishing cycles over general bases after P. Deligne, O. Gabber, G. Laumon and F. Orgogozo (代数的整数論とその周辺 RIMS研究集会報告集) (2006) (0)
Advanced School in Basic Algebraic Geometry (2005) (0)
De la formule d'Atiyah-Singer aux complexes parfaits, souvenirs du séminaire Cartan-Schwartz (2004) (0)
Compléments de K-théorie (1963) (0)
Michel Raynaud, 1938–2018 (2019) (0)
Around the Thom–Sebastiani theorem, with an appendix by Weizhe Zheng (2016) (0)
Algebraic Geometry 2000, Azumino – Program and Acknowledgement (2002) (0)
Cohomologie De Diagrammes (1972) (0)
Around the Poincaré Lemma, After Beilinson (2015) (0)
Algebre Homotopique Relative (1971) (0)
Deformations Equivariantes De G-schemas Et Deformations De Schemas En Groupes (1972) (0)
Deformations De Modules (1971) (0)

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