Luc Illusie

3.7k total citations
38 papers, 1.6k citations indexed

About

Luc Illusie is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Luc Illusie has authored 38 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Geometry and Topology, 15 papers in Mathematical Physics and 9 papers in Algebra and Number Theory. Recurrent topics in Luc Illusie's work include Algebraic Geometry and Number Theory (17 papers), Advanced Algebra and Geometry (6 papers) and Homotopy and Cohomology in Algebraic Topology (6 papers). Luc Illusie is often cited by papers focused on Algebraic Geometry and Number Theory (17 papers), Advanced Algebra and Geometry (6 papers) and Homotopy and Cohomology in Algebraic Topology (6 papers). Luc Illusie collaborates with scholars based in France, United States and Germany. Luc Illusie's co-authors include Pierre Deligne, Steven L. Kleiman, M. Raynaud, Alexandre Grothendieck, Pierre Berthelot, Michel Raynaud, Nitin Nitsure, Lothar Göttsche, Barbara Fantechi and Angelo Vistoli and has published in prestigious journals such as Lecture notes in mathematics, Inventiones mathematicae and Publications mathématiques de l IHÉS.

In The Last Decade

Luc Illusie

37 papers receiving 1.4k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Luc Illusie France 14 1.4k 1.2k 494 227 99 38 1.6k
Michel Raynaud France 14 1.6k 1.1× 966 0.8× 666 1.3× 273 1.2× 46 0.5× 26 1.7k
Siegfried Bosch Germany 16 1.7k 1.2× 1.3k 1.1× 396 0.8× 324 1.4× 48 0.5× 39 1.8k
Brian Conrad United States 17 1.0k 0.7× 809 0.7× 409 0.8× 124 0.5× 61 0.6× 40 1.2k
Andrei Suslin United States 25 1.9k 1.4× 1.6k 1.4× 991 2.0× 188 0.8× 82 0.8× 61 2.3k
H. Matsumura Japan 6 1.9k 1.3× 704 0.6× 1.5k 3.0× 585 2.6× 55 0.6× 14 2.3k
J. S. Milne United States 15 1.2k 0.8× 937 0.8× 399 0.8× 193 0.9× 79 0.8× 52 1.3k
R. E. Stong United States 17 791 0.6× 701 0.6× 241 0.5× 172 0.8× 28 0.3× 73 1.2k
Daniel M. Kan United States 12 1.4k 1.0× 1.5k 1.3× 827 1.7× 200 0.9× 50 0.5× 24 1.7k
Герд Фалтингс Germany 19 1.9k 1.4× 1.3k 1.1× 698 1.4× 379 1.7× 80 0.8× 54 2.1k
Charles A. Weibel United States 17 2.4k 1.7× 2.0k 1.7× 1.4k 2.8× 245 1.1× 36 0.4× 82 2.7k

Countries citing papers authored by Luc Illusie

Since Specialization
Citations

This map shows the geographic impact of Luc Illusie's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Luc Illusie with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Luc Illusie more than expected).

Fields of papers citing papers by Luc Illusie

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Luc Illusie. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Luc Illusie. The network helps show where Luc Illusie may publish in the future.

Co-authorship network of co-authors of Luc Illusie

This figure shows the co-authorship network connecting the top 25 collaborators of Luc Illusie. A scholar is included among the top collaborators of Luc Illusie based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Luc Illusie. Luc Illusie is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Illusie, Luc. (2019). Jean-Marc Fontaine. 14–14. 1 indexed citations
2.
Illusie, Luc, et al.. (2018). Cohomologies $p$-adiques et applications arithmétiques (III). Astérisque. 5 indexed citations
4.
Cartier, Pierre, Nicholas M. Katz, Yuri I. Manin, et al.. (2007). The Grothendieck Festschrift. 53 indexed citations
5.
Cartier, Pierre, Luc Illusie, Nicholas M. Katz, et al.. (2007). The Grothendieck Festschrift : A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck. Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)). 2 indexed citations
6.
Illusie, Luc. (2007). Miscellany on traces in ℓ-adic cohomology: a survey. Japanese journal of mathematics. 2(2). 313–314. 12 indexed citations
7.
Fantechi, Barbara, Lothar Göttsche, Luc Illusie, et al.. (2006). Fundamental Algebraic Geometry. Mathematical surveys and monographs. 165 indexed citations
8.
Illusie, Luc. (2006). 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). 数理解析研究所講究録. 1521(1521). 35–53. 1 indexed citations
9.
Illusie, Luc, Kazuya Katô, & Chikara Nakayama. (2005). Quasi-unipotent logarithmic Riemann-Hilbert correspondences. Journal of mathematical sciences. 12(1). 1–66. 29 indexed citations
10.
Illusie, Luc. (2002). An overview of the work of K. Fujiwara, K. Kato, and C. Nakayama on logarithmic étale cohomology. French digital mathematics library (Numdam). 7 indexed citations
11.
Demailly, Jean-Pierre, et al.. (2002). Introduction to Hodge Theory. CERN Document Server (European Organization for Nuclear Research). 14 indexed citations
12.
Illusie, Luc. (1990). Cohomologie de De Rham et cohomologie étale $p$-adique. French digital mathematics library (Numdam). 32. 325–374. 7 indexed citations
13.
Giraud, Jean, et al.. (1981). Surfaces algébriques : Séminaire de géometrie algébrique d'Orsay, 1976-78. Springer eBooks. 2 indexed citations
14.
Giraud, Jean, Luc Illusie, & Michel Raynaud. (1981). Surfaces Algébriques. Lecture notes in mathematics. 2 indexed citations
15.
Illusie, Luc. (1972). Complexe Cotangent et Déformations II. Lecture notes in mathematics. 66 indexed citations
16.
Berthelot, Pierre, et al.. (1971). Théorie des Intersections et Théorème de Riemann-Roch. Lecture notes in mathematics. 246 indexed citations
17.
Illusie, Luc. (1968). Nombres de Chern et groupes finis. Topology. 7(3). 255–269. 2 indexed citations
18.
Illusie, Luc. (1966). Contractibilité du groupe linéaire des espaces de Hilbert de dimension infinie. French digital mathematics library (Numdam). 9. 105–113. 3 indexed citations
19.
Illusie, Luc. (1964). Caractère de Chern. Classe de Todd. French digital mathematics library (Numdam). 16(1). 1–9. 1 indexed citations
20.
Illusie, Luc. (1963). Compléments de K-théorie. French digital mathematics library (Numdam). 16(1). 1–10. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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