Gilles Villard

1.8k total citations
44 papers, 605 citations indexed

About

Gilles Villard is a scholar working on Computational Theory and Mathematics, Artificial Intelligence and Electrical and Electronic Engineering. According to data from OpenAlex, Gilles Villard has authored 44 papers receiving a total of 605 indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Computational Theory and Mathematics, 19 papers in Artificial Intelligence and 11 papers in Electrical and Electronic Engineering. Recurrent topics in Gilles Villard's work include Polynomial and algebraic computation (24 papers), Matrix Theory and Algorithms (16 papers) and Coding theory and cryptography (15 papers). Gilles Villard is often cited by papers focused on Polynomial and algebraic computation (24 papers), Matrix Theory and Algorithms (16 papers) and Coding theory and cryptography (15 papers). Gilles Villard collaborates with scholars based in France, Canada and United States. Gilles Villard's co-authors include Erich Kaltofen, Wayne Eberly, Alain Darte, Robert Schreiber, B. David Saunders, Bernhard Beckermann, George Labahn, Mark Giesbrecht, Damien Stehlé and Claude-Pierre Jeannerod and has published in prestigious journals such as IEEE Transactions on Information Theory, Mathematics of Computation and Journal of the ACM.

In The Last Decade

Gilles Villard

40 papers receiving 544 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Gilles Villard France 16 409 242 105 94 84 44 605
Richard Zippel United States 13 360 0.9× 257 1.1× 61 0.6× 133 1.4× 26 0.3× 28 614
Arne Storjohann Canada 14 492 1.2× 290 1.2× 151 1.4× 39 0.4× 17 0.2× 53 631
François Le Gall Japan 8 296 0.7× 317 1.3× 62 0.6× 105 1.1× 38 0.5× 35 573
Neeraj Kayal India 12 487 1.2× 446 1.8× 63 0.6× 65 0.7× 16 0.2× 44 710
Shachar Lovett United States 15 353 0.9× 402 1.7× 125 1.2× 119 1.3× 17 0.2× 103 680
Ravi B. Boppana United States 13 744 1.8× 532 2.2× 117 1.1× 216 2.3× 40 0.5× 26 1.1k
Olga Holtz United States 13 264 0.6× 115 0.5× 70 0.7× 225 2.4× 253 3.0× 30 577
B. David Saunders United States 13 320 0.8× 134 0.6× 78 0.7× 26 0.3× 16 0.2× 42 418
Barry Trager United States 12 629 1.5× 244 1.0× 59 0.6× 55 0.6× 29 0.3× 33 887
Martin Fürer United States 13 473 1.2× 294 1.2× 108 1.0× 201 2.1× 17 0.2× 38 744

Countries citing papers authored by Gilles Villard

Since Specialization
Citations

This map shows the geographic impact of Gilles Villard'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 Gilles Villard with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gilles Villard more than expected).

Fields of papers citing papers by Gilles Villard

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gilles Villard. 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 Gilles Villard. The network helps show where Gilles Villard may publish in the future.

Co-authorship network of co-authors of Gilles Villard

This figure shows the co-authorship network connecting the top 25 collaborators of Gilles Villard. A scholar is included among the top collaborators of Gilles Villard 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 Gilles Villard. Gilles Villard 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.
Salvy, Bruno, et al.. (2023). Faster Modular Composition. Journal of the ACM. 71(2). 1–79.
2.
Pernet, Clément, et al.. (2023). High-order lifting for polynomial Sylvester matrices. Journal of Complexity. 80. 101803–101803.
3.
Jeannerod, Claude-Pierre, et al.. (2015). Faster Algorithms for Multivariate Interpolation With Multiplicities and Simultaneous Polynomial Approximations. IEEE Transactions on Information Theory. 61(5). 2370–2387. 15 indexed citations
4.
Chang, Xiao-Wen, Damien Stehlé, & Gilles Villard. (2012). Perturbation Analysis of the QR factor R in the context of LLL lattice basis reduction. Mathematics of Computation. 81(279). 1487–1511. 9 indexed citations
5.
Stehlé, Damien, et al.. (2009). From an LLL-reduced basis to another. ACM communications in computer algebra. 42(3). 142–143. 3 indexed citations
6.
Beckermann, Bernhard, George Labahn, & Gilles Villard. (2006). Normal forms for general polynomial matrices. Journal of Symbolic Computation. 41(6). 708–737. 24 indexed citations
7.
Jeannerod, Claude-Pierre & Gilles Villard. (2004). Essentially optimal computation of the inverse of generic polynomial matrices. Journal of Complexity. 21(1). 72–86. 16 indexed citations
8.
Koiran, Pascal, Natacha Portier, & Gilles Villard. (2003). A rank theorem for Vandermonde matrices. Linear Algebra and its Applications. 378. 99–107. 6 indexed citations
9.
Kaltofen, Erich & Gilles Villard. (2003). Computing the sign or the value of the determinant of an integer matrix, a complexity survey. Journal of Computational and Applied Mathematics. 162(1). 133–146. 21 indexed citations
10.
Eberly, Wayne, Mark Giesbrecht, & Gilles Villard. (2002). On computing the determinant and Smith form of an integer matrix. 675–685. 36 indexed citations
11.
Li, Chen, et al.. (2002). Efficient matrix preconditioners for black box linear algebra. Linear Algebra and its Applications. 343-344. 119–146. 35 indexed citations
12.
Kaltofen, Erich & Gilles Villard. (2001). Proceedings of the 2001 international symposium on Symbolic and algebraic computation. 2 indexed citations
13.
Dumas, Jean‐Guillaume, B. David Saunders, & Gilles Villard. (2001). On Efficient Sparse Integer Matrix Smith Normal Form Computations. Journal of Symbolic Computation. 32(1-2). 71–99. 32 indexed citations
14.
Villard, Gilles. (2000). Processor Efficient Parallel Solution of Linear Systems of Equations. Journal of Algorithms. 35(1). 122–126. 2 indexed citations
15.
Beckermann, Bernhard, George Labahn, & Gilles Villard. (1999). Shifted normal forms of polynomial matrices. 189–196. 26 indexed citations
16.
Roch, Jean-Louis & Gilles Villard. (1996). FAST PARALLEL COMPUTATION OF THE JORDAN NORMAL FORM OF MATRICES. Parallel Processing Letters. 6(2). 203–212. 5 indexed citations
17.
Villard, Gilles. (1996). Computing Popov and Hermite forms of polynomial matrices. 250–258. 21 indexed citations
18.
Villard, Gilles. (1995). Generalized Subresultants for Computing the Smith Normal Form of Polynomial Matrices. Journal of Symbolic Computation. 20(3). 269–286. 17 indexed citations
19.
Villard, Gilles, et al.. (1995). An algorithm for the reduction of linear DAE. 223–231. 10 indexed citations
20.
Villard, Gilles. (1992). Parallel lattice basis reduction. 269–277. 16 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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