RTCA volume in the
Springer collection TMSC:
call for
papers.
PUBLICATIONS
Detailed list /
co-authors.
Selected:
V. Neiger, C. Pernet, G. Villard. Computing Krylov iterates in the time of matrix multiplication,
ISSAC'24, Raleigh, NC, USA, 2024,
pdf/doi.
G. Villard. Bivariate polynomial reduction and elimination ideal over finite fields, Journal of Symbolic Computation, 127, 2025,
pdf/doi.
V. Neiger, B. Salvy, É. Schost, G. Villard. Faster modular
composition, Journal of the ACM, 71(2)-11, 2024,
pdf/doi.
C. Pernet, H. Signargout, G. Villard. High-order lifting for polynomial Sylvester matrices, Journal of Complexity, 2023,
pdf/doi.
C. Pernet, H. Signargout, G. Villard. Exact computations with quasiseparable matrices.
ISSAC'23, Tromsø, Norway, 2023,
pdf/doi.
G. Villard. On computing the resultant of generic bivariate polynomials.
ISSAC'18, New York, USA, 2018, pdf/doi, and
maple worksheets.
C.-P. Jeannerod, V. Neiger, É. Schost, G. Villard.
Computing minimal interpolation bases, J. of Symbolic Computation, 83:272-314, 2017,
pdf/doi.
X.-W. Chang, D. Stehlé, G. Villard.
Perturbation analysis of the QR factor R
in the context of LLL lattice basis reduction,
Mathematics of Computation, 81(279):1487-1511, 2012,
pdf/doi.
A. Novocin, D. Stehlé, G. Villard.
An LLL-reduction algorithm with quasi-linear time complexity,
STOC, San Jose, California, 2011,
pdf/doi.
E. Kaltofen, G. Villard. On the complexity of computing
determinants.
Computational Complexity, 13:91-130, 2005,
pdf/doi.
LinBox joint CNRS/NSF project LinBox Team GitHub
(linalg.org).
The Givaro page,
a C++ library for computer algebra.
Computer Algebra Seminars -
GT Calcul Formel GdR IFM
ICMS 2024,
International Congress on Mathematical Software,
Durham University, United Kingdom, 22-25 July, 2024.
MEGA 2024,
Effective Methods in Algebraic Geometry, MPI, Leipzig, Germany, 29 Jul.-2 Aug. 2024.
CASC 2024,
Computer Algebra in Scientific Computing, Rennes, 2-6 Sept. 2024.
STACS 2025,
42nd International Symposium on Theoretical Aspects of Computer Science,
Jena, Germany, 4-7 March, 2025.
International Linear Algebra Society
GdR CNRS Informatique Fondamentale et ses Mathématiques
-
GT Arithmétique
PAST
Conference archives
Teaching:
Modern algorithms for symbolic summation and
integration, M2 ENS de Lyon.
Extended precision floating-point benchmarks.
Hplll software library
home page, GitHub repository.