Publications

Note: the links below are to research reports on a web archive and correspond to long versions of the papers.

Deterministic pushdown automata can compress some normal sequences

With Olivier Carton
Logical Methods in Computer Science (to appear)
Article here.

Cyclotomic Identity Testing and Applications

With Nikhil Balaji, Mahsa Shirmohammadi and James Worrell
International Symposium on Symbolic and Algebraic Computation (ISSAC'21), 2021
Article here.

Non-commutative computations: lower bounds and polynomial identity testing

With Guillaume Lagarde and Guillaume Malod
In Chicago Journal on Theoretical Computer Science, 2019
Article here.

Lempel-Ziv: a "one-bit catastrophe" but not a tragedy

With Guillaume Lagarde
ACM-SIAM Symposium on Discrete Algorithms (SODA'18), 2018
Article here.

On fixed-polynomial size circuit lower bounds for uniform polynomials in the sense of Valiant

With Hervé Fournier and Rémi de Verclos
In Information and Computation, volume 240, 2015
(Conference version in Mathematical Foundations of Computer Science (MFCS'13), volume 8087 of LNCS, pages 433-444)
Article here.

Separating multilinear branching programs and formulas

With Zeev Dvir, Guillaume Malod and Amir Yehudayoff
Proceedings of the 44th ACM Symposium on Theory of Computing (STOC'12), pages 615-624, 2012
Article here.

Interpolation in Valiant's theory

With Pascal Koiran
In Computational Complexity, volume 20, number 1, pages 1-20, 2011
Article here.

Polylog Space Compression, Pushdown Compression, and Lempel-Ziv Are Incomparable

With Elvira Mayordomo and Philippe Moser
In Theory of Computing Systems, volume 48, pages 731-766, 2011
Article here.

VPSPACE and a transfer theorem over the reals

With Pascal Koiran
In Computational Complexity, volume 18, number 4, pages 551-575, 2009
(Conference version in Symposium on Theoretical Aspects of Computer Science (STACS'07), volume 4393 of LNCS, pages 417-428)
Article here.

A superpolynomial lower bound on the size of uniform non-constant-depth threshold circuits for the permanent

With Pascal Koiran
IEEE Conference on Computational Complexity, pages 35-40, 2009
Article here.

VPSPACE and a transfer theorem over the complex field

With Pascal Koiran
In Theoretical Computer Science volume 410, number 50, pages 5244-5251, 2009
(Conference version in Mathematical Foundations of Computer Science (MFCS'07), volume 4708 of LNCS, pages 359-370)
Article here.

On the construction of a family of transversal subspaces over finite fields

With Alexander Chistov, Hervé Fournier, Pascal Koiran
In Linear Algebra and its Applications, volume 429(2-3), pages 589-600, 2008
Article here.

Finding a vector orthogonal to roughly half a collection of vectors

With Pierre Charbit, Emmanuel Jeandel, Pascal Koiran and Stéphan Thomassé
In Journal of complexity, volume 24(1), pages 39-53, 2008
Article here.

Pushdown compression

With Pilar Albert, Elvira Mayordomo, Philippe Moser
Proceedings of the 25th Annual Symposium on the Theoretical Aspects of Computer Science (STACS 2008), pages 39-48, 2008
Article here.

The complexity of two problems on arithmetic circuits

With Pascal Koiran
In Theoretical Computer Science, volume 389, pages 172-181, 2007
Article here.

Symmetry of information and nonuniform lower bounds

Computer Science in Russia (CSR 2007), volume 4649 of LNCS, pages 315-327, 2007
Article here.

Valiant's model: from exponential sums to exponential products

With Pascal Koiran
Mathematical Foundations of Computer Science (MFCS 2006), volume 4162 of LNCS, pages 596-607, 2006
Article here.

PhD Thesis (in French)

Problèmes de décision et d'évaluation en complexité algébrique
Thèse soutenue le 6 décembre 2007 à l'ENS Lyon, encadrée par Pascal Koiran
Manuscrit de thèse en pdf.