Publications and preprints
My Research interests are
- Moduli spaces,
- Ergodic theory,
- Teichmueller dynamics,
- Billiards,
- Pseudo-Anosov diffeomorphisms,
- Geometry,
- Self-similarity.
Most of my publications are also available on
aXiV with a short
abstract .
Trace field degrees in the Torelli group,
(with Livio Liechti),
Preprint submitted (2024), 22 pages |
pdf.
Minimal stretch factors of orientation-reversing fully-punctured pseudo-Anosov maps,
(with Livio Liechti and Chi Cheuk Tsang),
Preprint submitted (2024), 27 pages |
pdf.
Diffusion rate in non generic directions in the wind-tree model,
(with S. Crovisier, P. Hubert and A. Pardo),
Preprint submitted (2023), 26 pages |
pdf.
Algebraic intersection for a family of Veech surfaces,
(with J. Boulanger and D. Massart),
accepted for publication in Annales Henri Lebesgue (2024), 29 pages |
pdf.
Trace field degrees of Abelian differentials,
(with L. Liechti),
accepted for publication in Comment. Math. Helv. (2023), 23 pages |
pdf.
Teichmüller theory and dynamics - Introduction du volume,
(with P. Dehornoy),
Panoramas et Synthèses Numéro 58 (2023), 14 pages |
pdf.
Length spectrum of hyperelliptic connected components,
(with C. Boissy),
accepted for publication in J. Eur. Math. Soc. (2022), 48 pages |
pdf.
Cohomological equations for linear involutions,
(with S. Marmi and S. Skripchenko),
Dynamical Systems (2021), 12 pages |
pdf.
Ruelle spectrum of linear pseudo-Anosov maps,
(with F. Faure and S. Gouëzel),
Journal de l'Ecole polytechnique 6:811-877 (2019), 68 pages |
pdf.
Weierstrass Prym eigenforms in genus four,
(with D.-M. Nguyen),
Journal of the Institute of Mathematics of Jussieu, 1-41 (2019) 41 pages |
pdf.
Tell Me a Pseudo-Anosov,
European Mathematical Society, Newsletter No. 106, December 2017, 11 pages |
pdf.
Finiteness results for Teichmüller curves in Prym loci,
(with M. Möller),
Experimental Mathematics (2019), 28 pages |
pdf.
[Download] GP/Pari files and sage files for the computer assisted proofs:
prym22_equation,
prym211_equation,
Section_6.1.sage,
Section_6.2.sage,
Section_8.2.sage.
Systoles in H(2),
(with V. Delecroix),
Preprint to appear soon (2018), 14 pages |
pdf.
Connected components of Prym loci having real multiplication ,
(with D.-M. Nguyen),
Mathematische Annalen, to appear (2017), 28 pages |
pdf.
Raconte moi un pseudo-Anosov ,
SMF - Gazette des Mathématiciens 151 (2017), 6 pages |
pdf.
Finiteness of Teichmuller curves in non-arithmetic rank 1 orbit closures ,
(with D.-M. Nguyen and A. Wright),
To appear in Amer. J. Math. (2016), 18 pages |
pdf.
Computing the Teichmueller polynomial ,
(with F. Valdez),
To appear in J. Eur. Math. Soc. (2016), 31 pages |
pdf.
GL^+(2,R)-orbits in Prym eigenform loci,
(with D.-M. Nguyen),
to appear in Geometry & Topology (2015), 51 pages |
pdf.
Complete periodicity of Prym eigenforms,
(with D.-M. Nguyen),
Annales Scientifiques de l'ENS (2014), 36 pages |
pdf.
Teichmueller
curves generated by Weierstrass Prym eigenforms in genus three and
genus four,
(with D.-M. Nguyen),
Journal of Topology (2013), 51 pages |
pdf.
Pseudo-Anosov homeomorphisms on translation surfaces in hyperelliptic
components have large entropy,
(with C. Boissy),
accepted in GAFA (2011), 29 pages |
pdf.
Enumerating Pseudo-Anosov Diffeomorphisms of Punctured Discs,
(with J.-L. Thiffeault),
preprint, 35 pages, coming very soon! (2010).
On the minimum dilatation of braids on the punctured disc,
(with J.-L. Thiffeault),
accepted in Geometriae Dedicata (2010), 18 pages |
pdf.
Infinite sequences of fixed point free pseudo-Anosov homeomorphisms on genus two surface,
Contemporary Mathematics, to appear (2010), 12 pages |
pdf.
On the minimum dilatation of pseudo-Anosov diffeomorphisms on surfaces of small genera,
(with J.-L. Thiffeault),
Annales de l'Institut Fourier, volume 60,
(2010), 26 pages |
pdf.
The Cat's Cradle, Stirring,
(with J.-L. Thiffeault and S. Matz),
To appear in
Dynamical Systems Magazine (April 2009), 7 pages |
pdf.
GL(2,R)-orbit closures via topological splittings,
(with Pascal Hubert and Martin Möller),
To appear in volume 14 of
Surveys in Differential Geometry (2010), pp 145-169 pages |
pdf |
ps.
Dynamics and geometry of the Rauzy-Veech induction
for quadratic differentials,
(with Corentin Boissy),
To appear in Ergodic Theory and Dynamical Systems (2008), 50 pages |
pdf |
ps.
Completely periodic directions and orbit closures of
many pseudo-Anosov Teichmueller discs in Q(1,1,1,1),
(with Pascal Hubert and Martin Möller),
accepted in Mathematische Annalen (2010),
38 pages |
pdf |
ps.
Un théorème de Kerckhoff, Masur et Smillie :
Unique ergodicité sur les surfaces plates,
(with Sébastien Gouëzel),
Séminaires et Congrès (2008)
19, Société Mathématique de France, Paris, 28 pages |
pdf |
ps.
The Arnoux-Yoccoz Teichmüller disc,
(with Pascal Hubert and Martin Möller),
To appear in Geometric and Functional Analysis (2008), 25 pages |
pdf |
ps.
Connected components of the strata of the moduli spaces of quadratic
differentials,
Annales Scientifiques de l'ENS (2008)
41, 56 pages
|
pdf |
ps.
Veech groups without parabolic elements,
(with Pascal Hubert),
Duke Mathematical Journal (2006)
133, 7 pages |
pdf |
ps.
Parity of the spin structure defined by a quadratic differential,
Geometry & Topology (2004)
8, 28 pages |
pdf |
ps.
Hyperelliptic components of the moduli spaces of quadratic differentials with prescribed
singularities,
Commentarii Mathematici Helvetici (2004)
79, 23 pages |
pdf |
ps.
Habilitation thesis (University of Sud-Toulon-Var):
``Promenade dynamique et combinatoire dans les espaces de Teichmüller''
pdf
(defended on June 28, 2010).
Thesis (University of Rennes):
``Classification of connected components of the strata of the moduli spaces of quadratic differentials''
(defended on December 5, 2003).
Advisor: Anton Zorich
