version française
Research interests
-translation surfaces, flat surfaces
-moduli spaces
-Teichmüller theory
-interval exchanges
-billards
Publications.
[1] Configuration of saddle
connections of quadratic differentials on CP1 and on hyperelliptic
Riemann surfaces. Comment. Math. Helv., 84 (2009), p757-791.
pdf
[2] Degenerations of quadratic
differentials on CP1,
Geometry and Topology 12 (2008) p1345-1386.
pdf
[3] Dynamics and geometry of the Rauzy-Veech induction for quadratic differentials, [with E. Lanneau]
Ergodic Theory and Dynamical Systems, 29 (2009), p767-816
pdf
[4]
Classification of Rauzy classes in the moduli space of quadratic
differentials, (2009), Discrete and Continuous Dynamical systems,
series A, 32 (2012), p3433-3457.
pdf
[5]
Ends of strata in the moduli space of quadratic differentials,
Geometria Dedicata 159 (2012), p71-88
pdf
[6]
Pseudo-Anosov homeomorphisms on hyperelliptic surfaces have large
entropy, [with E. Lanneau], Geom. Funct. Anal. 22 (2012)
pdf
[7]
Labeled Rauzy classes and framed translation surfaces,
Annales de l'institut Fourier 63, (2013) p. 547-572
pdf
(republished in 2015 due to a mistake
of the publishing house... erasing many pictures)
[8]
Connected components of the moduli space of meromorphic differentials, Comment. Math. Helv. 90 (2015), no. 2, 255286.
pdf
[9] Moduli space of meromorphic differentials with marked horizontal separatrices, (2015), Accepted in AGT pdf
Preprints.
[NN]
A combinatorial move on the set of Jenkins-Strebel differentials, (2014), preprint
pdf softwares (not intended for publication)
[10] Geodesic length spectrum in hyperelliptic component, [with E. Lanneau], accepted for publication in J. Eur. Math. Soc. (2021), pdf
[11] Systoles in translation surface, [with S. Geninska], to appear in Bull. SMF , pdf
[12]
The automorphism group of Rauzy diagrams,
(2020)
pdf
[13] Relative systoles in hyperelliptic translation surface, [avec S. Geninska] (2020), pdf