Duc-Manh NGUYEN (Version française)
IMB Bordeaux,
Université de Bordeaux, Bât. A33,
351, cours de la Libération
33405 Talence Cedex
France email:duc-manh.nguyen -at-
math.u-bordeaux.fr
Flat surfaces, Translation surfaces and their moduli spaces,
Teichmüller theory, Mapping Class Groups....
Papers
Representations of braid groups via cyclic covers of
the sphere: Zariski closure and arithmeticity, joint with
Gabrielle Menet (arXiv).
On the volumes of linear subvarieties in moduli spaces of
projectivized Abelian differentials (arXiv).
Volumes of the sets of translation surfaces with small
saddle connections in rank one affine submanifolds (arXiv).
Intersection theory and volumes of the moduli spaces of
flat metrics on the sphere (with an appendix joint
with Vincent
Koziarz), Geometriae Dedicata (special volume in honor
of François Labourie) (to appear) (arXiv)
The incidence variety compactification of strata of
d-differentials in genus 0, International Mathematics
Research Notices(to appear) (arXiv)
Volume form on moduli spaces
of d-differentials, Geometry & Topology
(2022) (arXiv)
Topological Veech dichotomy
and tessellations of the hyperbolic plane, Israel Journal of Math.
(2022) (arXiv)
Variation of Hodge structure
and enumerating tilings of surfaces by triangles and
squares, joint with Vincent Koziarz, Journal de l'Ecole Polytechnique
(2021) (arXiv).
Weierstrass Prym eigenforms
in genus four, joint with Erwan
Lanneau, Journal
of the Inst. Math. Jussieu (2020) (arXiv).
Rank two affine manifolds
in genus three, joint with David
Aulicino, Jour.
Diff. Geom. (2020) (arXiv).
Existence of closed
geodesics through a regular point on translation surfaces,
joint with Huiping Pan and Weixu Su (arXiv), Math. Annalen (2020).
Complex hyperbolic volume
and intersections of boundary divisors in moduli spaces of
pointed genus zero curves, joint with Vincent Koziarz, (arXiv) Ann. Sci. de l'E.N.S.
(2018).
Connected components of
Prym eigenform loci in genus three, joint with Erwan Lanneau, Math. Annalen (2018) (arXiv).
Translation surfaces and the
curve graph in genus two (arXiv), Alg. & Geom. Top. (2017).
Finiteness of Teichmüller
curves in non-arithmetic rank one orbit closures, joint
with Erwan
Lanneau and Alex Wright
(arXiv), Amer. J. of Math. (2017).
Rank two affine
submanifolds in H(2,2) and H(3,1), joint
with David Aulicino (arXiv), Geometry & Topology
(2016).
GL(2,R)-orbits in Prym
eigenform loci, joint with Erwan Lanneau, Geometry & Topology
(2016) (arXiv)
Complete periodicity of Prym
eigenforms, joint with Erwan
Lanneau, Annales
Scientifiques de l'E.N.S. (2016) (arXiv)
Classification of higher
rank orbit closures in H^{odd}(4), joint with David
Aulicino and Alex Wright, Journal of the European Mathematical Society (JEMS)
(2016) (arXiv)
Non-Veech surfaces in
H^{hyp}(4) are generic, joint with Alex Wright, Geometric and Functional Analysis
(GAFA) (2014) (arXiv)
On the topology of H(2),
Groups, Geometry, and Dynamics
(2014) (arXiv).
Teichmueller curves
generated by Weierstrass Prym eigenforms in genus three and
genus four, joint with Erwan
Lanneau, Journal of
Topology (2014) (arXiv)
Energy functions on moduli
space of flat surfaces with erasing forest, Mathematische Annalen (2012)
(arXiv).
Parallelogram decompositions
and generic surfaces in H^{hyp}(4), Geometry & Topology
(2011) (arXiv).
Triangulations and
volume forms on moduli spaces of flat surfaces, Geometric and Functional Analysis
(GAFA) (2010) (arXiv).
Thesis
Moduli
spaces of flat surfaces and their volume form
Ph.D. dissertation defended in December 2008,
Université Paris Sud XI (apart from the Introduction
chapter, which is in French, the rest of thesis is
written in English).