Duc-Manh NGUYEN

(English version)

IMB Bordeaux, 
Université de Bordeaux, Bât. A33,
351, cours de la Libération
33405 Talence Cedex
France
(Bureau 382)
email: duc-manh.nguyen -at- math.u-bordeaux.fr

Travaux

• Representations of  braid groups via cyclic covers of the sphere: Zariski closure and arithmeticity, avec Gabrielle Menet (lien arXiv).
  

• On the volumes of linear subvarieties in moduli spaces of projectivized Abelian differentials (lien arXiv).

• Volumes of the sets of translation surfaces with small saddle connections in rank one affine submanifolds (lien arXiv).

• Intersection theory and volumes of moduli spaces of flat metrics on the sphere (un appendice en commun avec Vincent Koziarz), Geometriae Dedicata (volume special en l'honneur de François Labourie)  (à paraître) (lien arXiv)
  

• The incidence variety compactification of strata of d-differentials in genus 0, International Mathematics Research Notices (à paraître) (lien arXiv)

• Volume form on moduli spaces of d-differentials,  Geometry & Topology (2022) (lien arXiv).

• Topological Veech dichotomy and tessellations of the hyperbolic plane, Israel Journal of Math.  (2022) (lien arXiv). 

•  Variation of Hodge structure and enumerating tilings of surfaces by triangles and squares,  avec Vincent Koziarz, Journal de l'Ecole Polytechnique (2021) (lien arXiv).

• Weierstrass Prym eigenforms in genus four, avec Erwan Lanneau,   Journal of the Inst. Math. Jussieu (2020) (lien arXiv).

•  Rank two affine manifolds in genus three, avec David Aulicino,  Journal of Differential Geometry (2020) (lien arXiv) .

• Existence of closed geodesics through a regular point on translation surfaces, avec Huiping Pan et Weixu Su (lien arXiv), Math. Annalen (2020).

• Complex hyperbolic volumes and intersections of boundary divisors in moduli spaces of pointed genus zero curves, avec Vincent Koziarz, (lien arXiv) Ann. Sci. de l'E.N.S.  (2018).

•  Connected components of Prym eigenform loci in genus three, avec Erwan Lanneau,  Math. Annalen (2018) (lien arXiv)

• Translation surfaces and the curve graph in genus two  (lien arXiv),  Alg. & Geom. Top.  (2017). 
  

• Finiteness of  Teichmüller curves in non-arithmetic rank one orbit closures, avec Erwan Lanneau et Alex Wright (lien arXiv),  Amer. J. of Math. (2017).

• Rank two affine submanifolds in H(2,2) and H(3,1), avec David Aulicino (lien arXiv),  Geometry & Topology  (2016).
  

•  GL(2,R)-orbits in Prym eigenform loci, avec Erwan Lanneau   Geometry & Topology   (2016) (lien arXiv)

• Complete periodicity of Prym eigenforms, avec Erwan Lanneau,  Annales Scientifiques de l'E.N.S (2016)  (lien arXiv)
  

• Classification of higher rank orbit closure in H^{odd}(4), avec David Aulicino et Alex Wright, Journal of the European Mathematical Society (JEMS)  (2016) (lien arXiv).
  

• Non-Veech surfaces in H^{hyp}(4)  are generic, avec  Alex Wright,  Geometric and Functional Analysis (GAFA)  (2014) (lien arXiv).
  

• On the topology of H(2), Groups, Geometry, and Dynamics (2014) (lien arXiv).
  

• Teichmueller curves generated by Weierstrass Prym eigenforms in genus three and genus four, avec Erwan Lanneau,  Journal of  Topology (2014) (lien arXiv).
  

• Parallelogram decompositions and generic surfaces in H^{hyp}(4), Geometry & Topology  (2011) (lien arXiv).
  

• Energy functions on moduli space of flat surfaces with erasing forest, Mathematische Annalen (2012)  (lien arXiv).
  

• Triangulations and volume forms on moduli spaces of flat surfaces, Geometric and Functional Analysis (GAFA) (2010) (lien arXiv).