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

(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

I am a Maître de Conférences (Assistant Professor) at University of Bordeaux, and a member of the Geometry group of the Institute of Mathematics of Bordeaux (IMB Bordeaux).

More information about me can be found in this short CV.

Research Interest

Flat surfaces, Translation surfaces and their moduli spaces,
Teichmüller theory, Mapping Class Groups....Paper*s*

*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**

- 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).

- Surfaces plates et dynamique dans l'espace de modules Habilitation memoire defended in June 2016, Université de Bordeaux (in French).