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 Conférecences (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, Representations of surface groups into Lie groups.Papers

- Complex hyperbolic volume and intersections of boundary divisors in moduli spaces of genus zero curves, joint with Vincent Koziarz (arXiv)

- Translation surfaces and the curve graph in genus two (arXiv).

- Connected components of Prym eigenform loci in genus three, joint with Erwan Lanneau ( arXiv).

- Volumes of the sets of translation surfaces with small saddle connections (arXiv).

- Finiteness of Teichmüller curves in non-arithmetic rank one orbit closures, joint with Erwan Lanneau and Alex Wright (arXiv), to appear in Amer. J. of Math.

- Rank two affine submanifolds in H(2,2) and H(3,1), joint with David Aulicino (arXiv), to appear in Geometry & Topology.

- 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, at Université Paris Sud XI (apart from the Introduction chapter, which is in French, the rest of thesis is written in English).

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