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, Representations of surface groups into Lie groups.Papers

- Volume form on moduli spaces of d-differentials (arXiv)

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

- Topological Veech dichotomy and tessellations of the hyperbolic plane, to appear in Israel Journal of Math. (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).