Présentation

Sujets de recherche

Geometry.

Disciplines de recherche

Pure Mathematics.

Mots-clés

Affine structures, Geometric structures, Lorentzian manifolds.

Intérêts de recherche

I study flat Lorentz structures on three-manifolds and associated conformal structures. I am also interested in the bidisk and the implications of geometry in the theory of cluster algebras.

Langues parlées et écrites

Anglais, Français

Publications

Articles de revue

• Charette V, Goldman W. (2016). McShane-type identities for affine deformations. Annales de l'Institut Fourier, (Revision Requested).
• Charette V, Drumm T, Goldman W. (2016). Proper affine deformations of the one-holed torus. Transformation groups, (In Press).
• Charette V, Drumm T, Kim Y. (2016). The uniqueness of bisectors in the bidisk. International Journal of Mathematics, (Submitted).
• Charette, V, Drumm, T. (2015). Complete Lorentzian 3-Manifolds. Contemporary Mathematics, 639, 43-72. (Published).
• Burelle J-P *, Charette V, Drumm T, Goldman W. (2014). Crooked halfspaces. L'Enseignement mathématique, 60, 1-36. (Published).
• Charette V, Drumm T, Goldman W. (2014). Finite-sided deformation spaces of complete affine 3-manifolds. Journal of Topology, 7, 225-246. (Published).
• Charette V, Kim Y. (2014). Foliations of Minkowski 2+1 spacetime by crooked planes. International Journal of Mathematics, 25(9), (Published).
• Charette V, Francoeur D *, Lareau-Dussault R *. (2014). Fundamental domains in the Einstein Universe. Journal of Topology and its Applications, 174, 62-80. (Published).
• Charette V, Drumm T, Lareau-Dussault R *. (2013). Equidistant hypersurfaces of the bidisk. Geometriae Dedicata, 163, 275-284. (Published).
• Charette V, Drumm T, Goldman W. (2010). Affine Deformations of the three-holed sphere. Geometry and Topology, 14, 1355-1382. (Published).
• Charette V, Drumm T, Goldman W. (2010). Stretching three-holed spheres and the Margulis invariant. Contemporary Mathematics, 510, 61-70. (Published).
• (2009). Groups generated by spine reflections admitting crooked fundamental domains. Contemporary Mathematics, 501, 133-146. (Published).
• Barbot, Thierry, Charette, Virginie, Drumm, Todd A., Goldman, William M. et Melnick, Karin. (2008). A primer on the (2+1) Einstein Universe. Recent Developments in Pseudo-Riemannian Geometry, (Published).
• Charette, Virginie. (2006). Non-proper affine actions of the holonomy group of a punctured torus. Forum Mathematicum, vol. 18(1), 121-135. (Published).
• (2006). The affine deformation space of a rank two Schottky group : A picture gallery. Geometriae Dedicata, 122, 173-183. (Published).
• Charette, Virginie et Drumm, Todd A. (2005). The Margulis invariant for parabolic transformations. Proceedings of the American Mathematical Society, 133, 2439-2447. (Published).
• Charette, Virginie, Goldman, William M. et Jones, Catherine A. (2004). Recurrent Geodesics in flat Lorentz 3-manifolds. Canadian Mathematics Bulletin, 47, 332-342. (Published).
• Charette, Virginie et Drumm. Todd A. (2004). Strong marked isospectrality of affine Lorentzian groups. Journal of Differential Geometry, vol. 66(no. 3), 437-452. (Published).
• Charette, Virginie. (2003). Affine deformations of ultraideal triangle groups. Geometriae Dedicata, vol.97, 17-31. (Accepted).
• Charette, Virginie, Drumm, Todd A. et Brill, Dieter. (2003). Closed timelike curves in flat Lorentz space-times. Journal of Geometry and Physics, 46, 394-408. (Published).
• Charette, Virginie, Drumm, Todd A., Goldman, William M. et Morrill, Maria. (2003). Complete flat affine and Lorentzian manifolds. Geometriae Dedicata, 97, 187-198. (Published).
• Charette, Virginie et Goldman, William M. (2000). Affine Schottky groups and crooked tilings. Contemporary Mathematics, 262, 69-97. (Published).

Autres contributions

Gestion d'évènements

• Directrice de département.
• Co-organizer. Colloque sur les surfaces et les représentations. (Conference).
• Member of organizing committee. Conference in honor of Bill Goldman's 60th birthday. (Conference).
• Co-organizer. Connections for Women in Mathematics, MSRI. (Conference).
• Co-organizer. Higher Teichmüller-Thurston Theory. (Workshop).
• Co-organizer. Rencontre de théorie des représentations des algèbres et sujets connexes. (Conference).
• Co-organizer. The Geometry of Real Projective Structures (AMS MRC). (Workshop).

Présentations

• (2016). Bisectors in the bidisk. Sectional meeting of the American Mathematical Society. Brunswick ME, United States.
• (2016). Some symplectic geometry in the 3-d Einstein Universe. Topology seminar, UIUC. Urbana-Champaign, United States.
• (2016). Tori in the Einstein Universe of dimension three. Workshop on Moduli Spaces of Geometric Structures, NUS. Singapore, Singapore.
• (2015). Discrete groups acting on the Einstein Universe. Advanced School and Workshop on Geometry of Discrete Groups, ICTP. Trieste, Italy.
• (2013). Flat Lorentzian manifolds. Korean Women in Mathematical Sciences. Seoul, Korea, Republic of.
• (2013). Fundamental polyhedra in the Einstein Universe. Exotic Geometric Structures, ICERM, Brown University. Providence, United States.
• (2013). Mini-cours sur les variétés lorentziennes de dimension trois. Aspects géométriques et dynamiques des groupes discrets, Université de Lille. Lille, France.
• (2012). Actions propres de groupes de Schottky sur l'univers d'Einstein. Geometry Seminar, ETH Zürich. Zürich, Switzerland.
• (2012). Domaines fondamentaux dans l'univers d'Einstein. Séminaire de systèmes dynamiques et géométrie, Université d'Avignon. Avignon, France.
• (2012). Ideal triangulations and fundamental domains. Surface Groups in Paris Conference, IHP. Paris, France.
• (2012). Lorentzian manifolds in dimension three. Groups, Geometry and Dynamics Conference. Almora, India.
• (2012). Mini-course on Lorentzian geometry. Geometry and analysis of surface group representations, IHP. Paris, France.
• (2012). The crooked plane conjecture. Department of Mathematics Colloquium, Durham University. Durham, United Kingdom.
• (2011). Groups generated by Lorentzian involutions. Conference on Crystallographic Groups and their Generalizations. Ostende, Belgium.
• (2011). Mini-course on flat Lorentzian manifolds. 4th Meeting on Differential Geometry, CIMAT. Guanajuato, Mexico.
• (2011). The crooked plane conjecture. Ahlfors-Bers Colloquium and Workshop, Rice University. Houston, United States.
• (2011). The crooked plane conjecture. Department of Mathematics Colloquium, Howard University. Washington, D.C., United States.
• (2011). The geometry of flat Lorentz 3-manifolds. Complex Analytic and Algebraic Trends in the Geometry of Varieties, UQAM. Montréal, Canada.
• (2011). The geometry of the bidisk. Special Session on Differential Geometry, CMS Winter Meeting. Toronto, Canada.
• (2010). Affine deformations of the one-holed torus. Geometry Seminar, Brown University. Providence, United States.
• (2010). Affine deformations of the three-holed sphere. Geometric Structures in 2 and 3 dimensions Conference. Autrans, France.
• (2010). Affine deformations of the three-holed sphere and other surfaces. Topology, Geometry and Dynamics of Character Varieties Workshop, NUS. SIngapore, Singapore.
• (2010). Some surface group actions on the Einstein Universe. Flat Conformal Lorentzian Structures Workshop, Princeton. Princeton, United States.