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Virginie Charette

Professeure, Faculté des sciences
FAC. SCIENCES Mathématiques

Présentation

Sujet 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

Diplômes

(2002). (Post-doctorate, postdoctorate). McMaster University.

(2000). (Doctorate, PhD). University of Maryland at College Park.

(1994). (Master's Thesis, M.Sc - Masters). Université du Québec à Montréal.

(1992). (Bachelor's, B.Sc). Université du Québec à Montréal.

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