Karin Melnick

Department of Mathematics
University of Maryland
College Park, MD 20742
karin at math.umd.edu
(301) 405-5148
I am an Assistant Professor at the University of Maryland in College Park.
Here is a link to our Geometry-Topology seminar.

Here is my curriculum vitae as of August 2011.

Research Interests

  • differential-geometric aspects of rigidity
  • Lorentz geometry
  • conformal pseudo-Riemannian geometry

    Papers:

  • Formes normales pour les champs conformes pseudo-riemanniens [Normal forms for pseudo-Riemannian conformal vector fields], with Charles Frances
    dvi pdf ps
    posted at http://www.arXiv.org/abs/1008.3781

  • A Frobenius theorem for Cartan geometries, with applications
    dvi pdf ps
    L'Enseignement Mathématique (Sér. II) 57 no. 1-2 (2011) 57-89

  • Conformal actions of nilpotent groups on pseudo-Riemannian manifolds, with Charles Frances
    dvi pdf ps
    Duke Mathematical Journal 153 no. 3 (2010) 511-550

  • Dynamics on Lorentz manifolds, lecture notes in English from the École de Géométrie Différentielle et Systèmes Dynamiques, ENSET Oran, Algeria, November 4-9, 2006
    dvi pdf ps
    French version, translated by D. Smai, in Algèbre, analyse, et dynamique pour la géométrie: Actes des Écoles de Géométrie et Dynamique au Maghreb 2004-2007 (eds. T. Barbot, H. Belbachir, S. Mehdi, D. Smai, R. Souam) Paris: Ellipses (2010) 307-342

  • An embedding theorem for automorphism groups of Cartan geometries, with Uri Bader and Charles Frances
    dvi pdf ps
    Geometric and Functional Analysis 19 no. 2 (2009) 333-355

  • Compact Lorentz manifolds with local symmetry
    University of Chicago dissertation, 2006 dvi pdf ps
    article version dvi pdf ps
    Journal of Differential Geometry 81 no. 2 (2009) 355-390

  • A primer on the (2+1) Einstein universe, with Thierry Barbot, Virginie Charette, Todd Drumm, and William Goldman
    dvi pdf ps
    in Recent developments in pseudo-Riemannian Geometry: Proceedings of the Special Semester "Geometry of pseudo-Riemannian manifolds with application to physics", Erwin Schrödinger Insitute, Vienna, Sept - Dec 2005 (eds. D. Alekseevsky and H. Baum) in ESI-Series on Mathematics and Physics

  • Actions of noncompact semisimple groups on Lorentz manifolds, with Mohamed Deffaf and Abdelghani Zeghib
    dvi pdf ps
    Geometric and Functional Analysis 18 no. 2 (2008) 463-488

  • Isometric actions of Heisenberg groups on compact Lorentz manifolds
    dvi pdf ps
    Geometriae Dedicata 126 no. 1 (2007) 131-154

    Recent and upcoming talks and conferences

  • GEAR Junior Retreat Urbana-Champaign, IL, July, 2012
  • University of Wisconson, Madison Geometry and Topology Seminar April, 2012
  • Indiana Univeristy Geometry Seminar April, 2012
  • Université Lille 1 Séminaire Géométrie Dynamique March, 2012
  • Université Nice Sophia Antipolis Séminaire de Géométrie et Analyse February, 2012
  • Geometry and Analysis of Surface Group Representations Institut Henri Poincaré, Spring 2012
  • Australian National University Differential Geometry Seminar January, 2012
  • Workshop on Cartan Connections, Geometry of Homogeneous Spaces, and Dynamics Erwin Schrödinger Institute, July, 2011
        Abstracts for week 2, with some links to slides
        I am a guest editor for the ensuing special issue of the Central European Journal of Mathematics
  • Kortrijk Workshop on Discrete Groups and Geometric Structures Oostende, Belgium, May-June, 2011
  • Indiana University Geometry Seminar April, 2011
  • RTG Workshop on Higher Dimensional Teichmüller Theory Ann Arbor, Michigan, April, 2011

    Teaching

    I am not teaching any courses in Spring 2012.

    Some Pictures and Links

  • Portrait of incoming graduate students, University of Chicago, September 1999
  • A gathering of Chicago mathematicians, June 2010