Paul Laurain's Homepage

Journées d'analyse géométrique de Lyon, 20-21 Octobre 2011 Situation Currently, I am «Maitre de Conférence» (a kind of assitant professor position) at Univeristé Paris Diderot. Here is my complete my CV. I have done my PhD (French) under the supervision of Olivier Druet. My PhD is about asymptotic behaviour of constant mean curvature surfaces and prescribed mean curvature problems. Here are the slides of my defence (French). Interests Nonlinear elliptic equations with critical exponent, equations of Yamabe type, conformal invariant problems. Problem of prescribed curvature, notably with the mean curvature : CMC in Riemannian manifolds, H-bubbles.

Paul Laurain IMJ- Paris 7 laurainp@math.jussieu.fr UFR de Mathématiques Equipe Géométrie et Dynamique 175 rue du Chevaleret 75013 Paris France Tel:+33 01 57 27 91 33.

Publications and Preprints

[2] Stability of the Poho\v{z}aev Obstruction in Dimension 3,
with O.Druet, J. Eur. Math. Soc. (JEMS) 12 (2010), no. 5, 1117-1149. pdf

[3] Concentration of CMC surfaces in a Riemannian manifold, 48 pages, accepted for publication in I.M.R.N. . pdf

[4] Concentration of CMC surfaces with free boundaries, 24 pages,
accepted for publication in Annales de l'Institut Henri Poincare / Analyse non lineaire. pdf

[5] Angular Energy Quantization for Linear Elliptic Systems with Antisymmetric Potentials and Applications,
with T.Riviere, 38 pages. arxiv

[6] Energy Quantization for biharmonic maps,
avec T.Riviere, 20 pages. arxiv

[7] Asymptotic analysis for the Plateau's Problem. In preparation.

Talks Séminaire des thésards de Lyon, January 2009 . Conference on Geometric and nonlinear analysis, University of Cergy-Pontoise , May 2009 . Lack of Compactness in Nonlinear Problems: Prospects and Applications, CIRM(Marseille), October 2009 . Séminaire des thésards de Lyon, January 2010 . Singularities in Partial Differential Equations, I.H.E.S., July 2010 . Journées E.D.P. Rhône-Alpes-Auvergne, Lyon, November 2010 . Séminaire d'E.D.P. de Lille, December 2010 . Séminaire d'analyse et de géométrie de Nice , January 2011 . Séminaire de géométrie de Nancy , February 2011 . Seminar of Analysis of the E.T.H.(Zurich), February 2011 . Seminar of Analysis of Marseille, March 2011 . Conférence d'analyse géométrique, Brest , March 2011 . Geometric and Nonlinear Analysis: Meeting in Lorraine, Nancy , June 2011 . Conférence d'analyse géométrique at Tours, June 2011 . Séminaire de géométrie de l'Institut Mathématique de Jussieu (Paris 7) , Novembre 2011 . Seminar of analysis of the university of Warwick, Novembre 2011 . Séminaire de l'ANR "Mathematical General Relativity. Analysis and geometry of spacetimes with low regularity", Paris 6, Novembre 2011 . Séminaire d'analyse et de géométrie de l'Institut Mathématique de Jussieu (Paris 6) , Janvier 2012 . Seminar of geometrid analysis of Imperial College, March 2012 . Séminaire de géométrie et de dynamique de l'Université d'Orsay, March 2012 . Conference on Recent Trends in geometric analysis, Banff , August 2012 . Seminar during the semester: Conformal and Kähler Geometry at IHP, Paris , Fall 2012 .

Articles for general public Here is an article about the soap bubble problem and the Steiner's problem (french). You will also find a lot of good articles for general audience on Images des Mathématiques. Various texts Autour de deux problèmes classiques de géométrie : Le théorème des quatre sommets et le théorème d’Aleksandrov. Text here Équations elliptiques semi-linéaires avec un exposant critique. Text here

Teaching

2011/2012

my previous teaching