Jean Van Schaftingen’s Vitæ

Jean Van Schaftingen’s Vitæ

Born on February 17th, 1979

Positions held

Oct 2007
– present
Associate professor (Chargé de cours), Department of Mathematics, Université catholique de Louvain.
Oct 2006
– Sep 2007
F.N.R.S. Postdoctoral Researcher (Chargé de recherches du Fonds National de la Recherche Scientifique), Department of Mathematics, Université catholique de Louvain.
Oct 2002
– Sep 2006
F.N.R.S. Research Fellow (Aspirant du Fonds National de la Recherche Scientifique), Department of Mathematics, Université catholique de Louvain.

Education

May 2005PhD in Mathematics (Docteur en sciences (mathématiques)), Université catholique de Louvain.
Title of the dissertation: Symmetrizations, Symmetry of Critical Points and \(L^1\) Estimates.
Members of the comittee Michel Willem (advisor), Jean Mawhin (chair), Thomas Bartsch (Universität Giessen), Haïm Brezis (Université de Paris VI), Thierry De Pauw (UCL), Jean-Pierre Gossez (Université Libre de Bruxelles) and Patrick Habets (UCL).
Jun 2003Master Degree (Mathematics) (Diplôme d’études approfondies interuniversitaire en mathématiques,) Université catholique de Louvain.
Thesis: Symétrisations: mesure, géométrie et approximation, advisor: Michel Willem.
Jun 2002University Engineer in Applied Mathematics (Ingénieur civil en mathématiques appliquées), Université catholique de Louvain, summa cum laude.
Thesis: Symétrisations et problèmes elliptiques non linéaires, advisor: Michel Willem.

Teaching experience

2001 – 2002Undergraduate student instructor, Continuum mechanics, Engineering School, Université catholique de Louvain.
2002 – 2005Instructor for exercises in Functional Analysis for student in mathematics and Analysis complements for students in engineering in applied mathematics.

Awards

2006Concours annuel de la Classe des Sciences de l'Académie royale des Sciences, des Lettres et des Beaux-Arts de Belgique, Group I – Mathematics for an original contribution to the study of the role of symmetry in nonlinear problems.
2011Prix Adolphe Wetrems, mathematical and physical sciences, Académie royale des Sciences, des Lettres et des Beaux-Arts de Belgique.

Scientific publications

2004J. Van Schaftingen, A simple proof of an inequality of Bourgain, Brezis and Mironescu, C. R. Math. Acad. Sci. Paris, 338 (2004), no. 1, 23–26.
J. Van Schaftingen and M. Willem, Set transformations, symmetrizations and isoperimetric inequalities, Nonlinear Analysis and Applications to the Physical Sciences, Springer Italia, Milan, 2004, 135–152.
J. Van Schaftingen, Estimates for \(L^1\)–vector fields, C. R. Math. Acad. Sci. Paris, 339 (2004), no. 3, 181–186.
J. Van Schaftingen, Estimates for \(L^1\) vector fields with a second order condition, Acad. Roy. Belg. Bull. Cl. Sci. (6), 15 (2004), no. 1–6, 103–112.
2005 N. Meunier, J. Van Schaftingen, Reiterated homogenization for elliptic operators, C. R. Math. Acad. Sci. Paris, 340 (2005), no. 3, 209–214.
J. Van Schaftingen, Symmetrization and minimax principles, Commun. Contemp. Math., 5 (2005), no. 4, 463-481.
N. Meunier, J. Van Schaftingen, Periodic reiterated homogenization for elliptic functions, J. Math. Pures Appl., 84 (2005), no. 12, 1716-1743.
2006 J. Van Schaftingen, Universal approximation of symmetrizations by polarizations, Proc. Amer. Math. Soc., 134 (2006), no. 1, 177-186.
D. Bonheure, J. Van Schaftingen, Nonlinear Schrödinger equations with potentials vanishing at infinity, C. R. Math. Acad. Sci. Paris, 342 (2006), no. 12, 903–908.
J. Van Schaftingen, Function spaces between BMO and critical Sobolev spaces, J. Funct. Anal., 236 (2006), no. 2, 490–516.
J. Van Schaftingen, Anisotropic symmetrizations, Ann. Inst. H. Poincaré Anal. Non Linéaire, 23 (2006), no. 4, 539–565.
J. Van Schaftingen, Approximation of symmetrizations and symmetry of critical points, Topol. Methods Nonlinear Anal., 28 (2006), 61–85.
2007A. C. Ponce, J. Van Schaftingen, The continuity of functions with N-th derivative measure, Houston J. Math., 33 (2007), no. 3, 927–939.
A. Damlamian, N. Meunier, J. Van Schaftingen, Periodic homogenization of monotone multivalued operators, Nonlinear Anal., 67 (2007), no. 12, 3217–3239.
H. Brezis, J. Van Schaftingen, Boundary estimates for elliptic systems with \(L^1\)-data, Calc. Var. Partial Differential Equations, 30 (2007), no. 3, 369–388.

Research visits

Jan 18, 2004
–Mar 12, 2004
Laboratoire J.-L. Lions, Université de Paris 6, France.
Dec 1–9, 2004 Rutgers University, New Brunswick, New Jersey.
Feb 14–28, 2005 Courant Institute for the Mathematical Sciences, New York University.
Apr 2005 Laboratoire J.-L. Lions, Université de Paris 6, France.
Nov 2005
–Jun 2006
Laboratoire J.-L. Lions, Université de Paris 6, France.
Nov 27–Dec 5, 2006 Rutgers University, New Brunswick, New Jersey.
Jan 8–17, 2008 Rutgers University, New Brunswick, New Jersey.
Feb 2–12, 2009 Rutgers University, New Brunswick, New Jersey.
Jan 18–27, 2011 Rutgers University, New Brunswick, New Jersey.

Invited seminars and lectures

, Limiting estimates for \(L^1\) vector fields
Feb 25, 2004 Groupe de travail – analyse non linéaire, Laboratoire J.-L. Lions, Université de Paris 6, Symétries de points critiques obtenus par des méthodes de minimax.
Mar 11, 2004 Groupe de travail – équations elliptiques et paraboliques non linéaires, Université de Paris 11, Symétrisations et symétries de solutions de problèmes variationnels.
Dec 2, 2004 Joint Princeton, Institute for Advanced Study and Rutgers analysis seminar, Princeton University, \(L^1\) estimates for vector fields.
Dec 7, 2004 Rutgers analysis seminar, Rutgers University, New Brunswick, New Jersey, Approximation of symmetrizations, random symmetrizations and symmetry of critical points.
Feb 17, 2005 Analysis Seminar, Courant Insitute for the Mathematical Sciences, New York University, \(L^1\) Estimates for vector fields.
Apr 5, 2005 Groupe de travail – analyse non linéaire, Laboratoire J.-L. Lions, Université de Paris 6, Estimations \(L^1\) pour des champs de vecteurs.
May 20–22, 2005 Joint BeNeLuxFra conference in Mathematics (Joint meeting of the mathstrongatical societies of Belgium, Netherlands, Luxembourg and France), Ghent, Belgium, \(L^1\) Estimates for vector fields.
May 24, 2005 Oberseminar Analysis, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany, \(L^1\) Estimates for vector fields.
Jun 26, 2005
– Jul 2, 2005
Topological and Variational Methods for Differential Equations, Mathematisches Forschungsinstitut Oberwolfach, Germany, Symmetrization and symmetry of critical points.
Aug 1–5, 2005 Fixed Point Theory and its Applications, Będlewo, Poland, Symmetry properties of solutions of semilinear elliptic problems.
Sep 12, 2005 PhD Day, Belgian Mathematical Society, Bruxelles, Approximation of symmetrizations and symmetry of critical points.
Dec 15, 2005 Séminaire d’analyse, Tours, France, Réarrangement symétrique: approximation et symétrie de points critiques.
Feb 15, 2006 Groupe de travail – analyse non linéaire, Laboratoire J.-L. Lions, Université de Paris 6, États stationnaires pour l’équation de Schrödinger non linéaire dans le cas semi-classique.
May 5, 2006 Séminaire « Équations aux dérivées partielles et applications » , Collège de France, Paris, Estimations pour des systèmes elliptiques à données \(L^1\).
May 22, 2006 Séminaire « Équations aux Dérivées Partielles » , Institut Camille Jordan, Université de Lyon I, Estimations pour des systèmes elliptiques à données \(L^1\).
Nov 6, 2006 Oberseminar Analysis , Mathematisches Institut, Universitaet zu Koeln, Cologne, Germany, Approximation of symmetrizations by polarizations and symmetry of solutions of elliptic problems .
Nov 14, 2006 Analysis and Partial Differential Equations Seminar , Department of Mathematics, University of Bristol, United Kingdom, \(L^1\) estimates for vector fields.
Nov 29, 2006 Rutgers analysis seminar, Rutgers University, New Brunswick, New Jersey, \(L^1\) estimates for vector fields.
Jun 3–10, 2007 Geometric Analysis and Nonlinear Partial Differential Equartions, Będlewo, Pologne, Estimates for \(L^1\) vector fields.
Jan 15, 2008 Rutgers analysis seminar, Rutgers University, New Brunswick, New Jersey, Desingularization of vortices for the Euler equation by a semilinear elliptic problem.
Feb 11–12, 2008 Seminar on Analysis, Institut für Mathematik, RWTH Aachen, Germany, Desingularization of vortices for the Euler equation by a semilinear elliptic problem.
Apr 10, 2008Mathematisches Institut, Justus Liebig Universität Gießen, Germany, Desingularization of vortices for the Euler equation by a semilinear elliptic problem.
May 15, 2008Seminarium Zakładu Równań Fizyki Matematycznej, Wydział Matematiky, Informatyki i Mechaniki, Uniwersytet Warszawski, Varsovie, Pologne, Estimate for L1 vector-fields.
Jun 4, 2008Colloquium, Centre for Analysis, Scientific computing and Applications, Technische Universiteit Eindhoven, Netherlands, Semilinear elliptic problems and vortices for the Euler equation.
Jun 17, 2008SFB Seminar, Institut für Angewandte Mathematik, Universität Bonn, Estimates for \(L^1\) vector-fields.
Jul 3–4, 2008Four Generations under One Roof, A workshop in nonlinear analysis, Université de Paris 6, Semilinear elliptic problems and vortices for the Euler equation.
Jan 15, 2009Analysis and PDEs Seminar, Swansea University, Desingularisation of vortices for the Euler equation by a semilinear elliptic problem.
Feb 11, 2009Nonlinear Analysis and PDEs Seminar, Rutgers University, Semiclassical stationary states for the nonlinear Schrodinger equations with fast decaying potentials.
April 2, 2009Seminario di Analisi, Dipartimento di Matematica “Ulisse Dini” Universitá degli Studi di Firenze, Estimates for L1 vector fields.
July 16, 2009CASA Minimsymposium on Special limits in PDEs Technische Universiteit Einhoven, Periodic homogenization, convergence of monotone operators and Mosco convergence.
Jan 15-16, 2009Second South West Regional PDE Winter School, Swansea University
Feb 22, 2010 Oberseminar Geometrische Analysis, Goethe Universität Frankfurt, Existence of optimal functions for Poincaré-Sobolev inequalities.
Jun 3, 2010 ERC Nonlinear Problems in PDEs, Università degli Studi di Parma, What can be estimated by L1 norms of some derivatives of a vector field?
Jun 17, 2010 Analysis and PDEs Seminar, Swansea University, Semiclassical stationary states for nonlinear Schroedinger equations with fast decaying potentials.
Sep 14-17, 20104th Group Actions in Topology and Analysis Conference, Milan 2010, Approximation of symmetrizations.
Jan 26, 2011 Nonlinear analysis seminar, Rutgers University, New Brunswick, New Jersey, Nonexistence of positive supersolutions for semilinear elliptic problems with a nonlocal nonlinearity.
Feb 23, 2011 Seminario di Analisi Matematica Sapienza Università di Roma, What can be estimated by the \(L^1\) norm of some components of the derivatives of a vector field?
Dec 13-15, 2011 Initial Training Network FRonts and Interfaces in Science and Technology, Bath, United Kingdom, Nonexistence of positive super solutions for semilinear elliptic problems with a nonlocal nonlinearity. Dec 15, 2011Analysis and PDEs Seminar, Swansea University, Nonexistence of positive super solutions for semilinear elliptic problems with a nonlocal nonlinearity.

Conferences attended

Apr 22, 2003
–May 9, 2003
Workshop and Conference on Recent Trends in Nonlinear Variational Problems, Abdus Salam International Centre for Theoretical Physics, Trieste, Italy.
Jun 21–25, 2004 Nonlinear Analysis — Conference in Honor of Haïm Brezis, Paris, France.
Jul 2–8, 2006 Global and Geometric Aspects of Nonlinear Partial Differential Equations, European Science Foundation Programme, Évolène, Switzerland.
Apr 26–30, 2010 Differential and topological problems in modern theoretical physics, SISSA, Trieste.
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