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Jean Van Schaftingen

Curriculum vitæ

Positions held

Starting Oct 2021
Professeur ordinaire (Full professor), Université catholique de Louvain, Faculté des Sciences and Institut de Recherche en Mathématique et Physique
Oct 2015–Sept 2021
Professeur (Professor), Université catholique de Louvain, Faculté des Sciences and Institut de Recherche en Mathématique et Physique.
Oct 2007–Sept 2015
Chargé de cours (Associate professor), Université catholique de Louvain, Faculté des Sciences and Institut de Recherche en Mathématique et Physique.
Oct 2006–Sep 2007
Chargé de recherches du Fonds National de la Recherche Scientifique (F.N.R.S. Postdoctoral Researcher), Université catholique de Louvain (UCLouvain), Département de Mathématique.
Oct 2002–Sep 2006
Aspirant du Fonds National de la Recherche Scientifique (F.N.R.S. Research Fellow), Université catholique de Louvain, Département de Mathématique.

Education

May 19, 2005
Docteur en sciences mathématiques (PhD in Mathematics), Université catholique de Louvain.
Jun 2002
Ingénieur civil en mathématiques appliquées (Master in Mathematical Engineering), Université catholique de Louvain.

Scientific awards

2006
Concours annuel de la Classe des Sciences de l’Académie royale des Sciences, des Lettres et des Beaux-Arts de Belgique, Groupe I – Mathématiques.
2020
Prix Jacques Deruyts, récompensant l’auteur de travaux originaux dans le domaine de l’analyse mathématique, Académie royale des Sciences, des Lettres et des Beaux-Arts de Belgique.

Research visits

Nov 2005–Jun 2006
Laboratoire J.-L. Lions, Université de Paris 6.
Jan 14–Mar 20, 2019
University of Oxford, Mathematical Institute, United Kingdom, Academic visitor.

Selected publications

Accepted
, and , Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains, to appear in Math. Annal.
2021
, and , Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold, Arch. Rat. Mech. Anal. 242 (2021), no. 2, 875–935.
2020
and , Vortex motion for the lake equations, Comm. Math. Phys. 375 (2020), no. 2, 1459–1501.
2019
, and , Properties of groundstates of nonlinear Schrödinger equations under a weak constant magnetic field, J. Math. Pures Appl. (9) 124 (2019), 123–168.
2015
, and , Strong density for higher order Sobolev spaces into compact manifolds, J. Eur. Math. Soc. (JEMS) 17 (2015), no. 4, 763–817.
and , Semi-classical states for the Choquard equations, Calc. Var. Partial Differential Equations 52 (2015), no. 1, 199–235.
2013
and , Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics, J. Funct. Anal. 265 (2013), no. 2, 153–184.
, Limiting Sobolev inequalities for vector fields and canceling linear differential operators, J. Eur. Math. Soc. (JEMS) 15 (2013), no. 3, 877–921.
2010
and , Desingularization of vortices for the Euler equation, Arch. Rat. Mech. Anal. 198 (2010), no. 3, 869–925.
2008
, Estimates for \(\mathrm{L}^1\) vector fields under higher-order differential conditions, J. Eur. Math. Soc. (JEMS) 10 (2008), no. 4, 867–882.
2006
, Approximation of symmetrizations and symmetry of critical points, Topol. Methods Nonlinear Anal. 28 (2006), no. 1, 61–85.
2004
, Estimates for \(L^1\)–vector fields, C. R. Math. Acad. Sci. Paris 339 (2004), no. 3, 181–186.

Selected invited talks

Dec 2, 2004
Joint Princeton, Institute for Advanced Study and Rutgers analysis seminar, Princeton University, \(L^1\) estimates for vector fields.
Feb 17, 2005
Analysis Seminar, Courant Institute for the Mathematical Sciences, New York University, \(L^1\) Estimates for vector fields.
May 5, 2006
Séminaire “Équations aux dérivées partielles et applications”, Collège de France, Paris, France, Estimations pour des systèmes elliptiques à données \(L^1\).
Jul 3–4, 2008
Four Generations under One Roof, A workshop in nonlinear analysis, Université de Paris 6, Semilinear elliptic problems and vortices for the Euler equation.
May 12, 2014
Partial Differential Equations Seminar, University of Oxford, Desingularization of stationary shallow water vortices.
Jun 30–Jul 4, 2014
Partial differential equations and nonlinearities, A conference in honor of Haïm Brezis, Paris, Lifting in Sobolev spaces revisited.
Aug 3, 2016
Godeaux Lecture (Belgian Mathematical Society) and Brussels Summer School of Mathematics, Brussels, Belgium, Sobolev mappings: from liquid crystals to irrigation via degree theory.
June 12–16, 2017
23rd Rolf Nevanlinna Colloquium, ETH Zürich, Forschungsinstitut für Mathematik, Uniform boundedness principle for Sobolev maps between manifolds.
May 13–17, 2019
Analytic-Geometric Inequalities and Related Topics, Institut Mittag-Leffler, The Royal Sweedish Academy of SciencesStockholm, Sweden, “Limiting Sobolev estimates for vector fields and canceling differential operators”.
Jun 2–6, 2019
New Perspectives in nonlinear PDE: A research workshop in honor of Prof. Haim Brezis, Department of Mathematics, Technion,, Haifa, Israel, “Estimates for the Hopf invariant in critical fractional Sobolev spaces”.
Oct 31, 2019
Bourgain Day, Paleis der Academiën, Brussels Belgium, Germany, “Sobolev topology, Ginzburg-Landau energy and elliptic systems regularity”.
Nov 2–6, 2020
Workshop on Vortex Filaments, Fields Institute, Toronto, Canada (online), “Vortex dynamics for the lake equations”.

Advanced courses

Jan 18–Mar 8, 2019
University of Oxford, Mathematical Institute, 16h course: “Sobolev mappings into manifolds”
Mar 28–31, 2019
VIIth Spring School of Analysis in memory of Aleksander Pełczyński: Differentiation and Geometry, Institute of Mathematics of the Polish Academy of Sciences, Banach center, Będlewo, (Poland), 6h minicourse: “Endpoint Sobolev estimates for vector fields and canceling differential operators”.