Education
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Ph.D. Université catholique de Louvain, Belgium, 1998.
Employment history
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Research Associate (tenured) F.N.R.S., Belgium (2002-present).
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Marie Curie European fellowship, Université Paris 11, Orsay, France (2001-2003).
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Post-doctoral position, Université Paris 11, Orsay, France (2001).
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Invited lecturer, Rice University, Texas (Spring 2000).
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E.P.S.R.C. fellowship, University College London, London, England (1998-2000).
Research interests: Analysis
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Geometric measure theory: existence and regularity of solutions of geometric variational problems in Euclidean or metric spaces.
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Linear and nonlinear partial differential equations: regularity of solutions and removable singularities.
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Conditionally convergent integrals: coordinate free generalizations of the Lebesgue integral, the Gauss-Green Theorem.
PhD Students
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Laurent Moonens (Conditionally convergent integrals and removable singularities)
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Thomas Meinguet (Plateau-like problems)
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Jordan Goblet (Multi-functions in the sense of F.J. Almgren)
Post-doctoral collaborator
Teaching experience
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Geometric Measure Theory (graduate), at the Université catholique de Louvain since 2004.
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Probability (graduate), at the Université catholique de Louvain, 2005-2006.
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Several variables (undergraduate), at the Université catholique de Louvain, 2004-2005.
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Elliptic PDE (graduate), at Rice University, 2000.
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Calculus and its applications (undergraduate), at Rice University, 2000.
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Teaching assistant (undergraduate), at the Université catholique de Louvain, 1993-1998.
Selected invited talks
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Nonlinear analysis and PDEs seminar (Rutgers University, 2006): The Gauss-Green Theorem and applications to PDEs.
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Analysis seminar (Courant Institute, 2006): The Gauss-Green Theorem and applications to PDEs.
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Séminaire d'analyse harmonique (Orsay, 2005): Caractérisation des distributions F telles que l'équation div v = F admet une solution continue v.
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International Conference on Calculus of Variations and Partial Differential Equations (Hangzhou, China, 2005): Monotonicity, epiperimetry and regularity.
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Geometric Analysis Seminar (University of Helsinki, 2005): New theorems pertaining to the Plateau problem.
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Workshop in Analysis and Geometric Measure Theory (Banff, Canada, 2003): The Plateau problem is not solved yet, we are working at it!.
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Workshop in Geometric Measure Theory and the Calculus of Variations (Trento, Italy, 2003): Smooth submanifolds, density ratios and almost area minimizing integral currents.
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Analysis Seminar (Oxford University, 2002): Soap films: Federer-Fleming's vs Reifenberg's approach.
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Colloquium lecture (Université catholique de Louvain, 2002): On a marché sur des bulles.
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Harmonic analysis and partial differential equations (Institut Henri Poincaré, Paris, 2002): Size minimization and approximating problems.
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Séminaire d'analyse (Université d'Orléans, 2001): Autour du théorème de la divergence.
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Prairie analysis seminar (Kansas State University, 2001): Nearly flat almost monotone measures are big pieces of Lipschitz graphs.
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Analysis seminar (University of Houston, 2001): Size minimization and approximating problems
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Geometry-analysis seminar (Rice University, 2001): Size minimization and approximating problems.
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ICMS meeting "Progess in PDE" (Edinburgh, 2001): Nearly flat almost monotone measures are big pieces of Lipschitz graphs.
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Geometry-Analysis seminar (Rice University, 2000): Monotonicity and the regularity of measures.
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Séminaire d'analyse harmonique (Orsay, 2000): Sur le problème de Plateau.
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Colloquium lecture (Aberdeen University, 1999): Size minimizing integral currents.
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Colloquium lecture (University College London, 1998): Calibrations and functions of bounded variation.
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CARTEMI meeting (Italy, 1998): About BV dual.
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Geometry-Analysis seminar (Rice University, 1997): About BV dual.
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CARTEMI meeting (Ischia, Italy, 1996): Topologies for the space of BV integrable functions in Rn.
Administrative duties
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Member of the PhD committee of: Marc Bernot (E.N.S., Cachan, France, 2006), Ville Suomala (U. of Helsinki, Finland, 2005), Gautier Berck (U.C.L., Belgium, 2005).
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In charge of the Geometric Measure Theory seminar at the Université catholique de Louvain.
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Member of the committee in charge of making the new graduate program, Université catholique de Louvain, 2005-2006.
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Co-organizer with B. Kirchheim (Oxford University) of the Geometric Measure Theory Summer School, Luminy, France, September 2003.
Grants
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Crédit aux chercheurs, F.N.R.S., 2006-2007.
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Grant for hiring a post-doc for one year (Université catholique de Louvain, F.S.R.), 2005-2006.
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Crédit aux chercheurs, F.N.R.S., 2004-2006.
(Human) language skills
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French: mother tongue.
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English: fluent.
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Dutch: basic skills.
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Italian: vague recollections of working knowledge.
(Computer) language skills
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Working knowledge of Linux, Mac OS and Windows operating systems.
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Working knowledge of LaTeX related software.
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Some restricted programming experience with Assembly language (the good old time of the Commodore 64), Pascal, Basic, C, Tcl.
Erdos number
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3 (Erdos -> Mauldin -> Buczolich -> De Pauw).
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