Sadok Kallel Mathematics Faculty, American University of Sharjah and Laboratoire Painlevé, Lille1, France. Laboratoire Painlevé Université de Lille 1 Cité scientifique - Batiment M2 59655 - Villeneuve d'Ascq, France Office: M3-218C Fax: +33 3-20 43 43 02 E-mail: sadok.kallel [at] math.univ-lille1.fr Arxiv-front          Mathscinet          Topology Conferences          Images des Mathématiques          n-Category Café
Main Responsibilities	Director of the Mediterranean Institute for the Mathematical Sciences (Tunis, Tunisia). Chief Editor of The Graduate Journal of Mathematics. Associate Editor The Tunisian Journal of Mathematics.
Short Vitae	I got my BSc in Electrical Engineering from Michigan State University, then my Ph.D. in Mathematics from Stanford University. I spent some years of postdoc between the Centre de Recherche Mathematiques at Montreal, and the Fields Institute in Toronto. I then moved to University of British Columbia as a lecturer and a research fellow at the Pacific Institute for the Mathematical Sciences. In 2000 I was appointed at the University of Lille1, and became a member of the Laboratoire Painlevé (Unité Mixte de Recherche, UMR-CNRS 8524).
Affiliations	Founding Member of the Southern Mediterranean University in Tunis. Member of the Groupement de Recherche GDR 2875, Topologie Algébrique et Applications.
Research Area	My fields of mathematical research and interest are in Algebraic Topology (string topology, homotopy theory, manifold theory) and in classical Algebraic Geometry (Riemann surfaces). Recent research involves studying spaces of configurations on manifolds and their analogs; like permutation products, finite subset spaces and barycenter spaces. A common thread in much of my research is the topology of function spaces like loop spaces, holomorphic mapping spaces and spaces of embeddings. These are topics with applications to homotopy theory, mathematical physics (gauge theory, sigma models), non-linear analysis (problems of N-body type) and moduli spaces. Instructive links about my area of research can be found here What is Algebraic Topology Cent ans de Topologie Algebrique Mathematicians on Mathematics and its Beauty
Other Interests	I have a strong interest in urban planning and in environment protection (mostly pertaining to Tunisia). I write newspaper articles from time to time. You can read me here
Research Papers	Recent Publications Thin Loop Groups pdf Joint with Moncef Ghazel. To appear The resonant boundary Q curvature and boundary weighted barycenters pdf Joint with Mohameden Ahmedou and Cheikh Ibrahim. To appear A topological join construction and the Toda system on compact surfaces of arbitrary genus pdf Joint with Aleks Jevnikar and Andrea Malchiodi. Analysis and PDEs, vol 8, no. 8 (2015), 1963--2028 On the contractibility of symmetric smash products and barycenter spaces pdf Preprint Homotopy groups of diagonal complements pdf Joint with Ines Saihi Alg. Geom. Topol. 16 (2016) 2949--2980. The space of linear maps into a Grassmann manifold pdf Joint with P. Salvatore and W. Ben Hammouda Forum Mathematicum Vol 25 (6), (2013), 1181--1216. The geometry and fundamental group of permutation products and fat diagonals pdf Joint with Walid Taamallah Canadian Journal of Math. Vol. 65 (3), (2013), 575--599. Symmetric joins and weighted barycenters pdf Joint with with Rym Karoui. Advanced Nonlinear Studies 11 (2011), 117--143. Invariant spin structures on Riemann surfaces pdf Joint with Denis Sjerve Annales de la Faculté des Sciences de Toulouse Vol. XIX, n. 3-4, (2010), 457--476. Remarks on finite subset spaces pdf Joint with Denis Sjerve Homology, Homotopy and Applications Vol. 11 (2009), No. 2, 229--250. Symmetric products, duality and homological dimension of configuration Spaces pdf Geometry and Topology Monographs 13 (2008) 499-527. Symmetric products of two dimensional complexes pdf Joint with Paolo Salvatore Contemporary Mathematics 407 (2006), 147--161. Rational maps and string topology pdf Joint with Paolo Salvatore Geometry and Topology 10 (2006) 1579--1606. On the group of automorphisms of cyclic covers of the Riemann sphere pdf Joint with Denis Sjerve Math. Proc. Camb. Ph. Soc. 138 (2005), no. 2, 267--287. Older publications can be found here
Vulgarisation	Some remarks on symmetric products of curves unpublished little paper (13 pp) (pdf) Espaces de modules de courbes et la conjecture de Mumford Actes du Colloque annuel de la société mathématique de Tunisie (11pp). (ps) (pdf) Homotopy aspects of Poincaré duality Oberwolfach Reports 2006. (pdf)
Recent Conferences	Newer conference I am organizing are on the MIMS website. Some older conferences below. Operads and Configuration Spaces, June 18-22, 2012 School on Characteristic Classes with Michael Weiss, June 2007. Ecole "Espaces de Configurations", Lahore, Pakistan, February 2007.
Enseignement	Notes de Cours M202- SPI Calcul Differentiel, Fonctions de Plusieurs Variables. Licence Aménagée Exos, Interros et Corrigés Une invitation à la Topologie Petit cours de Maitrise, Ecole Polytechnique de Tunis (20p)
Ph.D. Students	Faten Labassi. November 2013. Walid Ben Hammouda. Soutenance Novembre 2011. Thèse sur Topologie des fonctions rationnelles d'une sphere de Riemann dans une Grassmannienne Walid Taamallah . Soutenance Juillet 2011. Thèse sur Permutation products and finite subset spaces Stylian Zanos. Soutenance Novembre 2009. Thèse sur Méthodes de scindements homologiques en topologie et en géométrie Rym Karoui.
Post Docs	Some colleagues who have had Postdocs with me at Lille: Filippo Callegaro Hossein Abbaspour Jonathan Scott Le Minh Ha Paolo Salvatore