sadok picture 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
E-mail: sadok.kallel [at]

Main Responsibilities Honorary Chairman of MIMS (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 CRM, and the Fields Institute in Toronto and PIMS at the University of British Columbia 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).

I am right now a faculy at the American University of Sharjah AUS in the UAE.

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. 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
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 Publications (starting with most recent)
  • Topological inference for dependent stationary random variables pdf
    Joint with Sana Louhichi (2021).
    To appear.
  • Combinatorial invariants of stratifiable spaces II pdf
    Joint with Faten Labassi (2022).
    To appear.
  • Combinatorial invariants of stratifiable spaces pdf
    Joint with Walid Taamallah (2021).
    To appear.
  • Sholl topological descriptors for neuronal clustering and classification pdf
    Joint with P. Dlotko, A. Farhat, R. Khalil (2022).
    Plos Computational Biology, vol 18 (6), 23pages.
  • On the embedding of a second order discrete dynamical system into a system of higher dimension pdf
    Joint with A. Al-Salman and Z. Al Sharawi.
    Discrete and Continuous dynamical systems Series B, vol 25, no. 11 (2020), 4257--4276.
  • Thin Loop Groups pdf
    Joint with Moncef Ghazel.
    European J. Math. 6; no 3 (2020), 864--887.
  • 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
  • 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.
Older publications can be found here
  • 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). (pdf)
  • Homotopy aspects of Poincaré duality
    Oberwolfach Reports 2006. (pdf)
Ph.D. Students
Post Docs Some colleagues who have had Postdocs with me at Lille:
  • Filippo Callegaro
  • Hossein Abbaspour
  • Jonathan Scott
  • Le Minh Ha
  • Paolo Salvatore