
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: M3218C
Email: sadok.kallel [at] univlille.fr

Director of MIMS (Tunis, Tunisia).
Chief Editor of
The Graduate Journal of Mathematics.
Associate Editor
The Tunisian Journal of Mathematics.

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, UMRCNRS 8524).
I am right now a faculy at the American University of Sharjah AUS
in the UAE.

Founding Member of the
Southern Mediterranean University in Tunis.
Member of the Groupement de Recherche GDR 2875,
Topologie Algébrique et Applications.

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), nonlinear analysis (problems of Nbody type) and moduli spaces.
Instructive links about my area of research can be found here

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

Publications (starting with most recent)
 Combinatorial invariants of stratifiable spaces
pdf
Joint with W. Taamallah (2021).
To appear.
 Sholl topological descriptors for neuronal clustering and classification
pdf
Joint with P. Dlotko, A. Farhat, R. Khalil (2021).
To appear.
 On the embedding of a second order discrete dynamical system into a system of higher dimension
pdf
Joint with A. AlSalman and Z. Al Sharawi.
Discrete and Continuous dynamical systems Series B, vol 25, no. 11 (2020), 42574276.
 Thin Loop Groups
pdf
Joint with Moncef Ghazel.
European J. Math. 6; no 3 (2020), 864887.
 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), 19632028
 Homotopy groups of diagonal complements
pdf
Joint with Ines Saihi
Alg. Geom. Topol. 16 (2016) 29492980.
 The space of linear maps into a Grassmann manifold
pdf
Joint with P. Salvatore and W. Ben Hammouda
Forum Mathematicum Vol 25 (6), (2013), 11811216.
 The geometry and fundamental group of permutation
products and fat diagonals
pdf
Joint with Walid Taamallah
Canadian Journal of Math. Vol. 65 (3), (2013), 575599.
 Symmetric joins and weighted barycenters
pdf
Joint with with Rym Karoui.
Advanced Nonlinear Studies 11 (2011), 117143.
 Invariant spin structures on Riemann surfaces
pdf
Joint with
Denis Sjerve
Annales de la Faculté des Sciences de Toulouse Vol. XIX, n. 34,
(2010), 457476.
 Remarks on finite subset spaces pdf
Joint with
Denis Sjerve
Homology, Homotopy and Applications Vol. 11 (2009), No. 2, 229250.
 Symmetric products, duality and homological dimension of
configuration Spaces
pdf
Geometry and Topology Monographs 13 (2008) 499527.
 Symmetric products of two dimensional complexes
pdf
Joint with
Paolo Salvatore
Contemporary Mathematics 407 (2006), 147161.
 Rational maps and string topology
pdf
Joint with
Paolo Salvatore
Geometry and Topology 10 (2006) 15791606.
 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, 267287.
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)



Some colleagues who have had Postdocs with me at Lille:
 Filippo Callegaro
 Hossein Abbaspour
 Jonathan Scott
 Le Minh Ha
 Paolo Salvatore
