My research is centered on the combinatorial and algebraic structures associated with walks (a.k.a. paths) on graphs and their applications
throughout mathematics, but also in computer science and physics.
My long term goal is to approach the long standing open problem of enumerating self-avoiding polygons on infinite regular
lattices via a completely algebraic route, by extending techniques from number theory to walks.
I am always keen on discussing research and participating in research collaborations
on a wide variety of subjects, from quantum mechanics to
applied network analysis.
I am the coordinator of the ANR (French National Research Agency) research project ALCOHOL (ALgebraic COmbinatorics of Hikes On Lattices)
Keywords : posets, Cartier-Foata monoids, self-avoiding walks, self-avoiding polygons, Hopf algebras
ORCID : 0000-0003-3025-8750
ResearchGate : here
Google scholar : here
Academia : here
All of my publications are available on the arXiv.
Raw molecular data pertaining to the cationic tin oxo-cluster used in "General solutions for quantum dynamical systems driven by time-varying Hamiltonians: applications to NMR" arXiv 1905.04024, provided by Dr. F. Ribot, is available here
Molecular dynamics movies from the same work: Movie 1, Movie 2, Movie 3, Movie 4, Movie 5, Movie 6 and the colour bar
Counting simple cycles and simple paths on graphs
For counting simple cycles of any length on any (weighted directed) graph: CycleCount
For counting simple paths of any length on any (weighted directed) graph: PathCount
For counting both simple cycles and simple paths at the same time: CyclePathCount
PYTHON versions: here
Machine learning on structured datasets
All-cycles and paths kernel for automatic graph classification tasks: here
Weisfeiler-Lehman optimal assignment on graphs (MATLAB): here
Weisfeiler-Lehman optimal assignment on graphs (JAVA): here
Loop-centrality on large networks
Algorithms determining the asymptotic fraction of network flows passing through selected loops (MATLAB): here and there.
Future presentation(s) and visit(s):
Teaching / Enseignement
I completed two MSc degrees from the University of Arizona and Institut d'Optique Graduate School in 2009 (Diplôme d'Ingénieur). That same year I was awarded a Scatcherd European scholarship
to fund my DPhil in mathematical-physics from Keble College, Oxford, which I completed in 2014 under the direction of Prof. Dieter Jaksch. I received a University of Oxford Thesis Prize for my thesis "A graph theoretic approach to matrix functions and quantum dynamics".
Following my DPhil, I held a postdoc position at Oxford funded by the successful EPSRC Grant EP/K038311/1 obtained together with Prof. Jaksch, Dr. Stephen Clark and Dr. Sarah Al-Assam. In 2015, I was awarded a three years Research Fellowship by the Royal Commission for the Exhibition of 1851 and chose to undertake it in the group of Prof. Richard Wilson, at the University of York.
I am a lecturer (Maître de Conférences) of algebraic combinatorics at the Université du Littoral Côte d'Opale, since September 2018.
My full CV is available here.