Theoretical physics, discretization of space-time onto a hypercube (that is a 4 Dimensional mesh) with periodic boundary conditions:
. Numerical simulation using Monte Carlo methods.
. Development of algorithms for operators ported onto machines with parallel architecture. The first was done onto a CM5 using Connection Machine FORTRAN (CMF), it was then extended using High Performance FORTRAN (HPF) on a network managed using Myrinet.
. Analysis of the physics for the subatomic particles physics (quarks and gluons).
. Study of the Quantum Chromodynamics (QCD) vacuum.
. Study of the mass and renormalization functions for the quark propagator using Wilson and overlap fermions.
. Study of the gluon propagator and establishment of the infra behavior of the propagator using improved actions and improved operators (this work was done in collaboration).
. Study of smoothing algorithms such as cooling, improved cooling, APE and improved APE smearing, AUS and improved smearing. This was done in the QCD vacuum in quenched QCD.
. Development of algorithms to smooth out the quantum fluctuations such as the cooling and smearing methods in the QCD vacuum, and establishment of the related rates of smoothing between the different smoothing algorithms. This was done using numerical methods to arrive at a non universal analytical formula relating the different algorithms with the corresponding numerical factors.
Simulation numérique sur architecture parallèle, développement de codes parallèles en f90/HPF:
. Development of scripts to submit jobs in a queue.
. Development of Makefile.
. Development of c-shell script to automate data analysis.
. Development of HPF code to implement improved actions and smoothing algorithms as well as for the analysis of the quark propagator in Lattice QCD.
Creation of parallel algorithm to generalize a masking procedure on a a 4 dimensional mesh (the lattice) which enables the porting of any gauge actions in SU(N) (Published in the Journal of Computational Physics).
Management of the numerical simulations on the available computational resources at the time:
. Management of the production simulations over a forecast period of time. The results were then published in international journals (Physical Review D).
Maintenance et gestion du développement des codes de développement.
Collaboration with other developers of the production codes.
Development of parallel algorithms.
Data analysis.
Visualization of the data using AVS Express.
Redaction of scientific papers published in international journals, and oral presentations to unfamiliar crowds of the research findings.
Particles physique, theoretical and mathematical physics.