Department of Mathematics
Faculty of Science
University of Sherbrooke
2500 boulevard de l'Université
Sherbrooke, Quebec, J1K 2R1
E-mail: marc dot ethier at usherbrooke dot ca
I am currently a Ph.D. student in mathematics working in the Computational Topology Research Group at the University of Sherbrooke's Department of Mathematics, under the supervision of Tomasz Kaczynski and Madjid Allili. I previously completed in July 2006 a Master's degree in mathematics at the University of Ottawa under the supervision of Yves Bourgault. My master's research was in the field of mathematical biology, more precisely the bidomain model used in cardiac electrophysiology. My Master's Thesis compares several numerical time-stepping schemes to solve this model's equations with the finite element method.
For my doctoral research, I am developing and implementing algorithms to detect and classify critical components of functions defined on discrete cubical grids in arbitrary dimensions. This should in time allow us to gain topological information about numerical datasets (digital images, for example). See the poster I presented in Berlin in June 2009 at EuroVis 2009.
I am currently in Bologna, Italy, to work with researchers from the University of Bologna, the University of Modena and Reggio Emilia and the ARCES (Centro di Ricerca sui Sistemi Elettronici per l'Ingegneria dell'Informazione e delle Telecomunicazioni), under the supervision of Patrizio Frosini and Massimo Ferri, on a project aiming to develop algorithmic methods to compute rank invariants for a multi-filtration of topological spaces. This will allow obtaining information about the persistence of topological artifacts across several spaces, each larger than the preceding one.
Here is my curriculum vitæ (PDF, only in French for now).