Guillaume Roy-Fortin
I am a teaching professor of mathematics at the Ecole de technologie superieure.
Previously, I was a Ralph Boas Assistant Professor in the Department of Mathematics at Northwestern. In 2015, I completed my Ph.D. at Universite de Montreal
under the generous supervision of Iosif Polterovich. I also have a background in psychology.
guillaume.roy-fortin at etsmtl.ca
Curriculum Vitae.
Research
My research interests fall into two general directions.
First, I study eigenfunctions of elliptic operators on Riemannian manifolds, in particular the properties of their nodal sets.
I am also interested in the mathematical aspects underlying machine learning.
Course MTI881: Mathematical Aspects of Deep Learning
I have designed a course covering various mathematical themes that play a role in machine learning.
The lecture notes (in french) are available here
and the exercises with solutions here.
These documents are still under construction and you may report any errors or typos by emailing the address indicated above.
SEG Seminar, special series: capstone summary (2023-2024)
A series of public talks presenting the research interests of teaching masters during their graduate studies.
The schedule and abstracts of the presentations are
available here.
SEG Seminar: special series on the Millennium Problems (2022-2023)
The schedule of talks devoted to the famous list of 7 problems compiled by the Clay Institute is available here.
Seminar: mathematics of machine learning (2018-2019)
I am organizing a series of talks on the mathematical aspects of machine learning, in particular deep learning.
The schedule of these talks can be found here.