Guillaume Olikier

Expertise

Continuous optimization, numerical analysis

Biography Teaching & PhD

Guillaume Olikier is a postdoctoral researcher (Bernoulli Instructor) within the Institute of Mathematics at EPFL. He received an engineering degree in applied mathematics (2017) and a PhD in engineering sciences and technology (2023) from UCLouvain, Louvain-la-Neuve, Belgium. From 2023 to 2025, he was a postdoctoral researcher (Starting Research Position) at the Inria Centre at Université Côte d’Azur, Sophia Antipolis, France . His main research area is numerical optimization, with a particular interest in the design and analysis of optimization methods on stratified sets based on tools from variational analysis. Such sets arise notably in the presence of sparsity or low-rank constraints, which are ubiquitous in numerous applications such as compressed sensing and matrix completion.

Professionals experiences

Postdoctoral Researcher

Postdoctoral researcher in the group of Xavier Pennec within the Epione Project Team.

2023–2025

Inria Centre at Université Côte d'Azur

Assistant

PhD student within the ICTEAM Institute, supervised by P.-A. Absil and Lieven De Lathauwer (KU Leuven), and teaching assistant in applied mathematics within the Louvain School of Engineering. Topics taught as a teaching assistant include real, complex, functional, and numerical analysis, discrete mathematics, probability theory, and modelling and analysis of dynamical systems.

2017–2023

UCLouvain

Education

PhD in Engineering Sciences and Technology

| The thesis, entitled “First-order optimization on stratified sets: theory and algorithms”, focuses on the design and analysis of optimization methods applicable notably in the presence of sparsity or low-rank constraints.

2017 – 2023 UCLouvain

Master in Mathematical Engineering

| General formation in applied mathematics. The studied topics include optimization models and methods, modelling and analysis of dynamical systems, numerical analysis, multilinear algebra, discrete mathematics, and financial mathematics.

2015 – 2017 UCLouvain

Bachelor in Engineering

| General formation in engineering and applied sciences providing a background in mathematics, physics, chemistry, and computer science.

2012 – 2015 UCLouvain

Teaching & PhD

Courses

Numerical analysis

MATH-251(c)

This course introduces and analyzes numerical methods for solving mathematical problems such as linear and nonlinear systems, approximation of functions, integration and differentiation, as well as differential equations.

Numerical analysis

MATH-251(a)

This course presents numerical methods to solve mathematical problems such as systems of linear and nonlinear equations, function approximation, integration and differentiation, and differential equations.