**Contact information: **

Mathematical Institute, University of Oxford

Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford

OX2 6GG

Estelle Massart

** Postdoctoral researcher in applied mathematics, University of Oxford and National Physical Laboratory, UK **

I am a postdoctoral researcher at the Mathematical Institute , University of Oxford, UK, where I am funded by the National Physical Laboratory, and working on research projects related to optimization and machine learning.

I graduated as an engineer in applied mathematics at UCLouvain , Belgium, in 2015, and got a PhD in mathematical engineering at UCLouvain in 2019, under the supervision of Julien Hendrickx and Pierre-Antoine Absil. During my PhD, I was a teaching assistant in the Mathematical Engineering Department (which is part of the ICTEAM Institute).

My PhD research was in the continuity of recent works developing "structure-aware" fitting algorithms, i.e., data fitting algorithms that take into account the geometric structure of the data. The data points are here assumed to lie on a Riemannian manifold. I have mainly focused on two problems: averaging a set of positive-definite matrices and fitting a curve to a set of fixed-rank positive-semidefinite matrices. My PhD research has recently been awarded the XXI Alston Householder prize .

Research interests:

- Optimization
- Deep neural networks (optimization landscape, generalization properties)
- Riemannian geometry, matrix manifolds
- Data fitting on manifolds
- Applications of Riemannian geometry, including biomedical signal processing, action recognition and image processing, model order reduction