**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 now a postdoctoral researcher at the University of Oxford, UK, and I am funded by the National Physical Laboratory.

Before that, 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 research lies in the continuity of recent works developing "structure-aware" fitting algorithms, i.e., data fitting algorithms that take into account the structure of the data. The data points are here assumed to lie on a Riemannian manifold. During my PhD, 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.