Email: prenom.nom@univ-lille.fr where prenom=maeva and nom=ostermann
Activity : Since October 2023, I have been a CNRS postdoctoral researcher at the Paul Painlevé Laboratory, at the University of Lille. Previously, I completed my PhD in mathematics at Université Laval in Québec, Canada, under the supervision of Thomas Ransford.
Rechearch topics : My research focuses on functional analysis, complex analysis, and operator theory. In particular, I have worked on the Crouzeix conjecture, Kreiss-type inequalities, and, more recently, on the dynamics of Toeplitz operators.
List of my publications :
A Kreiss Type Inequality for Rational Functions on General Domains, Complex Analysis and Operator Theory, 2022 (lien vers l'article)
Pseudospectra and simultaneous power control, Linear Algebra and its Applications, 2023 (lien arxiv)
On the image of the mean transform, with Fadil Chabbabi, Procedings of the AMS, 2023 (lien arxiv)
An abstract approach to the Crouzeix Conjecture, with Raphaël Clouâtre and Thomas Ransford, Journal of operator theory, 2023 (lien arxiv)
The Aluthge and the mean transforms of m-isometries, with Fadil Chabbabi, Moroccan J. of Pure and Appl. Anal., 2024 (lien vers l'article)
Introduction to the dynamical properties of Toeplitz operators on the Hardy space of the unit disc, with Emmanuel Fricain, accepted for publication in Concrete operators (lien arXiv)
Hypercyclicity of Toeplitz operators with smooth symbols, with Emmanuel Fricain and Sophie Grivaux, submitted (lien arXiv)
Schauder basis with finite Blaschke products, with Emmanuel Fricain, Javad Mashreghi and Mostafa Nasri, submitted (lien arXiv)
Phd thesis link (in french).