Francesca Bartolucci
Delft Institute of Applied Mathematics, TU Delft
Mekelweg 4, 2628 CD Delft, The Netherlands
f.bartolucci@tudelft.nl
I'm an assistant professor in the Analysis research group at the Delft Institute of Applied Mathematics, TU Delft. Before joining TU Delft, I was a postdoc at the Department of Mathematics at ETH Zürich in the research group of Prof. Rima Alaifari.
I obtained my PhD degree from the University of Genova under the supervision of Prof. Filippo De Mari and Prof. Ernesto De Vito with the thesis Radon Transforms: Unitarization, Inversion and Wavefront Sets.
My research interests include applied harmonic analysis, group representation theory, functional analysis of neural networks and their interactions with inverse problems.
My husband is also a mathematician! See Emanuele Naldi.
News - Upcoming Talks
I will be visiting the Department of Mathematics and Statistics at the University of Ottawa in September and October 2025, hosted by Augusto Gerolin
Apr 2023 - present: Assistant Professor, Delft Institute of Applied Mathematics, TU Delft
Mar 2020 - Mar 2023: Postdoctoral Researcher, Department of Mathematics, ETH Zürich
Nov 2016 - Feb 2020: PhD degree in Mathematics and Applications, University of Genova
Oct 2014 - Oct 2016: MSc degree in Mathematics, University of Genova
Sep 2011 - Sep 2014: BSc degree in Mathematics, University of Genova
Selected Publications & Preprints
A Lipschitz spaces view of infinitely wide shallow neural networks (with M. Carioni, J.A. Iglesias, Y. Korolev, E. Naldi, S. Vigogna), 2024.
Neural reproducing kernel Banach spaces and representer theorems for deep networks (with E. De Vito, L. Rosasco and S. Vigogna), 2024.
Unique wavelet sign retrieval from samples without bandlimiting (with R. Alaifari and M. Wellershoff). Proc. Amer. Math. Soc. Ser. B, 11:330-344, 2024.
F. Bartolucci, E. de Bézenac, B. Raonić, R. Molinaro, S. Mishra, R. Alaifari, Representation Equivalent Neural Operators: a Framework for Alias-free Operator Learning, NeurIPS 2023.
Phase retrieval of bandlimited functions for the wavelet transform (with R. Alaifari and M. Wellershoff). Appl. Comput. Harmon. Anal., 64:102-117, 2023.
Understanding neural networks with reproducing kernel Banach spaces (with E. De Vito, L. Rosasco and S. Vigogna). Appl. Comput. Harmon. Anal., 62:194-236, 2023.
Unitarization and Inversion Formulae for the Radon Transform between Dual Pairs (with G. S. Alberti, F. De Mari and E. De Vito). SIAM J. Math. Anal., 51(6):4356–4381, 2019.
The Radon Transform Intertwines Wavelets and Shearlets (with F. De Mari, E. De Vito and F. Odone). Appl. Comput. Harmon. Anal., 47(3):822-847, 2019.