Alessandro Felisi

EDUCATION

• 05/2025 - PhD in Mathematics and Applications, University of Genoa (Italy)
  Thesis: Compressed sensing for inverse problems
  Supervisors: Prof. Giovanni S. Alberti and Prof. Matteo Santacesaria

• 02/2021 - MSc in Mathematics, University of Milan (Italy) - thesis work supervised by Prof. Luca Rondi

• 12/2018 - BSC in Mathematics, University of Milan (Italy)

RESEARCH INTERESTS

My research activity deals mainly with Inverse Problems. The analysis of the models associated to them employs tools from, among others, PDEs and Applied Harmonic Analysis. I am also interested in the question of sample complexity associated to inverse problems, namely how many measurements are needed to reconstruct a signal; the required tools for this line of research come from Compressed Sensing.

PUBLICATIONS 

1. A. Felisi
   Recovery guarantees for compressed sensing photoacoustic tomography
   preprint (2025)
   arXiv:2502.08846.
   
   

2. G. S. Alberti, A. Felisi, M. Santacesaria and S. I. Trapasso
   Compressed sensing for inverse problems II: applications to deconvolution, source recovery, and MRI
   preprint (2025)
   arXiv:2501.01929.
   
   

3. G. S. Alberti, A. Felisi, M. Santacesaria and S. I. Trapasso
   Compressed sensing for inverse problems and the sample complexity of the sparse Radon transform
   J. Eur. Math. Soc., online first (to be published in the upcoming issues)
   DOI:10.4171/JEMS/1617, arXiv:2302.03577.
   
   

4. A. Felisi, L. Rondi
   Full discretization and regularization for the Calderón problem
   J. Differ. Equ. 410 (2024), 513-577
   DOI:10.1016/j.jde.2024.07.040, arXiv:2112.11489.

UPCOMING EVENTS

• 16 December 2025
  Seminars in Analysis and Applications, Delft Institute of Applied Mathematics - TU Delft, Delft (Netherlands)
  Talk: TBA - Invited speaker.

CONFERENCES, SCHOOLS AND SCIENTIFIC TALKS

• 28 July - 01 August 2025
  12th Applied Inverse Problems Conference, FGV EMAp, Rio de Janeiro (Brazil)
  Talk: Compressed sensing for photoacoustic tomography - Invited speaker in special session.

• 09 - 11 June 2025
  Workshop: Approximation and learning in high dimensions, Université de Montréal (Canada)
  Poster: Compressed sensing for photoacoustic tomography.

• 10 April 2025
  Oberseminar, Institute for Applied Mathematics (IAM), Bonn (Germany)
  Talk: Compressed sensing for inverse problems - Invited speaker.
  
  

• 22 - 24 January 2025
  4th Young Researchers Workshop in Harmonic Analysis, Università di Milano (Italy)
  Talk: Compressed sensing for photoacoustic tomography on the sphere - Invited speaker.

• 16 - 20 December 2024
  The 14th AIMS Conference, NYU Abu Dhabi (UAE)
  Talk: Compressed sensing for photoacoustic tomography on the sphere - Invited speaker in special session.

• 23 - 27 September 2024
  C.I.M.E. Course: High-Dimensional Approximation - From Theoretical Foundations to Machine Learning and PDEs - Cetraro (Italy)
  
  

• 02 - 06 September 2024
  Summer school: Applied Harmonic Analysis and Machine Learning 2024 - Università di Genova (Italy)
  Local organizer.
  
  

• 23 - 26 July 2024
  2nd AMS-UMI Joint Meeting, Università di Palermo (Italy)
  Talk: Full discretization and regularization for the Calderón problem - Invited speaker in special session.
  
  

• 25 - 27 March 2024
  PhD²ays, Università di Milano (Italy)
  Talk: Compressed sensing for inverse problems - Invited speaker.
  
  

• 10 - 12 January 2024
  3rd Young Researchers Workshop in Harmonic Analysis, Università di Genova (Italy)
  Talk: Compressed sensing for inverse problems - Invited speaker.
  
  

• 18 - 22 September 2023
  Meeting of the Austrian Mathematical Society, Karl-Franzens-University, Graz (Austria)
  Talk: Compressed sensing for the sparse Radon transform.
  
  

• 4 - 8 September 2023
  11th Applied Inverse Problems Conference, University of Göttingen, Göttingen (Germany)
  Talk: Compressed sensing for the sparse Radon transform - Invited speaker in special session.
  
  

• 20 - 25 August 2023
  10th International Conference on Industrial and Applied Mathematics, Waseda University, Tokyo (Japan)
  Talk: Compressed sensing for the sparse Radon transform - Invited speaker in special session.
  
  

• 3 - 7 July 2023
  29th Nordic Congress of Mathematicians with EMS, Aalborg University (Denmark)
  Talk: Compressed sensing for the sparse Radon transform - Invited speaker in special session.
  
  

• 12 - 16 June 2023
  Ulysseus Spring School in PDEs (USSPDE), Sevilla (Spain)
  Talk: Full discretization and regularization for the Calderón problem - Invited speaker.
  
  

• 18 - 22 September 2022
  Second Conference of Young Applied Mathematicians in Arenzano, Arenzano, Genova (Italy)
  Talk: Generalized compressed sensing for inverse problems.
  
  

• 12 - 16 September 2022
  8th International Conference on Computational Harmonic Analysis, Ingolstadt (Germany)
  Talk: Sample complexity of ill-posed inverse problems via compressed sensing.
  
  

• 25 - 28 July 2022
  Summer school: Geometric Deep Learning - Università di Pescara (Italy)
  
  

• 30 May - 01 June 2022
  XLI Convegno di Analisi Armonica, Università di Genova (Italy)
  Talk: Generalized compressed sensing for inverse problems.