Simone Sanna

ABOUT ME

I am a mathematician from Genoa, where I completed my undergraduate studies. I have completed my PhD at MaLGa under the supervision of Prof. Giovanni S. Alberti (awaiting final defense) and am currently a postdoctoral researcher at the University of Helsinki under the supervision of Prof. Matti Lassas.

EDUCATION

• Nov 2026 - Ongoing Technical Assistant, University of Helsinki, Finland.

• Nov 2023 - Oct 2026 PhD in Mathematics, University of Genoa, Italy.

• Sep 2021 - Oct 2023 MSc in Mathematics, University of Genoa, Italy. (Thesis title: Wavelets, Shearlets and Non-Linear Approximation)

• Sep 2018 - Jul 2021 BSc in Mathematics, University of Genoa, Italy. (Thesis title: Compressive Sensing)

RESEARCH INTERESTS

My research centers on nonlinear inverse problems for partial differential equations, with a particular emphasis on the Calderón problem. On one hand, I work on reconstruction methods, leveraging convex lifting techniques to reframe the Calderón problem and circumvent its inherent non-convexity. On the other, I am interested in understanding the fundamental limits of data acquisition. Specifically, how many experiments and measurements are genuinely required to recover an unknown parameter. A core theme of this work is exploring the role of randomization, which frequently proves to be a powerful mechanism for drastically reducing sample complexity.

RECENT AND FUTURE EVENTS

• Lecturer (together with Prof. L. Calatroni and C. Daniele) of the PhD school Computational Imaging & Learning, 27-31 Jul 2026, Montevideo, Uruguay

• Presenting a poster at FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 2026, 8-18 Jul 2026, Wien, Austria

• Speaker at The 15th AIMS Conference, 6-10 Jul 2026, Athens, Greece

• Speaker at GIMC SIMAI Young, 3-5 Jun 2026, Pisa, Italy

• Speaker at the INdAM Meeting-Inverse problems for pde and geometry, 25-29 May 2026, Cortona, Italy

• Presenting a poster at Italian Inverse problems & Imaging meeting, 19-21 Jan 2026, Genoa, Italy

• Speaker at AAIP 2025, 2-3 Oct 2025, Klagenfurt, Austria

• Presenting a poster at Workshop on Mathematical Signal Processing , 22-25 Sep 2025, Aachen, Germany

• Speaker at AIP2025, 28 Jul-1 Aug 2025, Rio de Janeiro, Brazil

• Speaker at Inverse Problems in Milan, 8-13 Jun 2025, Milan, Italy

OTHER ACTIVITIES

• Visiting Dr. Romain Petit at ENS Paris, 15-19 Jun 2026, Paris, France

• Organizer of the SIAM Chapters meeting for Young Researchers at PoliMi, 29-30 Jan 2026, Milano, Italy

• Organizer of the SIAM Student Chapter at the University of Genoa

PUBLICATIONS

1. G.S. Alberti, R. Petit, S. Sanna

A convex lifting approach for the Calderón problem

preprint (2025)

https://arxiv.org/abs/2507.00645

2. G.S. Alberti, D. Poletti, S. Sanna, M. Santacesaria

Analytic inverse problems with finitely many random measurements

preprint (2026)

https://arxiv.org/pdf/2608.14324