Giovanni S. Alberti
D.Phil. (Oxon.)

Links

Collaborators

I am constantly looking for motivated PhD students and Postdocs (funded by the ERC StG SAMPDE): if you are interested in working with me at MaLGa please email me a CV, a motivation letter, and the contacts of at least two referees.

Recent and future events

• Speaker at Inverse Problems in the Physical Sciences, Puerto Varas, Chile, January 15-18, 2024
• Speaker at Statistics Seminar, University of Cambridge, February 16, 2024
• Speaker at SIAM Conference on Uncertainty Quantification, Trieste, Italy, February 27-March 1, 2024
• Speaker at International Conference on Elliptic and Parabolic Problems: GAETA 2024, Gaeta, Italy, May 20-25, 2024
• Speaker at AMS-UMI Joint Meeting, University of Palermo, July 23-26, 2024
• Speaker at Statistical aspects of non-linear inverse problems, University of Cambridge, September 17-19, 2024
• Speaker at Deep Learning for PDE-based Inverse Problems, Oberwolfach, October 27 - November 1, 2024
• Speaker at Harmonic Analysis E-Seminars, November 13, 2024
• Speaker at Applied Mathematics Seminar, Mathematics Institute, University of Warwick, November 29, 2024
• Speaker at Tomography Across the Scales Meeting, Obergurgl University Center, Austria, December 3-6, 2024
• Speaker at Data-Enabled Science Seminar, Department of Mathematics, University of Houston, December 6, 2024
• Speaker at AIMS conference, NYU Abu Dhabi, December 16-20, 2024
• Speaker at Advanced Numerical Methods for Machine and Deep Learning, University of Ferrara, January 20-25, 2025
• Speaker at Geilo Winter Schools in eScience, Geilo, Norway, January 19-24, 2025

Research interests

Partial differential equations, inverse problems, applied harmonic analysis, compressed sensing, mathematical imaging, machine learning.

Publications

orcid.org/0000-0002-8612-3663

Editor

Selected talks

• Sampling in inverse problems  - Harmonic Analysis E-Seminars, 2024.
• Continuous generative neural networks  - BASP 2023.
• Compressed sensing for the sparse Radon transform  - Inverse problems in the desert, NYU Abu Dhabi, 2022.
• Regularity theory for Maxwell's equations  - Online Seminar on Mathematical Methods in the Theory of Electromagnetism, 2021.
• Adversarial deformations for DNNs  - Inverse Problems and Machine Learning workshop, CRM Montreal, 2019.
• Combining the Runge approximation and the Whitney embedding theorem in hybrid imaging  - Reconstruction Methods for Inverse Problems, BIRS, Canada, 2019.
• Mathematical analysis of ultrafast ultrasound imaging  - IPMS 2018, Malta.
• Calderón's Inverse Problem with a Finite Number of Measurements  - Inverse Problems, Imaging and PDEs, IAS, Hong Kong, 2018.
• Mathematical analysis of ultrafast ultrasound imaging  - Applied Inverse Problems Conference, Zhejiang University, Hangzhou, 2017.
• Non-zero constraints in quantitative coupled physics imaging  - Quantitative Tomographic Imaging - Radon meets Bell and Maxwell, Ricam, Linz, 2017.
• Disjoint sparsity for signal separation and applications to hybrid imaging inverse problems  - UCL Seminar, 2015.
• Using multiple frequencies to enforce non-zero constraints in PDE and applications to hybrid imaging problems  - "Inverse Problem Seminar", IHP, Paris, 2015.
• Two-dimensional reproducing formulae arising from the metaplectic representation and their discretisation  - "Real and complex manifolds: geometry, topology and harmonic analysis", Scuola Normale Superiore di Pisa, 2015.
• Elliptic regularity theory applied to time harmonic Maxwell's equations - "6^th South West Regional PDE Winter School", University of Oxford, 2014.

Videos

• Compressed sensing for the sparse Radon transform  - "Leveraging Model- and Data-Driven Methods in Medical Imaging", BIRS 2023.
• Regularity theory for Maxwell's equations  - Cardiff Analysis Seminar, 2021.
• Infinite-dimensional inverse problems with finite measurements  - OneWorld IMAGINE seminar, 2021.
• Infinite-dimensional inverse problems with finite measurements  - "Statistical aspects of non-linear inverse problems", BIRS, Canada, 2021.
• Infinite-dimensional inverse problems with finite measurements  - "IFIP TC7 Conference on System modeling and optimization", 2021.
• Frames of exponentials and compressed sensing photoacoustic tomography  - "Inverse Problems for PDEs: A one day webinar in occasion of the 65th birthday of Sergio Vessella", 2020.
• Combining the Runge approximation and the Whitney embedding theorem in hybrid imaging  - "Reconstruction Methods for Inverse Problems", BIRS, Canada, 2019.
• Disjoint sparsity for signal separation and applications to hybrid imaging inverse problems  - "Hybrid Methods in Imaging", BIRS, Canada, 2015.
• Using multiple frequencies to satisfy local constraints  - Course "Problèmes inverses hybrides" by Yves Capdeboscq, Collège de France, Paris, 2014.
• Using multiple frequencies to satisfy local constraints in PDE and applications to hybrid problems  - "Problèmes inverses et imagerie", IHP Paris, 2014.