List of publications

• C. De Lellis, F. Glaudo, A. Massaccesi, D. Vittone, Besicovitch's 1/2 problem and linear programming, Preprint, 2024.
• N. De Nitti, F. Glaudo, T. König, Non-degeneracy, stability and symmetry for the fractional Caffarelli-Kohn-Nirenberg inequality, Preprint, 2024.
• G. Antonelli, F. Glaudo, Nonexistence of isoperimetric sets in spaces of positive curvature , Journal f\"ur die Reine und Angewandte Mathematik. [Crelle's Journal] 812}, 211-228, 2024.
• F. Glaudo, On the Isoperimetric Profile of the Hypercube, Mathematische Annalen, 2023.
• A. Figalli, F. Glaudo, An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows - Second Edition, EMS Textbooks in Mathematics, vi + 146, 2023.
• F. Glaudo, N. Kravitz, Reconstructing a set from its subset sums: 2-torsion-free groups, Discrete Analysis, 2024.
• A. Ciprietti, F. Glaudo, On the determination of sets by their subset sums, Preprint, 2023.
• F. Franceschini, F. Glaudo, Expansion of the fundamental solution of a second-order elliptic operator with analytic coefficients, Proceedings of the London Mathematical Society 127, 1028-1056, 2023.
• F. Glaudo, Minkowski inequality for nearly spherical domains, Advances in Mathematics 408, 2022.
• E. Cinti, F. Glaudo, A. Pratelli, X. Ros-Oton, J. Serra, Sharp quantitative stability for isoperimetric inequalities with homogeneous weights, Transactions of the American Mathematical Society 375, 1509-1550, 2022.
• A. Figalli, F. Glaudo, An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows, EMS Textbooks in Mathematics, vi + 136, 2021.
• A. Figalli, F. Glaudo On the sharp stability of critical points of the Sobolev inequality Archive for Rational Mechanics and Analysis 237, 201-258, 2020.
• L. Ambrosio, F. Glaudo, D. Trevisan On the optimal map in the 2-dimensional random matching problem Discrete and continuous dynamical systems - A 39, 7291-7308, 2019.
• L. Ambrosio, F. Glaudo Finer estimates on the 2-dimensional matching problem Journal de l’École polytechnique — Mathématiques 6, 737-765, 2019.
• F. Glaudo On the c-concavity with respect to the quadratic cost on a manifold Nonlinear Analysis 178, 145-151, 2019.

Unpublished Notes

• F. Glaudo, A Compact Book in Measure Theory

Talks

• Geometry and Topology Seminar, December 2024, Caltech, Pasadena
• Regularity of Nonlinear Equations and Free Boundary Problems (JMM session), October 2024, Albany
• Short talks by Postdoctoral Members, September 2024, Institute for Advanced Study, Princeton
• Analysis Seminar, March 2024, EPFL, Lausanne
• Analysis Seminar, February 2024, John Hopkins University, Baltimore
• Analysis Seminar, January 2024, Geoergia Tech, Atlanta
• Advances in Analysis, PDE and Related Applications (JMM session), January 2024, San Francisco
• Workshop on Degenerate and Singular Diffusion, October 2023, ICMAT, Madrid
• Asymptotic Geometric Analysis Seminar, October 2023, Online
• Geometric Analysis and Topology Seminar, September 2023, Courant Institute, New York
• Analysis Seminar, May 2023, Princeton University, Princeton
• New York Number Theory Seminar, March 2023, CUNY, New York
• Analysis Seminar, March 2023, University of Texas at Austin, Austin
• Analysis and Mathematical Physics seminar, October 2022, Institute for Advanced Study, Princeton
• Short Talks by Postdoctoral Members, September 2022, Institute for Advanced Study, Princeton
• Regularity for nonlinear diffusion equations. Green functions and functional inequalities (conference), June 2022, Universidad Autónoma de Madrid - ICMAT, Madrid
• Calculus of Variations and Functional Inequalities (One-day workshop), May 2022, FAU Erlangen-Nürnberg, Erlangen
• Quantization, location, sampling and matching (conference), March 2022, Lagrange Center, Paris
• Competitive Programming Workshop, ETH, March 2022, Zurich
• Geometry seminar, December 2021, Stanford University, Online
• A Pisan workshop in Geometric Analysis (Conference), October 2021, Centro di Ricerca Matematica De Giorgi, Pisa
• Analysis Seminar, June 2021, Universitat Autònoma de Barcelona and Universitat de Barcelona, Online
• Groupe de Travail modélisation stochastique del LPSM, March 2021, University Paris Diderot and Sorbonne Université, Online
• Analysis and PDE Seminar, June 2020, Instituto de Matemática Pura e Aplicada, Online
• Stochastic analysis seminar, February 2020, Imperial College, London
• Optimal Transport in Analysis and Probability (conference), June 2019, Erwin Schrödinger Institute, Vienna
• Non-smooth Geometry and Optimal Transport (One-day workshop), June 2018, Scuola Normale Superiore, Pisa

Advising students and organization

• May-July 2024. Advisor of Brandon Cho for the Summer Undergraduate Research Program.
• September 2022-May 2023. Organizer of the Analysis Seminar at IAS (together with C. De Lellis and B. Bringmann.
• June 2022-October 2022. Advisor of A. Ciprietti (together with M. D'Adderio) for his bachelor thesis at Università di Pisa.
• October 2020-February 2021. Supervised A. Shrey for a Reading Course at ETH Zurich. The student gave a 4 hours talk on a recent research paper he studied.
• October 2020. I organized a minicourse for graduate students of ETH Zurich on Young measures (taught by F. Franceschini).
• October-December 2019. Organized a weekly study group for PhD students of ETH Zurich on the paper The Inverse Mean Curvature Flow and the Riemannian Penrose Inequality by G. Huisken and T. Ilmanen.
• January-June 2019. Co-supervised with A. Figalli the Semester Project of L. Silini (equivalent to a bachelor thesis) at ETH Zurich.