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The Antonio Ambrosetti Medal

The Antonio Ambrosetti medal is awarded in memory of Antonio Ambrosetti, who was one of the first three Professors at SISSA since the foundation of the School in 1980, then appointed Professor at Scuola Normale Superiore in the years 1986-1998,  and subsequently again Professor at SISSA since 1998 to 2012. The Medal is awarded by SISSA, with the support of Scuola Normale   Superiore, Accademia Nazionale dei Lincei, Unione Matematica Italiana (UMI). Antonio Ambrosetti made several groundbreaking contributions to mathematical analysis, ranging from critical point theory, variational and topological methods, bifurcation theory, with applications in Hamiltonian systems and geometry. He is one of the founders with Giovanni Prodi of the Italian school of nonlinear analysis, with far-reaching influences in various areas of Mathematics. Simple and powerful geometric ideas standing at the basis of his approach allowed remarkable, and sometimes unexpected developments with numerous applications in differential equations. The medal recognizes exceptionally promising young researchers who have already made outstanding contributions to the fields of nonlinear analysis.

The Ambrosetti medal is awarded every two years starting from 2021.

The statutes of the Antonio Ambrosetti medal can be found here. The information on the procedure, deadlines and other regulations is listed here.

Winners 2023

The medal will be awarded during the conference "50 years of Mountain Pass Theorem".

To Alessandro Carlotto for groundbreaking contributions to several different areas of geometric analysis, such as geometric relativity, minimal surface theory, and the study of manifolds with positive scalar curvature. In particular, we note his work with R. Schoen concerning the construction of new classes of initial data sets for the Einstein constraint equations, the solutions of which exhibit a gravitational shielding phenomenon. His use of hard gluing theorems in nonlinear analysis led to the existence of metrics of a new type that are exactly Euclidean outside some given cones. In other works, Carlotto helped advance our understanding of free-boundary minimal surfaces. He did so both with sophisticated min-max procedures and implicit function arguments, constructing new examples of minimal surfaces with prescribed genus and number of boundary components.

To Javier Gomez-Serrano for fundamental contributions to long standing and important problems in fluid dynamics. In particular with collaborators, he used a novel mixture of analysis with delicate PDE estimates and computer assisted proofs to establish for the first time the existence of solutions of the incompressible irrotational Euler equations that have smooth initial data but develop singularities in finite time. In brief, they show water waves can develop splash and splat singularities. Among many other results, he with Buckmaster and others introduced new methods involving the use of physics-informed neural nets to find asymptotically self-similar breakdown solutions for several fluid dynamics equations. In yet another direction, Gomez-Serrano with collaborators use a complicated mix of nonlinear and numerical  analysis to construct the first family of global in time, periodic and quasi-periodic, smooth solutions of the surface quasigeostrophic equations.

Selection Committee:

Prof. Massimiliano Berti  (SISSA)
Prof. Vittorio Coti Zelati  (Università Federico II, Napoli)
Prof. Andrea Malchiodi  (SNS)
Prof. Filomena Pacella  (UMI)
Prof. Paul Rabinbowitz (Accademia dei Lincei)

SISSA extends its congratulations to this year’s prize winners and for their continued contributions to mathematics.
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