El matemàtic argentí va rebre aquest dimecres el prestigiós Premi Abel, concedit per l’Acadèmia de les Ciències i les Lletres Noruega. És la primera vegada que el Premi Abel es concedeix a una persona d’Amèrica Llatina. El premi li ha estat concedit per “les seves contribucions fonamentals en la teoria de la regularitat per Equacions en Derivades Parcials no lineals, inclosos els problemes de frontera lliure i l’equació de Monge-Ampère”. És precisament en aquests temes que ha col·laborat amb els investigadors Xavier Cabré (ICREA-UPC-CRM) i Xavier Ros Oton (ICREA-UB-CRM).
Caffarelli va ser mentor i col·laborador de X. Ros-Oton durant els seus anys de postdoc a la Universitat de Texas a Austin (2014-2017). Les contribucions destacades pel jurat en EDPs i en particular en els problemes de frontera lliure i teoria de la regularitat, són els camps d’estudi de X. Ros-Oton des de fa anys. De fet, en l’article publicat per Nature abans d’ahir, a on expliquen els treballs de Caffarelli, citen el treball de X. Ros-Oton amb Alessandro Figalli (medalla Fields 2018) i Joaquim Serra sobre el problema de Stefan, on perfeccionen els resultats de Caffarelli. L’article, que ha estat acceptat fa pocs dies al Journal of the American Mathematical Society s’explica de manera més divulgativa en aquest article de Quanta Magazine.
Caffarelli també va ser mentor i col·laborador de X. Cabré. La seva col·laboració va començar abans que X. Cabré acabés la seva tesi i en van sortir varis treballs en equacions el·líptiques completament no-lineals. Van escriure conjuntament el llibre ‘Fully Nonlinear Elliptic Equations’ que va ser AMS best-seller. Una altra col·laboració destacada és la seva recerca sobre equacions no-convexes.
CRM Comm Team
Anna Drou | Pau Varela
CRMComm@crm.cat
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CRM July Newsletter
CAVARET 2 brings together 83 researchers on curves and abelian varieties at the Universitat de Barcelona
The second edition of CAVARET, "Curves, Abelian VArieties and RElated Topics", took place at the Faculty of Mathematics and Computer Science of the Universitat de Barcelona from 13 to 17 July 2026. Sixteen invited lectures and ten posters brought together 83...
Mathematics on board: CRM’s demand forecasting model enters service on Barcelona’s H12 corridor
The H12 has run along Gran Via for years. What TMB switched on in July is the set of upgrades designed for it inside eBRT2030, a Horizon Europe project testing electric Bus Rapid Transit in six European cities. Behind it, forecasting passenger demand at every stop...
Dídac Gil Rams defends his doctoral thesis on the splitting of separatrices in generalized standard maps
Supervised by Inmaculada Baldomá and Pau Martín, the thesis proves the existence of chaotic dynamics in a broad family of area-preserving maps and combines classical analysis with computer-assisted proof. The defence took place on 3 July 2026 at the FME (UPC).Dídac...
How to Protect Bacteriophages Without Trapping Them? Mathematics to Improve an Alternative to Antibiotics
Bacteriophages — viruses capable of infecting and destroying bacteria — are considered one of the most promising alternatives to tackle the growing problem of antibiotic resistance. However, for these treatments to work, phages must overcome several obstacles before...
The CRM hosts nine international students for the 10th Barcelona International Youth Science Challenge
Nine secondary school students from six countries spent eight days at the CRM in July, working through four minicourses on fluid dynamics, perturbation methods, iteration and chaos, and randomness from Markov chains to machine learning, plus a session on how...
The Mathematics Behind the Three CRM Lectures at ICM 2026
Three CRM-affiliated researchers, Xavier Tolsa (plenary speaker), Xavier Cabré and Joaquim Ortega-Cerdà, lectured at the ICM 2026 in Philadelphia. Cabré surveyed the regularity of stable solutions to reaction-diffusion equations, including his optimal dimension-9...
Crossing Dimensional Frontiers: a breakthrough in the shape of stable solutions to semilinear elliptic equations
More than twenty years of efforts were required to solve a central problem in the theory of partial differential equations. A body of work developed over decades —and recognized with the Frontiers of Science Award (2023)— culminates in the resolution of an open...
Anna Florio, third CRM Chair of Excellence: billiards, friction, and the value of staying
The dynamicist Anna Florio (CEREMADE, Université Paris Dauphine-PSL) spends the summer at the CRM as the centre's third María de Maeztu Chair of Excellence. She is working with Immaculada Baldomà and Tere Martínez-Seara on billiards in the analytic setting, and on 22...
Hong Wang wins the Fields Medal, a year after her Kakeya lecture at the CRM
Hong Wang (NYU Courant and IHES) has received the Fields Medal at the International Congress of Mathematicians in Philadelphia, alongside Yu Deng (University of Chicago), John Pardon (Stony Brook University) and Jacob Tsimerman (University of Toronto). In June 2025,...
A Conference on Nonlinear PDEs on the Occasion of Xavier Cabré’s Anniversary
One anniversary, eight speakers, July and PDES (People, Discussions, Emotions and Summer) in BarcelonaThe conference Nonlinear PDEs was held at the Institut d'Estudis Catalans (IEC) on 6 and 7 July 2026. While PDEs usually stand for Partial Differential Equations, the...
Jezabel Curbelo receives the 2026 ECCOMAS Jacques-Louis Lions Award
Jezabel Curbelo, full professor at the Universitat Politècnica de Catalunya and affiliated researcher at the Centre de Recerca Matemàtica, has been awarded the ECCOMAS Jacques-Louis Lions Young Investigator Award 2026, in the field of computational mathematics. The...