Lecture by Professor Alessio Figalli, PhD, recipient of the Fields Medal

Professor Alessio Figalli, PhD, a recipient of the Fields Medal, will give a lecture titled ’Exploring Stability in Geometric and Functional Inequalities’ on Friday, 20 March, at 10.30 a.m. at the Grand Hall of the Serbian Academy of Sciences and Arts. The lecture is organised by the Mathematical Institute of the Serbian Academy of Sciences and Arts.

Geometric and functional inequalities have long been foundational in analysis, significantly shaping our understanding of numerous mathematical and physical phenomena. Contemporary research increasingly turns its attention to questions of stability: if a function is nearly optimal in a known inequality, can we quantify just how close it is to a genuine minimiser? In his lecture, Professor Figalli will explore this problem and present some of the most recent results in this field.

Alessio Figalli defended his doctoral dissertation in 2007 under the mentorship of Professor Luigi Ambrosio at Scuola Normale Superiore and Professor Cédric Villani at the École Normale Supérieure in Lyon. He continued his academic career at universities in France and the United States of America. Since 2016, he has served as a full professor at ETH Zurich. Since 2019, he has been the director of the FIM – Institute for Mathematical Research at this university.

He has received several prestigious awards for his scientific work, including the European Mathematical Society (EMS) Prize in 2012, the Stampacchia Gold Medal in 2015, and the Feltrinelli Prize in Mathematics in 2017. He was an invited speaker at the 2014 International Congress of Mathematicians, and in 2018, he received the Fields Medal for his contributions to optimal transport theory and its applications to partial differential equations, metric geometry, and probability.