The work of Luis Caffarelli on fully nonlinear elliptic PDEs

Luis Caffarelli is one of the most outstanding mathematicians of our generation. His fundamental work on the regularity theory of nonlinear PDEs, fluid dynamics, and free boundary problems is associated with many important breakthroughs in these fields over the last five decades. For his exceptional work, Caffarelli was awarded numerous honors and distinctions such as the Bôcher Memorial Prize, the Rolf Schock Prize, the AMS Leroy Steele Prize, the Wolf Prize, the Shaw Prize, and, in 2023, the Abel Prize.