Ovidiu Savin
Ovidiu Vasile Savin is a Romanian-American mathematician who is active in the field of the partial differential equations.
Scientific activity
Savin received his Ph.D. in mathematics from the University of Texas at Austin in 2003 having Luis Caffarelli as advisor; he isprofessor of mathematics at Columbia University.
Savin is mostly known for his important work on Ennio De Giorgi's conjecture about global solutions to certain semilinear equations, that he proved up to dimension 8. It is to be noticed that the conjecture turns out to be false in higher dimensions, as eventually proved by Manuel del Pino, Michał Kowalczyk, and Juncheng Wei. Savin has also worked on various regularity questions proving the gradient continuity of solutions to the infinity-Laplacian equation in two dimensions and obtaining results on the boundary regularity of solutions to the Monge–Ampère equation.