Nicholas Michael Katz is an American mathematician, working in arithmetic geometry, particularly on p-adic methods, monodromy and moduli problems, and number theory. He is currently a professor of Mathematics at Princeton University and an editor of the journal Annals of Mathematics.
Louis Nirenberg was a Canadian-American mathematician, considered one of the most outstanding mathematicians of the 20th century.
Luis Angel Caffarelli is an Argentine mathematician and luminary in the field of partial differential equations and their applications.
Lawrence Craig Evans is an American mathematician and Professor of Mathematics at the University of California, Berkeley.
Aleksei Vasil'evich Pogorelov, was a Soviet and Ukrainian mathematician. Specialist in the field of convex and differential geometry, geometric PDEs and elastic shells theory, the author of the novel school textbook on geometry and university textbooks on analytical geometry, on differential geometry, and on foundations of geometry.
In mathematics, a (real) Monge–Ampère equation is a nonlinear second-order partial differential equation of special kind. A second-order equation for the unknown function u of two variables x,y is of Monge–Ampère type if it is linear in the determinant of the Hessian matrix of u and in the second-order partial derivatives of u. The independent variables (x,y) vary over a given domain D of R2. The term also applies to analogous equations with n independent variables. The most complete results so far have been obtained when the equation is elliptic.
Leon Melvyn Simon, born in 1945, is a Leroy P. Steele Prize and Bôcher Prize-winning mathematician, known for deep contributions to the fields of geometric analysis, geometric measure theory, and partial differential equations. He is currently Professor Emeritus in the Mathematics Department at Stanford University.
Robert Leamon Bryant is an American mathematician. He works at Duke University and specializes in differential geometry.
In differential geometry, the Minkowski problem, named after Hermann Minkowski, asks for the construction of a strictly convex compact surface S whose Gaussian curvature is specified. More precisely, the input to the problem is a strictly positive real function ƒ defined on a sphere, and the surface that is to be constructed should have Gaussian curvature ƒ(n ) at the point x, where n(x) denotes the normal to S at x. Eugenio Calabi stated: "From the geometric view point it [the Minkowski problem] is the Rosetta Stone, from which several related problems can be solved."
Erhard Heinz was a German mathematician known for his work on partial differential equations, in particular the Monge–Ampère equation. He worked as professor in Stanford, Munich and from 1966 until his retirement 1992 at the University of Göttingen.
Maciej Zworski is a Polish, Canadian mathematician, currently a professor of mathematics at the University of California, Berkeley. His mathematical interests include microlocal analysis, scattering theory, and partial differential equations.
Alessio Figalli is an Italian mathematician working primarily on calculus of variations and partial differential equations.
Ovidiu Vasile Savin is a Romanian-American mathematician who is active in the field of the partial differential equations.
J. (Jean) François Trèves is a French mathematician, specializing in partial differential equations.
Michael Eugene Taylor is an American mathematician, working in partial differential equations.
Michael Struwe is a German mathematician who specializes in calculus of variations and nonlinear partial differential equations. He won the 2012 Cantor medal from the Deutsche Mathematiker-Vereinigung for "outstanding achievements in the field of geometric analysis, calculus of variations and nonlinear partial differential equations".
Robert Miller Hardt is an American mathematician. His research deals with geometric measure theory, partial differential equations, and continuum mechanics. He is particularly known for his work with Leon Simon proving the boundary regularity of volume minimizing hypersurfaces.
Duong Hong Phong is an American mathematician of Vietnamese origin. He is a professor of mathematics at Columbia University. He is known for his research on complex analysis, partial differential equations, string theory and complex geometry.
John "Jack" Marshall Lee is an American mathematician and professor at the University of Washington specializing in differential geometry.
Guy David is a French mathematician, specializing in analysis.
