Charles Louis Fefferman is an American mathematician at Princeton University, where he is currently the Herbert E. Jones, Jr. '43 University Professor of Mathematics. He was awarded the Fields Medal in 1978 for his contributions to mathematical analysis.
Jean, Baron Bourgain was a Belgian mathematician. He was awarded the Fields Medal in 1994 in recognition of his work on several core topics of mathematical analysis such as the geometry of Banach spaces, harmonic analysis, ergodic theory and nonlinear partial differential equations from mathematical physics.
Louis Nirenberg was a Canadian-American mathematician, considered one of the most outstanding mathematicians of the 20th century.
In mathematics, a CR manifold, or Cauchy–Riemann manifold, is a differentiable manifold together with a geometric structure modeled on that of a real hypersurface in a complex vector space, or more generally modeled on an edge of a wedge.
In mathematics, more precisely in the theory of functions of several complex variables, a pseudoconvex set is a special type of open set in the n-dimensional complex space Cn. Pseudoconvex sets are important, as they allow for classification of domains of holomorphy.
Stefan Bergman was a Congress Poland-born American mathematician whose primary work was in complex analysis. His name is also written Bergmann; he dropped the second "n" when he came to the U. S. He is best known for the kernel function he discovered while at University of Berlin in 1922. This function is known today as the Bergman kernel. Bergman taught for many years at Stanford University, and served as an advisor to several students.
Harold P. Boas is an American mathematician.
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.
Steven George Krantz is an American scholar, mathematician, and writer. He has authored more than 280 research papers and more than 135 books. Additionally, Krantz has edited journals such as the Notices of the American Mathematical Society and The Journal of Geometric Analysis.
In mathematics, Oka's lemma, proved by Kiyoshi Oka, states that in a domain of holomorphy in , the function is plurisubharmonic, where is the distance to the boundary. This property shows that the domain is pseudoconvex. Historically, this lemma was first shown in the Hartogs domain in the case of two variables, also Oka's lemma is the inverse of Levi's problem. Therefore, Oka himself calls Levi's problem "problème inverse de Hartogs", and Levi's problem is occasionally called Hartogs' Inverse Problem.
J. (Jean) François Trèves is a French mathematician, specializing in partial differential equations.
Mei-Chi Shaw is a professor of mathematics at the University of Notre Dame. Her research concerns partial differential equations.
Masatake Kuranishi was a Japanese mathematician who worked on several complex variables, partial differential equations, and differential geometry.
Donatella Danielli is a professor of mathematics at Arizona State University and is known for her contributions to partial differential equations, calculus of variations and geometric measure theory, with specific emphasis on free boundary problems.
David William Catlin is an American mathematician who works on the theory of several complex variables.
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.
Alexander Joseph Nagel is an American mathematician, specializing in harmonic analysis, functions of several complex variables, and linear partial differential equations.
Francis Michael Christ is an American mathematician and professor at University of California, Berkeley, specializing in harmonic analysis, partial differential equations, and several complex variables. He is known for the Christ–Kiselev maximal inequality.
Klaus Schmitt is an American mathematician doing research in Nonlinear differential equations, and Nonlinear analysis.
