David Catlin
David William Catlin is an American mathematician who works on the theory of several complex variables.
Catlin received in 1978 his Ph.D. from Princeton University under Joseph Kohn with thesis Boundary Behavior of Holomorphic Functions on Weakly Pseudoconvex Domains. He is a professor at Purdue University.
He solved a boundary behavior problem of complex analysis in several variables, on which his teacher Kohn worked in detail and which was originally formulated by Donald Spencer, a particular case of the Neumann problem for, a non-elliptic boundary value problem.
Caitlin was an Invited Speaker with talk Regularity of solutions of the -Neumann problem at the ICM in 1986 in Berkeley. In 1989 he received the inaugural Stefan Bergman Prize.
His brother Paul Allen Catlin also achieved fame as a mathematician, doing research on graph theory.Selected publications
- Necessary conditions for subellipticity of the -Neumann problem, Annals of Mathematics, 117, 1983, 147–171
- Boundary invariants of pseudoconvex domains, Annals of Mathematics 120, 1984, 529–586
- Subelliptic estimates for the -Neumann problem on pseudoconvex domains, Annals of Mathematics, 126, 1987, 131–191
- Estimates of invariant metrics on pseudoconvex domains of dimension two, Mathematische Zeitschrift 200, 1989, 429–466
- as editor with Thomas Bloom, John P. D'Angelo, Yum-Tong Siu: , Annals of Mathematics Studies 137, Princeton University Press 1995
- with J. P. D'Angelo: , arXiv preprint math/9511201, 1995
- , in: Complex analysis of several variables, Proc. Symp. Pure Math. Vol. 41, AMS, 1984, 39–49
- , in: Recent Developments in Several Complex Variables, Annals of Mathematics Studies Vol. 100, 2016, 93–100.
