David Catlin

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David William Catlin (born May 12, 1952 in Rochester (Pennsylvania) ) is an American mathematician who studies complex analysis (several complex variables).

David Catlin, Oberwolfach 2004

Catlin received his PhD in 1978 from Princeton University under Joseph Kohn (Boundary Behavior of Holomorphic Functions on Weakly Pseudoconvex Domains). In 1983 he received a research grant from the Alfred P. Sloan Foundation ( Sloan Research Fellowship ). He is a professor at Purdue University .

Catlin solved a problem of complex analysis in several variables, with which his teacher Kohn already dealt extensively (originally formulated by Donald Spencer ), the Neumann problem for , a non-elliptical boundary value problem.

He was invited speaker at the 1986 International Congress of Mathematicians in Berkeley (Regularity of solutions of the -Neumann problem). In 1989 he received the first Bergman Prize.

His brother Paul Allen Catlin is also a mathematician.

Fonts

  • 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
  • Editor with Thomas Bloom, John P. D'Angelo, Yum-Tong Siu : Modern methods in complex analysis, Annals of Mathematics Studies 137, Princeton University Press 1995 (dedicated to Robert Gunning and Joseph Kohn)
  • Global regularity of the ∂-Neumann problem, in: Complex analysis of several variables , Proc. Symp. Pure Math. Vol. 41, AMS, 1984, pp. 39-49

Web links

Individual evidence

  1. David Catlin in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. Published in J. Differential Geom., 15, 1981, 605-625.
  3. Makhlouf Derridj La sous-ellipticité pour leproblemème -Neumann dans un domaine pseudoconvexe de , d'après D. Catlin, Séminaire Bourbaki 790, 1994/95, numdam
  4. ^ Tran Vu Khan, Seminar University of Padua 2009/10, pdf