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David William Catlin (born 12 May 1952 Tran Vu Khan, University of Padua Seminar 2009/10
/ref> Catlin 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
Modern methods in complex analysis
Annals of Mathematics Studies 137, Princeton University Press 1995 (dedicated to
A stabilization theorem for Hermitian forms and applications to holomorphic mappings
arXiv preprint math/9511201, 1995
Global regularity of the -Neumann problem
in: ''Complex analysis of several variables'', Proc. Symp. Pure Math. Vol. 41, AMS, 1984, 39–49
Necessary conditions for subellipticity and hypoellipticity for the -Neumann problem on pseudoconvex domains
in: ''Recent Developments in Several Complex Variables'' ( John E. Fornæss, ed.), Annals of Mathematics Studies Vol. 100, 2016, 93–100.
David W. Catlin, Mathematics Departrment, Purdue University
{{DEFAULTSORT:Catlin, David W 20th-century American mathematicians 21st-century American mathematicians Complex analysts PDE theorists Princeton University alumni Purdue University faculty 1952 births People from Rochester, Pennsylvania Living people
David William Catlin (born 12 May 1952 Rochester, Pennsylvania
Rochester is a borough in central Beaver County, Pennsylvania, United States. Located northwest of Pittsburgh, it is part of the Pittsburgh metropolitan area. The population was 3,480 at the 2020 census. Like many places around Pittsburgh, ...
) is an American mathematician who works on the theory of several complex variables
The theory of functions of several complex variables is the branch of mathematics dealing with complex-valued functions. The name of the field dealing with the properties of function of several complex variables is called several complex variable ...
.
Catlin received in 1978 his Ph.D. from Princeton University
Princeton University is a private university, private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial Colleges, fourth-oldest ins ...
under Joseph Kohn
Joseph John Kohn (born May 18, 1932) is a professor emeritus of mathematics at Princeton University, where he researches partial differential operators and complex analysis.
Life and work
Kohn's father was Czech-Jewish architect Otto Kohn. A ...
with thesis ''Boundary Behavior of Holomorphic Functions on Weakly Pseudoconvex Domains''. He is a professor at Purdue University
Purdue University is a public land-grant research university in West Lafayette, Indiana, and the flagship campus of the Purdue University system. The university was founded in 1869 after Lafayette businessman John Purdue donated land and money ...
.
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
In mathematics, the Neumann (or second-type) boundary condition is a type of boundary condition, named after Carl Neumann.
When imposed on an ordinary or a partial differential equation, the condition specifies the values of the derivative appli ...
for , a non-elliptic boundary value problem./ref> Catlin 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 The Stefan Bergman Prize is a mathematics award, funded by the estate of the widow of mathematician Stefan Bergman and supported by the American Mathematical Society. The award is granted for mathematical research in: "1) the theory of the kernel f ...
.
His brother Paul Allen Catlin (1948–1995) also achieved fame as a mathematician, doing research on graph theory
In mathematics, graph theory is the study of ''graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of '' vertices'' (also called ''nodes'' or ''points'') which are conne ...
.
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
Yum-Tong Siu (; born May 6, 1943 in Guangzhou, China) is the William Elwood Byerly Professor of Mathematics at Harvard University.
Siu is a prominent figure in the study of functions of several complex variables. His research interests invol ...
Modern methods in complex analysis
Annals of Mathematics Studies 137, Princeton University Press 1995 (dedicated to
Robert Gunning Robert Gunning may refer to:
* Sir Robert Gunning, 1st Baronet (1731–1816), British diplomat
* Robert C. Gunning, professor of mathematics at Princeton University
* Robert Halliday Gunning (1818–1900), Scottish physician
* Robert Gunning, Amer ...
and Joseph Kohn)
*with J. P. D'AngeloA stabilization theorem for Hermitian forms and applications to holomorphic mappings
arXiv preprint math/9511201, 1995
Global regularity of the -Neumann problem
in: ''Complex analysis of several variables'', Proc. Symp. Pure Math. Vol. 41, AMS, 1984, 39–49
Necessary conditions for subellipticity and hypoellipticity for the -Neumann problem on pseudoconvex domains
in: ''Recent Developments in Several Complex Variables'' ( John E. Fornæss, ed.), Annals of Mathematics Studies Vol. 100, 2016, 93–100.
References
External links
David W. Catlin, Mathematics Departrment, Purdue University
{{DEFAULTSORT:Catlin, David W 20th-century American mathematicians 21st-century American mathematicians Complex analysts PDE theorists Princeton University alumni Purdue University faculty 1952 births People from Rochester, Pennsylvania Living people