Alan McIntosh

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Alan Gaius Ramsay McIntosh (* 1942 in Sydney ; † August 8, 2016 ) was an Australian mathematician who dealt with analysis ( harmonic analysis , partial differential equations ). He was a professor at the Australian National University in Canberra .

McIntosh graduated from the University of New England with a bachelor's degree in 1962 (as a student he also received the University Medal ) and received his doctorate in 1966 with Frantisek Wolf at the University of California, Berkeley ( Representation of Accretive Bilinear Forms in Hilbert Space by Maximal Accretive Operators ). At Berkeley he was also a student of Tosio Kato . As a post-doctoral student he was at the Institute for Advanced Study and from 1967 he taught at Macquarie University and from 1999 at the Australian National University. In 2014 he retired.

McIntosh was involved in solving the Calderon conjecture in the theory of singular integral operators.

In 2002, together with Pascal Auscher , Michael T. Lacey , Philippe Tchamitchian and Steve Hofmann , he solved the Kato root problem for elliptic differential operators, which had been open since 1953 .

In addition, he deals with singular integral operators, boundary value problems of partial differential equations with applications (such as scattering theory of Maxwell's equation in irregular domains), spectral theory and functional calculus of operators in Banach spaces, analysis with Clifford algebras, bounds for the heat kernel and functional calculus for partial elliptical operators.

In 1986 he became a member of the Australian Academy of Sciences , whose Hannan Medal he received in 2015. In 2002 he received the Moyal Medal from Macquarie University.

Web links

Individual evidence

  1. Membership book of the Institute for Advanced Study 1980
  2. Alan McIntosh in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ^ P. Auscher, S. Hofmann, M. Lacey, A. McIntosh, P. Tchamitchian: The solution of the Kato square root problem for second order elliptic operators on , Annals of Mathematics, Volume 156, 2002, pp. 633-654