Richard Burt Melrose

Richard Burt Melrose (1949, Australia) is an Australian mathematician, who works on geometric analysis, partial differential equations, and differential geometry.[1]

Richard Burt Melrose
Richard Melrose in Oberwolfach 2007
Alma materUniversity of Cambridge
Scientific career
ThesisInitial and Initial Boundary Value Problems (1974)
Doctoral advisorFrederick Gerard Friedlander
Doctoral studentsRafe Roys Mazzeo
Mark S. Joshi
John M. Lee
András Vasy
Maciej Zworski.

Melrose received in 1974 his Ph.D. from Cambridge University under F. Gerard Friedlander with thesis Initial and Initial-Boundary Value Problems.[2] He then became a research fellow at St John’s College, Cambridge. In 1977 he was a visiting scholar at the Institute for Advanced Study. Since 1976 he has been a professor at MIT, where since 2006 he has been the Simons Professor of Mathematics. From 1999 to 2002 he was the chair of the committee for pure mathematics at MIT.

In 1984 Melrose received the Bôcher Memorial Prize for his work on scattering theory. Since 1986 he has been a Fellow of the American Academy of Arts and Sciences. For the academic year 1992–1993 he was a Guggenheim Fellow. He was in 1978 an invited speaker (Singularities of solutions of boundary value problems) at the ICM in Helsinki and in 1990 a plenary speaker (Pseudodifferential operators, corners and singular limits) at the ICM in Kyoto.

His doctoral students include Mark S. Joshi, John M. Lee, András Vasy, and Maciej Zworski.

Selected publications

Articles
  • with Shahla Marvizi: "Some spectrally isolated convex planar regions". Proc Natl Acad Sci U S A. 79 (22). 1982. pp. 7066–7067. PMC 347276.

Books
  • as editor with Michael Beals, Jeffrey Rauch: Microlocal analysis and nonlinear waves. Springer. 1991.
  • The Atiyah-Patodi-Singer Index theorem. A.K.Peters. 1993.
  • Geometric Scattering Theory. Cambridge University Press. 1995.
  • with Antônio Sá Barreto, Maciej Zworski: Semi-linear diffraction of conormal waves. Astérisque, 0303 : 240. Société Mathématique de France; distributed by American Mathematical Society. 1996.
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References
  1. brief bio of Melrose at MIT
  2. Richard Burt Melrose at the Mathematics Genealogy Project
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