Richard Burt Melrose
{{short description|Australian mathematician}}
{{Use dmy dates|date=April 2022}}
{{BLP sources|date=August 2021}}
{{Infobox scientist
| image = Richard Melrose 2008 (portioned).jpg
| caption = Melrose at Berkeley in 2008
| doctoral_advisor = Frederick Gerard Friedlander
| thesis_title = Initial and Initial Boundary Value Problems
| thesis_url = https://idiscover.lib.cam.ac.uk/permalink/f/16u99e0/44CAM_ALMA21429707780003606
| doctoral_students =Frank Farris
Mark S. Joshi
John M. Lee
Rafe Mazzeo
András Vasy
Jared Wunsch
Maciej Zworski
| workplaces = Massachusetts Institute of Technology
| alma_mater = University of Cambridge
| thesis_year = 1974
}}
Richard Burt Melrose is an Australian mathematician and emeritus professor at the Massachusetts Institute of Technology who works on geometric analysis, partial differential equations, and differential geometry.[http://www-math.mit.edu/people/profile.php?pid=183 brief bio of Melrose at MIT]
Education
Melrose received in 1974 his Ph.D. from Cambridge University under F. Gerard Friedlander with thesis Initial and Initial-Boundary Value Problems.{{MathGenealogy|id=29287}}
Career
Melrose 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.
His doctoral students include Mark S. Joshi, John M. Lee, Rafe Mazzeo, András Vasy, and Maciej Zworski.
Awards
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.
Selected publications
=Articles=
- with Shahla Marvizi: {{cite journal|title=Some spectrally isolated convex planar regions|journal=Proc Natl Acad Sci U S A|year=1982|volume=79|issue=22|pages=7066–7067|pmc=347276|last1=Marvizi|first1=S.|last2=Melrose|first2=R. B.|doi=10.1073/pnas.79.22.7066|pmid=16593254|bibcode=1982PNAS...79.7066M |doi-access=free}}
=Books=
- as editor with Michael Beals, Jeffrey Rauch: {{cite book|title=Microlocal analysis and nonlinear waves|publisher=Springer|year=1991|isbn=0387975918}}
- {{cite book|title=The Atiyah-Patodi-Singer Index theorem|url=https://books.google.com/books?id=s-dhDwAAQBAJ|publisher=A.K.Peters|year=1993|isbn=978-1-56881-002-7}}
- {{cite book|title=Geometric Scattering Theory|publisher=Cambridge University Press|year=1995|isbn=9780521498104|url=https://books.google.com/books?id=pth1qeZ7GsoC}}
- with Antônio Sá Barreto, Maciej Zworski: {{cite book|title=Semi-linear diffraction of conormal waves|series=Astérisque, 0303 : 240|publisher=Société Mathématique de France; distributed by American Mathematical Society|year=1996}}
- with András Vasy, Jared Wunsch, {{cite book|url=https://books.google.com/books?id=O7VJmWggNHoC | title=Diffraction of Singularities for the Wave Equation on Manifolds with Corners | isbn=9782856293676 | date=2013 | publisher=Société mathématique de France }}
References
{{reflist}}
External links
- [http://www-math.mit.edu/~rbm/ Web page for Richard Melrose, MIT] (with links to mathematical publications)
{{Authority control}}
{{DEFAULTSORT:Melrose, Richard Burt}}
Category:20th-century Australian mathematicians
Category:21st-century Australian mathematicians
Category:Alumni of the University of Cambridge
Category:Australian National University alumni
Category:Differential geometers
Category:Massachusetts Institute of Technology School of Science faculty