Richard Burt Melrose is an Australian mathematician and emeritus professor at the

Massachusetts Institute of Technology The Massachusetts Institute of Technology (MIT) is a Private university, private research university in Cambridge, Massachusetts, United States. Established in 1861, MIT has played a significant role in the development of many areas of moder ...

who works on

geometric analysis Geometric analysis is a mathematical discipline where tools from differential equations, especially elliptic partial differential equations (PDEs), are used to establish new results in differential geometry and differential topology. The use of ...

partial differential equations In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. The function is often thought of as an "unknown" that solves the equation, similar to how ...

, and

differential geometry Differential geometry is a Mathematics, mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of Calculus, single variable calculus, vector calculus, lin ...

Education

Melrose received in 1974 his Ph.D. from

Cambridge University The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, wo ...

under F. Gerard Friedlander with thesis ''Initial and Initial-Boundary Value Problems''.

Career

Melrose became a research fellow at

St John's College, Cambridge St John's College, formally the College of St John the Evangelist in the University of Cambridge, is a Colleges of the University of Cambridge, constituent college of the University of Cambridge, founded by the House of Tudor, Tudor matriarch L ...

. In 1977 he was a visiting scholar at the

Institute for Advanced Study The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ...

. Since 1976 he has been a professor at

MIT The Massachusetts Institute of Technology (MIT) is a private research university in Cambridge, Massachusetts, United States. Established in 1861, MIT has played a significant role in the development of many areas of modern technology and sc ...

, 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 András Vasy (born 1969) is a Hungarian–American mathematician working in the areas of partial differential equations, microlocal analysis, scattering theory, and inverse problems. He is currently a professor of mathematics at Stanford Univers ...

, and Maciej Zworski.

Awards

In 1984 Melrose received the

Bôcher Memorial Prize The Bôcher Memorial Prize was founded by the American Mathematical Society in 1923 in memory of Maxime Bôcher with an initial endowment of $1,450 (contributed by members of that society). It is awarded every three years (formerly every five yea ...

for his work on

scattering theory In physics, scattering is a wide range of physical processes where moving particles or radiation of some form, such as light or sound, are forced to deviate from a straight trajectory by localized non-uniformities (including particles and radiat ...

. Since 1986 he has been a Fellow of the

American Academy of Arts and Sciences The American Academy of Arts and Sciences (The Academy) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and other ...

. For the academic year 1992–1993 he was a

Guggenheim Fellow Guggenheim Fellowships are grants that have been awarded annually since by the John Simon Guggenheim Memorial Foundation, endowed by the late Simon and Olga Hirsh Guggenheim. These awards are bestowed upon individuals who have demonstrated d ...

. 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:

Books

*as editor with Michael Beals, Jeffrey Rauch: * * *with Antônio Sá Barreto, Maciej Zworski: *with András Vasy, Jared Wunsch,

References

External links

Web page for Richard Melrose, MIT
(with links to mathematical publications) {{DEFAULTSORT:Melrose, Richard Burt 1949 births 20th-century Australian mathematicians 21st-century Australian mathematicians Alumni of the University of Cambridge Australian National University alumni Differential geometers Living people Massachusetts Institute of Technology School of Science faculty Partial differential equation theorists Fellows of St John's College, Cambridge