Richard Burt Melrose is an Australian mathematician and professor at the

Massachusetts Institute of Technology The Massachusetts Institute of Technology (MIT) is a private land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern technology and science, and is one of the ...

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 l ...

partial differential equations In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similarly to ...

, and

differential geometry Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multili ...

Education

Melrose received in 1974 his Ph.D. from

Cambridge University , mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Schola ...

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 is a Colleges of the University of Cambridge, constituent college of the University of Cambridge founded by the House of Tudor, Tudor matriarch Lady Margaret Beaufort. In constitutional terms, the college is a charitable corpo ...

. In 1977 he was a visiting scholar at the

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

. Since 1976 he has been a professor at

MIT The Massachusetts Institute of Technology (MIT) is a private land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern technology and science, and is one of the mo ...

, 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 Mark Suresh Joshi (2 March 1969 – 8 October 2017) was a researcher and consultant in mathematical finance, and a professor at the University of Melbourne. His research focused on derivatives pricing and interest rate derivatives in particula ...

, John M. Lee, Rafe Mazzeo,

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

, and

Maciej Zworski Maciej Zworski is a Polish-Canadian mathematician, currently a professor of mathematics at the University of California, Berkeley. His mathematical interests include microlocal analysis, scattering theory, and partial differential equations. H ...

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 year ...

for his work on

scattering theory In mathematics and physics, scattering theory is a framework for studying and understanding the scattering of waves and particles. Wave scattering corresponds to the collision and scattering of a wave with some material object, for instance sunli ...

. Since 1986 he has been a Fellow of the

American Academy of Arts and Sciences The American Academy of Arts and Sciences (abbreviation: AAA&S) 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 ...

. 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 to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the ar ...

. 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,

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 PDE theorists