The

... for excellence of research in the mathematical sciences published within the past ten years.

**1988** Robert P Langlands

... for his extraordinary vision, which has brought the theory of group representations into a revolutionary new relationship with the theory of automorphic forms and number theory.

**1992** Robert MacPherson

... for his role in the introduction and application of radically new approaches to the topology of singular spaces, including characteristics classes, intersection homology, perverse sheaves, and stratified Morse theory.

**1996** Andrew J Wiles

... for his proof of Fermat's Last Theorem by discovering a beautiful strategy to establish a major portion of the Shimura-Taniyama conjecture, and for his courage and technical power in bringing his idea to completion.

**2000** Ingrid Daubechies

... for fundamental discoveries on wavelets and wavelet expansions and for her role in making wavelet methods a practical basic tool of applied mathematics.

**2004** Dan-Virgil Voiculescu

... for the theory of free probability, in particular, using random matrices and a new concept of entropy to solve several hitherto intractable problems in von Neumann algebras.

**MacTutor links:**

**NAS Prizes:**

NAS Award in Mathematics

NAS Award in Applied Mathematics

**Other Web site:**

JOC/EFR August 2009

The URL of this page is:

http://www-history.mcs.st-andrews.ac.uk/history/Societies/NASAward.html