Diana Frost Shelstad is a mathematician

Mathematician

A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

 known for her work in automorphic forms. She is a professor at Rutgers–Newark. She earned her doctorate at Yale University

Yale University

Yale University is a private, Ivy League university located in New Haven, Connecticut, United States. Founded in 1701 in the Colony of Connecticut, the university is the third-oldest institution of higher education in the United States...

 in 1974 studying real reductive algebraic groups.

Research

Shelstad has been a key player in the development of the theory of endoscopy

Endoscopic group

In mathematics, endoscopic groups of reductive algebraic groups were introduced by in his work on the stable trace formula.Roughly speaking, an endoscopic group H of G is a quasi-split group whose L-group is the connected component of the centralizer of a semisimple element of the L-group of G.In...

 which is part of Langlands program

Langlands program

The Langlands program is a web of far-reaching and influential conjectures that relate Galois groups in algebraic number theory to automorphic forms and representation theory of algebraic groups over local fields and adeles. It was proposed by ....

. She co-conjectured the fundamental lemma with Robert Langlands

Robert Langlands

Robert Phelan Langlands is a mathematician, best known as the founder of the Langlands program. He is an emeritus professor at the Institute for Advanced Study...

 in 1984. After over 20 years, this conjecture was solved by Ngô Bảo Châu

Ngo Bao Chau

Ngô Bảo Châu is a Vietnamese and French mathematician at the University of Chicago, best known for proving the fundamental lemma for automorphic forms proposed by Robert Langlands and Diana Shelstad. He is the first Vietnamese to receive the Fields Medal.- Biography :Chau was born in 1972, the...

 in 2009, thus opening up a wealth of consequences.

In 1999, Shelstad developed a theory of twisted endoscopy

Endoscopic group

In mathematics, endoscopic groups of reductive algebraic groups were introduced by in his work on the stable trace formula.Roughly speaking, an endoscopic group H of G is a quasi-split group whose L-group is the connected component of the centralizer of a semisimple element of the L-group of G.In...

 with Robert Kottwitz. In 2008–9 she completed work on tempered endoscopy

Endoscopic group

In mathematics, endoscopic groups of reductive algebraic groups were introduced by in his work on the stable trace formula.Roughly speaking, an endoscopic group H of G is a quasi-split group whose L-group is the connected component of the centralizer of a semisimple element of the L-group of G.In...

.

Important talks

On August 4, 2008, Shelstad spoke at the Banff International Research Station. The talk was recorded and
may be viewed at http://itunes.apple.com/us/podcast/banff-international-research/id307566214.

Selected papers

• Shelstad, D. Characters and inner forms of a quasi-split group over $R$. Compositio Math. 39 (1979), no. 1, 11–45.
• Langlands, R.; Shelstad, D. On principal values on p-adic manifolds. Lie group representations, II (College Park, Md., 1982/1983), 250–279, Lecture Notes in Math., 1041, Springer, Berlin, 1984.
• Kottwitz, R. and D. Shelstad Foundations of Twisted Endoscopy, Asterisque, vol. 255, 1999

External links

• http://publications.ias.edu/rpl/series.php?series=51
• http://andromeda.rutgers.edu/~shelstad/