Diana Shelstad

Diana Frost Shelstad (born August 19, 1947) is a mathematician known for her work in automorphic forms. She is a professor at Rutgers University–Newark. She earned her doctorate at Yale University in 1974 studying real reductive algebraic groups.

Diana Shelstad
BornAugust 19, 1947 (1947-08-19) (age 72)
Sydney, Australia
NationalityAustralian
Alma materYale University
Known forCoconjecturing the fundamental lemma
Scientific career
FieldsMathematics
InstitutionsRutgers University–Newark
Doctoral advisorRobert Langlands

Research

Shelstad has been a key player in the development of the theory of endoscopy which is part of Langlands program. She co-conjectured the fundamental lemma with Robert Langlands in 1984. After over 20 years, this conjecture was solved by Ngô Bảo Châu in 2009, thus opening up a wealth of consequences.

In 1999, Shelstad developed a theory of twisted endoscopy with Robert Kottwitz. In 2008–9 she completed work on tempered endoscopy.

Important talks

On August 4, 2008, Shelstad spoke at the Banff International Research Station. The talk was recorded and may be viewed here.

Awards and honors

In 2012 she became a fellow of the American Mathematical Society.[1]

Selected papers
  • Shelstad, D. Characters and inner forms of a quasi-split group over . Compositio Mathematica, 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
  • Shelstad, D. On geometric transfer in real twisted endoscopy. Annals of Mathematics 176 (2012), no. 3, 1919-1985.
gollark: The first term is 1.
gollark: You calculate it.
gollark: <@543131534685765673> `(x - 1) * -1 / 6 * (x - 3) * (x - 4) * (x - 5) + (x - 1) / 2 * (x - 2) * (x - 4) * (x - 5) + (x - 1) * -1 / 2 * (x - 2) * (x - 3) * (x - 5) + (x - 1) * 5 / 24 * (x - 2) * (x - 3) * (x - 4)`
gollark: Specifically factorials up to 7! or so, it's computationally intractable and/or overflows Discord messages beyond that.
gollark: Oh, I can have it generate a convenient formula for factorials too!

References
  1. List of Fellows of the American Mathematical Society, retrieved 2013-07-18.
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