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Diana Frost Shelstad (born August 19, 1947 in Sydney) 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.

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.

Awards and honors

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

Selected papers

• Shelstad, D. Characters and inner forms of a quasi-split group over ${\displaystyle \mathbb {R} }$. 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.

References

1. "Shelstad, Diana Frost (1947–)", idRef, retrieved 27 July 2024
2. "Staff directory", Mathematics and Computer Science, Rutgers University–Newark, retrieved 27 July 2024
3. Diana Shelstad at the Mathematics Genealogy Project
4. Renard, David (2011), "Endoscopy for real reductive groups", On the stabilization of the trace formula (PDF), Stabilization of the Trace Formula, Shimura Varieties, and Arithmetic Applications, vol. 1, Somerville, Massachusetts: International Press, pp. 95–141, ISBN 978-1-57146-227-5, MR 2856368, The purpose of this paper is to review Diana Shelstad's results on endoscopy for real reductive groups
5. DeBacker, Stephen (2007), "The fundamental lemma: what is it and what do we know?", Current Developments in Mathematics, 2005, Somerville, Massachusetts: International Press, pp. 151–171, doi:10.4310/CDM.2005.v2005.n1.a5, ISBN 978-1-57146-166-7, MR 2459300
6. List of Fellows of the American Mathematical Society, retrieved 18 July 2013

External links

• Faculty web site at Rutgers

• 1947 births
• Living people
• Yale University alumni
• Rutgers University faculty
• 20th-century Australian mathematicians
• 21st-century Australian mathematicians
• Fellows of the American Mathematical Society
• Scientists from Sydney
• 20th-century women mathematicians
• 21st-century women mathematicians