Diana Shelstad

Diana Frost Shelstad (born August 19, 1947 in Sydney)^[1] is a mathematician known for her work in automorphic forms. She is a professor at Rutgers University–Newark.^[2] She earned her doctorate at Yale University in 1974 studying real reductive algebraic groups.^[3]

Diana Shelstad
Born	August 19, 1947 (1947-08-19) (age 77) Sydney, Australia
Nationality	Australian
Alma mater	Yale University
Known for	Coconjecturing the fundamental lemma
Scientific career
Fields	Mathematics
Institutions	Rutgers University–Newark
Doctoral advisor	Robert Langlands

Research

Shelstad has been a key player in the development of the theory of endoscopy which is part of Langlands program.^[4] 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.^[5]

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.^[6]

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.