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Robert Phelan Langlands, is a Canadian mathematician. He is best known as the founder of the Langlands program, a vast web of conjectures and results connecting representation theory and automorphic forms to the study of Galois groups in number theory, for which he received the 2018 Abel Prize. He was an emeritus professor and occupied Albert Einstein's office at the Institute for Advanced Study in Princeton, until 2020 when he retired.
In mathematics, the Langlands program is a web of far-reaching and influential conjectures about connections between number theory and geometry. Proposed by Robert Langlands, it seeks to relate Galois groups in algebraic number theory to automorphic forms and representation theory of algebraic groups over local fields and adeles. Widely seen as the single biggest project in modern mathematical research, the Langlands program has been described by Edward Frenkel as "a kind of grand unified theory of mathematics."
Richard Lawrence Taylor is a British mathematician working in the field of number theory. He is currently the Barbara Kimball Browning Professor in Humanities and Sciences at Stanford University.
In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties.
Li Jianshu, also known as Jian-Shu Li, is a Chinese mathematician working in representation theory and automorphic forms. He is the founding director of the Institute for Advanced Study in Mathematics at Zhejiang University and Professor Emeritus at the Hong Kong University of Science and Technology.
Diana Frost Shelstad 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.
Freydoon Shahidi is an Iranian American mathematician who is a Distinguished Professor of Mathematics at Purdue University in the U.S. He is known for a method of automorphic L-functions which is now known as the Langlands–Shahidi method.
Michael Howard Harris is an American mathematician and professor of mathematics at Columbia University who specializes in number theory and representation theory. He made notable contributions to the Langlands program, for which he won the 2007 Clay Research Award. In particular, he proved the local Langlands conjecture for GL(n) over a p-adic local field, and he was part of the team that proved the Sato–Tate conjecture.
In mathematics, Lafforgue's theorem, due to Laurent Lafforgue, completes the Langlands program for general linear groups over algebraic function fields, by giving a correspondence between automorphic forms on these groups and representations of Galois groups.
Robert Edward Kottwitz is an American mathematician.
Glenn H. Stevens is an American mathematician and educator. He is Professor of Mathematics at Boston University where he has taught and conducted research since 1984.
Haruzo Hida is a Japanese mathematician, known for his research in number theory, algebraic geometry, and modular forms.
Wiesława Krystyna Nizioł is a Polish mathematician, director of research at CNRS, based at École normale supérieure de Lyon. Her research concerns arithmetic geometry, and in particular p-adic Hodge theory, Galois representations, and p-adic cohomology.
William Allen Casselman is an American Canadian mathematician who works in representation theory and automorphic forms. He is a Professor Emeritus at the University of British Columbia. He is closely connected to the Langlands program and has been involved in posting all of the work of Robert Langlands on the internet.
Günter Harder is a German mathematician, specializing in arithmetic geometry and number theory.
Laurent Clozel is a French mathematician. His mathematical work is in the area of automorphic forms, including major advances on the Langlands programme
Harald Grobner is an Austrian mathematician at the Faculty of Mathematics, University of Vienna. His research focuses on questions of algebra and number theory within the Langlands program.
Vincent Pilloni is a French mathematician, specializing in arithmetic geometry and the Langlands program.
Jack A. Thorne is a British mathematician working in number theory and arithmetic aspects of the Langlands Program. He specialises in algebraic number theory. Thorne was awarded the Whitehead Prize in 2017, and he was an invited speaker at the International Congress of Mathematicians in 2018. He was also awarded the 2018 SASTRA Ramanujan Prize for his contributions to the field of mathematics. He shared the prize with Yifeng Liu. In April 2020 he was elected a Fellow of the Royal Society. Also in 2020 he received the EMS Prize of the European Mathematical Society.
Francesco Damien "Frank" Calegari is a professor of mathematics at the University of Chicago working in number theory and the Langlands program.
References
- 1 2 "Matthew Emerton's Research Interests". Math.uchicago.edu. Retrieved 13 March 2016.
- ↑ "The Mathematics Genealogy Project - Matthew Emerton". Genealogy.math.ndsu.nodak.edu. Retrieved 13 March 2016.
- ↑ "Matthew Emerton" . Retrieved 13 March 2016.
- 1 2 "Matthew James Emerton Curriculum Vitae — September 2014" (PDF). Retrieved 5 June 2016.
- 1 2 "Local-global compatibility in the p-adic Langlands programme for GL2/Q" (PDF).
- ↑ ICM2014 VideoSeries IL3.2 : Matthew Emerton on Aug14Thu , retrieved 11 February 2020
- ↑ "User Emerton - MathOverflow". Mathoverflow.net. Retrieved 13 March 2016.
- ↑ "Too Much Ain't Enough Langlands". Math.columbia.edu. Retrieved 28 March 2016.
- ↑ Speyer, David (22 April 2009). "Matthew Emerton is smart and helpful". Secret Blogging Seminar. Retrieved 11 February 2020.
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