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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 is 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 consequential 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, the local Langlands conjectures, introduced by Robert Langlands, are part of the Langlands program. They describe a correspondence between the complex representations of a reductive algebraic group G over a local field F, and representations of the Langlands group of F into the L-group of G. This correspondence is not a bijection in general. The conjectures can be thought of as a generalization of local class field theory from abelian Galois groups to non-abelian Galois groups.
David Alexander Vogan Jr. is a mathematician at the Massachusetts Institute of Technology who works on unitary representations of simple Lie groups.
Pierre Colmez is a French mathematician and directeur de recherche at the CNRS (IMJ-PRG) known for his work in number theory and p-adic analysis.
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 known for his work in number theory. He is a professor of mathematics at Columbia University and professor emeritus of mathematics at Université Paris Cité.
Colin John Bushnell was a British mathematician specialising in number theory and representation theory. He spent most of his career at King's College London, including a stint as the head of the School of Physical Sciences and Engineering, and made several contributions to the representation theory of reductive p-adic groups and the local Langlands correspondence.
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 Institut mathématique de Jussieu. 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.
Matthew James Emerton is an Australian mathematician who is a professor of mathematics at the University of Chicago. His research interests include number theory, especially the theory of automorphic forms.
Colette Moeglin is a French mathematician, working in the field of automorphic forms, a topic at the intersection of number theory and representation theory.
Xinwen Zhu is a Chinese mathematician and professor at Stanford University. His work deals primarily with geometric representation theory and in particular the Langlands program, tying number theory to algebraic geometry and quantum physics.
Kari Kaleva Vilonen is a Finnish mathematician, specializing in geometric representation theory. He is currently a professor at the University of Melbourne.
Gan Wee Teck is a Malaysian-born Singaporean mathematician. He is a Distinguished Professor of Mathematics at the National University of Singapore (NUS). He is known for his work on automorphic forms and representation theory in the context of the Langlands program, especially the theory of theta correspondence, the Gan–Gross–Prasad conjecture and the Langlands program for Brylinski–Deligne covering groups.
Christopher McLean Skinner is an American mathematician and professor at Princeton University. He works in algebraic number theory and arithmetic aspects of the Langlands program.
Laurent Fargues is a French mathematician working in number theory and arithmetic geometry.
Jessica Fintzen is a German mathematician whose research concerns the representation theory of algebraic groups over the p-adic numbers, with connections to the Langlands program. She is a professor at the University of Bonn.
References
- ↑ Date information sourced from Library of Congress Authorities data, via corresponding WorldCat Identities linked authority file (LAF).
- 1 2 2014 Award for Distinguished Public Service Notices of the AMS Vol 61, No 4, April 2014
- ↑ The Math Alliance and Its Roots in the African American Community by David Goldberg and Phil Kutzko, Notices of the AMS Vol 65, No 2, February 2018
- ↑ Newsmaker: Philip Kutzko By IAM Staff, Iowa Alumni Magazine, October 2009
- ↑ Kutzko, Philip (1980). "The Langlands Conjecture for Gl2 of a Local Field". Annals of Mathematics . 112 (2): 381–412. doi:10.2307/1971151. JSTOR 1971151.
- ↑ List of Fellows of the American Mathematical Society, retrieved 2014-12-17
- ↑ On the Supercuspidal Representations of GL2The Johns Hopkins University Press, Feb, 1978
- ↑ New Developments in Representation Theory of p-adic Groups Mathematisches Forschungsinstitut Oberwolfach, 5 October 2019, DOI: 10.4171
- 1 2 Philip Kutzko - Principal Investigator National Science Foundation Grants, Sep 1, 2009
- ↑ This award was presented to Dr. Kutzko by President Obama in a White House ceremony in January 2010.
- ↑ Awarded to The University of Iowa mathematics department, under Kutzko's leadership
