Related Research Articles
In representation theory and algebraic number theory, 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."
Don Bernard Zagier is an American-German mathematician whose main area of work is number theory. He is currently one of the directors of the Max Planck Institute for Mathematics in Bonn, Germany. He was a professor at the Collège de France in Paris from 2006 to 2014. Since October 2014, he is also a Distinguished Staff Associate at the International Centre for Theoretical Physics (ICTP).
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.
Michael Rapoport is an Austrian mathematician.
Kai Behrend is a German mathematician. He is a professor at the University of British Columbia in Vancouver, British Columbia, Canada.
Kari Kaleva Vilonen is a Finnish mathematician, specializing in geometric representation theory. He is currently a professor at the University of Melbourne.
Vincent Pilloni is a French mathematician, specializing in arithmetic geometry and the Langlands program.
Mihnea Popa is a Romanian-American mathematician at Harvard University, specializing in algebraic geometry. He is known for his work on complex birational geometry, Hodge theory, abelian varieties, and vector bundles.
Jun-Muk Hwang is a South Korean mathematician, specializing in algebraic geometry and complex differential geometry.
Gan Wee Teck is a Malaysian 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.
Roberto Longo is an Italian mathematician, specializing in operator algebras and quantum field theory.
Anton Yurevich Alekseev is a Russian mathematician.
Shen Weixiao is a Chinese mathematician, specializing in dynamical systems.
Eric Jean-Paul Urban is a professor of mathematics at Columbia University working in number theory and automorphic forms, particularly Iwasawa theory.
Jacques Tilouine is a professor of mathematics at Université Sorbonne Paris Nord working in number theory and automorphic forms, particularly Iwasawa theory.
Sug Woo Shin is a professor of mathematics at the University of California, Berkeley working in number theory, automorphic forms, and the Langlands program.
Philipp Habegger is a Swiss mathematician and a professor of mathematics at the University of Basel who works in Diophantine geometry.
Bhargav Bhatt is an Indian-American mathematician who is the Fernholz Joint Professor at the Institute for Advanced Study and Princeton University and works in arithmetic geometry and commutative algebra.
Thomas Hermann Geisser is a German mathematician working at Rikkyo University. He works in the field of arithmetic geometry, motivic cohomology and algebraic K-theory.
Tsachik Gelander is an Israeli mathematician working in the fields of Lie groups, topological groups, symmetric spaces, lattices and discrete subgroups. He is a professor in Northwestern University.
References
- 1 2 3 4 5 6 7 8 9 "Frank Calegari (WebCV)" (PDF). Frank Calegari. Retrieved 2 September 2024.
- ↑ "Frank Calegari". International Mathematical Olympiad . Retrieved 6 March 2020.
- ↑ Frank Calegari at the Mathematics Genealogy Project
- 1 2 "Frank Calegari". University of Chicago . Retrieved 6 March 2020.
- ↑ "Francesco Damien Calegari". Institute for Advanced Study. 9 December 2019. Retrieved 6 March 2020.
- ↑ "Mathematische Zeitschrift | Editors". Springer Science+Business Media . Retrieved 6 March 2020.
- ↑ "Editorial Board". Annals of Mathematics. Retrieved 6 March 2020.
- ↑ "Frank Calegari". Frank Calegari. Retrieved 6 March 2020.
- ↑ "Family, Collaborators, Students" . Retrieved 6 March 2020.
