Stephen Samuel Gelbart (born June 12, 1946) is an American-Israeli mathematician who holds the Nicki and J. Ira Harris Professorial Chair in mathematics at the Weizmann Institute of Science in Israel. [1] He was named a fellow of the American Mathematical Society in 2013 "for contributions to the development and dissemination of the Langlands program." [2]
Gelbart was born in Syracuse, New York. He graduated from Cornell University in 1967, [1] and earned a Ph.D. from Princeton University in 1970, with a dissertation on Fourier analysis supervised by Elias M. Stein. [3] He returned to Cornell as an assistant professor in 1971, was promoted to full professor in 1980, moved to the Weizmann Institute in 1984, and was given his named chair in 1998. He was president of the Israel Mathematical Union from 1994 to 1996. [1] His doctoral students include Erez Lapid.
{{cite book}}: CS1 maint: multiple names: authors list (link) [4] In representation theory and algebraic number theory, 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."
Gorō Shimura was a Japanese mathematician and Michael Henry Strater Professor Emeritus of Mathematics at Princeton University who worked in number theory, automorphic forms, and arithmetic geometry. He was known for developing the theory of complex multiplication of abelian varieties and Shimura varieties, as well as posing the Taniyama–Shimura conjecture which ultimately led to the proof of Fermat's Last Theorem.
Joseph Hillel Silverman is a professor of mathematics at Brown University working in arithmetic geometry, arithmetic dynamics, and cryptography.
Carlos Julio Moreno is a Colombian mathematician and faculty member at Baruch College and at the Graduate Center of the City University of New York (CUNY).
Henryk Iwaniec is a Polish-American mathematician, and since 1987 a professor at Rutgers University.
John Brady Garnett is an American mathematician at the University of California, Los Angeles, known for his work in harmonic analysis. He received his Ph.D. at the University of Washington in 1966, under the supervision of Irving Glicksberg. He received the Steele Prize for Mathematical Exposition in 2003 for his book, Bounded Analytic Functions. As of June 2011, he has supervised the dissertations of 25 students including Peter Jones and Jill Pipher.
János Kollár is a Hungarian mathematician, specializing in algebraic geometry.
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.
In mathematics, the Langlands–Shahidi method provides the means to define automorphic L-functions in many cases that arise with connected reductive groups over a number field. This includes Rankin–Selberg products for cuspidal automorphic representations of general linear groups. The method develops the theory of the local coefficient, which links to the global theory via Eisenstein series. The resulting L-functions satisfy a number of analytic properties, including an important functional equation.
Michael Howard Harris (born 1954) 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 (alongside Richard Taylor) won the 2007 Clay Research Award. In particular, he (jointly with Taylor) proved the local Langlands conjecture for GL(n) over a p-adic local field (Harris & Taylor 2001), and he was part of the team that proved the Sato–Tate conjecture. He was elected a member of the National Academy of Sciences in 2022.
In mathematics, an automorphic L-function is a function L(s,π,r) of a complex variable s, associated to an automorphic representation π of a reductive group G over a global field and a finite-dimensional complex representation r of the Langlands dual group LG of G, generalizing the Dirichlet L-series of a Dirichlet character and the Mellin transform of a modular form. They were introduced by Langlands.
In mathematics, the term standard L-function refers to a particular type of automorphic L-function described by Robert P. Langlands. Here, standard refers to the finite-dimensional representation r being the standard representation of the L-group as a matrix group.
Irwin Kra is an American mathematician, who works on the function theory in complex analysis.
Nolan Russell Wallach is a mathematician known for work in the representation theory of reductive algebraic groups. He is the author of the 2-volume treatise Real Reductive Groups.
Michael Eugene Taylor is an American mathematician, working in partial differential equations.
Haruzo Hida is a Japanese mathematician, known for his research in number theory, algebraic geometry, and modular forms.
Erez M. Lapid is an Israeli mathematician, specializing in automorphic forms, L-functions, representation theory, and the Selberg–Arthur trace formula.
Stephen James Rallis was an American mathematician who worked on group representations, automorphic forms, the Siegel–Weil formula, and Langlands L-functions.
David Soudry is a professor of mathematics at Tel Aviv University working in number theory and automorphic forms.
James Wesley Cogdell is an American mathematician.
| General | |
|---|---|
| National libraries | |
| Scientific databases | |
| Other | |
