Related Research Articles
John Torrence Tate Jr. was an American mathematician distinguished for many fundamental contributions in algebraic number theory, arithmetic geometry, and related areas in algebraic geometry. He was awarded the Abel Prize in 2010.
In number theory, the Heegner theorem establishes the complete list of the quadratic imaginary number fields whose rings of integers are principal ideal domains. It solves a special case of Gauss's class number problem of determining the number of imaginary quadratic fields that have a given fixed class number.
In mathematics, the Birch and Swinnerton-Dyer conjecture describes the set of rational solutions to equations defining an elliptic curve. It is an open problem in the field of number theory and is widely recognized as one of the most challenging mathematical problems. It is named after mathematicians Bryan John Birch and Peter Swinnerton-Dyer, who developed the conjecture during the first half of the 1960s with the help of machine computation. As of 2024, only special cases of the conjecture have been proven.
Michael Hartley Freedman is an American mathematician at Microsoft Station Q, a research group at the University of California, Santa Barbara. In 1986, he was awarded a Fields Medal for his work on the 4-dimensional generalized Poincaré conjecture. Freedman and Robion Kirby showed that an exotic ℝ4 manifold exists.
Harold Mead Stark is an American mathematician, specializing in number theory. He is best known for his solution of the Gauss class number 1 problem, in effect correcting and completing the earlier work of Kurt Heegner, and for Stark's conjecture. More recently, he collaborated with Audrey Terras to study zeta functions in graph theory. He is currently on the faculty of the University of California, San Diego.
Noam David Elkies is a professor of mathematics at Harvard University. At the age of 26, he became the youngest professor to receive tenure at Harvard. He is also a pianist, chess national master and a chess composer.
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).
Shou-Wu Zhang is a Chinese-American mathematician known for his work in number theory and arithmetic geometry. He is currently a Professor of Mathematics at Princeton University.
Bryan John Birch FRS is a British mathematician. His name has been given to the Birch and Swinnerton-Dyer conjecture.
Burton Spencer Dreben was an American philosopher specializing in mathematical logic. A Harvard graduate who taught at his alma mater for most of his career, he published little but was a teacher and a critic of the work of his colleagues.
In number theory, the Stark conjectures, introduced by Stark and later expanded by Tate, give conjectural information about the coefficient of the leading term in the Taylor expansion of an Artin L-function associated with a Galois extension K/k of algebraic number fields. The conjectures generalize the analytic class number formula expressing the leading coefficient of the Taylor series for the Dedekind zeta function of a number field as the product of a regulator related to S-units of the field and a rational number.
In mathematics, a Heegner point is a point on a modular curve that is the image of a quadratic imaginary point of the upper half-plane. They were defined by Bryan Birch and named after Kurt Heegner, who used similar ideas to prove Gauss's conjecture on imaginary quadratic fields of class number one.
Alexander A. Beilinson is the David and Mary Winton Green University professor at the University of Chicago and works on mathematics. His research has spanned representation theory, algebraic geometry and mathematical physics. In 1999, Beilinson was awarded the Ostrowski Prize with Helmut Hofer. In 2017, he was elected to the National Academy of Sciences. In 2018, he received the Wolf Prize in Mathematics and in 2020 the Shaw Prize in Mathematics.
Robert Leamon Bryant is an American mathematician. He works at Duke University and specializes in differential geometry.
Dipendra Prasad is an Indian mathematician. He is a professor of mathematics at the Indian Institute of Technology Bombay. He is a number theorist known for his work in the areas of automorphic representations and the Gan–Gross–Prasad conjecture. He was the president of Commission for Developing Countries (CDC) of International Mathematical Union (2018–2022) and of Indian Math Society (2021–2022).
Wei Zhang is a Chinese mathematician specializing in number theory. He is currently a Professor of Mathematics at the Massachusetts Institute of Technology.
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.
In mathematics, the Gan–Gross–Prasad conjecture is a restriction problem in the representation theory of real or p-adic Lie groups posed by Gan Wee Teck, Benedict Gross, and Dipendra Prasad. The problem originated from a conjecture of Gross and Prasad for special orthogonal groups but was later generalized to include all four classical groups. In the cases considered, it is known that the multiplicity of the restrictions is at most one and the conjecture describes when the multiplicity is precisely one.
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.
Samit Dasgupta is a professor of mathematics at Duke University working in algebraic number theory.
References
- ↑ Eisner <deisner@ucsd.edu>, Daryl. "UCSD Math | Profile for Benedict Gross". UCSD Math | Profile for Benedict Gross.
- 1 2 3 Curriculum vitae from Gross' web site at Harvard, retrieved 2010-04-21.
- ↑ Benedict Gross at the Mathematics Genealogy Project
- ↑ Gross Officially Named Dean of the College, Harvard Crimson , April 8, 2003; Gross Stretches to Prepare for New Roles, Harvard Crimson , May 16, 2003; With Goals Accomplished, Gross Leaves Overhauled College: His efforts were to 'improve the undergraduate experience,' dean says, Harvard Crimson , June 29, 2007; Exit Gross, Harvard Crimson , September 21, 2007.
- ↑ "It's My Turn (1980) Snake Lemma". YouTube . Archived from the original on 2021-12-22.
- ↑ "Benedict Gross – Miscellaneous Crew". IMDb.com.
- ↑ "Lights, Camera and Algebraic Topology". thecrimson.com. 2003-10-23. Retrieved 2023-12-31.
- ↑ "Benedict H. Gross". MacArthur Foundation. 2023-12-14. Retrieved 2023-12-31.
- ↑ Frank Nelson Cole Prize in Number Theory, AMS, retrieved 2010-04-21.
- ↑ List of Fellows of the American Mathematical Society, retrieved 2013-01-19.
- ↑ List of Active Members by Classes Archived 2005-05-06 at the Wayback Machine , American Academy of Arts and Sciences, retrieved 2010-04-21.
- ↑ National Academies news: 72 new members chosen by academy Archived 2016-03-03 at the Wayback Machine , The National Academies, April 2004, retrieved 2010-04-21.
- ↑ "American Philosophical Society: Newly Elected – April 2017". Archived from the original on 2017-09-15. Retrieved 2017-06-13.
