Jan Hendrik Bruinier | |
|---|---|
 Bruinier at Oberwolfach, 2014 | |
| Born | October 21, 1971 |
| Nationality | German |
| Known for | Contributions to number theory, automorphic forms, and arithmetic geometry |
| Scientific career | |
| Fields | Mathematics |
Jan Hendrik Bruinier (born 21 October 1971) is a German mathematician, whose work focuses on number theory.
In 2011, together with Ken Ono, he developed a finite algebraic formula for the values of the partition function. [1] [2]
He was named to the 2023 class of Fellows of the American Mathematical Society, "for contributions to number theory, automorphic forms, and arithmetic geometry". [3]
Discrete mathematics is the study of mathematical structures that can be considered "discrete" rather than "continuous". Objects studied in discrete mathematics include integers, graphs, and statements in logic. By contrast, discrete mathematics excludes topics in "continuous mathematics" such as real numbers, calculus or Euclidean geometry. Discrete objects can often be enumerated by integers; more formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets. However, there is no exact definition of the term "discrete mathematics".
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 abstract algebra, an adelic algebraic group is a semitopological group defined by an algebraic group G over a number field K, and the adele ring A = A(K) of K. It consists of the points of G having values in A; the definition of the appropriate topology is straightforward only in case G is a linear algebraic group. In the case of G being an abelian variety, it presents a technical obstacle, though it is known that the concept is potentially useful in connection with Tamagawa numbers. Adelic algebraic groups are widely used in number theory, particularly for the theory of automorphic representations, and the arithmetic of quadratic forms.
In mathematics, the Tamagawa number of a semisimple algebraic group defined over a global field k is the measure of , where is the adele ring of k. Tamagawa numbers were introduced by Tamagawa, and named after him by Weil.
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 Weil conjecture on Tamagawa numbers is the statement that the Tamagawa number of a simply connected simple algebraic group defined over a number field is 1. In this case, simply connected means "not having a proper algebraic covering" in the algebraic group theory sense, which is not always the topologists' meaning.
In mathematics, Ramanujan's congruences are some remarkable congruences for the partition function p(n). The mathematician Srinivasa Ramanujan discovered the congruences
Ken Ono is an American mathematician who specializes in number theory, especially in integer partitions, modular forms, umbral moonshine, the Riemann Hypothesis and the fields of interest to Srinivasa Ramanujan. He is the STEM Advisor to the Provost and the Marvin Rosenblum Professor of Mathematics at the University of Virginia.
Alan Baker was an English mathematician, known for his work on effective methods in number theory, in particular those arising from transcendental number theory.
Harold Mortimer Edwards, Jr. was an American mathematician working in number theory, algebra, and the history and philosophy of mathematics.
Kai Behrend is a German mathematician. He is a professor at the University of British Columbia in Vancouver, British Columbia, Canada.
Wei Zhang is a Chinese mathematician specializing in number theory. He is currently a Professor of Mathematics at the Massachusetts Institute of Technology.
Takashi Ono is a retired Japanese-born American mathematician, specializing in number theory and algebraic groups.
In mathematics, a weak Maass form is a smooth function on the upper half plane, transforming like a modular form under the action of the modular group, being an eigenfunction of the corresponding hyperbolic Laplace operator, and having at most linear exponential growth at the cusps. If the eigenvalue of under the Laplacian is zero, then is called a harmonic weak Maass form, or briefly a harmonic Maass form.
Günter Harder is a German mathematician, specializing in arithmetic geometry and number theory.
Zhiwei Yun is a Professor of Mathematics at MIT specializing in number theory, algebraic geometry and representation theory, with a particular focus on the Langlands program.
Amanda L. Folsom is an American mathematician specializing in analytic number theory and its applications in combinatorics. She is a professor of mathematics at Amherst College, where she chairs the department of mathematics and statistics.
In mathematics, specifically in number theory, Newman's conjecture is a conjecture about the behavior of the partition function modulo any integer. Specifically, it states that for any integers m and r such that , the value of the partition function satisfies the congruence for infinitely many non-negative integers n. It was formulated by mathematician Morris Newman in 1960. It is unsolved as of 2020.
Samit Dasgupta is a professor of mathematics at Duke University working in algebraic number theory.
Jeb F. Willenbring is a Full Professor and Associate Chair for Graduate Mathematics at the University of Wisconsin-Milwaukee. Most of his research falls within the categories of Representation Theory, Discrete Mathematics, and Mathematical Physics. His current research consists of several collaborations concerning algebraic combinatorics and various aspects of Representation Theory. Willenbring has published multiple papers concerning the nature of Littlewood-Richardson coefficients, a particular focus of his, in collaboration with Professors Pamela Harris, Mark Colorusso, and William Erickson.
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