Paul Julius Oswald Teichmüller was a German mathematician who made contributions to complex analysis. He introduced quasiconformal mappings and differential geometric methods into the study of Riemann surfaces. Teichmüller spaces are named after him.
Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings of integers, finite fields, and function fields. These properties, such as whether a ring admits unique factorization, the behavior of ideals, and the Galois groups of fields, can resolve questions of primary importance in number theory, like the existence of solutions to Diophantine equations.
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.
John Griggs Thompson is an American mathematician at the University of Florida noted for his work in the field of finite groups. He was awarded the Fields Medal in 1970, the Wolf Prize in 1992, and the Abel Prize in 2008.
Hilbert's seventeenth problem is one of the 23 Hilbert problems set out in a celebrated list compiled in 1900 by David Hilbert. It concerns the expression of positive definite rational functions as sums of quotients of squares. The original question may be reformulated as:
Ernst Witt was a German mathematician, one of the leading algebraists of his time.
In mathematics, a composition algebraA over a field K is a not necessarily associative algebra over K together with a nondegenerate quadratic form N that satisfies
Yuval Zvi Flicker is an American mathematician. His primary research interests include automorphic representations.
Akshay Venkatesh is an Australian mathematician and a professor at the School of Mathematics at the Institute for Advanced Study. His research interests are in the fields of counting, equidistribution problems in automorphic forms and number theory, in particular representation theory, locally symmetric spaces, ergodic theory, and algebraic topology.
In mathematics, a Pfister form is a particular kind of quadratic form, introduced by Albrecht Pfister in 1965. In what follows, quadratic forms are considered over a field F of characteristic not 2. For a natural number n, an n-fold Pfister form over F is a quadratic form of dimension 2n that can be written as a tensor product of quadratic forms
Dorian Morris Goldfeld is an American mathematician working in analytic number theory and automorphic forms at Columbia University.
Ludwig Stickelberger was a Swiss mathematician who made important contributions to linear algebra and algebraic number theory.
Nikolaus Hofreiter was an Austrian mathematician who worked mainly in number theory.
Friedrich Karl Schmidt was a German mathematician, who made notable contributions to algebra and number theory.
Yasutaka Ihara is a Japanese mathematician and professor emeritus at the Research Institute for Mathematical Sciences. His work in number theory includes Ihara's lemma and the Ihara zeta function.
Tsit Yuen Lam is a Hong Kong-American mathematician specializing in algebra, especially ring theory and quadratic forms.
Günter Harder is a German mathematician, specializing in arithmetic geometry and number theory.
Joachim Schwermer is a German mathematician, specializing in number theory.
Jeffrey Ezra Hoffstein is an American mathematician, specializing in number theory, automorphic forms, and cryptography.
Winfried Scharlau was a German mathematician.
This page is based on this
Wikipedia article Text is available under the
CC BY-SA 4.0 license; additional terms may apply.
Images, videos and audio are available under their respective licenses.
