Enrico Bombieri is an Italian mathematician, known for his work in analytic number theory, Diophantine geometry, complex analysis, and group theory. Bombieri is currently Professor Emeritus in the School of Mathematics at the Institute for Advanced Study in Princeton, New Jersey. Bombieri won the Fields Medal in 1974 for his contributions to large sieve mathematics, conceptualized by Linnick 1941, and its application to the distribution of prime numbers.
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers, or defined as generalizations of the integers.
In mathematics, Diophantine geometry is the study of Diophantine equations by means of powerful methods in algebraic geometry. By the 20th century it became clear for some mathematicians that methods of algebraic geometry are ideal tools to study these equations. Diophantine geometry is part of the broader field of arithmetic geometry.
Yuri Ivanovich Manin was a Russian mathematician, known for work in algebraic geometry and diophantine geometry, and many expository works ranging from mathematical logic to theoretical physics.
Joseph Hillel Silverman is a professor of mathematics at Brown University working in arithmetic geometry, arithmetic dynamics, and cryptography.
David Rodney "Roger" Heath-Brown is a British mathematician working in the field of analytic number theory.
This is a glossary of arithmetic and diophantine geometry in mathematics, areas growing out of the traditional study of Diophantine equations to encompass large parts of number theory and algebraic geometry. Much of the theory is in the form of proposed conjectures, which can be related at various levels of generality.
A height function is a function that quantifies the complexity of mathematical objects. In Diophantine geometry, height functions quantify the size of solutions to Diophantine equations and are typically functions from a set of points on algebraic varieties to the real numbers.
Gisbert Wüstholz is a German mathematician internationally known for his fundamental contributions to number theory and arithmetic geometry.
Alexander Lubotzky is an Israeli mathematician and former politician who is currently a professor at the Weizmann Institute of Science and an adjunct professor at Yale University. He served as a member of the Knesset for The Third Way party between 1996 and 1999. In 2018 he won the Israel Prize for his accomplishments in mathematics and computer science.
Harald Andrés Helfgott is a Peruvian mathematician working in number theory. Helfgott is a researcher at the CNRS at the Institut Mathématique de Jussieu, Paris. He is best known for submitting a proof, now widely accepted but not yet fully published, of Goldbach's weak conjecture.
Vijaya Kumar Murty is an Indo-Canadian mathematician working primarily in number theory. He is a professor at the University of Toronto and is the Director of the Fields Institute.
Andrea Malchiodi is an Italian mathematician who is active in the fields of partial differential equations and calculus of variations, with several contributions to geometric analysis.
Klaus D. Schmidt is an Austrian mathematician and retired professor at the Faculty of Mathematics, University of Vienna.
In mathematics, the determinant method is any of a family of techniques in analytic number theory.
Xiaonan Ma is a Chinese mathematician working in global analysis and local index theory.
The Ferran Sunyer i Balaguer Prize is a prize in mathematics, first awarded in 1993. It honors Spanish mathematician Ferran Sunyer i Balaguer (1912–1967), a self-taught Catalan mathematician who, despite significant physical disability, was very active in research in classical analysis. This award acknowledges an outstanding mathematical monograph of an expository nature, presenting the latest developments in an active area of mathematics research. The annually awarded prize consists of €15,000 as of 2017. The winning monograph is also published in Birkhauser-Verlag's series Progress in Mathematics. It is awarded by the Ferran Sunyer i Balaguer Foundation.
Rosa M. Miró-Roig is a professor of mathematics at the University of Barcelona, specializing in algebraic geometry and commutative algebra. She did her graduate studies at the University of Barcelona, earning a Ph.D. in 1985 under the supervision of Sebastià Xambó-Descamps with a thesis entitled Haces reflexivos sobre espacios proyectivos.
Xavier Tolsa is a Catalan mathematician, specializing in analysis.
George Marinescu is a Romanian mathematician, specializing in complex geometry, global analysis, and spectral theory.
