mathematics, arithmetic combinatorics is a field in the intersection of number theory, combinatorics, ergodic theory and harmonic analysis. Arithmetic combinatorics...

making combinatorics into an independent branch of mathematics in its own right. One of the oldest and most accessible parts of combinatorics is graph...

partial differential equations, algebraic combinatorics, arithmetic combinatorics, geometric combinatorics, probability theory, compressed sensing and...

Additive combinatorics is an area of combinatorics in mathematics. One major area of study in additive combinatorics are inverse problems: given the size...

major contributions to the theory of progression-free sets in arithmetic combinatorics and to the theory of irregularities of distribution. He was also...

Julia Wolf is a British mathematician specialising in arithmetic combinatorics who was the 2016 winner of the Anne Bennett Prize of the London Mathematical...

Algebraic combinatorics Analytic combinatorics Arithmetic combinatorics Combinatorics on words Combinatorial design theory Enumerative combinatorics Extremal...

started by Mikio Sato. Algebraic combinatorics an area that employs methods of abstract algebra to problems of combinatorics. It also refers to the application...

Erdős' conjecture on arithmetic progressions, often referred to as the Erdős–Turán conjecture, is a conjecture in arithmetic combinatorics (not to be confused...

In arithmetic combinatorics, Szemerédi's theorem is a result concerning arithmetic progressions in subsets of the integers. In 1936, Erdős and Turán conjectured...

mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is...

supervision of Timothy Gowers, with a thesis entitled Topics in arithmetic combinatorics (2003). During his PhD he spent a year as a visiting student at...

1088/0026-1394/31/6/013. Peano, Giuseppe (1889). Arithmetices principia, nova methodo exposita [The principles of arithmetic, presented by a new method]. An excerpt...

In elementary arithmetic, a carry is a digit that is transferred from one column of digits to another column of more significant digits. It is part of...

University Research Fellow at the University of Manchester. He works in arithmetic combinatorics and analytic number theory. Thomas did his undergraduate degree...

these equations. Diophantine geometry is part of the broader field of arithmetic geometry. Four theorems in Diophantine geometry that are of fundamental...

mathematics, modular arithmetic is a system of arithmetic operations for integers, other than the usual ones from elementary arithmetic, where numbers "wrap...

Problems involving arithmetic progressions are of interest in number theory, combinatorics, and computer science, both from theoretical and applied points...

Sarah Anne Peluse is an American mathematician specializing in arithmetic combinatorics and analytic number theory, and known for her research on generalizations...

ISBN 9783110283600 Green, Ben (2005), "Finite field models in additive combinatorics", Surveys in Combinatorics 2005, Cambridge University Press, pp. 1–28, arXiv:math/0409420...

procedure (i.e. an algorithm) is capable of proving all truths about the arithmetic of natural numbers. For any such consistent formal system, there will...

describes the way in which the algebraic fundamental group G of a certain arithmetic variety X, or some related geometric object, can help to recover X. The...

fields of discrete mathematics, theoretical computer science, arithmetic combinatorics and discrete geometry. He is best known for his proof from 1975...

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains...

Algorithmic Problems". In Tabachnikov, Serge (ed.). Kvant Selecta: Combinatorics, I: Combinatorics, I. American Mathematical Soc. ISBN 978-0-8218-2171-8. Vaccaro...

Cambridge, where he was awarded a PhD in 2007 for research on arithmetic combinatorics supervised by Timothy Gowers. He held a Junior Research Fellowship...

The mathematical field of combinatorics was studied to varying degrees in numerous ancient societies. Its study in Europe dates to the work of Leonardo...

(combinatorics) Alspach's theorem (graph theory) Aztec diamond theorem (combinatorics) BEST theorem (graph theory) Baranyai's theorem (combinatorics)...

further applications. He also introduced the Gowers norms, a tool in arithmetic combinatorics, and provided the basic techniques for analysing them. This work...

primes. Erdős conjecture on arithmetic progressions Dirichlet's theorem on arithmetic progressions Arithmetic combinatorics Green, Ben; Tao, Terence (2008)...