Finite field models in arithmetic combinatorics – ten years on

Julia Wolf

Research output: Contribution to journalArticle (Academic Journal)peer-review

16 Citations (Scopus)
352 Downloads (Pure)


It has been close to ten years since the publication of Green's influential survey Finite field models in additive combinatorics, in which the author championed the use of high-dimensional vector spaces over finite fields as a toy model for tackling additive problems concerning the integers. The path laid out by Green has proven to be a very successful one to follow. In the present article we survey the highlights of the past decade and outline the challenges for the years to come.
Original languageEnglish
Pages (from-to)233-274
Number of pages42
JournalFinite Fields and Their Applications
Early online date26 Nov 2014
Publication statusPublished - 1 Mar 2015


  • Arithmetic combinatorics


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