James Maynard

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James Maynard, Oberwolfach 2013

James Maynard (born June 10, 1987 in Chelmsford ) is a British mathematician who deals with analytical number theory and especially sieving methods.

Maynard studied mathematics up to a master’s degree at the University of Cambridge and received his PhD in 2013 from the University of Oxford with Roger Heath-Brown ( Topics in Analytic Number Theory ). He was a post-doctoral student at the University of Montreal in 2013/14 . He has been a Fellow of Magdalen College, Oxford since 2013.

In 2013, he used an independent method to tighten a result by Yitang Zhang from the environment of the prime number twin conjecture by proving that there are an infinite number of prime number pairs with a difference less than or equal to 600. The barrier has since been lowered further. In addition, he showed with his method that there are infinitely many m-tuples of consecutive prime numbers with a limited distance.

His dissertation is also mentioned in the SASTRA-Ramanujan Prize, his work from 2013 (Acta Arithmetica) with the sharpest known form of the Brun-Titchmarsh inequality and his work in Mathematika from 2014, in which he lists all the results known so far tightened over fast-prime k-tuples.

In 2016, he proved Paul Erdös' assumption about prime number gaps , on which he had placed $ 10,000 in prize money. Terence Tao and colleagues independently proved this . In 2019 Maynard and Dmitris Koukoulopoulos proved the Duffin-Schaeffer conjecture.

In 2015 he received the Whitehead Prize and in 2014 the SASTRA Ramanujan Prize . In 2015 he became a Clay Research Fellow. In 2016 he received the EMS Prize . He is invited speaker at the ICM 2018 ( Gaps between primes ). Maynard was awarded the Cole Prize in number theory for 2020 .

Fonts

  • 3-tuples have at most 7 prime factors infinitely often, Proc. Cambridge Philosophical Society, Volume 155, 2013, pp. 443-457, Arxiv
  • On the Brun-Titchmarsh Theorem, Acta Arithmetica, Volume 157, 2013, pp. 249-296, Arxiv
  • Almost-prime k-tuples, Mathematika, Volume 60, 2014, pp. 108-138, Arxiv
  • Large gaps between primes, 2014, Arxiv
  • Small gaps between primes, Annals of Mathematics, Volume 181, 2015, pp. 383-413, Arxiv

Web links

References and comments

  1. ↑ James Maynard in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ James Maynard, Large gaps between primes, Annals of Mathematics, Volume 183, 2016, pp. 915-922
  3. ↑ Kevin Ford, Ben Green, Sergei Konyagin, Terence Tao, Large gaps between consecutive prime numbers, Ann. of Math., Volume 183, 2016, pp. 935-974
  4. ↑ Koukoulopoulos, Maynard: On the Duffin-Schaeffer conjecture, Arxiv 2019
  5. ↑ SASTRA-Ramanjuan Prize for Maynard, Notices AMS, 2014, No. 11, pdf
  6. ^ Clay Research Fellow 2015
personal data
SURNAME Maynard, James
BRIEF DESCRIPTION British mathematician
DATE OF BIRTH June 10, 1987
PLACE OF BIRTH Chelmsford