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Dr James MaynardBack to People

j-maynard
Subjects: Mathematics (and Joint Honours)
Department: Mathematics
College appointment: Fellow by Examination
Academic position: Clay Research Fellow

Background

James Maynard obtained his BA and master’s degrees in mathematics from Cambridge University. He then moved to Oxford where he complete a DPhil under the supervision of Professor Heath-Brown. He joined Magdalen as a Fellow by Examination in 2013. In the academic year 2013-2014 he was on leave of absence from Magdalen as a CRM-ISM postdoctoral fellow at the Université de Montréal. From 2015 he has been employed as a research fellow of the Clay mathematics Institute.

Research

James is primarily interested in classical number theory, especially the distribution of prime numbers. His research focuses on using tools from analytic number theory, particularly sieve methods, to study the primes.

In 2014 he was awarded the SASTRA Ramanujan prize and in 2015 he was awarded the LMS Whitehead prize.

Teaching

James has taught the undergraduate classes for the Elliptic curves and Analytic Number Theory courses at Oxford and graduate summer school courses at Oxford, MSRI and Beijing.

Selected Publications

  • “Small gaps between primes” Ann. of Math. (2) 181 (2015), no. 1, 383-413.
  • “Large gaps between primes” Ann. of Math. (2) 183 (2016), no. 3, 915-933.
  • “Dense clusters of primes in subsets” Compositio Math. 152 (2016), no. 7, 1517-1554 .
  • “Long gaps between consecutive primes” (joint with Ford, K., Green, B., Konyagin, S., and Tao, T.) http://arxiv.org/abs/1412.5029
  • “Primes represented by incomplete norm forms” http://arxiv.org/abs/1507.05080
  • “Primes with restricted digits” http://arxiv.org/abs/1604.01041