Maynard, James

James maynard
James maynard
	English James maynard
Date of Birth	June 10, 1987 (32 years old)
Place of Birth	Chelmsford
A country	Great Britain
Scientific field	maths
Place of work	Oxford University , University of Montreal
Alma mater	Cambridge University , Oxford University
Academic degree	Bachelor of Science , Master
supervisor	Roger Heath Brown
Awards and prizes	SASTRA Ramanujan Prize (2014), Whitehead Award (2015), European Mathematical Society Award (2016)
Site	magd.ox.ac.uk/member-of-...

James Maynard ( born James Maynard ; born June 10, 1987 in Chelmsford UK ) ^[1] is an English mathematician who is best known for his work on the intervals between primes ^[1] .

Content

Scientific activity

In November 2013, he put forward another proof of Zhang Ethan's theorem ^[2] ^[3] , which states that there are gaps between the strokes, showing in symbols $m$ ${\ displaystyle m}$ there are many endless intervals that are held back - $m$ ${\ displaystyle m}$ -, by a prime number ^[4] ^[5] . This work provoked progress in the Hardy-Littlewood hypothesis, a symbol $m$ ${\ displaystyle m}$ - establishes that the positive part $m$ ${\ displaystyle m}$ -, satisfied with the regular tag $m$ ${\ displaystyle m}$ ^[6] ^[7] . Maynard's approach made it possible to:

Combinatorics

\liminf _{n\to \infty }\left(p_{n+1}-p_{n}\right)\leq 600,

{\ displaystyle \ liminf _ {n \ to \ infty} \ left (p_ {n + 1} -p_ {n} \ right) \ leq 600,}

.

The formula improved the previous ones developed in the Polymath 8 project ^[8] . (In other words, he showed that there is an infinite prime number equal to 600). To do this, Polymath 8b ^[9] was created, Maynard and his colleagues were able to reduce the number to 252 ^[8] .

February 14, 2014 after Zhang's announcement on the Polymath wiki $N$ ${\ displaystyle N}$ the number was reduced to 246 ^[8] . Further, using the Elliott-Halberstam hypothesis with its generalized formula, Polymath affirms the symbol $N$ ${\ displaystyle N}$ and reduces the numbers 12 and 6, respectively ^[8] .

In August 2014, Maynard ^[10] ^[7] solved the Erdös problem associated with large gaps between strokes, for which he received a cash prize of $ 10 thousand ^[11] .

James graduated from the undergraduate and graduate programs at Cambridge University . Roger Heath-Brown ^[12] was his research supervisor at the University of Oxford ^[12] ^[1] . From 2013-2014, Maynard worked as a doctoral student at the University of Montreal ^[13] .

In 2014, he was awarded the SASTRA Ramanujan Prize Mathematical Prize ^[1] ^[14] ^[15] .

Rewards

SASTRA Ramanujan Award (2014).
Whitehead Award (2015).
European Mathematical Society Award (2016).

Notes

↑ ¹ ² ³ ⁴ Krishnaswami. A. James Maynard to Receive 2014 SASTRA Ramanujan Prize . qseries.org. (March 4, 2017).
↑ Zhang, Yitang. Bounded gaps between primes (neopr.) . Annals of Mathematics. Princeton University and the Institute for Advanced Study ..
↑ Yitang Zhang. Bounded gaps between primes (Eng.) // Annals of Mathematics. - 2014 .-- T. 179 , no. 3 . - S. 1121–1174 . - ISSN 0003-486X . - DOI : 10.4007 / annals.2014.179.3.7 .
↑ Mathematicians Team Up on Twin Primes Conjecture | Simons Foundation (unopened) (unreachable link) (November 20, 2013). Date of treatment December 16, 2017. Archived on November 20, 2013.
↑ Mathematicians Team Up on Twin Primes Conjecture | Quanta Magazine , Quanta Magazine . Archived on November 20, 2013. Date of treatment December 16, 2017.
↑ James Maynard. Small gaps between primes // arXiv: 1311.4600 [math]. - 2013-11-18.
↑ ¹ ² Mathematics . arxiv.org. Date of treatment December 16, 2017.
↑ ¹ ² ³ ⁴ Bounded gaps between primes - Polymath1Wiki . michaelnielsen.org. Date of treatment December 16, 2017.
↑ Polymath8b: Bounded intervals with many primes, after Maynard (English) , What's new (November 20, 2013). Date of treatment December 16, 2017.
↑ James Maynard. Large gaps between primes // arXiv: 1408.5110 [math]. - 2014-08-21.
↑ Magazine, Erica Klarreich, Quanta . Mathematicians Make a Major Discovery About Prime Numbers , WIRED . Date of treatment December 16, 2017.
↑ ¹ ² James Maynard - The Mathematics Genealogy Project (Neopr.) . www.genealogy.math.ndsu.nodak.edu. Date of treatment December 16, 2017.
↑ Dr James Maynard | Magdalen College Oxford (inaccessible link) . www.magd.ox.ac.uk. Date of treatment December 16, 2017. Archived on May 20, 2018.
↑ Krishnaswami. A. Maynard Awarded 2014 SASTRA Ramanujan Prize . Notices of the AMS (December 16, 2017).
↑ American Mathematical Society. Notices of the American Mathematical Society. . - Providence: American Mathematical Society, 1995. - ISBN 10889477.

Links

magd.ox.ac.uk/member-of-staff/james-maynard/ (English) - the official website of James Maynard
Maynard interviewed by Brady Haran

[:0-1] ¹ ² ³ ⁴ Krishnaswami. A. James Maynard to Receive 2014 SASTRA Ramanujan Prize . qseries.org. (March 4, 2017).

[2] Zhang, Yitang. Bounded gaps between primes (neopr.) . Annals of Mathematics. Princeton University and the Institute for Advanced Study ..

[3] Yitang Zhang. Bounded gaps between primes (Eng.) // Annals of Mathematics. - 2014 .-- T. 179 , no. 3 . - S. 1121–1174 . - ISSN 0003-486X . - DOI : 10.4007 / annals.2014.179.3.7 .

[4] Mathematicians Team Up on Twin Primes Conjecture | Simons Foundation (unopened) (unreachable link) (November 20, 2013). Date of treatment December 16, 2017. Archived on November 20, 2013.

[5] Mathematicians Team Up on Twin Primes Conjecture | Quanta Magazine , Quanta Magazine . Archived on November 20, 2013. Date of treatment December 16, 2017.

[6] James Maynard. Small gaps between primes // arXiv: 1311.4600 [math]. - 2013-11-18.

[автоссылка1-7] ¹ ² Mathematics . arxiv.org. Date of treatment December 16, 2017.

[:1-8] ¹ ² ³ ⁴ Bounded gaps between primes - Polymath1Wiki . michaelnielsen.org. Date of treatment December 16, 2017.

[9] Polymath8b: Bounded intervals with many primes, after Maynard (English) , What's new (November 20, 2013). Date of treatment December 16, 2017.

[10] James Maynard. Large gaps between primes // arXiv: 1408.5110 [math]. - 2014-08-21.

[11] Magazine, Erica Klarreich, Quanta . Mathematicians Make a Major Discovery About Prime Numbers , WIRED . Date of treatment December 16, 2017.

[:2-12] ¹ ² James Maynard - The Mathematics Genealogy Project (Neopr.) . www.genealogy.math.ndsu.nodak.edu. Date of treatment December 16, 2017.

[13] Dr James Maynard | Magdalen College Oxford (inaccessible link) . www.magd.ox.ac.uk. Date of treatment December 16, 2017. Archived on May 20, 2018.

[14] Krishnaswami. A. Maynard Awarded 2014 SASTRA Ramanujan Prize . Notices of the AMS (December 16, 2017).

[15] American Mathematical Society. Notices of the American Mathematical Society. . - Providence: American Mathematical Society, 1995. - ISBN 10889477.

James maynard
English James maynard

Date of Birth	June 10, 1987 ( 1987-06-10 ) (32 years old)
Place of Birth	Chelmsford
A country	Great Britain
Scientific field	maths
Place of work	Oxford University , University of Montreal
Alma mater	Cambridge University , Oxford University
Academic degree	Bachelor of Science , Master
supervisor	Roger Heath Brown
Awards and prizes	SASTRA Ramanujan Prize (2014), Whitehead Award (2015), European Mathematical Society Award (2016)
Site	magd.ox.ac.uk/member-of-...