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Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence (16 December 2014). "Long gaps between primes".
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Breuillard, Emmanuel; Green, Ben; Tao, Terence (1 November 2012). "The structure of approximate groups".
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Green, B. (1 April 2005). "A Szemerédi-type regularity lemma in abelian groups, with applications".
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Green, Ben; Tao, Terence (2008). "The Primes
Contain Arbitrarily Long Arithmetic Progressions".
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Eberhard, Sean; Ford, Kevin; Green, Ben (23 December 2015). "Permutations Fixing a k-set".
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Amongst Green's early results in additive combinatorics are an improvement of a result of
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of prime order is coloured with a fixed number of colours, then the field has elements
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theorem on sets of integers with small doubling. Green also has worked, jointly with
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Green, Ben; Tao, Terence (1 September 2013). "On Sets
Defining Few Ordinary Lines".
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math.NT/0404188 – Preprint on arbitrarily long arithmetic progressions on primes
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891:. He adapted these methods to prove, in function fields, a strong version of
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Green, Ben; Sanders, Tom (1 March 2016). "Monochromatic sums and products".
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Green, Ben (23 November 2016). "Sárközy's
Theorem in Function Fields".
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388:(born 27 February 1977) is a British mathematician, specialising in
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782:. The form of the previously best-known bound, essentially due to
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Green, B. (1 August 2002). "Arithmetic progressions in sumsets".
452:(2003). During his PhD he spent a year as a visiting student at
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GREEN, BEN (19 October 2004). "The
Cameron–Erdos Conjecture".
81:
from the article and its talk page, especially if potentially
36:
789:
More recently Green has considered questions in arithmetic
1259:"An inverse theorem for the Gowers U s+1 [N]-norm"
672:). In particular they prove that, given any collection of
1629:"List of LMS prize winners – London Mathematical Society"
744:
lines in the plane containing exactly two of the points.
617:
on topics in group theory. In particular, jointly with
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on 1 August 2013. He was also a
Research Fellow of the
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from
January 2005 to September 2006 and then the first
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The majority of Green's research is in the fields of
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List of
Fellows of the American Mathematical Society
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468:from September 2006 to August 2013. He became the
444:and earned his doctorate under the supervision of
1257:Green, Ben; Tao, Terence; Ziegler, Tamar (2012).
480:and held various positions at institutes such as
2310:International Mathematical Olympiad participants
1662:Ben Green Homepage at Trinity College, Cambridge
716:is large enough then there must exist at least
668:, resolving the Dirac-Motzkin conjecture (see
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1701:
664:Green and Tao also have a paper on algebraic
8:
2295:Fellows of the American Mathematical Society
1102:Bulletin of the London Mathematical Society
571:natural numbers, somewhat analogous to the
520:, states that there exist arbitrarily long
462:Herchel Smith Professor of Pure Mathematics
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1363:International Mathematics Research Notices
539:of the size of arithmetic progressions in
412:Ben Green was born on 27 February 1977 in
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74:about living persons that is unsourced or
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919:in 2013. He has received several awards:
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145:Learn how and when to remove this message
2340:Waynflete Professors of Pure Mathematics
2325:Recipients of the SASTRA Ramanujan Prize
797:he proved that, if a sufficiently large
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398:Waynflete Professor of Pure Mathematics
2265:Academics of the University of Bristol
1206:Green, Benjamin; Tao, Terence (2010).
786:, had not been improved for 76 years.
621:, they proved a structure theorem for
30:For other people named Ben Green, see
2305:Fellows of Trinity College, Cambridge
1667:Clay Research Award 2004 announcement
1645:Ben Green personal homepage at Oxford
1424:Discrete & Computational Geometry
692:points in the plane that are not all
490:Massachusetts Institute of Technology
317:Massachusetts Institute of Technology
7:
2270:Alumni of Trinity College, Cambridge
1551:The Quarterly Journal of Mathematics
1310:Publications Mathématiques de l'IHÉS
911:since 2012. Green was chosen by the
436:in mathematics in 1998, winning the
2290:Fellows of Magdalen College, Oxford
2260:21st-century English mathematicians
2255:20th-century English mathematicians
1155:Geometric & Functional Analysis
1059:Geometric & Functional Analysis
993:International Mathematical Olympiad
578:From 2004–2010, in joint work with
426:International Mathematical Olympiad
329:Topics in Arithmetic Combinatorics
450:Topics in arithmetic combinatorics
25:
613:Green has also collaborated with
27:British mathematician (born 1977)
1650:Ben Green faculty page at Oxford
907:since 2010, and a Fellow of the
41:
903:Green has been a Fellow of the
2280:Clay Research Award recipients
608:Hardy–Littlewood circle method
486:University of British Columbia
313:University of British Columbia
94:"Ben Green" mathematician
1:
1676:Mathematics Genealogy Project
949:European Mathematical Society
909:American Mathematical Society
588:higher order Fourier analysis
508:, but he also has results in
428:in 1994 and 1995. He entered
2300:Fellows of the Royal Society
1618:. Retrieved 19 January 2013.
1286:10.4007/annals.2012.176.2.11
1235:10.4007/annals.2010.171.1753
1208:"Linear equations in primes"
869:{\displaystyle x,y,x{+}y,xy}
543:, as well as a proof of the
52:biography of a living person
1028:10.4007/annals.2008.167.481
971:London Mathematical Society
913:German Mathematical Society
528:: this is now known as the
472:of Pure Mathematics at the
260:Fellow of the Royal Society
79:must be removed immediately
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876:all have the same colour.
573:Szemerédi regularity lemma
478:Clay Mathematics Institute
432:in 1995 and completed his
430:Trinity College, Cambridge
418:Bishop Road Primary School
214:Trinity College, Cambridge
32:Ben Green (disambiguation)
29:
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1446:10.1007/s00454-013-9518-9
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1071:10.1007/s00039-002-8258-4
586:, he developed so-called
448:, with a thesis entitled
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2275:Cambridge mathematicians
670:Sylvester–Gallai theorem
545:Cameron–Erdős conjecture
440:title. He stayed on for
422:Fairfield Grammar School
408:Early life and education
2345:Whitehead Prize winners
2320:Scientists from Bristol
637:, on the theory of the
522:arithmetic progressions
466:University of Cambridge
301:University of Cambridge
2086:SASTRA Ramanujan Prize
967:Senior Whitehead Prize
943:SASTRA Ramanujan Prize
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666:combinatorial geometry
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594:with objects known as
590:. This theory relates
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506:additive combinatorics
502:analytic number theory
270:Senior Whitehead Prize
250:SASTRA Ramanujan Prize
66:Please help by adding
1655:26 April 2014 at the
1263:Annals of Mathematics
1212:Annals of Mathematics
1006:Annals of Mathematics
887:without solutions to
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297:University of Bristol
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1573:10.1093/qmath/haw044
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547:on sum-free sets of
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474:University of Oxford
454:Princeton University
402:University of Oxford
309:Princeton University
305:University of Oxford
72:Contentious material
2335:Simons Investigator
1939:Thomas Platts-Mills
1781:John William Connor
1393:10.1093/imrn/rnv371
1385:2015arXiv150704465E
989:Ben Green's results
925:Clay Research Award
820:{\displaystyle x,y}
737:{\displaystyle n/2}
625:, generalising the
615:Emmanuel Breuillard
470:Waynflete Professor
424:, competing in the
235:Clay Research Award
2033:John B. Goodenough
1808:Hugh Durrant-Whyte
899:Awards and honours
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602:play in classical
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2028:Michael Goodchild
2023:Edmond H. Fischer
1966:Elizabeth Simpson
1918:Malcolm McCulloch
1850:Andrew Hattersley
1603:"- Royal Society"
1498:Discrete Analysis
1369:(21): 6713–6731.
958:, awarded by the
917:Gauss Lectureship
893:Sárközy's theorem
881:polynomial method
775:{\displaystyle X}
709:{\displaystyle n}
685:{\displaystyle n}
654:{\displaystyle k}
564:{\displaystyle N}
530:Green–Tao theorem
510:harmonic analysis
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368:Lilian Matthiesen
351:Doctoral students
279:Scientific career
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16:(Redirected from
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2158:
2157:James Maynard
2155:
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2149:
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2013:Carl Djerassi
2011:
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1803:Raymond Dolan
1801:
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791:Ramsey theory
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756:James Maynard
753:
750:, Ben Green,
749:
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731:
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723:
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671:
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648:
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636:
635:Sean Eberhard
632:
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627:Freiman-Ruzsa
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584:Tamar Ziegler
581:
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526:prime numbers
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90:Find sources:
84:
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58:
53:
48:
39:
38:
33:
19:
2217:Yunqing Tang
1992:Melvyn Bragg
1953:
1929:Robin Perutz
1924:Robin Murray
1916:
1911:Alan Lehmann
1909:
1904:Angus Lamond
1902:
1890:
1875:Peter Horton
1873:
1866:
1859:
1855:Craig Hawker
1839:Roger Hardie
1837:
1827:
1813:Lyndon Evans
1785:
1770:Peter Cawley
1768:
1754:Andrea Brand
1623:
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1225:math/0606088
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1158:
1154:
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1115:math/0304058
1105:
1101:
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1062:
1058:
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1019:math/0404188
1009:
1005:
999:
984:
902:
885:vector space
878:
799:finite field
788:
746:
663:
612:
596:nilsequences
592:Gowers norms
577:
575:for graphs.
534:
514:group theory
499:
449:
411:
396:. He is the
382:
381:
328:
293:Institutions
278:
156:
141:
135:January 2022
132:
122:
115:
108:
101:
89:
78:
61:verification
54:
2245:1977 births
2199:Adam Harper
2193:Jack Thorne
2109:Terence Tao
1955:Peter Rigby
1934:Max Pettini
1868:Ian Hickson
1744:Ian Affleck
931:Salem Prize
795:Tom Sanders
760:Terence Tao
619:Terence Tao
580:Terence Tao
518:Terence Tao
496:Mathematics
363:Vicky Neale
358:Adam Harper
288:Mathematics
240:Salem Prize
2239:Categories
2211:Will Sawin
2187:Yifeng Liu
2145:Zhiwei Yun
1976:Eric Wolff
1971:Alan Smith
1564:1605.07263
1511:1510.08733
1376:1507.04465
977:References
827:such that
748:Kevin Ford
631:Kevin Ford
600:characters
191:1977-02-27
105:newspapers
2205:Shai Evra
2133:Wei Zhang
2115:Ben Green
1944:Wolf Reik
1892:Lewis Kay
1828:Ben Green
1672:Ben Green
1589:119150134
1581:0033-5606
1536:119140038
1528:2397-3129
1482:1412.5029
1454:0179-5376
1437:1208.4714
1401:1073-7928
1348:119603959
1340:0073-8301
1323:1110.5008
1276:1006.0205
1185:1016-443X
1140:119615076
1132:0024-6093
1087:120755105
1079:1016-443X
694:collinear
255:EMS Prize
204:, England
163:Ben Green
57:citations
1985:Honorary
1723:elected
1653:Archived
1462:15813230
1409:15188628
1295:23350588
1244:20752252
1193:17451915
1036:40345354
442:Part III
83:libelous
2001:Foreign
1861:Ron Hay
1732:Fellows
1725:in 2010
1719:of the
1717:Fellows
1674:at the
1502:5202016
1381:Bibcode
1044:1883951
969:of the
541:sumsets
524:in the
512:and in
464:at the
414:Bristol
400:at the
202:Bristol
119:scholar
2225:(2023)
2219:(2022)
2213:(2021)
2207:(2020)
2201:(2019)
2195:(2018)
2189:(2018)
2183:(2017)
2177:(2016)
2171:(2016)
2165:(2015)
2159:(2014)
2153:(2013)
2147:(2012)
2141:(2011)
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2105:(2005)
2099:(2005)
1587:
1579:
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1526:
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947:2008:
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929:2005:
923:2004:
784:Rankin
488:, and
333:(2003)
331:
324:Thesis
285:Fields
272:(2019)
267:(2014)
262:(2010)
257:(2008)
252:(2007)
247:(2005)
242:(2005)
237:(2004)
230:Awards
225:, PhD)
121:
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107:
100:
92:
1585:S2CID
1559:arXiv
1532:S2CID
1506:arXiv
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1458:S2CID
1432:arXiv
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1371:arXiv
1344:S2CID
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1220:arXiv
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223:MMath
126:JSTOR
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