55:
370:
in the four variable case in 2002. This particular conjecture of Serre was later dubbed the "dimension growth conjecture" and this was almost completely solved by various works of
Browning, Heath-Brown, and Salberger by 2009.
366:
is less than or equal to 5.5. More recently, Heath-Brown is known for his pioneering work on the so-called determinant method. Using this method he was able to prove a conjecture of
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Castryck, Wouter; Cluckers, Raf; Dittmann, Philip; Nguyen, Kien Huu (2020). "The dimension growth conjecture, polynomial in the degree and without logarithmic factors".
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429:"for his many important contributions to the study of prime numbers and solutions to equations in integers".
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656:"Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression"
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Heath-Brown, D. R. (2002). "The
Density of Rational Points on Curves and Surfaces".
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452:) the preface to the Oxford University Sixth Edition of the classic text
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in at least ten variables represents 0. Heath-Brown also showed that
178:
753:
699:
358:
in families. He proved that every non-singular cubic form over the
889:. The Mathematical Institute, University of Oxford. 24 August 2022
816:
Berwick prizes page at The MacTutor
History of Mathematics archive
928:
627:
Heath-Brown, D. R. (1983). "Cubic Forms in Ten
Variables".
440:
for services to mathematics and mathematical research.
870:
List of
Fellows of the American Mathematical Society
521:"Prof. Roger Heath-Brown, University of Oxford, FRS"
1207:
970:
318:Heath-Brown is known for many striking results. He
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205:
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114:
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82:
64:
34:
387:(1981), the Senior Berwick Prize (1996), and the
832:The Mathematical Institute, University of Oxford
576:. Gazette.web.ox.ac.uk. Retrieved on 2018-08-29.
287:He was an undergraduate and graduate student of
883:"Roger Heath-Brown awarded the Sylvester Medal"
785:Quantitative Arithmetic of Projective Varieties
660:Proceedings of the London Mathematical Society
629:Proceedings of the London Mathematical Society
448:In September 2007, he co-authored (along with
940:
853:"ICM Plenary and Invited Speakers since 1897"
342:in its equidistribution form. He has applied
8:
1281:Fellows of the American Mathematical Society
917:(Supplement). 30 December 2023. p. N12.
425:. In 2022 the Royal Society awarded him the
1301:Officers of the Order of the British Empire
395:in 1993, and a corresponding member of the
947:
933:
925:
483:
481:
479:
434:Officer of the Order of the British Empire
53:
31:
743:
698:
611:
857:International Congress of Mathematicians
455:An Introduction to the Theory of Numbers
404:International Congress of Mathematicians
475:
340:Kummer conjecture on cubic Gauss sums
7:
1271:Fellows of Worcester College, Oxford
1251:Alumni of Trinity College, Cambridge
271:(born 12 October 1952) is a British
1266:Fellows of Magdalen College, Oxford
1261:21st-century British mathematicians
1256:20th-century British mathematicians
383:has awarded Heath-Brown the Junior
421:In 2012 he became a fellow of the
25:
184:Topics in Analytic Number Theory
322:that there are infinitely many
291:; his research supervisor was
1:
828:"Professor Roger Heath-Brown"
783:Browning, Timothy D. (2009).
563:Mathematics Genealogy Project
489:"Prof Roger Heath-Brown, FRS"
423:American Mathematical Society
402:He was an invited speaker at
397:Göttingen Academy of Sciences
1276:Fellows of the Royal Society
872:. Retrieved 19 January 2013.
307:, where from 1999 he held a
687:Algebra & Number Theory
654:Heath-Brown, D. R. (1992).
574:"Vice chancellor's oration"
393:Fellow of the Royal Society
381:London Mathematical Society
129:Fellow of the Royal Society
1317:
586:Heath-Brown, D.R. (2001).
432:Heath-Brown was appointed
289:Trinity College, Cambridge
109:Heath-Brown–Moroz constant
793:10.1007/978-3-0346-0129-0
494:Debrett's People of Today
219:
150:
52:
1291:British number theorists
709:10.2140/ant.2020.14.2261
672:10.1112/plms/s3-64.2.265
641:10.1112/plms/s3-47.2.225
334:. In collaboration with
303:In 1979 he moved to the
275:working in the field of
588:"Primes represented by
95:University of Cambridge
1177:Bruce William Stillman
391:(2009). He was made a
338:in 1978 he proved the
315:. He retired in 2016.
277:analytic number theory
105:Analytic number theory
1230:Edwin Ernest Salpeter
1166:Brian Geoffrey Spratt
732:Annals of Mathematics
546:5 August 2004 at the
438:2024 New Year Honours
27:British mathematician
1183:Andrew James Thomson
1096:Michael Joseph Kelly
305:University of Oxford
172:University of Oxford
134:Senior Berwick Prize
1063:Michael George Hall
1052:Christopher Garrett
501:on 6 September 2012
450:Joseph H. Silverman
299:Career and research
59:Heath-Brown in 1986
1172:David J. Stevenson
1021:Geoffrey Dearnaley
914:The London Gazette
887:www.maths.ox.ac.uk
613:10.1007/BF02392715
541:Official home page
375:Honours and awards
1238:
1237:
1123:Michael Neuberger
1091:Franz Daniel Kahn
1069:Roger Heath-Brown
1003:Tim Clutton-Brock
802:978-3-0346-0128-3
559:Roger Heath-Brown
414:on the topic of "
364:Linnik's constant
249:
248:
206:Doctoral students
152:Scientific career
36:Roger Heath-Brown
18:D. R. Heath-Brown
16:(Redirected from
1308:
1027:Richard R. Ernst
1009:Richard Crowther
998:Lennart Carleson
988:Michael Burdekin
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693:(8): 2261–2294.
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600:Acta Mathematica
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497:. Archived from
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360:rational numbers
344:Burgess's method
313:pure mathematics
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210:Timothy Browning
195:Doctoral advisor
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162:Pure mathematics
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1148:Edward Reynolds
1143:Ghillean Prance
1138:Colin Pillinger
1133:Colin Patterson
1118:Angus Macintyre
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410:and in 2010 in
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356:elliptic curves
336:S. J. Patterson
301:
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144:Sylvester Medal
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91:Alma mater
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75:12 October 1952
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385:Berwick Prize
382:
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324:prime numbers
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309:professorship
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273:mathematician
269:
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252:David Rodney
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214:James Maynard
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124:Berwick Prize
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119:Smith's Prize
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77:(age 71)
67:
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1225:Motoo Kimura
1181:
1164:
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1113:Sydney Leach
1105:
1080:Robin Irvine
1078:
1068:
1061:
1057:Keith Glover
1032:Martin Evans
1019:
1007:
978:Alan Astbury
912:
903:
891:. Retrieved
886:
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835:. Retrieved
822:
811:
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745:math/0405392
735:
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662:. Series 3.
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631:. Series 3.
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524:. Retrieved
515:
503:. Retrieved
499:the original
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331:
327:
326:of the form
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243:.heath-brown
183:
168:Institutions
151:
146: (2022)
29:
1296:1952 births
1194:A.E. Walsby
1154:John Rhodes
1107:Trevor Lamb
1074:John Hughes
1037:Ian Fleming
909:"No. 64269"
837:28 December
505:28 December
464:E.M. Wright
406:in 1983 in
389:PĂłlya Prize
260:Heath-Brown
139:PĂłlya Prize
83:Citizenship
1245:Categories
1199:John White
1128:Ian Newton
700:1904.13109
470:References
460:G.H. Hardy
293:Alan Baker
200:Alan Baker
71:1952-10-12
1160:Jim Smith
893:5 January
717:140223593
412:Hyderabad
399:in 1999.
283:Education
962:elected
770:15167809
606:: 1–84.
544:Archived
1208:Foreign
971:Fellows
964:in 1993
958:of the
956:Fellows
762:3062125
561:at the
350:to the
239:/people
224:Website
799:
768:
760:
715:
408:Warsaw
320:proved
241:/roger
231:.maths
188:(1979)
186:
179:Thesis
158:Fields
141:(2009)
136:(1996)
131:(1993)
126:(1981)
121:(1976)
115:Awards
766:S2CID
758:JSTOR
740:arXiv
713:S2CID
695:arXiv
526:4 May
444:Other
368:Serre
352:ranks
266:
256:Roger
43:
895:2023
839:2010
797:ISBN
528:2017
507:2010
462:and
379:The
65:Born
789:doi
750:doi
736:155
705:doi
668:doi
637:doi
608:doi
604:186
458:by
354:of
346:on
311:in
268:FRS
264:OBE
237:.uk
235:.ac
233:.ox
229:www
45:FRS
41:OBE
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