493:
classical problems, and produced strikingly far-reaching conjectures." Venkatesh's "use of dynamics theory, which studies the equations of moving objects to solve problems in number theory, which is the study of whole numbers, integers and prime numbers" was recognised in the award. "His work uses representation theory, which represents abstract algebra in terms of more easily-understood linear algebra, and topology theory, which studies the properties of structures that are deformed through stretching or twisting, like a Möbius strip." He described his work in 2016 as "looking for new patterns in the arithmetic of numbers". On receiving the award, which is presented every four years, Venkatesh said "A lot of the time when you do math, you're stuck, but at the same time there are all these moments where you feel privileged that you get to work with it. You have this sensation of transcendence, you feel like you've been part of something really meaningful."
1719:
40:
2252:
2262:
475:) to be so honoured. The short citation for the medal declared that Venkatesh was being honoured for "his synthesis of analytic number theory, homogeneous dynamics, topology, and representation theory, which has resolved long-standing problems in areas such as the equidistribution of arithmetic objects."
492:
The long citation for his Fields Medal describes
Venkatesh as having "made profound contributions to an exceptionally broad range of subjects in mathematics" and recognises that he "solved many longstanding problems by combining methods from seemingly unrelated areas, presented novel viewpoints on
488:
Professor Geoff Prince said "Akshay is an exciting and innovative leader in his field whose work will continue to have wide-ranging implications for mathematics" and a worthy recipient of the Fields medal "given his contribution to improving mathematicians' understanding of analytic number theory,
355:
from the university. He was awarded the J. A. Woods
Memorial Prize as the most outstanding graduate of the year from the Faculties of Science, Engineering, Dentistry, or Medical Science. While at UWA he was also one of the founding members of the Honours Cricket Association.
483:
said that "his century will be built by mathematicians, whether it's computer coding, algorithms, machine learning, artificial intelligence, app design and the like" and that "we should acknowledge the magnificence of the mathematical mind." Director of the
562:
in numerous cases, going beyond the foundational work of Hardy–Littlewood–Weyl, Burgess, and Duke–Friedlander–Iwaniec that dealt with important special cases. This approach eventually resulted in the complete resolution by
Venkatesh and
452:(Hyderabad) and spoke on the topic "Number Theory and Lie Theory and Generalisations." For his exceptionally wide-ranging, foundational and creative contributions to modern number theory, Venkatesh was awarded the
449:
440:" and "only awarded to those under the age of thirty-two (the age of Ramanujan at his time of death)." The prize was presented at the International Conference on Number Theory and Modular Forms, held at
479:
Professor
Michael Giudici said of his former classmate's work that "f it was easy for me to explain, then he wouldn't have received the Fields Medal". Australian mathematician and media personality
2919:
2685:
332:
323:, Akshay attended extracurricular training classes for gifted students in the state mathematical olympiad program, and in 1993, whilst aged only 11, he competed at the 24th
2904:
2678:
2869:
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651:
408:
on 1 September 2008. After serving as distinguished visiting professor at the IAS in 2017–2018, he became a permanent faculty member of IAS in August 2018.
2315:
2889:
832:
2934:
2899:
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802:
1420:
279:. He is the second Australian and the second person of Indian descent to win the Fields Medal. He was on the Mathematical Sciences jury for the
1365:
2924:
1643:
1210:
992:
1336:
1760:
485:
460:, which is awarded every two years for "outstanding achievements in pure mathematics and in the foundations of numerical mathematics."
389:
172:
347:
as its youngest ever student. Venkatesh completed the four-year course in three years and became, at 16, the youngest person to earn
686:
884:
1044:
429:
2874:
2929:
377:
2909:
2894:
1392:
1714:
1154:
340:
253:
914:
376:. He was supported by the Hackett Fellowship for postgraduate study. He was then awarded a postdoctoral position at the
331:, winning a bronze medal. The following year, he switched his attention to mathematics and, after placing second in the
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336:
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436:, given for "outstanding contributions to areas of mathematics influenced by the great Indian mathematician,
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29:
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714:
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558:
Akshay
Venkatesh also provided a novel and more direct way of establishing sub-convexity estimates for
385:
2617:
1729:
343:
held in Hong Kong. He completed his secondary education the same year, turning 13 before entering the
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2049:
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433:
328:
264:
121:
1453:; Venkatesh, Akshay (2008). "Local-global principles for representations of quadratic forms".
467:, commonly described as the Nobel Prize of mathematics, becoming the second Australian (after
2142:
1586:
1535:
1155:"NYU's Venkatesh, 25, Wins Prize Given to Young Mathematicians for Work in Field of Analysis"
1129:"Mathematician Akshay Venkatesh Appointed to the Faculty of the Institute for Advanced Study"
510:
304:
276:
230:
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365:
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8:
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567:
of the sub-convexity problem for GL(1) and GL(2) L-functions over general number fields.
437:
405:
393:
348:
167:
1718:
1478:
551:, Venkatesh revisited the Linnik ergodic method and solved a longstanding conjecture of
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2544:
2524:
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2012:
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Akshay has made contributions to a wide variety of areas in mathematics, including
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1973:
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2110:
1990:
1924:
1337:"Maths hands out its 'Nobel Prize' to an Australian – here's why you should care"
533:
472:
457:
131:
1609:
1558:
1366:"Fields Medal: Aussie genius Akshay Venkatesh wins 'Nobel Prize of mathematics'"
2832:
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2311:
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2174:
2054:
2039:
2027:
2017:
1995:
1929:
1885:
1790:
1303:"Foundation A. M. Ostrowski for an international prize in higher mathematics"
918:
502:
453:
320:
280:
226:
206:
126:
1701:
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2724:
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2612:
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2444:
1968:
1807:
1785:
1769:
1531:"Distribution of periodic torus orbits and Duke's theorem for cubic fields"
480:
464:
369:
260:
209:
and a professor (since 15 August 2018) at the School of
Mathematics at the
185:
136:
1841:
420:, given to a "young mathematician judged to have done outstanding work in
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2718:
2539:
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2374:
2164:
2120:
1858:
1269:
1073:
833:"Indian-origin mathematician Akshay Venkatesh maths 'Nobel' Fields Medal"
584:
559:
552:
468:
417:
116:
39:
2820:
2796:
2754:
2469:
1875:
1836:
803:"Australian Akshay Venkatesh wins Fields medal – the 'Nobel for maths'"
445:
970:
2814:
2632:
1600:
1469:
944:
555:
on the distribution of torus orbits attached to cubic number fields.
66:
1724:
536:
for integral representations of quadratic forms by quadratic forms.
2454:
2223:
1738:
1517:
1397:
836:
272:
214:
1657:
1582:"Sparse equidistribution problems, period bounds and subconvexity"
1549:
993:"Conditions – J. A. Wood Memorial Prizes [F1495-03]"
525:
2306:
521:, by himself, and in collaboration with several mathematicians.
2920:
Massachusetts
Institute of Technology School of Science faculty
1393:"Aussie Akshay Venkatesh wins 'the Nobel Prize of mathematics'"
450:
295:, India, in a Tamil Brahmin family and his family emigrated to
292:
1637:; Venkatesh, Akshay (2010). "The subconvexity problem for GL
248:
He was the first
Australian to have won medals at both the
456:
384:. Venkatesh then held a Clay Research Fellowship from the
1245:"Infosys Prize – Laureates 2016 – Prof. Akshay Venkatesh"
752:
750:
748:
746:
744:
742:
740:
388:
from 2004 to 2006, and was an associate professor at the
2693:
967:"Results of 6th Asian Pacific Mathematics Olympiad 1994"
396:. He was a member of the School of Mathematics at the
737:
796:
794:
792:
790:
788:
786:
489:
algebraic number theory, and representation theory".
1359:
1357:
646:
644:
642:
640:
372:, which he completed in 2002, producing the thesis
2905:Courant Institute of Mathematical Sciences faculty
1629:
1627:
1449:
915:"XXIV International Physics Olympiad Williamsburg"
783:
1734:German National Library of Science and Technology
1354:
637:
471:) and the second person of Indian descent (after
2870:International Mathematical Olympiad participants
2846:
709:
707:
1633:
1624:
1184:"Venkatesh Awarded 2008 SASTRA Ramanujan Prize"
1178:
1176:
1121:
496:
969:. Australian Mathematics Trust. Archived from
943:. Australian Mathematics Trust. Archived from
432:in 2007. In 2008, he received the US$ 10,000
213:. His research interests are in the fields of
2679:
2292:
1754:
1211:"ICM Plenary and Invited Speakers since 1897"
1100:"Akshay Venkatesh – Research Interests"
1068:
1066:
1047:. Honours Cricket Association. Archived from
827:
825:
704:
687:"Maths boy wonder shows how to stack oranges"
1421:"Australian mathematician wins Fields Medal"
1173:
1020:"UWA maths prodigy wins international award"
885:"My Automathography – 30 Years at UWA"
339:, before winning a bronze medal at the 1994
1330:
1328:
448:, Ramanujan's hometown. In 2010, he was an
2686:
2672:
2299:
2285:
1761:
1747:
1717:
1063:
822:
486:Australian Mathematical Sciences Institute
390:Courant Institute of Mathematical Sciences
173:Courant Institute of Mathematical Sciences
2890:Australian emigrants to the United States
1666:
1656:
1599:
1579:
1548:
1486:
1468:
684:
205:(born 21 November 1981) is an Australian
2935:People educated at Scotch College, Perth
2900:Recipients of the SASTRA Ramanujan Prize
1325:
882:
303:when he was two years old. He attended
100:Mathematical Work, Former Child Prodigy
2847:
1363:
1017:
424:field of interest—the theory of
400:(IAS) from 2005 to 2006. He became a
2667:
2280:
1742:
1334:
609:
607:
605:
378:Massachusetts Institute of Technology
165:(2005–2006, 2018–present)
2925:Institute for Advanced Study faculty
1768:
1644:Publications Mathématiques de l'IHÉS
800:
16:Australian mathematician (born 1981)
1715:International Mathematical Olympiad
758:"Venkatesh Short and Long Citation"
532:, made significant progress on the
374:Limiting forms of the trace formula
341:International Mathematical Olympiad
335:, he won a silver medal in the 6th
254:International Mathematical Olympiad
13:
1249:www.infosys-science-foundation.com
883:Schultz, Phill (24 January 2005).
863:www.infosys-science-foundation.com
685:MacDonald, Janine (15 July 2011).
602:
359:
337:Asian Pacific Mathematics Olympiad
14:
2946:
1695:
1364:Slezak, Michael (2 August 2018).
528:methods, Venkatesh, jointly with
256:, which he did at the age of 12.
2260:
2251:
2250:
1219:International Mathematical Union
769:International Mathematical Union
723:International Mathematical Union
539:In a series of joint works with
333:Australian Mathematical Olympiad
38:
1573:
1511:
1443:
1413:
1385:
1335:Keane, Daniel (2 August 2018).
1295:
1270:"Citation for Akshay Venkatesh"
1262:
1237:
1203:
1147:
1092:
1037:
1024:University of Western Australia
1018:Stacey, David (2 August 2018).
1011:
997:University of Western Australia
985:
959:
933:
907:
889:University of Western Australia
876:
691:University of Western Australia
477:University of Western Australia
345:University of Western Australia
91:University of Western Australia
1725:Website at Stanford University
1221:. 11 June 2016. Archived from
851:
801:Zhou, Naaman (2 August 2018).
678:
577:
411:
325:International Physics Olympiad
286:
250:International Physics Olympiad
1:
2875:Indian emigrants to Australia
1706:Mathematics Genealogy Project
1429:Australian Academy of Science
1045:"Honours Cricket Association"
570:
291:Akshay Venkatesh was born in
2930:Fellows of the Royal Society
1133:Institute for Advanced Study
1078:Institute for Advanced Study
660:Australian Mathematics Trust
589:Institute for Advanced Study
497:Contributions to mathematics
463:In 2018, he was awarded the
398:Institute for Advanced Study
364:Akshay commenced his PhD at
259:In 2018, he was awarded the
211:Institute for Advanced Study
163:Institute for Advanced Study
7:
2910:Stanford University faculty
2895:Princeton University alumni
1610:10.4007/annals.2010.172.989
1559:10.4007/annals.2011.173.2.5
941:"Highest AMO scorers, 1994"
859:"Infosys Prize - Jury 2020"
10:
2951:
1730:Videos of Akshay Venkatesh
1711:Akshay Venkatesh's results
1580:Venkatesh, Akshay (2010).
623:Clay Mathematics Institute
386:Clay Mathematics Institute
2880:Australian mathematicians
2702:
2600:
2588:
2322:
2246:
1776:
1677:10.1007/s10240-010-0025-8
1529:; Akshay, Akshay (2011).
1497:10.1007/s00222-007-0077-7
191:
179:
158:
150:
143:
112:
104:
96:
82:
74:
49:
37:
23:
1732:in the AV-Portal of the
1456:Inventiones Mathematicae
515:locally symmetric spaces
235:locally symmetric spaces
2643:Akkihebbal Ravishankara
2530:Barbara Sherwood Lollar
416:Akshay was awarded the
382:C.L.E. Moore instructor
380:, where he served as a
2696:SASTRA Ramanujan Prize
1199:(1): 56. January 2009.
917:. 1993. Archived from
662:. 2017. Archived from
652:"Former IMO Olympians"
434:SASTRA Ramanujan Prize
329:Williamsburg, Virginia
265:analytic number theory
122:SASTRA Ramanujan Prize
2915:Scientists from Delhi
2885:People from New Delhi
1587:Annals of Mathematics
1536:Annals of Mathematics
511:representation theory
277:representation theory
263:for his synthesis of
231:representation theory
2713:Kannan Soundararajan
2580:Kumar Wickramasinghe
2505:Caetano Reis e Sousa
2450:John-Michael Kendall
2400:VĂ©ronique Gouverneur
1451:Ellenberg, Jordan S.
1401:. AAP. 2 August 2018
1311:Ostrowski Foundation
1281:Ostrowski Foundation
715:"Fields Medals 2018"
366:Princeton University
269:homogeneous dynamics
87:Princeton University
1523:Lindenstrauss, Elon
1519:Einsiedler, Manfred
1479:2007InMat.171..257E
1159:New York University
1108:Stanford University
1051:on 13 December 2002
666:on 13 December 2018
438:Srinivasa Ramanujan
406:Stanford University
394:New York University
349:First Class Honours
168:Stanford University
2545:Paraskevas Sphicas
2525:Gregory D. Scholes
2475:Gareth H. McKinley
2460:Jonathan C. Knight
2425:Martin Head-Gordon
2380:George Davey Smith
2330:Salim Abdool Karim
2266:Mathematics portal
1192:Notices of the AMS
1074:"Akshay Venkatesh"
921:on 5 February 2012
808:Guardian Australia
615:"Akshay Venkatesh"
585:"Akshay Venkatesh"
545:Elon Lindenstrauss
541:Manfred Einsiedler
430:Packard Fellowship
243:algebraic topology
2842:
2841:
2737:Kathrin Bringmann
2661:
2660:
2570:Douglass Turnbull
2560:Robert Tibshirani
2515:Matthew Rushworth
2480:David G. Nicholls
2465:Marta Kwiatkowska
2405:Christopher Hacon
2355:Benjamin Blencowe
2274:
2273:
1427:(Press release).
1157:(Press release).
1131:(Press release).
1104:math.stanford.edu
1022:(Press release).
999:. 3 November 2015
689:(Press release).
507:automorphic forms
442:SASTRA University
317:Deakin University
301:Western Australia
223:automorphic forms
195:
194:
175:(2006–2008)
170:(2008–2018)
145:Scientific career
44:Venkatesh in 2014
2942:
2860:Fields Medalists
2791:Maryna Viazovska
2785:Maksym Radziwill
2749:Roman Holowinsky
2731:Akshay Venkatesh
2688:
2681:
2674:
2665:
2664:
2653:Brian Staskawicz
2575:Akshay Venkatesh
2555:Andrew D. Taylor
2485:Christine Orengo
2301:
2294:
2287:
2278:
2277:
2264:
2254:
2253:
1770:Fields Medalists
1763:
1756:
1749:
1740:
1739:
1721:
1702:Akshay Venkatesh
1689:
1688:
1670:
1660:
1635:Michel, Philippe
1631:
1622:
1621:
1603:
1577:
1571:
1570:
1552:
1527:Michel, Philippe
1515:
1509:
1508:
1490:
1472:
1447:
1441:
1440:
1438:
1436:
1417:
1411:
1410:
1408:
1406:
1389:
1383:
1382:
1380:
1378:
1361:
1352:
1351:
1349:
1347:
1332:
1323:
1322:
1320:
1318:
1299:
1293:
1292:
1290:
1288:
1274:
1266:
1260:
1259:
1257:
1255:
1241:
1235:
1234:
1232:
1230:
1207:
1201:
1200:
1188:
1180:
1171:
1170:
1168:
1166:
1161:. 22 August 2007
1151:
1145:
1144:
1142:
1140:
1125:
1119:
1118:
1116:
1114:
1096:
1090:
1089:
1087:
1085:
1070:
1061:
1060:
1058:
1056:
1041:
1035:
1034:
1032:
1030:
1015:
1009:
1008:
1006:
1004:
989:
983:
982:
980:
978:
973:on 29 April 2013
963:
957:
956:
954:
952:
947:on 24 March 2012
937:
931:
930:
928:
926:
911:
905:
904:
902:
900:
895:on 24 March 2015
891:. Archived from
880:
874:
873:
871:
869:
855:
849:
848:
846:
844:
829:
820:
819:
817:
815:
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734:
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682:
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673:
671:
648:
635:
634:
632:
630:
611:
600:
599:
597:
595:
581:
530:Jordan Ellenberg
353:pure mathematics
313:computer science
229:, in particular
219:equidistribution
204:
198:Akshay Venkatesh
181:Doctoral advisor
63:
60:21 November 1981
59:
57:
42:
32:
25:Akshay Venkatesh
21:
20:
2950:
2949:
2945:
2944:
2943:
2941:
2940:
2939:
2845:
2844:
2843:
2838:
2773:Jacob Tsimerman
2707:Manjul Bhargava
2698:
2692:
2662:
2657:
2596:
2584:
2550:Jack W. Szostak
2420:Peter H. Haynes
2415:Richard Harland
2390:Bernie Fanaroff
2365:Peter A. Butler
2345:Manjul Bhargava
2335:Charles Bangham
2318:
2305:
2275:
2270:
2242:
2241:
2238:
2211:
2184:
2157:
2130:
2103:
2086:
2059:
2032:
2005:
1983:
1961:
1934:
1917:
1890:
1863:
1846:
1829:
1812:
1795:
1772:
1767:
1698:
1693:
1692:
1668:10.1.1.750.8950
1640:
1632:
1625:
1594:(2): 989–1094.
1578:
1574:
1516:
1512:
1488:10.1.1.236.7085
1448:
1444:
1434:
1432:
1431:. 3 August 2018
1419:
1418:
1414:
1404:
1402:
1391:
1390:
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1355:
1345:
1343:
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1316:
1314:
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1300:
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1286:
1284:
1272:
1268:
1267:
1263:
1253:
1251:
1243:
1242:
1238:
1228:
1226:
1225:on 11 June 2016
1209:
1208:
1204:
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1182:
1181:
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1152:
1148:
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1098:
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1651:(1): 171–271.
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52:
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41:
36:
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2827:Yunqing Tang
2730:
2628:Elaine Fuchs
2613:Hans Clevers
2608:Barry Barish
2594:Yusuf Hamied
2574:
2495:Anant Parekh
2490:Anne Osbourn
2445:Steve A. Kay
2410:Mark Handley
2206:
1881:Grothendieck
1648:
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1601:math/0506224
1591:
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1513:
1470:math/0604232
1460:
1454:
1445:
1433:. Retrieved
1424:
1415:
1403:. Retrieved
1396:
1387:
1375:. Retrieved
1369:
1344:. Retrieved
1340:
1315:. Retrieved
1307:Ostrowski.ch
1306:
1297:
1285:. Retrieved
1277:ostrowski.ch
1276:
1264:
1252:. Retrieved
1248:
1239:
1227:. Retrieved
1223:the original
1214:
1205:
1196:
1190:
1163:. Retrieved
1149:
1137:. Retrieved
1123:
1111:. Retrieved
1103:
1094:
1082:. Retrieved
1053:. Retrieved
1049:the original
1039:
1027:. Retrieved
1013:
1001:. Retrieved
987:
975:. Retrieved
971:the original
961:
949:. Retrieved
945:the original
935:
923:. Retrieved
919:the original
909:
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893:the original
878:
866:. Retrieved
862:
853:
841:. Retrieved
812:. Retrieved
806:
773:. Retrieved
764:
727:. Retrieved
718:
694:. Retrieved
680:
668:. Retrieved
664:the original
655:
627:. Retrieved
619:claymath.org
618:
592:. Retrieved
588:
579:
557:
538:
523:
500:
491:
481:Adam Spencer
465:Fields Medal
462:
415:
373:
370:Peter Sarnak
363:
290:
261:Fields Medal
258:
247:
221:problems in
197:
196:
186:Peter Sarnak
159:Institutions
144:
137:Fields Medal
18:
2855:1981 births
2809:Adam Harper
2803:Jack Thorne
2719:Terence Tao
2618:Sandra DĂaz
2540:Liz Sockett
2500:Julian Peto
2375:Sarah Darby
2217:2022
2190:2018
2163:2014
2136:2010
2109:2006
2092:2002
2065:1998
2038:1994
2011:1990
1989:1986
1967:1982
1940:1978
1923:1974
1896:1970
1869:1966
1852:1962
1835:1958
1818:1954
1801:1950
1784:1936
868:10 December
560:L-functions
553:Yuri Linnik
469:Terence Tao
418:Salem Prize
412:Recognition
287:Early years
154:Mathematics
117:Salem Prize
108:Sarah Paden
75:Nationality
2849:Categories
2821:Will Sawin
2797:Yifeng Liu
2755:Zhiwei Yun
2470:Mark Mayer
2180:Mirzakhani
2077:Kontsevich
656:amt.edu.au
571:References
446:Kumbakonam
428:" and the
78:Australian
56:1981-11-21
2815:Shai Evra
2743:Wei Zhang
2725:Ben Green
2633:Inez Fung
2234:Viazovska
2207:Venkatesh
2099:Voevodsky
2094:Lafforgue
2067:Borcherds
1991:Donaldson
1947:Fefferman
1854:Hörmander
1663:CiteSeerX
1658:0903.3591
1618:119163205
1550:0708.1113
1483:CiteSeerX
1055:22 August
283:in 2020.
67:New Delhi
2589:Honorary
2455:Roy Kerr
2314:elected
2256:Category
2170:Bhargava
2116:Perelman
2111:Okounkov
2082:McMullen
2055:Zelmanov
2040:Bourgain
2013:Drinfeld
2001:Freedman
1996:Faltings
1974:Thurston
1952:Margulis
1925:Bombieri
1913:Thompson
1903:Hironaka
1803:Schwartz
1685:14155294
1435:4 August
1405:4 August
1398:SBS News
1377:4 August
1371:ABC News
1346:2 August
1341:ABC News
1317:4 August
1287:4 August
1165:4 August
1139:6 August
1113:4 August
1084:4 August
1029:4 August
1003:4 August
899:4 August
843:4 August
814:4 August
775:4 August
729:4 August
696:4 August
670:4 August
629:4 August
594:7 August
273:topology
215:counting
2601:Foreign
2323:Fellows
2316:in 2019
2310:of the
2308:Fellows
2229:Maynard
2202:Scholze
2197:Figalli
2153:Villani
2148:Smirnov
1957:Quillen
1942:Deligne
1930:Mumford
1908:Novikov
1820:Kodaira
1808:Selberg
1791:Douglas
1786:Ahlfors
1704:at the
1567:6236918
1475:Bibcode
1254:3 April
526:ergodic
422:Salem's
311:, is a
69:, India
2835:(2023)
2829:(2022)
2823:(2021)
2817:(2020)
2811:(2019)
2805:(2018)
2799:(2018)
2793:(2017)
2787:(2016)
2781:(2016)
2775:(2015)
2769:(2014)
2763:(2013)
2757:(2012)
2751:(2011)
2745:(2010)
2739:(2009)
2733:(2008)
2727:(2007)
2721:(2006)
2715:(2005)
2709:(2005)
2192:Birkar
2175:Hairer
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