40:
650:
456:
309:, Kevin Costello was one of two researchers appointed to named chairs by the Perimeter Institute in 2014, funded by a $ 4 million investment by the Krembil Foundation. Costello's appointment was praised by
429:
703:
1071:
343:
Kevin
Costello, Renormalization and Effective Field Theory, Mathematical Surveys and Monographs 170, American Mathematical Society, 2022 ISBN 978-1-4704-7008-1
433:
1076:
1066:
1081:
500:
533:
686:
742:
255:
85:
827:
414:
892:
228:
957:
695:
361:
353:
192:
29:
430:"Perimeter Institute and Krembil Foundation Partner to Recruit World-Leading Physicists | Perimeter Institute"
290:
196:
947:
772:
897:
302:
220:
123:
70:
1061:
679:
259:
200:
275:
267:
251:
244:
1010:
877:
837:
365:
298:
204:
127:
952:
757:
747:
599:
513:
293:
for conformal field theories. Using this language, Costello gave a rigorous construction of the
664:
39:
777:
672:
573:
496:
466:
271:
208:
625:
1020:
1015:
1005:
995:
962:
907:
862:
857:
832:
732:
727:
478:
313:
152:
140:
937:
927:
917:
902:
887:
737:
658:
649:
390:
172:
81:
654:
555:
1025:
1000:
978:
942:
872:
842:
822:
812:
802:
797:
787:
717:
495:, Mathematical Surveys and Monographs Volume 170, American Mathematical Society, 2011,
306:
282:
232:
157:
1055:
1035:
1030:
932:
922:
847:
699:
357:
317:
95:
867:
817:
792:
762:
722:
310:
294:
248:
512:
Costello, Kevin Joseph (2010). "A geometric construction of the Witten genus, I".
767:
113:
58:
1040:
882:
807:
782:
286:
470:
912:
852:
410:
281:
More recent work on formalism for quantum field theory uses the idea of a
134:
518:
474:
668:
364:
in 2017. In 2020 he was admitted as an honorary member of the
224:
262:
field theories to other areas of mathematics. In the book
432:. Perimeterinstitute.ca. 16 November 2013. Archived from
424:
422:
338:
Factorization
Algebras in Quantum Field Theory: volume 2
331:
Factorization
Algebras in Quantum Field Theory: volume 1
266:
he introduced a rigorous mathematical formalism for the
574:"List of LMS prize winners London Mathematical Society"
340:, Cambridge University Press, 2021 ISBN 1-107-16315-3
333:, Cambridge University Press, 2017 ISBN 1-107-16310-2
988:
971:
710:
167:
151:
133:
119:
109:
91:
77:
66:
49:
23:
247:, particularly in the mathematical foundations of
458:Gromov-Witten invariants and symmetric products
141:Gromov–Witten invariants and symmetric products
680:
600:"LMS Prizes 2017 London Mathematical Society"
8:
195:is an Irish mathematician, since 2014 the
687:
673:
665:
493:Renormalization and Effective Field Theory
406:
404:
264:Renormalization and Effective Field Theory
38:
20:
517:
534:"Waterloo think tank gets even smarter"
465:(PhD thesis). University of Cambridge.
377:
536:. The Globe and Mail. 16 November 2013
391:"Kevin Costello – Perimeter Institute"
1072:Alumni of the University of Cambridge
385:
383:
381:
7:
274:and proved the renormalizability of
203:chair of theoretical physics at the
285:to describe the local structure of
1077:Members of the Royal Irish Academy
578:London Mathematical Society Prizes
356:(FRS) in 2018. He was awarded the
336:Kevin Costello and Owen Gwilliam,
329:Kevin Costello and Owen Gwilliam,
14:
1067:21st-century Irish mathematicians
653: This article incorporates
648:
86:Topological quantum field theory
1082:Northwestern University faculty
455:Costello, Kevin Joseph (2003).
243:Costello works in the field of
1:
415:Mathematics Genealogy Project
219:Costello was educated at the
362:London Mathematical Society
354:Fellow of the Royal Society
1098:
981:(Baron Willetts of Havant)
291:operator product expansion
626:"29 New Members Admitted"
395:www.perimeterinstitute.ca
163:
102:
37:
254:and the applications of
229:Gromov–Witten invariants
227:in 2003 for research on
352:Costello was elected a
223:where he was awarded a
221:University of Cambridge
124:Northwestern University
71:University of Cambridge
201:William Rowan Hamilton
301:, using a variant of
283:factorization algebra
268:renormalization group
190:Kevin Joseph Costello
54:Kevin Joseph Costello
657:available under the
252:quantum field theory
245:mathematical physics
878:Lalita Ramakrishnan
838:Dominic Kwiatkowski
630:Royal Irish Academy
366:Royal Irish Academy
303:Chern–Simons theory
299:elliptic cohomology
287:quantum observables
278:in this framework.
239:Career and research
205:Perimeter Institute
175:.perimeterinstitute
128:Perimeter Institute
16:Irish mathematician
953:Geordie Williamson
748:Vincenzo Cerundolo
479:uk.bl.ethos.620044
348:Awards and honours
270:flow formalism of
197:Krembil Foundation
1049:
1048:
778:Gregory Edgecombe
501:978-0-8218-5288-0
276:Yang–Mills theory
209:Waterloo, Ontario
187:
186:
104:Scientific career
1089:
1021:Albrecht Hofmann
1016:Fabiola Gianotti
1011:Jeffrey Friedman
1006:Sebsebe Demissew
996:Carolyn Bertozzi
963:Nikolay Zheludev
908:Michelle Simmons
893:David Richardson
863:Vassilis Pachnis
833:Dimitri Kullmann
733:Margaret Brimble
728:Jillian Banfield
689:
682:
675:
666:
652:
641:
640:
638:
636:
622:
616:
615:
613:
611:
596:
590:
589:
587:
585:
570:
564:
563:
560:royalsociety.org
556:"Kevin Costello"
552:
546:
545:
543:
541:
530:
524:
523:
521:
509:
503:
491:Kevin Costello,
489:
483:
482:
452:
446:
445:
443:
441:
436:on 22 April 2014
426:
417:
408:
399:
398:
387:
314:Maxim Kontsevich
311:Fields medalists
183:
180:
178:
176:
174:
153:Doctoral advisor
147:
44:Costello in 2018
42:
32:
21:
1097:
1096:
1092:
1091:
1090:
1088:
1087:
1086:
1052:
1051:
1050:
1045:
984:
967:
938:Charles Swanton
928:Graeme Stephens
918:Timothy Softley
903:Ingrid Scheffer
888:Graham Richards
758:Robert Crabtree
738:Neil Brockdorff
706:
693:
645:
644:
634:
632:
624:
623:
619:
609:
607:
604:LMS Prizes 2017
598:
597:
593:
583:
581:
572:
571:
567:
554:
553:
549:
539:
537:
532:
531:
527:
511:
510:
506:
490:
486:
454:
453:
449:
439:
437:
428:
427:
420:
409:
402:
389:
388:
379:
374:
350:
326:
241:
217:
181:/kevin-costello
171:
145:
126:
84:
82:Renormalization
67:Alma mater
62:
56:
55:
45:
33:
28:
26:
17:
12:
11:
5:
1095:
1093:
1085:
1084:
1079:
1074:
1069:
1064:
1054:
1053:
1047:
1046:
1044:
1043:
1038:
1033:
1028:
1026:Butler Lampson
1023:
1018:
1013:
1008:
1003:
1001:Martin Chalfie
998:
992:
990:
986:
985:
983:
982:
979:David Willetts
975:
973:
969:
968:
966:
965:
960:
955:
950:
945:
943:Peter Visscher
940:
935:
930:
925:
920:
915:
910:
905:
900:
895:
890:
885:
880:
875:
873:Colin Prentice
870:
865:
860:
855:
850:
845:
843:Richard Marais
840:
835:
830:
825:
823:Sophien Kamoun
820:
815:
813:Graeme Jameson
810:
805:
803:Demis Hassabis
800:
798:Gregory Hannon
795:
790:
785:
780:
775:
770:
765:
760:
755:
753:Kevin Costello
750:
745:
740:
735:
730:
725:
720:
718:Jim Al-Khalili
714:
712:
708:
707:
694:
692:
691:
684:
677:
669:
643:
642:
617:
606:. 30 June 2017
591:
580:. 16 July 2023
565:
547:
525:
504:
484:
447:
418:
411:Kevin Costello
400:
376:
375:
373:
370:
349:
346:
345:
344:
341:
334:
325:
322:
307:Davide Gaiotto
289:, such as the
272:Kenneth Wilson
240:
237:
233:Ian Grojnowski
231:supervised by
216:
213:
185:
184:
169:
165:
164:
161:
160:
158:Ian Grojnowski
155:
149:
148:
137:
131:
130:
121:
117:
116:
111:
107:
106:
100:
99:
93:
89:
88:
79:
78:Known for
75:
74:
68:
64:
63:
57:
53:
51:
47:
46:
43:
35:
34:
27:
25:Kevin Costello
24:
15:
13:
10:
9:
6:
4:
3:
2:
1094:
1083:
1080:
1078:
1075:
1073:
1070:
1068:
1065:
1063:
1062:Living people
1060:
1059:
1057:
1042:
1039:
1037:
1036:Joachim Sauer
1034:
1032:
1031:Tullio Pozzan
1029:
1027:
1024:
1022:
1019:
1017:
1014:
1012:
1009:
1007:
1004:
1002:
999:
997:
994:
993:
991:
987:
980:
977:
976:
974:
970:
964:
961:
959:
956:
954:
951:
949:
948:Guy Wilkinson
946:
944:
941:
939:
936:
934:
933:Angela Strank
931:
929:
926:
924:
923:John Speakman
921:
919:
916:
914:
911:
909:
906:
904:
901:
899:
896:
894:
891:
889:
886:
884:
881:
879:
876:
874:
871:
869:
866:
864:
861:
859:
858:Peter O'Hearn
856:
854:
851:
849:
848:Cathie Martin
846:
844:
841:
839:
836:
834:
831:
829:
826:
824:
821:
819:
816:
814:
811:
809:
806:
804:
801:
799:
796:
794:
791:
789:
786:
784:
781:
779:
776:
774:
773:Richard Dixon
771:
769:
766:
764:
761:
759:
756:
754:
751:
749:
746:
744:
741:
739:
736:
734:
731:
729:
726:
724:
721:
719:
716:
715:
713:
709:
705:
701:
700:Royal Society
697:
690:
685:
683:
678:
676:
671:
670:
667:
663:
662:
660:
656:
651:
631:
627:
621:
618:
605:
601:
595:
592:
579:
575:
569:
566:
561:
557:
551:
548:
535:
529:
526:
520:
515:
508:
505:
502:
498:
494:
488:
485:
480:
476:
472:
468:
464:
463:lib.cam.ac.uk
460:
459:
451:
448:
435:
431:
425:
423:
419:
416:
412:
407:
405:
401:
396:
392:
386:
384:
382:
378:
371:
369:
367:
363:
359:
358:Berwick Prize
355:
347:
342:
339:
335:
332:
328:
327:
323:
321:
319:
318:Edward Witten
315:
312:
308:
305:. Along with
304:
300:
296:
292:
288:
284:
279:
277:
273:
269:
265:
261:
257:
253:
250:
246:
238:
236:
234:
230:
226:
222:
214:
212:
210:
206:
202:
198:
194:
191:
182:
170:
166:
162:
159:
156:
154:
150:
143:
142:
138:
136:
132:
129:
125:
122:
118:
115:
112:
108:
105:
101:
97:
96:Berwick Prize
94:
90:
87:
83:
80:
76:
72:
69:
65:
60:
52:
48:
41:
36:
31:
22:
19:
898:Sheila Rowan
868:Tracy Palmer
818:Harren Jhoti
793:Robin Grimes
763:Philip Dawid
752:
743:Frank Caruso
723:Polly Arnold
647:
646:
633:. Retrieved
629:
620:
608:. Retrieved
603:
594:
582:. Retrieved
577:
568:
559:
550:
538:. Retrieved
528:
507:
492:
487:
462:
457:
450:
438:. Retrieved
434:the original
394:
351:
337:
330:
324:Publications
295:Witten genus
280:
263:
249:perturbative
242:
218:
189:
188:
139:
120:Institutions
103:
18:
958:Daniel Wise
828:Andrew King
788:Roger Goody
768:Peter Dayan
635:27 November
256:topological
114:Mathematics
1056:Categories
1041:Adi Shamir
883:Nancy Reid
808:Judy Hirst
783:Wenfei Fan
372:References
211:, Canada.
913:John Smol
853:Elon Musk
659:CC BY 4.0
519:1006.5422
471:894595138
260:conformal
215:Education
61:, Ireland
972:Honorary
702:elected
661:license.
989:Foreign
711:Fellows
704:in 2018
698:of the
696:Fellows
610:18 July
584:17 July
413:at the
360:by the
179:/people
168:Website
499:
477:
469:
146:(2003)
144:
135:Thesis
110:Fields
98:(2017)
92:Awards
540:7 May
514:arXiv
475:EThOS
440:7 May
73:(PhD)
655:text
637:2021
612:2023
586:2023
542:2014
497:ISBN
467:OCLC
442:2014
316:and
258:and
59:Cork
50:Born
297:in
225:PhD
207:in
199:'s
193:FRS
177:.ca
173:www
30:FRS
1058::
628:.
602:.
576:.
558:.
473:.
461:.
421:^
403:^
393:.
380:^
368:.
320:.
235:.
688:e
681:t
674:v
639:.
614:.
588:.
562:.
544:.
522:.
516::
481:.
444:.
397:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.