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289:(professor 1994–96). At MIT, he was the Simons Professor of Mathematics from 2007–2010. Upon Isadore Singer's retirement in 2010 the name of the chair became the Singer Professor of Mathematics which Mrowka held until 2017. He was named head of the Department of Mathematics in 2014 and held that position for 3 years.
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In joint work with Peter
Kronheimer, Mrowka settled many long-standing conjectures, three of which earned them the 2007 Veblen Prize. The award citation mentions three papers that Mrowka and Kronheimer wrote together. The first paper in 1995 deals with
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and was one of the first deep applications of the then brand new
Seiberg–Witten equations to four-dimensional topology. In the third paper in 2004, Mrowka and Kronheimer used their earlier development of
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through the development of deep analytical techniques and applications." He was named a
Guggenheim Fellow in 2010, and in 2011 he received the
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In further recent work with
Kronheimer, Mrowka showed that a certain subtle combinatorially-defined knot invariant introduced by
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Kronheimer, P. B.; Mrowka, T. S. (February 11, 2011). "Khovanov homology is an unknot-detector".
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281:. He joined the MIT mathematics faculty as professor in 1996, following faculty appointments at
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Kronheimer, Peter B; Mrowka, Tomasz S (January 1, 2004). "Witten's conjecture and
Property P".
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A 1983 graduate of the
Massachusetts Institute of Technology, he received the PhD from the
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from particle physics to analyze low-dimensional mathematical objects. Jointly with
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Archived by the Indian
Academy of Sciences, Women in Science initiative
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227:(born September 8, 1961) is an American mathematician specializing in
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490:"A life of unexpected twists takes her from farm to math department"
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235:. He is the Singer Professor of Mathematics and former head of the
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383:, he discovered four-dimensional models of space-time topology.
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Massachusetts
Institute of Technology School of Science faculty
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for
Seminal Contribution to Research (with Peter Kronheimer).
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A local Mayer-Vietoris principle for Yang-Mills moduli spaces
344:, together with Peter Kronheimer. In 2023 he was awarded the
542:"Tomasz Mrowka named head of the Department of Mathematics"
340:, 2007). In 2018 he gave a plenary lecture at the ICM in
780:"The Genus of Embedded Surfaces in the Projective Plane"
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1212:
Stanford University Department of Mathematics faculty
399:, and partly motivated Witten's introduction of the
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Kronheimer, P. B.; Mrowka, T. S. (January 1, 1994).
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Leroy P. Steele Prize for Seminal Contribution 2023
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367:Mrowka's work combines analysis, geometry, and
257:, and is married to MIT mathematics professor
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587:Kronheimer and Mrowka Receive 2011 Doob Prize
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138:for Seminal Contribution to Research (2023)
1217:California Institute of Technology faculty
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742:Kronheimer, Peter; Mrowka, Tomasz (1995).
246:Mrowka is the son of Polish mathematician
1182:University of California, Berkeley alumni
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656:. American Academy of Arts & Sciences
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403:. The second paper proves the so-called
302:International Congress of Mathematicians
1222:People from State College, Pennsylvania
353:American Academy of Arts & Sciences
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607:by Peter Kronheimer and Tomasz Mrowka"
410:Seiberg–Witten monopole Floer homology
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241:Massachusetts Institute of Technology
111:American Academy of Arts and Sciences
1172:21st-century American mathematicians
1167:20th-century American mathematicians
858:Publications Mathématiques de l'IHÉS
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475:, Wiadom. Mat. 51 (2015), 347–348
287:California Institute of Technology
271:University of California, Berkeley
84:University of California, Berkeley
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1177:American people of Polish descent
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514:"Tomasz Mrowka | MIT Mathematics"
389:Donaldson's polynomial invariants
1207:Mathematicians from Pennsylvania
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959:Oswald Veblen Prize in Geometry
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771:
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488:Baker, Billy (April 28, 2008),
473:Stanisław G. Mrówka (1933–2010)
310:Oswald Veblen Prize in Geometry
273:in 1988 under the direction of
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373:partial differential equations
1:
922:Mathematics Genealogy Project
784:Mathematical Research Letters
624:10.1090/S0273-0979-09-01250-6
611:Bull. Amer. Math. Soc. (N.S.)
605:Monopoles and three-manifolds
574:American Mathematical Society
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393:Kronheimer–Mrowka basic class
371:, specializing in the use of
355:in 2007, and a member of the
334:Monopoles and Three-Manifolds
97:Kronheimer–Mrowka basic class
684:National Academy of Sciences
357:National Academy of Sciences
130:National Academy of Sciences
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308:. In 2007, he received the
64:State College, Pennsylvania
10:
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971:Christos Papakyriakopoulos
797:10.4310/mrl.1994.v1.n6.a14
351:He became a fellow of the
338:Cambridge University Press
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880:10.1007/s10240-010-0030-y
650:"Tomasz Stanislaw Mrowka"
432:over the past 20 years."
401:Seiberg–Witten invariants
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237:Department of Mathematics
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453:List of Polish-Americans
913:Mrowka's website at MIT
813:Geometry & Topology
1202:Differential geometers
764:10.4310/jdg/1214456482
599:Taubes, Clifford Henry
16:American mathematician
1123:Fernando Codá Marques
835:10.2140/gt.2004.8.295
709:Annals of Mathematics
414:Property P conjecture
346:Leroy P. Steele Prize
229:differential geometry
136:Leroy P. Steele Prize
1197:American topologists
751:J. Differential Geom
377:Yang-Mills equations
1051:Richard S. Hamilton
1017:James Harris Simons
567:"2007 Veblen Prize"
544:. December 10, 2014
330:Peter B. Kronheimer
283:Stanford University
259:Gigliola Staffilani
1069:Michael J. Hopkins
957:Recipients of the
676:"Tomasz S. Mrowka"
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1103:William Minicozzi
711:. Second Series.
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203:Doctoral students
147:Scientific career
57:September 8, 1961
39:Aarhus University
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1081:Peter Kronheimer
1065:Yakov Eliashberg
1035:Michael Freedman
1011:William Thurston
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188:Doctoral advisor
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1093:Zoltán Szabó
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1061:Jeff Cheeger
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518:math.mit.edu
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495:Boston Globe
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439:can detect “
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385:
381:Robert Gompf
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294:Sloan fellow
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279:Robion Kirby
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233:gauge theory
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197:Robion Kirby
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161:Institutions
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117:Veblen Prize
18:
1187:1961 births
1127:André Neves
1117:Daniel Wise
1107:Paul Seidel
1075:David Gabai
993:Barry Mazur
603:"Review of
397:4-manifolds
285:and at the
251: [
214:Sherry Gong
156:Mathematics
1156:Categories
977:Raoul Bott
459:References
430:foliations
422:symplectic
326:Doob Prize
211:Lenhard Ng
207:Larry Guth
123:Doob Prize
53:1961-09-08
37:Mrowka at
1055:Gang Tian
896:119586228
888:0073-8301
871:1005.4346
359:in 2015.
312:from the
304:(ICM) in
1141:Song Sun
1113:Ian Agol
843:10764084
689:March 9,
660:March 9,
601:(2009).
447:See also
369:topology
363:Research
322:topology
292:A prior
128:Member,
109:Fellow,
920:at the
729:2946635
300:at the
239:at the
894:
886:
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727:
428:, and
306:Zurich
265:Career
181:(1988)
179:
172:Thesis
153:Fields
132:(2015)
125:(2011)
119:(2007)
113:(2007)
103:Awards
41:, 2011
1131:2019
1121:2016
1111:2013
1097:2010
1079:2007
1073:2004
1067:and
1059:2001
1049:1996
1039:1991
1033:1986
1027:1981
1021:1981
1015:1976
1009:1976
1003:1971
997:1971
987:1966
981:1966
975:1964
969:1964
892:S2CID
866:arXiv
839:S2CID
821:arXiv
747:(PDF)
725:JSTOR
570:(PDF)
418:knots
328:with
255:]
1139:and
1125:and
1115:and
1101:and
1091:and
1083:and
1053:and
1043:and
991:and
884:ISSN
691:2020
662:2020
550:2015
525:2015
424:and
416:for
277:and
231:and
66:, US
47:Born
876:doi
862:113
831:doi
792:doi
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717:doi
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619:doi
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314:AMS
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