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379:"Thomas has made seminal contributions across an unusually broad range of topics. Much of his work is related to mirror symmetry and CalabiâYau geometry, and thus has an important bearing on exciting contemporary interactions with mathematical physics. This involved the combination of deep, original insights and sophisticated technical proofs that is characteristic of Thomasâs work."
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He coauthored a book on mirror symmetry. Thomas also wrote expository notes on derived categories, curve counting, and homological projective duality. He appeared in the documentary film 'Thinking space' by Heidi
Morstang. Thomas has played an important part in promoting geometry in the UK,
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encouraging younger mathematicians, and in bringing more geometry to
Imperial college: " There was little geometry in Imperial then, but now, thanks largely to the drive of my colleague Richard Thomas, we have one of the main centres for research in this area." -
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conjectureâa classical algebro-geometric problem going back more than a century. With Davesh Maulik and
Pandharipande he proved the KatzâKlemmâVafa (KKV) conjecture, establishing links between the
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he formulated a refinement of the
DonaldsonâThomas invariants for the special case of curve counting, the PandharipandeâThomas (PT) stable pair invariants. With Martijn Kool and
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led to contributions to the deformation theory of complexes. With Nick
Addington he established a compatibility result for two rationality conjectures on cubic fourfolds.
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he formulated a conjecture (now known as the ThomasâYau conjecture) concerning the existence of a special
Lagrangian in the Hamiltonian deformation class of a fixed
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Hori, Kentaro; Katz, Sheldon; Klemm, Albrecht; Pandharipande, Rahul; Thomas, Richard; Vafa, Cumrun; Vakil, Ravi; Zaslow, Eric (2003).
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Huybrechts, Daniel; Thomas, Richard P (2009). "Deformation-obstruction theory for complexes via Atiyah and
KodairaâSpencer classes".
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281:. His doctoral thesis, which introduced the invariants that later became known as DonaldsonâThomas invariants, was published in the
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Proceedings of the Winter School on Mirror
Symmetry, Vector Bundles and Lagrangian Cycles, Harvard, January
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as `A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on K3 fibrations'. Motivated by
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Pandharipande, R; Thomas, R. P (2009). "Curve counting via stable pairs in the derived category".
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Maulik, D; Pandharipande, R; Thomas, R. P (2010). "Curves on K 3 surfaces and modular forms".
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510:"A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on $ K3$ fibrations"
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869:. Clay Mathematics Monographs. Vol. 1. Cambridge, MA: Clay Mathematics Institute.
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394:. His contributions to algebraic geometry led to his election to the 2018 class of
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and the
University of Oxford. He was made professor of pure mathematics in 2005.
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1112:"ICM Plenary and Invited Speakers | International Mathematical Union (IMU)"
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Professors in
Mathematics and Chemistry honoured with Royal Society Fellowships
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In 2010 he also was invited speaker for the algebraic geometry section at the
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1054:"The Shaw Prize - Top prizes for astronomy, life science and mathematics"
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Thomas, R. P (2000). "Derived categories for the working mathematician".
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390:, where he delivered a lecture on mirror symmetry. Thomas was elected a
612:(2002). "Special Lagrangians, stable bundles and mean curvature flow".
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246:, a major topic in geometry and the mathematics of string theory.
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561:"Braid group actions on derived categories of coherent sheaves"
471:"Richard Thomas - Scholars | Institute for Advanced Study"
238:. In his dissertation research with Donaldson, he defined the
813:"Hodge theory and derived categories of cubic fourfolds"
186:
is a British mathematician working in several areas of
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Before joining Imperial College, he was member of the
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1008:"Frames of Mind | London Mathematical Society"
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1616:Royal Society Wolfson Research Merit Award holders
206:ââa phenomenon in pure mathematics predicted by
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419:"Department of Mathematics Prizes and Awards"
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1591:Fellows of the American Mathematical Society
811:Addington, Nicolas; Thomas, Richard (2014).
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374:Royal Society Wolfson Research Merit Award
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490:. Imperial College London. Archived from
421:. Imperial College London. Archived from
392:Fellow of the Royal Society (FRS) in 2015
325:, he used the PT invariants to prove the
710:A short proof of the Göttsche conjecture
384:International Congress of Mathematicians
614:Communications in Analysis and Geometry
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559:Seidel, Paul; Thomas, Richard (2001).
986:Thomas, R. P (2015). "Notes on HPD".
376:. From the Whitehead prize citation:
7:
1601:Academics of Imperial College London
1149:2018 Class of the Fellows of the AMS
130:Gauge Theory on Calabi-Yau Manifolds
1581:21st-century British mathematicians
1576:20th-century British mathematicians
1596:Alumni of the University of Oxford
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269:Thomas has made contributions to
230:in 1997 under the supervision of
514:Journal of Differential Geometry
360:In 2004, Thomas was awarded the
283:Journal of Differential Geometry
1:
1154:American Mathematical Society
577:10.1215/S0012-7094-01-10812-0
448:Mathematics Genealogy Project
400:American Mathematical Society
1586:Fellows of the Royal Society
955:10.1017/CBO9781107279544.007
459:Richard Thomas FRS Biography
256:Institute for Advanced Study
362:London Mathematical Society
287:homological mirror symmetry
240:DonaldsonâThomas invariants
222:Thomas obtained his PhD on
179:Richard Paul Winsley Thomas
44:Richard Paul Winsley Thomas
1632:
636:10.4310/CAG.2002.v10.n5.a8
485:"Academic Promotions 2005"
1097:10.1112/S0024609305004431
1039:10.1112/S0024609305004431
817:Duke Mathematical Journal
790:10.1007/s00208-009-0397-6
689:10.1007/s00222-009-0203-9
565:Duke Mathematical Journal
341:. His collaboration with
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1611:British string theorists
1178:publications indexed by
839:10.1215/00127094-2738639
659:Inventiones Mathematicae
370:Philip Leverhulme Prize
192:Imperial College London
190:. He is a professor at
117:Imperial College London
68:DonaldsonâThomas theory
537:10.4310/jdg/1214341649
508:Thomas, R. P. (2000).
311:Lagrangian submanifold
262:, and affiliated with
935:Thomas, R. P (2011).
768:Mathematische Annalen
745:10.1112/jtopol/jtq030
275:differential Geometry
260:Princeton, New Jersey
75:ThomasâYau conjecture
16:British mathematician
1090:(3): 468â476. 2005.
1032:(3): 468â476. 2005.
939:. pp. 282â333.
331:GromovâWitten theory
236:University of Oxford
228:CalabiâYau manifolds
54:University of Oxford
1606:Algebraic geometers
1080:"Prizewinners 2004"
1022:"Prizewinners 2004"
922:2000math......1045T
723:Journal of Topology
681:2009InMat.178..407P
319:Rahul Pandharipande
315:CalabiâYau manifold
301:in joint work with
279:symplectic geometry
250:Career and research
212:theoretical physics
497:on 2 October 2018.
473:. 9 December 2019.
425:on 27 January 2020
356:Awards and honours
295:derived categories
271:algebraic geometry
264:Harvard University
200:algebraic geometry
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1448:Natalie Strynadka
1338:Zoubin Ghahramani
343:Daniel Huybrechts
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99:Scientific career
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1318:A. W. F. Edwards
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1060:on 17 March 2018
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232:Simon Donaldson
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196:moduli problems
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1343:Mike Goddard
1273:Rory Collins
1238:Mark Achtman
1157:, retrieved
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1550:John Spence
1540:Gail Martin
1489:Robin Saxby
1433:Scott Sloan
1408:Andrew Read
1403:John Rarity
1383:Ketan Patel
1313:James Dyson
1288:Anne Cutler
1278:Andy Cooper
1263:Jane Clarke
586:10044/1/220
335:K3 surfaces
303:Paul Seidel
293:actions on
291:braid group
108:Mathematics
1565:Categories
1530:Jiayang Li
1515:Linda Buck
1253:Kamal Bawa
1159:3 November
993:1512.08985
610:Yau, S.-T.
429:22 January
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