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Ivan Smith (mathematician)

April 16, 2024

Ivan Smith FRS is a British mathematician who deals with symplectic manifolds and their interaction with algebraic geometry, low-dimensional topology, and dynamics. He is a professor at the University of Cambridge.

Education and career edit

Smith was born in 1973 to Neil Smith, a professor of linguistics at University College London. Smith studied at the University of Oxford, where he received his doctorate in 1999 under the supervision of Simon Donaldson with thesis Symplectic Geometry of Lefschetz Fibrations.[1] Smith is now a professor in Cambridge at Gonville & Caius College.

Among other things, Smith derived nodal invariants from symplectic geometry.

He received in 2007 the Whitehead Prize for his work in symplectic topology (highlighting the breadth of applied techniques from algebraic geometry and topology)[2] and in 2013 the Adams Prize. In 2018 he was an invited speaker at the International Congress of Mathematicians in Rio de Janeiro.

Smith was elected a Fellow of the Royal Society in 2023.[3]

Selected publications edit

  • Smith, Ivan; Thomas, Richard P.; Yau, Shing-Tung (2002). "Symplectic conifold transitions". Journal of Differential Geometry. 62 (2): 209–242. doi:10.4310/jdg/1090950192. hdl:10044/1/231. MR 1988503.
  • Fukaya, Kenji; Seidel, Paul; Smith, Ivan (2007). "Exact Lagrangian submanifolds in simply-connected cotangent bundles". Inventiones Mathematicae. 172 (1): 1–27. arXiv:math/0701783. Bibcode:2007InMat.172....1F. doi:10.1007/s00222-007-0092-8. MR 2385665. S2CID 647814.
  • with Denis Auroux: Lefschetz pencils, branched covers and symplectic invariants . In: Symplectic 4-manifolds and algebraic surfaces (Cetraro, 2003), Lect. Notes in Math. 1938, Springer, 2008, 1–53, Arxiv
  • with Mohammed Abouzaid: "Homological mirror symmetry for the 4-torus", Duke Math. J., Vol. 152, 2010, pp. 373–440, Arxiv
  • Floer cohomology and pencils of quadrics , Inventiones Mathematicae, Vol. 189, 2012, pp. 149–250, Arxiv
  • "A symplectic prolegomenon", Bulletin AMS, Vol. 52, 2015, pp. 415–464, doi:10.1090/S0273-0979-2015-01477-1
  • Quiver algebras as Fukaya categories , Geom. Topol., Vol. 19, 2015, 2557–2617, Arxiv
  • with Mohammed Abouzaid: Khovanov homology from Floer cohomology , Arxiv 2015
  • with Mohammed Abouzaid: The symplectic arc algebra is formal , Duke Math. J., Vol. 165, 2016, pp. 985–1060, Arxiv

References edit

  1. ^ Ivan Smith at the Mathematics Genealogy Project
  2. ^ Whitehead Prize to Smith 2007
  3. ^ "Ivan Smith". royalsociety.org. Retrieved 25 May 2023.

External links edit

  • Homepage in Cambridge
  • "Lagrangian Whitney sphere links - Ivan Smith". YouTube. 1 November 2016.
  • "An interview with Ivan Smith". YouTube. 8 August 2018.
  • "Stability conditions in symplectic topology – Ivan Smith – ICM2018". YouTube. 3 October 2018.

April 16, 2024
ivan, smith, mathematician, ivan, smith, british, mathematician, deals, with, symplectic, manifolds, their, interaction, with, algebraic, geometry, dimensional, topology, dynamics, professor, university, cambridge, contents, education, career, selected, public. Ivan Smith FRS is a British mathematician who deals with symplectic manifolds and their interaction with algebraic geometry low dimensional topology and dynamics He is a professor at the University of Cambridge Contents 1 Education and career 2 Selected publications 3 References 4 External linksEducation and career editSmith was born in 1973 to Neil Smith a professor of linguistics at University College London Smith studied at the University of Oxford where he received his doctorate in 1999 under the supervision of Simon Donaldson with thesis Symplectic Geometry of Lefschetz Fibrations 1 Smith is now a professor in Cambridge at Gonville amp Caius College Among other things Smith derived nodal invariants from symplectic geometry He received in 2007 the Whitehead Prize for his work in symplectic topology highlighting the breadth of applied techniques from algebraic geometry and topology 2 and in 2013 the Adams Prize In 2018 he was an invited speaker at the International Congress of Mathematicians in Rio de Janeiro Smith was elected a Fellow of the Royal Society in 2023 3 Selected publications editSmith Ivan Thomas Richard P Yau Shing Tung 2002 Symplectic conifold transitions Journal of Differential Geometry 62 2 209 242 doi 10 4310 jdg 1090950192 hdl 10044 1 231 MR 1988503 Fukaya Kenji Seidel Paul Smith Ivan 2007 Exact Lagrangian submanifolds in simply connected cotangent bundles Inventiones Mathematicae 172 1 1 27 arXiv math 0701783 Bibcode 2007InMat 172 1F doi 10 1007 s00222 007 0092 8 MR 2385665 S2CID 647814 with Denis Auroux Lefschetz pencils branched covers and symplectic invariants In Symplectic 4 manifolds and algebraic surfaces Cetraro 2003 Lect Notes in Math 1938 Springer 2008 1 53 Arxiv with Mohammed Abouzaid Homological mirror symmetry for the 4 torus Duke Math J Vol 152 2010 pp 373 440 Arxiv Floer cohomology and pencils of quadrics Inventiones Mathematicae Vol 189 2012 pp 149 250 Arxiv A symplectic prolegomenon Bulletin AMS Vol 52 2015 pp 415 464 doi 10 1090 S0273 0979 2015 01477 1 Quiver algebras as Fukaya categories Geom Topol Vol 19 2015 2557 2617 Arxiv with Mohammed Abouzaid Khovanov homology from Floer cohomology Arxiv 2015 with Mohammed Abouzaid The symplectic arc algebra is formal Duke Math J Vol 165 2016 pp 985 1060 ArxivReferences edit Ivan Smith at the Mathematics Genealogy Project Whitehead Prize to Smith 2007 Ivan Smith royalsociety org Retrieved 25 May 2023 External links editHomepage in Cambridge Lagrangian Whitney sphere links Ivan Smith YouTube 1 November 2016 An interview with Ivan Smith YouTube 8 August 2018 Stability conditions in symplectic topology Ivan Smith ICM2018 YouTube 3 October 2018 Retrieved from https en wikipedia org w index php title Ivan Smith mathematician amp oldid 1193634542, wikipedia, wiki, book, books, library,

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