Tom Bridgeland
Thomas Andrew Bridgeland FRS[3] (born 1973) is a Professor of Mathematics at the University of Sheffield.[2][4][5][6][7][8][1] He is most well-known for defining Bridgeland stability conditions on triangulated categories.
Tom Bridgeland | |
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Born | Thomas Andrew Bridgeland[1] 1973 (age 47–48) |
Education | Shelley High School[1] |
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Awards |
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Scientific career | |
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Thesis | Fourier-Mukai transforms for surfaces and moduli spaces of stable sheaves (2002) |
Doctoral advisor | Antony Maciocia[2] |
Website | tom-bridgeland |
Education
Bridgeland was educated at Shelley High School[7] in Huddersfield and Christ's College, Cambridge where he studied the Cambridge Mathematical Tripos graduating with first class Bachelor of Arts degree with honours in Mathematics in 1995. He completed his PhD[9] at the University of Edinburgh, where he also stayed for a postdoctoral research position.
Research and career
Bridgeland's research interest is in algebraic geometry, focusing on properties of derived categories of coherent sheaves on algebraic varieties.[10][11] His most-cited papers are on stability conditions, on triangulated categories[12] and K3 surfaces;[13] in the first he defines the idea of a stability condition on a triangulated category, and demonstrates that the set of all stability conditions on a fixed category form a manifold, whilst in the second he describes one connected component of the space of stability conditions on the bounded derived category of coherent sheaves on a complex algebraic K3 surface.
Bridgeland's work helped to establish the coherent derived category as a key invariant of algebraic varieties and stimulated world-wide enthusiasm for what had previously been a technical backwater.[3] His results on Fourier-Mukai transforms solve many problems within algebraic geometry, and have been influential in homological and commutative algebra, the theory of moduli spaces, representation theory and combinatorics.[3] Bridgeland's 2002 Annals paper introduced spaces of stability conditions on triangulated categories, replacing the traditional rational slope of moduli problems by a complex phase. This far-reaching innovation gives a rigorous mathematical language for describing D-branes and creates a new area of deep interaction between theoretical physics and algebraic geometry. It has been a central component of subsequent work on homological mirror symmetry.[3]
Bridgeland's research has been funded by the Engineering and Physical Sciences Research Council (EPSRC).[14]
Awards and honours
Bridgeland won the Adams Prize in 2007 and was elected a Fellow of the Royal Society (FRS) in 2014.[3]
References
- Anon (2017). "Bridgeland, Prof. Tom Andrew". Who's Who. ukwhoswho.com (online Oxford University Press ed.). A & C Black, an imprint of Bloomsbury Publishing plc. doi:10.1093/ww/9780199540884.013.U281971. (subscription or UK public library membership required) (subscription required)
- Tom Bridgeland at the Mathematics Genealogy Project
- Anon (2014). "Professor Tom Bridgeland FRS". Royal Society. Retrieved 2 May 2014. One or more of the preceding sentences incorporates text from the royalsociety.org website where:
“All text published under the heading 'Biography' on Fellow profile pages is available under Creative Commons Attribution 4.0 International License.” --Royal Society Terms, conditions and policies at the Wayback Machine (archived 2016-11-11)
- Tom Bridgeland publications indexed by Google Scholar
- Tom Bridgeland publications indexed by the Scopus bibliographic database. (subscription required)
- Bridgeland, T. (2002). "Flops and derived categories". Inventiones Mathematicae. 147 (3): 613–632. arXiv:math/0009053. Bibcode:2002InMat.147..613B. doi:10.1007/s002220100185. S2CID 53059980.
- Bridgeland, Tom (2017). "Tom Bridgeland CV" (PDF). tom-bridgeland.staff.shef.ac.uk. Archived from the original (PDF) on 4 March 2016.
- "Tom Bridgeland publications". front.math.ucdavis.edu.
- Bridgeland, Thomas Andrew (1998). Fourier-Mukai Transforms for Surfaces and Moduli Spaces of Stable Sheaves (PhD thesis). University of Edinburgh. hdl:1842/12070. OCLC 606214894. EThOS uk.bl.ethos.641936.
- Bridgeland, T.; King, A.; Reid, M. (2001). "The McKay correspondence as an equivalence of derived categories" (PDF). Journal of the American Mathematical Society. 14 (3): 535. doi:10.1090/S0894-0347-01-00368-X. S2CID 15808151.
- Bridgeland, T. (2005). "T-structures on some local Calabi–Yau varieties". Journal of Algebra. 289 (2): 453–483. arXiv:math/0502050. Bibcode:2005math......2050B. doi:10.1016/j.jalgebra.2005.03.016. S2CID 14101159.
- Bridgeland, Tom (2002). "Stability conditions on triangulated categories". arXiv:math/0212237v3.
- Bridgeland, T. (2008). "Stability conditions on K3 surfaces". Duke Mathematical Journal. 141 (2): 241–291. arXiv:math/0212237. doi:10.1215/S0012-7094-08-14122-5. S2CID 16083703.
- "UK Government Grants awarded to Tom Bridgeland". gtr.rcuk.ac.uk. Swindon: Research Councils UK.
This article incorporates text available under the CC BY 4.0 license.