Tom Bridgeland | |
|---|---|
 | |
| Born | Thomas Andrew Bridgeland
[2] 1973 (age 50–51) |
| Education | Shelley High School [2] |
| Alma mater | |
| Awards |
|
| Scientific career | |
| Institutions | |
| Thesis | Fourier-Mukai transforms for surfaces and moduli spaces of stable sheaves (2002) |
| Doctoral advisor | Antony Maciocia [1] |
| Website |
tom-bridgeland |
Thomas Andrew Bridgeland FRS [3] (born 1973) is a Professor of Mathematics at the University of Sheffield. [1] [4] [5] [6] [7] [2] He was a senior research fellow in 2011–2013 at All Souls College, Oxford and, since 2013, remains as a Quondam Fellow. He is most well-known for defining Bridgeland stability conditions on triangulated categories.
Education
Bridgeland was educated at Shelley High School [7] in Huddersfield and Christ's College, Cambridge, where he studied the Mathematical Tripos in the University of Cambridge, graduating with a first class degree in mathematics in 1994 and a distinction in Part III the following year. He completed his PhD [8] at the University of Edinburgh, where he also stayed for a postdoctoral research position.[ citation needed]
Research and career
Bridgeland's research interest is in algebraic geometry, focusing on properties of derived categories of coherent sheaves on algebraic varieties. [9] [10] His most-cited papers are on stability conditions, on triangulated categories [11] and K3 surfaces; [12] 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). [13]
Awards and honours
Bridgeland won the Berwick Prize in 2003, the Adams Prize in 2007 and was elected a Fellow of the Royal Society (FRS) in 2014. [3] He was an invited speaker at the International Congress of Mathematicians, Madrid in 2006.
References
- ^ a b Tom Bridgeland at the Mathematics Genealogy Project
- ^ a b c Anon (2017). "Bridgeland, Prof. Tom Andrew". Who's Who (online Oxford University Press ed.). Oxford: A & C Black. doi: 10.1093/ww/9780199540884.013.U281971. (Subscription or UK public library membership required.)
- ^
a
b
c
d
e 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.
- ^ a b Bridgeland, Tom (2017). "Tom Bridgeland CV" (PDF). tom-bridgeland.staff.shef.ac.uk. Archived from the original (PDF) on 4 March 2016.
- ^ 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.
| International | |
|---|---|
| Academics | |
| Other | |
- 1973 births
- Living people
- 20th-century British mathematicians
- 21st-century British mathematicians
- Academics of the University of Sheffield
- Fellows of All Souls College, Oxford
- Fellows of the Royal Society
- Alumni of Christ's College, Cambridge
- Alumni of the University of Edinburgh
- Sir Edmund Whittaker Memorial Prize winners
Tom Bridgeland | |
|---|---|
|
| |
| Born | Thomas Andrew Bridgeland
[2] 1973 (age 50–51) |
| Education | Shelley High School [2] |
| Alma mater | |
| Awards |
|
| Scientific career | |
| Institutions | |
| Thesis | Fourier-Mukai transforms for surfaces and moduli spaces of stable sheaves (2002) |
| Doctoral advisor | Antony Maciocia [1] |
| Website |
tom-bridgeland |
Thomas Andrew Bridgeland FRS [3] (born 1973) is a Professor of Mathematics at the University of Sheffield. [1] [4] [5] [6] [7] [2] He was a senior research fellow in 2011–2013 at All Souls College, Oxford and, since 2013, remains as a Quondam Fellow. He is most well-known for defining Bridgeland stability conditions on triangulated categories.
Education
Bridgeland was educated at Shelley High School [7] in Huddersfield and Christ's College, Cambridge, where he studied the Mathematical Tripos in the University of Cambridge, graduating with a first class degree in mathematics in 1994 and a distinction in Part III the following year. He completed his PhD [8] at the University of Edinburgh, where he also stayed for a postdoctoral research position.[ citation needed]
Research and career
Bridgeland's research interest is in algebraic geometry, focusing on properties of derived categories of coherent sheaves on algebraic varieties. [9] [10] His most-cited papers are on stability conditions, on triangulated categories [11] and K3 surfaces; [12] 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). [13]
Awards and honours
Bridgeland won the Berwick Prize in 2003, the Adams Prize in 2007 and was elected a Fellow of the Royal Society (FRS) in 2014. [3] He was an invited speaker at the International Congress of Mathematicians, Madrid in 2006.
References
- ^ a b Tom Bridgeland at the Mathematics Genealogy Project
- ^ a b c Anon (2017). "Bridgeland, Prof. Tom Andrew". Who's Who (online Oxford University Press ed.). Oxford: A & C Black. doi: 10.1093/ww/9780199540884.013.U281971. (Subscription or UK public library membership required.)
- ^
a
b
c
d
e 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.
- ^ a b Bridgeland, Tom (2017). "Tom Bridgeland CV" (PDF). tom-bridgeland.staff.shef.ac.uk. Archived from the original (PDF) on 4 March 2016.
- ^ 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.
| International | |
|---|---|
| Academics | |
| Other | |
- 1973 births
- Living people
- 20th-century British mathematicians
- 21st-century British mathematicians
- Academics of the University of Sheffield
- Fellows of All Souls College, Oxford
- Fellows of the Royal Society
- Alumni of Christ's College, Cambridge
- Alumni of the University of Edinburgh
- Sir Edmund Whittaker Memorial Prize winners