Professor Tom Bridgeland FRS
School of Mathematical and Physical Sciences
Royal Society Research Professor
Full contact details
School of Mathematical and Physical Sciences
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
- Profile
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After completing my undergraduate degree at Cambridge in 1995, I moved to Edinburgh to study for a PhD under Antony Maciocia. My thesis 'Fourier-Mukai transforms for surfaces and moduli spaces of stable sheaves' was completed in 1998.
I held a series of postdoctoral positions at Edinburgh and the University of Sheffield, including a Royal Society University Research Fellowship.
In 2012 I was elected to a Senior Research Fellowship at All Souls College, Oxford. I resigned this in 2013 to return to a position at Sheffield.
- Research interests
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I am interested in algebraic and enumerative geometry and links with mathematical physics. In the first part of my career I did a lot of work with derived and triangulated categories. In particular, I introduced the space of stability conditions on a triangulated category and studied it in examples. Later I did some work on generalised Donaldson-Thomas invariants. More recently I have been trying to use these invariants to define geometric structures on spaces of stability conditions. All these topics are purely mathematical in nature, but are heavily motivated by ideas from topological string theory.
- Publications
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- Research group
- Grants
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Current grants, as Principal Investigator
Stability conditions, Donaldson-Thomas invariants and cluster varieties RS Stability conditions, DT invariants and cluster varieties EC Geometry from Donaldson-Thomas invariants EPSRC
- Professional activities and memberships
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Talks
- From Donaldson-Thomas invariants to hyperkahler structures, Simons Centre meeting, January 2021.
- Geometry from Donaldson-Thomas invariants, Shafarevich seminar, June 2020.
- Wall-crossing for Donaldson-Thomas invariants (PDF, 276KB), Oxford, September 2017 (beamer slides).
- Stability conditions and quivers (PDF, 406KB), Stavanger, September 2015 (beamer slides).
- Stability conditions and wall-crossing: Three talks at the AMS algebraic geometry festival in July 2015.
- Lecture notes for an introductory course on derived categories of coherent sheaves (PDF, 369KB), Warwick, September 2014.
- If you want to learn about stability conditions, watch Daniel Huybrechts' talks at the Issac Newton Institute.
- Three talks on stability conditions from 2013: the first two are introductory, the last is about a class of examples relating to moduli spaces of quadratic differentials.
- Four lectures on stability and wall-crossing, April 2012.
- A video of an introductory lecture on derived categories in algebraic geometry, March 2007.