Professor Tom Bridgeland FRS

School of Mathematical and Physical Sciences

Royal Society Research Professor

Professor Tom Bridgeland FRS
Profile picture of Professor Tom Bridgeland FRS
t.bridgeland@sheffield.ac.uk
J18B, Hicks Building

Full contact details

Professor Tom Bridgeland FRS
School of Mathematical and Physical Sciences
J18B
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
Profile

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

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

Show: Featured publications All publications

Journal articles

  • Bridgeland T (2020) . Journal of Differential Geometry, 115(3), 395-435.
  • Bridgeland T (2019) . Inventiones Mathematicae, 216(1), 69-124.
  • Bridgeland T (2017) . Algebraic Geometry, 4(5), 523-561.
  • Bayer A & Bridgeland T (2016) . Duke Mathematical Journal, 166(1), 75-124.
  • Bridgeland T & Smith I (2014) . Publications mathématiques de l'IHÉS.

All publications

Journal articles

  • Bridgeland T (2025) . Geometry & Topology, 29(5), 2695-2731.
  • Bridgeland T & Tulli I (2025) . Communications in Mathematical Physics, 406(6).
  • Bridgeland T (2025) . Advances in Mathematics, 462.
  • Bridgeland T (2024) . Symmetry, Integrability and Geometry: Methods and Applications, 20(112).
  • Bridgeland T & Masoero D (2023) . Mathematische Annalen, 385(1-2), 193-258.
  • Bridgeland T & Strachan IAB (2021) . Letters in Mathematical Physics, 111.
  • Bridgeland T (2020) . Journal of Differential Geometry, 115(3), 395-435.
  • Allegretti DGL & Bridgeland T (2020) . Transactions of the American Mathematical Society, 373, 6321-6367.
  • Bridgeland T, Qiu Y & Sutherland T (2020) . Advances in Mathematics, 365.
  • Bridgeland T (2019) . Inventiones Mathematicae, 216(1), 69-124.
  • Bridgeland T & Maciocia A (2017) . Journal of Geometry and Physics, 122, 119-127.
  • Bridgeland T (2017) . Algebraic Geometry, 4(5), 523-561.
  • Bayer A & Bridgeland T (2016) . Duke Mathematical Journal, 166(1), 75-124.
  • Bridgeland T & Smith I (2014) . Publications mathématiques de l'IHÉS.
  • Bridgeland T (2013) . Annals of Mathematics, 177(2), 739-759.
  • Bridgeland T & Toledano Laredo V (2013) . crll, 2013(682), 89-128.
  • Bridgeland T (2012) . Advances in Mathematics, 229(1), 102-138.
  • Bridgeland T & Toledano Laredo V (2012) . Inventiones mathematicae, 187(1), 61-98.
  • Bridgeland T & Stern D (2010) . Advances in Mathematics, 224(4), 1672-1716.
  • Bridgeland T (2008) . Duke Mathematical Journal, 141(2).
  • Bridgeland T (2007) . Annals of Mathematics, 166(2), 317-345.
  • Bridgeland T (2007) , 563-582.
  • Bridgeland T (2006) . Communications in Mathematical Physics, 266(3), 715-733.
  • Bridgeland T (2005) . Journal of Algebra, 289(2), 453-483.
  • Bridgeland T & Maciocia A (2002) . Journal of Algebraic Geometry, 11(4), 629-657.
  • Bridgeland T (2002) . Inventiones Mathematicae, 147(3), 613-632.
  • Bridgeland T & Maciocia A (2001) . Mathematische Zeitschrift, 236(4), 677-697.
  • BRIDGELAND T (2001) The McKay correspondence as an equivalence of derived categories. J. Amer. Math. Soc., 14, 535-554.
  • Bridgeland T (1999) . Bulletin of the London Mathematical Society, 31(1), 25-34.
  • Bridgeland T (1998) . Journal für die reine und angewandte Mathematik (Crelles Journal), 1998(498), 115-133.
  • Bridgeland T () . Algebraic Geometry, 523-561.
  • Bridgeland T () . Journal of the American Mathematical Society, 24(4), 969-998.
  • Bridgeland T () . International Mathematics Research Notices.
  • Bridgeland T & Iyengar S () . Comptes Rendus. Mathématique, 342(10), 723-726.

Book chapters

  • Bridgeland T (2021) In Novikov S, Krichever I, Ogievetsky O & Shlosman S (Ed.), Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry (pp. 1-66). American Mathematical Society
  • Bridgeland T (2018) (pp. 75-100). American Mathematical Society

Conference proceedings

  • Bridgeland T (2009) (pp 1-21)

Preprints

  • Barbieri A, Bridgeland T & Stoppa J (2025) , arXiv.
  • Bridgeland T & Del Monte F (2025) , arXiv.
  • Bridgeland T & Ruddat H (2025) , arXiv.
  • Bridgeland T & Masoero D (2020) , arXiv.
  • Bridgeland T & Maciocia A (2019) , arXiv.
  • Allegretti DGL & Bridgeland T (2018) , arXiv.
  • Bridgeland T (2017) , arXiv.
  • Bridgeland T (2016) , arXiv.
  • Bridgeland T (2016) , arXiv.
  • Bridgeland T (2016) , arXiv.
  • Bridgeland T, Qiu Y & Sutherland T (2014) , arXiv.
  • Bayer A & Bridgeland T (2013) , arXiv.
  • Bridgeland T & Smith I (2013) , arXiv.
  • Bridgeland T (2011) , arXiv.
  • Bridgeland T & Toledano-Laredo V (2010) , arXiv.
  • Bridgeland T (2010) , arXiv.
  • Bridgeland T (2010) , arXiv.
  • Bridgeland T & Stern D (2009) , arXiv.
  • Bridgeland T & Toledano-Laredo V (2008) , arXiv.
  • Bridgeland T (2006) , arXiv.
  • Bridgeland T & Iyengar S (2006) , arXiv.
  • Bridgeland T (2006) , arXiv.
  • Bridgeland T (2005) , arXiv.
  • Bridgeland T (2005) , arXiv.
  • Bridgeland T (2005) , arXiv.
  • Bridgeland T (2003) , arXiv.
  • Bridgeland T (2002) , arXiv.
  • Bridgeland T (2000) , arXiv.
  • Bridgeland T, King A & Reid M (1999) , arXiv.
  • Bridgeland T & Maciocia A (1999) , arXiv.
  • Bridgeland T & Maciocia A (1998) , arXiv.
  • Bridgeland T (1998) , arXiv.
  • Bridgeland T (1997) , arXiv.
Research group
Grants

Current grants, as Principal Investigator

 
Stability conditions, Donaldson-Thomas invariants and cluster varietiesRS
Stability conditions, DT invariants and cluster varietiesEC
Geometry from Donaldson-Thomas invariantsEPSRC
Professional activities and memberships

Talks

Links