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@shef.ac.uk
+44 114 222 3747

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.

View my CV (70KB)

Research interests

I am an algebraic geometer with a particular interest in homological methods and interactions with string theory. My main focus is on properties of derived categories of coherent sheaves on algebraic varieties. These arise in string theory as categories of D-branes, and are related via Kontsevich's famous homological mirror symmetry conjecture to Fukaya categories of symplectic manifolds.

Categories with similar properties and a more explicit flavour can be defined using representations of quivers. Other closely related mathematical areas I have an interest in are Donaldson-Thomas invariants and Hall algebras.

Publications

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Journal articles

All publications

Journal articles

Chapters

Conference proceedings papers

Preprints

  • Bridgeland T (2023) Tau functions from Joyce structures. RIS download Bibtex download
  • Bridgeland T (2022) Joyce structures on spaces of quadratic differentials I, arXiv. RIS download Bibtex download
  • Bridgeland T & Strachan IAB (2020) Complex hyperkähler structures defined by Donaldson-Thomas invariants, arXiv. RIS download Bibtex download
  • Bridgeland T & Masoero D (2020) On the monodromy of the deformed cubic oscillator, arXiv. RIS download Bibtex download
  • Bridgeland T & Maciocia A (2019) Complex surfaces with equivalent derived categories, arXiv. RIS download Bibtex download
  • Barbieri A, Bridgeland T & Stoppa J (2019) A quantized Riemann-Hilbert problem in Donaldson-Thomas theory, arXiv. RIS download Bibtex download
  • Allegretti DGL & Bridgeland T (2018) The monodromy of meromorphic projective structures, arXiv. RIS download Bibtex download
  • Bridgeland T (2017) Riemann-Hilbert problems for the resolved conifold, arXiv. RIS download Bibtex download
  • Bridgeland T (2016) Riemann-Hilbert problems from Donaldson-Thomas theory, arXiv. RIS download Bibtex download
  • Bridgeland T (2016) Hall algebras and Donaldson-Thomas invariants, arXiv. RIS download Bibtex download
  • Bridgeland T (2016) Scattering diagrams, Hall algebras and stability conditions, arXiv. RIS download Bibtex download
  • Bridgeland T, Qiu Y & Sutherland T (2014) Stability conditions and the $A_2$ quiver, arXiv. RIS download Bibtex download
  • Bayer A & Bridgeland T (2013) Derived automorphism groups of K3 surfaces of Picard rank 1, arXiv. RIS download Bibtex download
  • Bridgeland T & Smith I (2013) Quadratic differentials as stability conditions, arXiv. RIS download Bibtex download
  • Bridgeland T (2011) Quantum groups via Hall algebras of complexes, arXiv. RIS download Bibtex download
  • Bridgeland T & Toledano-Laredo V (2010) Stokes factors and multilogarithms, arXiv. RIS download Bibtex download
  • Bridgeland T (2010) Hall algebras and curve-counting invariants, arXiv. RIS download Bibtex download
  • Bridgeland T (2010) An introduction to motivic Hall algebras, arXiv. RIS download Bibtex download
  • Bridgeland T & Stern D (2009) Helices on del Pezzo surfaces and tilting Calabi-Yau algebras, arXiv. RIS download Bibtex download
  • Bridgeland T & Toledano-Laredo V (2008) Stability conditions and Stokes factors, arXiv. RIS download Bibtex download
  • Bridgeland T (2006) Spaces of stability conditions, arXiv. RIS download Bibtex download
  • Bridgeland T & Iyengar S (2006) A criterion for regularity of local rings, arXiv. RIS download Bibtex download
  • Bridgeland T (2006) Derived categories of coherent sheaves, arXiv. RIS download Bibtex download
  • Bridgeland T (2005) Stability conditions on a non-compact Calabi-Yau threefold, arXiv. RIS download Bibtex download
  • Bridgeland T (2005) Stability conditions and Kleinian singularities, arXiv. RIS download Bibtex download
  • Bridgeland T (2005) T-structures on some local Calabi-Yau varieties, arXiv. RIS download Bibtex download
  • Bridgeland T (2003) Stability conditions on K3 surfaces, arXiv. RIS download Bibtex download
  • Bridgeland T (2002) Stability conditions on triangulated categories, arXiv. RIS download Bibtex download
  • Bridgeland T (2000) Flops and derived categories, arXiv. RIS download Bibtex download
  • Bridgeland T, King A & Reid M (1999) Mukai implies McKay: the McKay correspondence as an equivalence of derived categories, arXiv. RIS download Bibtex download
  • Bridgeland T & Maciocia A (1999) Fourier-Mukai transforms for K3 and elliptic fibrations, arXiv. RIS download Bibtex download
  • Bridgeland T & Maciocia A (1998) Fourier-Mukai transforms for quotient varieties, arXiv. RIS download Bibtex download
  • Bridgeland T (1998) Equivalences of triangulated categories and Fourier-Mukai transforms, arXiv. RIS download Bibtex download
  • Bridgeland T (1997) Fourier-Mukai transforms for elliptic surfaces, arXiv. RIS download Bibtex download
Research group
Grants

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

Talks