Tom Bridgeland | Academic Influence

Tom Bridgeland's AcademicInfluence.com Rankings

Tom Bridgeland

Mathematics

#2733

World Rank

#4158

Historical Rank

Differential Topology

#13

World Rank

#13

Historical Rank

Algebraic Geometry

#100

World Rank

#106

Historical Rank

Measure Theory

#3594

World Rank

#4238

Historical Rank

mathematics Degrees

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Mathematics

Tom Bridgeland's Degrees

Masters Mathematics University of Oxford
Bachelors Mathematics University of Oxford

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Why Is Tom Bridgeland Influential?

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According to Wikipedia, Thomas Andrew Bridgeland is a Professor of Mathematics at the University of Sheffield. 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.

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Tom Bridgeland's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Stability conditions on triangulated categories (2002) (842)
Mukai implies McKay: the McKay correspondence as an equivalence of derived categories (1999) (625)
Stability conditions on $K3$ surfaces (2003) (434)
Flops and derived categories (2000) (364)
Equivalences of Triangulated Categories and Fourier–Mukai Transforms (1998) (283)
Derived categories of coherent sheaves (2006) (227)
Quadratic differentials as stability conditions (2013) (204)
Hall algebras and curve-counting invariants (2010) (145)
Fourier-Mukai transforms for K3 and elliptic fibrations (1999) (141)
T-structures on some local Calabi–Yau varieties (2005) (132)
Dirichlet Branes and Mirror Symmetry (2009) (129)
Complex surfaces with equivalent derived categories (2001) (129)
Fourier-Mukai transforms for elliptic surfaces (1997) (123)
An introduction to motivic Hall algebras (2010) (110)
Spaces of stability conditions (2006) (104)
Quantum groups via Hall algebras of complexes (2011) (97)
Stability conditions and Kleinian singularities (2005) (94)
Stability Conditions on a Non-Compact Calabi-Yau Threefold (2005) (92)
Scattering diagrams, Hall algebras and stability conditions (2016) (85)
Derived automorphism groups of K3 surfaces of Picard rank $1$ (2013) (73)
Riemann–Hilbert problems from Donaldson–Thomas theory (2016) (57)
Stability conditions and Stokes factors (2008) (53)
Helices on del Pezzo surfaces and tilting Calabi-Yau algebras (2009) (47)
Fourier-Mukai Transforms for Quotient Varieties (1998) (46)
The monodromy of meromorphic projective structures (2018) (33)
Stability conditions and the A2 quiver (2014) (32)
Fourier-Mukai transforms for surfaces and moduli spaces of stable sheaves (2002) (26)
Stokes factors and multilogarithms (2010) (22)
Riemann-Hilbert problems for the resolved conifold (2017) (22)
Mukai implies McKay (1999) (21)
A criterion for regularity of local rings (2006) (14)
Geometry from Donaldson-Thomas invariants (2019) (14)
Fourier-Mukai transforms for K3 fibrations (1999) (11)
Complex hyperkähler structures defined by Donaldson–Thomas invariants (2020) (11)
Riemann–Hilbert problems for the resolved conifold and non-perturbative partition functions (2020) (10)
On the monodromy of the deformed cubic oscillator (2020) (9)
A Quantized Riemann–Hilbert Problem in Donaldson–Thomas Theory (2019) (9)
Hall algebras and Doanldson-Thomas invariants (2016) (6)
Hall algebras and Donaldson-Thomas invariants (2018) (5)
Stability Conditions on a Non-Compact (2006) (2)
Complex hyperkähler structures defined by Donaldson–Thomas invariants (2021) (1)
Tau functions from Joyce structures (2023) (1)
Stability conditions and quadratic differentials (2013) (1)
Counting invariants and wall-crossing (2009) (0)
In the hall of the flop king: two applications of perverse coherent sheaves to Donaldson-Thomas invariants (2012) (0)
Riemann–Hilbert problems from Donaldson–Thomas theory (2018) (0)
Joyce structures on spaces of quadratic differentials I (2022) (0)
Stability conditions and Stokes factors (2011) (0)
Wall-crossing for Donaldson-Thomas invariants (2017) (0)
Quadratic differentials as stability conditions (2014) (0)

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