Ellis R. Kolchin Memorial Lecture Tom Bridgeland All Souls College, Oxford "Tilting in Calabi-Yau Categories" Tilting is a fundamental operation in homological algebra, with a variety of applications in both algebra and

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Fourier-Mukai transforms for surfaces and moduli spaces of stable sheaves Tom Bridgeland Doctor of Philosophy

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• Sheaf theory
• Algebraic topology
• Homological algebra
• Algebraic geometry
• Sheaf
• Moduli space
• Coherent sheaf
• Direct image functor
• Verdier duality
• Abstract algebra
• Topology
• Algebra

TOM BRIDGELAND Curriculum Vitae PERSONAL DETAILS Address Telephone

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• Complex manifolds
• Tom Bridgeland
• Fourier–Mukai transform
• Connection
• Hall algebra
• Coherent sheaf
• Abstract algebra
• Mathematics
• Algebra