Tom Bridgeland is a professor of mathematics at the University of Oxford. Previously he was a professor at Sheffield University. He did his PhD at the University of Edinburgh, where he stayed for a postdoc position. His research interest is algebraic geometry, focussing on properties of derived categories of coherent sheaves on algebraic varieties. He won the Adams Prize in 2007.
His most-cited papers are on stability conditions, on triangulated categories [1] and K3 surfaces;[2] in the first he defines the idea of a 'stability condition' on a triangulated category, and demonstrates that the set of all stability conditions on a fixed category form a manifold, whilst in the second he describes one connected component of the space of stability conditions on the bounded derived category of coherent sheaves on a complex algebraic K3 surface.