Bridgeland's research interest is in
algebraic geometry, focusing on properties of
derived categories of
coherent sheaves on
algebraic varieties. His most-cited papers are on stability conditions, on triangulated categories and
K3 surfaces; 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. Bridgeland's work helped to establish the coherent derived category as a key invariant of algebraic varieties and stimulated world-wide enthusiasm for what had previously been a technical backwater.
Awards and honours Bridgeland won the
Berwick Prize in 2003, the
Adams Prize in 2007 and was elected a
Fellow of the Royal Society (FRS) in 2014. He was an invited speaker at the
International Congress of Mathematicians, Madrid in 2006. == References ==