Research
Bridgeland stability spaces
Topology and geometry of Bridgeland stability spaces, particularly those arising from finite-dimensional algebras.
Perverse sheaves
Invariants of stratified spaces defined via categories of perverse sheaves, in particular Witt groups.
Algebraic descriptions of categories of perverse sheaves as modules over finite-dimensional algebras, in particular as highest weight categories.
Homotopy theory of stratified spaces
Homotopical invariants of stratified spaces and model structures for stratified homotopy theory.
Research grants
Partially - ordered homotopy theory of stratified spaces
LEVERHULME TRUST (UK)
April 2008 - March 2011
Research collaborations
Nathan Broomhead, David Pauksztello, David Ploog
Partial-compactifications of stability spaces. Heart fans of abelian categories.
Alessio Cipriani
Università degli studi di Verona
Algebraic descriptions of perverse sheaves. Highest weight categories.
Joerg Schuermann
Universität Münster
Witt groups of perverse sheaves