Dr Jon Woolf B.A., M.Phil., D.Phil.
Senior lecturer Mathematical Sciences
- Work email Jonathan.Woolf@liverpool.ac.uk
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
External
Partial-compactifications of stability spaces. Heart fans of abelian categories.
Alessio Cipriani
External: Università degli studi di Verona
Algebraic descriptions of perverse sheaves. Highest weight categories.
Joerg Schuermann
External: Universität Münster
Witt groups of perverse sheaves