Subject area for

Book Chapters Other

Conference Papers Refereed

Grant
 Algorithms and computation in fourdimensional topology
 BOUNDARIES AND CURATURE IN GROUP THEORY  MELBOURNE EARLY CAREER RESEARCHER GRANT SCHEME 2006
 Geometric group theory
 Geometric structures on 3manifolds
 Holomorphic curves, reeb flows and contact topology
 Homotopy theory: interactions with representation theory and moduli spaces
 Minimal surfaces
 Statistical topology
 Threedimensional geometry and topology
 Topics on 3 and 4dimensional manifolds
 Topological methods in geometry and arithmetic.
 Triangulations in dimension three: algorithms and geometric structures

Journal Articles Refereed
 An Algorithm to Recognise Small Seifert Fiber Spaces
 Canonical splittings of groups and 3manifolds
 Closed Geodesics on Incomplete Surfaces
 Commensurators of cusped hyperbolic manifolds
 Comparing open book and Heegaard decompositions of 3manifolds
 Coxeter groups act on CAT(0) cube complexes
 Ideal triangulations of 3manifolds I: spun normal surface theory
 Ideal triangulations of 3manifolds II; taut and angle structures
 Localising Dehn's lemma and the loop theorem in 3manifolds
 On Archimedean link complements
 Onesided Heegaard splittings of RP^3
 Orbifold Genera, Product formulas and power operations
 Period three actions on the threesphere
 Regular neighbourhoods and canonical decompositions for groups
 Smash products of E(1)local spectra at a local prime
 String homology of spheres and projective spaces
 The Jacobi orientation adn the twovariable elliptic genus
 The shape of hyperbolic Dehn surgery space
 Twoparameter Semigroups
 Universal bounds for hyperbolic Dehn surgery
 Visualizing Ricci Flow of Manifolds of Revolution