Subject area for

Authored Books Other

Conference Papers Refereed

Grant
 BOUNDARIES AND CURATURE IN GROUP THEORY  MELBOURNE EARLY CAREER RESEARCHER GRANT SCHEME 2006
 Geometric group theory
 Geometric structures on 3manifolds
 Minimal surfaces
 Moduli spaces
 The Structure and Geometry of Graphs
 Threedimensional geometry and topology
 Triangulations in dimension three: algorithms and geometric structures

Journal Articles Refereed
 A 15colouring of 3space omitting distance one
 A proof of Atiyah's conjecture on configurations of four points in Euclidean threespace.
 Affine Hecke algebras and the Schubert calculus
 Asymptotic values of hyperbolic monopoles
 Closed Geodesics on Incomplete Surfaces
 Combinatorics in affine flag varieties
 Commensurators of cusped hyperbolic manifolds
 Coxeter groups act on CAT(0) cube complexes
 Lengths of geodesics on nonorientable hyperbolic surfaces
 Minimal spheres of arbitrarily high Morse index
 On Archimedean link complements
 On the chromatic number of plane tilings
 Spectral curves and the mass of hyperbolic monopoles
 The Orevkov invariant of an affine plane curve
 The shape of hyperbolic Dehn surgery space
 Uniform nonamenability
 Universal bounds for hyperbolic Dehn surgery
 Visualizing Ricci Flow of Manifolds of Revolution