Topology at Monash
Topology is the mathematical study of shape and space.
Monash has a vibrant research group in topology, including several academic staff, PhD and honours students.
Our research specialises in low-dimensional topology, which includes surfaces, knots, 3-manifolds, and 4-dimensional spaces. We also specialise in contact and symplectic geometry, and dynamics.
The following academic staff are members of the Topology group at Monash.
Daniel Mathews likes to study geometry, topology and mathematical physics, including such topics as: knot theory, contact and symplectic topology, hyperbolic geometry, Floer homology, topological quantum field theory. He especially likes when these topics include interesting algebra or combinatorics or categories.
Brett Parker works at the interface of algebraic and differential geometry, topology, and mathematical physics. He has invented a new kind of space, called an exploded manifold, useful for studying symplectic topology, holomorphic curves, and Gromov-Witten invariants.