Student Projects

I am happy to supervise Honours, Masters or PhD projects in the areas of differential geometry, topology, Lie theory and mathematical physics. This includes projects on:
  • moduli spaces arising in gauge theory,
  • topology and geometry of representation varieties,
  • Lie algebras, vertex operator algebras and modular forms,
  • K-theory, index theory and geometric quantisation,
  • Poisson geometry and generalised geometry,
  • geometric dualities arising in string theory.
  • braid groups and knot theory.
If you are interested, please contact me by email for more details.

Current Students

Olivia Sorto, PhD Student. Co-supervised with Rod Gover.
University of Auckland
2018-
Daniel Snell, PhD Student. Co-supervised with Rod Gover.
University of Auckland
2017-
Bartek Ewertowski, PhD Student. Co-supervised with Rod Gover.
University of Auckland
2016-
Keegan Flood, PhD Student. Co-supervised with Rod Gover.
University of Auckland
2016-
David Farrell, Honours Student
Variational Calculus and Einstein Metrics
University of Auckland
2019
Dannin Eccles, Summer Research Student
Knot Invariants
University of Auckland
2019
Xavier Coulter, Summer Research Student
Classification of Root Systems
University of Auckland
2019
Odette Jennings, Summer Research Student
Aspects of Knot Theory
University of Auckland
2019
Aria Hart, Summer Research Student
Geometry of Minimal Surfaces
University of Auckland
2019
Chris Pirie, Summer Research Student
Milnor's Exotic 7-Spheres
University of Auckland
2019

Former Students

Louis Christie, Honours Student
An Analytic Proof of the Morse Inequalities
University of Auckland
2018
Vincent Schlegel, MPhil Student
The Caloron Correspondence and Odd Differential K-theory
University of Adelaide
2012-2013
Thi Quynh Trang Nguyen, Honours Student
Einstein Metrics on Principal Circle Bundles
University of Adelaide
2013-2014
Adrian Fernandez Tojo, Honours Student
Birkhoff Factorisation Applied to Holomorphic Bundles
University of Adelaide
2011-2012
Parsa Kavkani, Summer Research Student
Integer Partitions and Young Diagrams
University of Adelaide
2013-2014
Thi Quynh Trang Nguyen, Adelaide Vacation Research Scholar
Geometric Aspects of Yang-Mills Theory
University of Adelaide
2012-2013