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

Marcos Orseli, Marsden PhD Student. Co-supervised with David Baraglia
University of Auckland
2019-
Mostafa Raziebrahimsaraei, PhD Student. Co-supervised with Tom ter Elst. University of Auckland
2019-
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-
Elizabeth Jagersma, MPhil Student
Analytic Torsion and the Cheeger-Müller Theorem
University of Auckland
2019
Hunter Linton, Honours Student
Localisation in Equivariant cohomology
University of Auckland
2019
Odette Jennings, Science Scholar Student
The Schwarz-Christoffel Mapping
University of Auckland
2019
Chris Pirie, Research Student
The Seiberg-Witten Invariant
University of Auckland
2019

Former Students

PhD Students

Keegan Flood, Co-supervised with Rod Gover
The Geometry of Solutions to the Metrisability Equation in Projective and c-Projective Geometry
University of Auckland
2016-2019

MPhil Students

Vincent Braunack-Mayer
The Caloron Correspondence and Odd Differential K-theory
University of Adelaide
2012-2013

Honours Students

David Farrell
Generalised Stone Dualities
University of Auckland
2019
Louis Christie
An Analytic Proof of the Morse Inequalities
University of Auckland
2018
Thi Quynh Trang Nguyen
Einstein Metrics on Principal Circle Bundles
University of Adelaide
2013-2014
Adrian Fernandez Tojo
Birkhoff Factorisation Applied to Holomorphic Bundles
University of Adelaide
2011-2012

Summer Research Students

Ruta Sliazkaite, Northern Hemisphere Summer Research Student
K-theory and Adams Operations
University of Auckland
2019
Dannin Eccles
Khovanov Homology of Knots and Links
University of Auckland
2019
Xavier Coulter
Classification of Complex Semisimple Lie Algebras
University of Auckland
2019
Odette Jennings
Properties of the Alexander Polynomial
University of Auckland
2019
Aria Hart, Summer Research Student
Geometry of Minimal Surfaces
University of Auckland
2019
Chris Pirie
Milnor's Exotic 7-Spheres
University of Auckland
2019
Parsa Kavkani
Integer Partitions and Young Diagrams
University of Adelaide
2014
Thi Quynh Trang Nguyen, Adelaide Vacation Research Scholar
Geometric Aspects of Yang-Mills Theory
University of Adelaide
2013