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

Stuart Teisserie, PhD Student. Co-supervised with Rod Gover
University of Auckland
2022-
Xavier Coulter, PhD Student. Co-supervised with Norman Do
University of Auckland
2021-
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-
Oliver Li, MPhil Student
A Narasimhan-Seshadri Theorem for Twisted Holomorphic Bundles
University of Auckland
2021
Chris Pirie, MPhil Student
Real Group-Valued Implosion
University of Auckland
2021
Joshua Lehman, Honours Student
The Poincare-Hopf Theorem for Orbiline Fields
University of Auckland
2022

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

Elizabeth Jagersma
Analytic Torsion and the Cheeger-Müller Theorem
University of Auckland
2019-2020
Vincent Braunack-Mayer (formerly Schlegel)
The Caloron Correspondence and Odd Differential K-theory
University of Adelaide
2012-2013

Honours Students

Chris Pirie
Donaldson's Diagonalisability Theorem for 4-Manifolds
University of Auckland
2021
Oliver Li. Co-supervised with Jeroen Schillewaert
Sheaves and Schemes in Algebraic Geometry
University of Auckland
2020
Xavier Coulter
Hurwitz Numbers and Expectation Values
University of Auckland
2020
Hunter Linton
Localisation in Equivariant Cohomology
University of Auckland
2019
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

Research Students

Joshua Lehman, Summer Research Student
Geometry of Orbifolds
University of Auckland
2022
Matthew French, Summer Research Student
Clifford and Geometric Algebras
University of Auckland
2021
Pankaj Ghodla, Summer Research Student
Differential Geometry of Curves and Surfaces
University of Auckland
2021
Luis Carlos Soldevilla, Research Student
Proof of the Poincare-Hopf Index Theorem
University of Auckland
2020
Yourong Frank Wang, Summer Research Student
Geometry of Chiral Anomalies in Quantum Field Theory
University of Auckland
2020
Dannin Eccles, Summer Research Student
Algebraic K-theory and Quadratic Reciprocity
University of Auckland
2020
Juan Kim, Summer Research Student
The Riemann Mapping Theorem
University of Auckland
2020
Anish Sachdeva, Summer Research Student
Geometry of Möbius Transformations
University of Auckland
2020
Odette Jennings, Science Scholar Student
q-Polynomials of Rooted Trees
University of Auckland
2019
Chris Pirie, Research Student
Topics in Differential Topology
University of Auckland
2019
Ruta Sliazkaite, Northern Hemisphere Summer Research Student
K-theory and Adams Operations
University of Auckland
2019
Dannin Eccles, Summer Research Student
Khovanov Homology of Knots and Links
University of Auckland
2019
Xavier Coulter, Summer Research Student
Classification of Complex Semisimple Lie Algebras
University of Auckland
2019
Odette Jennings, Summer Research Student
Properties of the Alexander Polynomial
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
Parsa Kavkani, Summer Research Student
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