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 Teisseire, PhD Student. Co-supervised with Rod Gover
University of Auckland
2022-
Bartek Ewertowski, PhD Student. Co-supervised with Rod Gover
University of Auckland
2016-
Xavier Coulter, PhD Student. Co-supervised with Norman Do
University of Auckland
2021-
Baylee Verzyde, Honours Student
University of Auckland
2024
Yihang Zeng, Honours Student
University of Auckland
2024

Former Students

PhD Students

Marcos Orseli, Co-supervised with David Baraglia
Equivariant Index on Toric Contact Manifolds
(Placed on the Dean's List)
University of Auckland
2019-2023
Mostafa Raziebrahimsaraei, Co-supervised with Tom ter Elst
Deformations of the Verlinde Algebra
University of Auckland
2019-2022
Olivia Sorto, Co-supervised with Rod Gover
Twisted Milnor Metric for Finite Group Actions
University of Auckland
2018-2022
Daniel Snell, Co-supervised with Rod Gover
Distinguished Curves and Submanifolds in Conformal Geometry
University of Auckland
2017-2022
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

Lavender Marshall
Concordance Invariants from Grid Homology
University of Auckland
2023-2024
Oliver Li
Moduli of Vector Bundles over Algebraic Curves
University of Auckland
2021-2022
Chris Pirie
Real Symplectic Implosion
University of Auckland
2021-2022
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

Levi Li
Differential Geometry of Surfaces and the Willmore Conjecture
University of Auckland
2023
Joshua Lehman
A Poincare-Hopf Theorem for Orbiline Fields
University of Auckland
2022
Ben Allen, Honours Student
Aspects of Monstrous Moonshine
University of Auckland
2022
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

Chloe Wang, Summer Research Student
Applying AI to Find Faster Matrix Multiplication Algorithms
University of Auckland
Co-supervised with Jesse Goodman and Simone Linz
2024
Yan Liu, Summer Research Student
Higher-Dimensional Regression
University of Auckland
Co-supervised with Jesse Goodman and Simone Linz
2024
Tony Schaufelberger, Summer Research Student
Neural Network Application on the Minimum Hybridization Problem
University of Auckland
Co-supervised with Jesse Goodman and Simone Linz
2024
Oscar Obioha, Research Student
Properties of Minkowski Space
University of Auckland
2023
Louis Baragwanath, Science Scholar Student
Mathematics of Machine Learning
University of Auckland
2022
Benjamin Matson, Science Scholar Student
Problems in Number Theory
University of Auckland
2022
Joshua Lehman, Summer Research Student
Chen-Ruan Cohomology 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