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:
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Current Students
| Stuart Teisseire, PhD Student. Co-supervised with Rod Gover University of Auckland |
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| Baylee Verzyde, MPhil Student University of Auckland | |
| Marc Lescano, Honours Student. Co-supervised with Jurij Volcic University of Auckland | |
| Sean Yang, Honours Student University of Auckland |
Former Students
PhD Students
| Xavier Coulter Co-supervised with Norman Do Topological Recursion, Deformations and Interlacing University of Auckland |
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| Bartek Ewertowski Co-supervised with Rod Gover Relative BGG Cohomology, Cartan Holonomy Reductions, and Group Cohomology University of Auckland |
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| Marcos Orseli, Co-supervised with David Baraglia Equivariant Index on Toric Contact Manifolds (Placed on the Dean's List) University of Auckland |
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| Mostafa Raziebrahimsaraei, Co-supervised with Tom ter Elst Deformations of the Verlinde Algebra University of Auckland |
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| Olivia Sorto, Co-supervised with Rod Gover Twisted Milnor Metric for Finite Group Actions University of Auckland |
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| Daniel Snell, Co-supervised with Rod Gover Distinguished Curves and Submanifolds in Conformal Geometry University of Auckland |
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| Keegan Flood, Co-supervised with Rod Gover The Geometry of Solutions to the Metrisability Equation in Projective and c-Projective Geometry University of Auckland |
MPhil Students
| Lavender Marshall Concordance Invariants from Grid Homology University of Auckland |
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| Oliver Li Moduli of Vector Bundles over Algebraic Curves University of Auckland |
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| Chris Pirie Real Symplectic Implosion University of Auckland |
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| Elizabeth Jagersma Analytic Torsion and the Cheeger-Müller Theorem University of Auckland |
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| Vincent Braunack-Mayer (formerly Schlegel) The Caloron Correspondence and Odd Differential K-theory University of Adelaide |
Honours Students
| Eugene Di Giuseppe The Yamabe Invariant of 3-Manifolds University of Auckland |
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| Baylee Verzyde A Geometric Existence Proof for the Vortex Equations University of Auckland |
Levi Li Differential Geometry of Surfaces and the Willmore Conjecture University of Auckland |
| Joshua Lehman A Poincare-Hopf Theorem for Orbiline Fields University of Auckland |
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| Ben Allen, Honours Student Aspects of Monstrous Moonshine University of Auckland |
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| Chris Pirie Donaldson's Diagonalisability Theorem for 4-Manifolds University of Auckland |
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| Oliver Li. Co-supervised with Jeroen Schillewaert Sheaves and Schemes in Algebraic Geometry University of Auckland |
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| Xavier Coulter Hurwitz Numbers and Expectation Values University of Auckland | |
| Hunter Linton Localisation in Equivariant Cohomology University of Auckland | |
| David Farrell Generalised Stone Dualities University of Auckland |
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| Louis Christie An Analytic Proof of the Morse Inequalities University of Auckland |
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| Thi Quynh Trang Nguyen Einstein Metrics on Principal Circle Bundles University of Adelaide |
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| Adrian Fernandez Tojo Birkhoff Factorisation Applied to Holomorphic Bundles University of Adelaide |
Research Students
| Sean Yang, Summer Research Student A Probabilistic Interpretation of the Horn Problem University of Auckland |
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| Chloe Wang, Summer Research Student Applying AI to Find Faster Matrix Multiplication Algorithms University of Auckland Co-supervised with Jesse Goodman and Simone Linz |
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| Yan Liu, Summer Research Student Higher-Dimensional Regression University of Auckland Co-supervised with Jesse Goodman and Simone Linz |
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| Tony Schaufelberger, Summer Research Student Neural Network Application on the Minimum Hybridization Problem University of Auckland Co-supervised with Jesse Goodman and Simone Linz |
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| Oscar Obioha, Research Student Properties of Minkowski Space University of Auckland |
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| Louis Baragwanath, Science Scholar Student Mathematics of Machine Learning University of Auckland |
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| Benjamin Matson, Science Scholar Student Problems in Number Theory University of Auckland |
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| Joshua Lehman, Summer Research Student Chen-Ruan Cohomology of Orbifolds University of Auckland |
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| Matthew French, Summer Research Student Clifford and Geometric Algebras University of Auckland |
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| Pankaj Ghodla, Summer Research Student Differential Geometry of Curves and Surfaces University of Auckland |
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| Luis Carlos Soldevilla, Research Student Proof of the Poincare-Hopf Index Theorem University of Auckland |
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| Yourong Frank Wang, Summer Research Student Geometry of Chiral Anomalies in Quantum Field Theory University of Auckland |
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| Dannin Eccles, Summer Research Student Algebraic K-theory and Quadratic Reciprocity University of Auckland |
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| Juan Kim, Summer Research Student The Riemann Mapping Theorem University of Auckland |
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| Anish Sachdeva, Summer Research Student Geometry of Möbius Transformations University of Auckland | |
| Odette Jennings, Science Scholar Student q-Polynomials of Rooted Trees University of Auckland |
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| Chris Pirie, Research Student Topics in Differential Topology University of Auckland | |
| Ruta Sliazkaite, Northern Hemisphere Summer Research Student K-theory and Adams Operations University of Auckland |
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| Dannin Eccles, Summer Research Student Khovanov Homology of Knots and Links University of Auckland |
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| Xavier Coulter, Summer Research Student Classification of Complex Semisimple Lie Algebras University of Auckland |
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| Odette Jennings, Summer Research Student Properties of the Alexander Polynomial University of Auckland |
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| Aria Hart, Summer Research Student Geometry of Minimal Surfaces University of Auckland |
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| Chris Pirie, Summer Research Student Milnor's Exotic 7-Spheres University of Auckland | |
| Parsa Kavkani, Summer Research Student Integer Partitions and Young Diagrams University of Adelaide |
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| Thi Quynh Trang Nguyen, Adelaide Vacation Research Scholar Geometric Aspects of Yang-Mills Theory University of Adelaide |