Student Projects

I am happy to supervise Honours, MPhil 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 Teaching

MATHS 250 - Advancing Mathematics 2, undergraduate course at the University of Auckland, Lecturer and Tutor Spring 2018
MATHS 731 - Functional Analysis, postgraduate course at the University of Auckland, Lecturer Spring 2018
Introduction to Homological Algebra, reading group at the University of Auckland Spring 2018

Upcoming Teaching

MATHS 130 - Calculus, undergraduate course at the University of Auckland, Lecturer and Tutor Fall 2019
MATHS 120 - Linear Algebra, undergraduate course at the University of Auckland, Lecturer and Tutor Spring 2019
MATHS 725 - Lie Groups and Lie Algebras, postgraduate course at the University of Auckland, Lecturer Spring 2019

Past Teaching

MATHS 735 - Analysis on Manifolds and Differential Geometry, honours course at the University of Auckland, Lecturer Fall 2018
MATHS 253 - Advancing Mathematics 3, undergraduate course at the University of Auckland, Lecturer and Tutor Fall 2018
MATHS 250 - Advancing Mathematics 2, undergraduate course at the University of Auckland, Lecturer Spring 2017
MATHS 253 - Advancing Mathematics 3, undergraduate course at the University of Auckland, Lecturer Spring 2017
Index Theory, graduate course at Instituto Nacional de Matematica Pura e Aplicada, Lecturer Fall 2016
K-theory and its Applications, a mini-course at the AMSI Winter School on Algebra, Geometry and Physics at the University of Queensland, Poster, Lecturer June - July, 2015
Mathematics for Information Technology I: Probability Theory, undergraduate course at Ngee Ann Adelaide Education Centre, Singapore, Lecturer Fall 2015
Mathematics for Information Technology I: Discrete Mathematics, undergraduate course at Ngee Ann Adelaide Education Centre, Singapore, Lecturer Fall 2014
Algebraic Topology, postgraduate course at The University of Adelaide, Lecturer Fall 2014
Mathematics IA: Calculus, undergraduate course at The University of Adelaide, Lecturer and Tutor Fall 2013
Integration and Analysis III, undergraduate course at The University of Adelaide, Lecturer and Tutor Spring 2012
Mathematics IB: Calculus, undergraduate course at The University of Adelaide, Lecturer and Tutor Fall 2012
Topics in Analysis IV, undergraduate course
at The University of Adelaide, Lecturer (part-time)
Spring 2011
Introduction to Financial Mathematics I, undergraduate course
at The University of Adelaide, Lecturer and Tutor
Fall 2011
Advanced Quantum Mechanics, undergraduate course at KTH
Tutor
Fall 2009
Vector Calculus, undergraduate course at KTH
Tutor
Fall 2009
Thermodynamics, undergraduate course at KTH
Tutor
Fall 2009
Relativity Theory, undergraduate course at KTH
Lecturer (part-time) and Tutor
Spring 2008
Relativity Theory, undergraduate course at KTH
Tutor
Spring 2007

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-
Louis Christie, Honours Student
Morse Theory and Witten Deformation
University of Auckland
2018
David Farrell, Honours Student
Variational Calculus and Einstein Metrics
University of Auckland
2018

Past Students

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