School of Mathematical Sciences
Faculty of Engineering, Computer and Mathematical Sciences
Eligible to supervise Masters and PhD - email supervisor to discuss availability.
I am a professor of pure mathematics. I did my PhD at the University of Chicago and worked at universities in the US and Canada before joining the University of Adelaide in 2006. I do research in complex analysis and complex geometry and related areas of mathematics. I teach courses at all levels and supervise postgraduate students.
- My Research
- Grants and Funding
- Professional Activities
My main research area is holomorphic geometry. My research has involved several other fields of mathematics, in recent years including, for example, dynamics, contact geometry, geometric invariant theory, and the theory of minimal surfaces. I have active collaborations with mathematicians in several countries.
Since 2009, I have co-organised nine face-to-face conferences, conference sessions, and workshops in Europe, Canada, and Australia, and two international virtual conferences. In August to November 2016, I was a research fellow at the Centre for Advanced Study at the Norwegian Academy of Science and Letters in Oslo. I regularly give invited talks at international conferences.
I was the sole chief investigator of a Discovery Grant entitled "Flexibility and symmetry in complex geometry" from the Australian Research Council in 2012-2014, and of a Discovery Grant entitled "Homotopical structures in algebraic, analytic, and equivariant geometry" in 2015-2017.
I teach courses at all levels, from large first-year courses to courses at the honours and master level. I take an interest in pedagogy and teaching innovations. I was the founder and convenor in 2014-2017 of the Learning and Teaching Working Group in the School of Mathematical Sciences. I was the Director of Teaching of the School in 2013-2016, the Director of Teaching Development in 2017-2019, and the Director (Learning and Teaching) through 2020 until I took on the role of Interim Head of School in February 2021. From mid-2018 to mid-2019, I was the Director (Learning Quality) in the Faculty of Engineering, Computer and Mathematical Sciences. I take a hands-on interest in school education. I was an active member of Mathematicians in Schools from 2010 to 2017, and participated in the ChooseMaths national mentoring program for high-school girls in 2017-2018.
Current Higher Degree by Research Supervision (University of Adelaide)
Date Role Research Topic Program Degree Type Student Load Student Name 2021 Principal Supervisor Holomorphic Dynamics in the Complex Plane and the Punctured Complex Plane Master of Philosophy Master Full Time Mr Wills Ton Minh Nguyen 2020 Principal Supervisor The Oka principle in twisted K-theory Doctor of Philosophy Doctorate Full Time Miss Haripriya Sridharan 2019 Principal Supervisor Algebraic Oka Theory for Curves Master of Philosophy Master Full Time Mr Ryan James Dye 2019 Principal Supervisor Equivariant Oka theory for Riemann surfaces Master of Philosophy Master Full Time Mr Alexander Joseph Fausto Lai De Oliveira 2019 Principal Supervisor Highly Symmetric Homogeneous Kobayashi-Hyberbolic Manifolds Doctor of Philosophy Doctorate Full Time Mr Elliot Herrington
Past Higher Degree by Research Supervision (University of Adelaide)
Date Role Research Topic Program Degree Type Student Load Student Name 2017 - 2020 Principal Supervisor Spaces of Holomorphic Immersions of Open Riemann Surfaces into the Complex Plane Master of Philosophy Master Part Time Miss Haripriya Sridharan 2017 - 2019 Principal Supervisor The Parametric Oka Principle for Riemann Surfaces Master of Philosophy Master Full Time Mr Matthew James Ryan 2017 - 2019 Principal Supervisor Holomorphic Immersions of Restricted Growth from Smooth Affine Algebraic Curves into the Complex Plane Master of Philosophy Master Full Time Mr Daniel Cody John 2014 - 2016 Principal Supervisor Deformation Retractions from Spaces of Continuous Maps onto Spaces of Holomorphic Maps Master of Philosophy Master Full Time Mr Brett Simon Chenoweth 2013 - 2016 Principal Supervisor Holomorphic Flexibility Properties of Spaces of Elliptic Functions Doctor of Philosophy Doctorate Full Time Mr David James Bowman 2012 - 2014 Principal Supervisor Oka Theory of Riemann Surfaces Master of Philosophy Master Full Time William Crawford 2010 - 2013 Principal Supervisor Holomorphic Flexibility Properties of Complements and Mapping Spaces Doctor of Philosophy Doctorate Full Time Mr Alexander Hanysz 2008 - 2011 Principal Supervisor Acyclic Embeddings of Open Riemann Surfaces into Elliptic Manifolds Doctor of Philosophy Doctorate Full Time Mr Tyson Ritter
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