# Rod Gover - Supervision

### From MathsDept

**Research | Publications | Supervision | Teaching **

**Graduate Supervision:**

My current PhD students are Roberto Panai, Sam Porath and Yuri Vyatkin. They are undertaking research in differential geometry.

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##### Projects offered

**Bachelor of Science(Honours) and Bachelor of Arts(Honours) dissertations**

- The geometry of surfaces, including special surfaces: e.g. minimal, Willmore
- Connections and their applications to PDE theory
- Lie representation theory and applications to invariant operators

**Master theses**

- Riemannian geometry, special submanifolds, minimal, Wilmore and their generalisations
- Conformal Geometry, invariants, invariant operators and applications
- Projective differential geometry, invariant operators and applications

**PhD theses**

- The Geometry of partial differential equations
- The Geometry associated with PDE solutions
- Applications of conformal and projective geometry in general relativity
- CR Geometry, invariant operators and applications
- Geometric aspects of higher dimensional complex analysis
- Submanifolds in parabolic geometries, invariants invariant operators and applications
- Geometric compactifications and the linking of submanifold to ambient manifold structure
- Poincare-Einstein and related structures|| ||
- Conformal and projective ideas in almost complex and Kaehler geometry

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##### Past students

2010

- Howard Cohl, PhD

2009

- Heather Macbeth Honours Dissertation (Class I)
- Matthew Randall MSc (by thesis, Class 1)
- Niels Bernhardt PhD 2009 (co-supervised with P.-A. Nagy)

2008

- Callum Sleigh MSc (by thesis, Class I)

2006

- Josef SĖilhan (an NZIMA Scholar) Invariant Operators in Conformal Geometry (pdf)
- Robert Stafford MSc (by thesis, Class I) Tractor Calculus and Invariants for Conformal Sub-Manifolds (pdf)

2005

- Kok Theng Chan MSc (by thesis, Class II,1).

2004

- David Grant MSc (by thesis), Class I. A Conformally Invariant Third Order Neumann-Type Operator for Hypersurfaces (pdf)

2001

- Sanya Timarac MSc (by thesis), Class II,1 2001.

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##### Visiting and Summer students

- 2007 Summer student Matthew Randall
- 2006 Summer student Callum Sleigh.
- In 2002 I hosted and assisted in the research supervision of two PhD students from the University of Iowa: Doojin Hong and William Ugalde.
- In 2001 I hosted a Summer Scholar from Denmark (Helge Joergensen).
- Since 2001 I have supervised three other University of Auckland Summer Scholars (Richard Vale, Malcolm Walsh, and Geon Oh).