Rod Gover - Supervision

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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.

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

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 Sˇilhan (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.

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).