Analysis, Geometry and Topology Group

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Overview - Research - Undergraduates - Graduates - Seminar series

Most questions in analysis, geometry and topology were originally based upon problems that arose from the world around us. However, this is not the primary interest. The main aim is to deduce deep connections between known concepts, thus increasing our understanding of “continuous mathematics”. Many of the deepest result in Mathematics come from analysis.


The Analysis, Geometry and Topology group at the University of Auckland


  • David Gauld: Set-Theoretic topology, especially applications to topological manifolds. Volterra spaces
  • Rod Gover: Differential geometry and its relationship to representation theory. Applications to analysis on manifolds, PDE theory and Mathematical Physics. Conformal, CR and related structures
  • Sina Greenwood: Set theoretic topology and in particular nonmetrisable manifolds and discrete dynamical systems. Brunnian links.
  • Warren Moors: Functional Analysis. Applications of topology to analysis
  • Tom ter Elst: Harmonic analysis, operator theory, geometric analysis, subelliptic and degenerate operators, PDE
  • Shayne Waldron: Approximation Theory, polynomial interpolation, numerical methods

Research Fellow

  • Paul Andi Nagy: Differential geometry, special structures in mathematical physics, analysis on manifolds

Graduate Students

  • Howard Cohl (PhD): Symmetries of Inverse Partial Differential Operators
  • Sunanda Dixit (PhD): Differential Structures on the long plane
  • Afshin Mardani (PhD): Dynamics on Non-metrisable Manifolds
  • Sam Porath (PhD)
  • Manfred Sauter (PhD): Degenerate Elliptic Operators with Boundary Conditions
  • Nazli Uresin (PhD): Abstract dynamical systems.
  • Yuri Vyatkin (PhD): Bernstein-Gelfand-Gelfand complexes
  • Douglas Wilson (PhD): Degenerate Operators

Some recent alumni

  • Heather Macbeth (Honours, 2009)
  • Tuan-Yow Chien (MSc, 2010): The construction of finite tight frames
  • Matthew Randall (MSc, 2009): Submanifolds and natural projectively invariant PDEs
  • Niels Bernhardt (PhD, 2009): Some classes of spinorial connections and their holonomy
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