From MathsDept
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
Staff
 David Gauld: SetTheoretic 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 Nonmetrisable Manifolds
 Sam Porath (PhD)
 Manfred Sauter (PhD): Degenerate Elliptic Operators with Boundary Conditions
 Nazli Uresin (PhD): Abstract dynamical systems.
 Yuri Vyatkin (PhD): BernsteinGelfandGelfand complexes
 Douglas Wilson (PhD): Degenerate Operators
Some recent alumni
 Heather Macbeth (Honours, 2009)
 TuanYow 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

