University home » Faculty of Science
» Department of Mathematics » Our research » Research Groups » Analysis, Geometry and Topology Research Group
Department of Mathematics
Analysis, Geometry and Topology Research Group
The Analysis, Geometry and Topology Group has strengths in differential geometry, functional analysis, harmonic analysis and topology.
Permanent staff
-
David Gauld
Set-theoretic topology, especially applications to topological manifolds and volterra spaces -
Rod Gover
Differential geometry and its relationship to representation theory. Applications to analysis on manifolds, Partial Differential Equation theory and mathematical physics Conformal and related structures -
Sina Greenwood
Set-theoretic topology and in particular non-metrisable manifolds and discrete dynamical systems -
Igor Klep
Real algebraic geometry -
Sione Ma'u
Pluripotential theory and its applications, functions of several complex variables -
Warren Moors
Functional analysis and applications of topology to analysis -
Tom ter Elst
Harmonic analysis, operator theory, geometric analysis, subelliptic and degenerate operators, Partial Differential Equations -
Shayne Waldron
Approximation theory, polynomial interpolation and numerical methods
Current and recent visitors
- Ken Dykema (Texas A & M)
- Andreas Cap (Vienna)
- Heather Macbeth (Princeton)
- Kengo Hirachi (Tokyo)
- Paul-Andi Nagy (Universidad de Murcia)
- Vladimir Matveev (Jena)
- Jeffrey Case (Princeton)
- Helmut Freidrich (Max-Planck-Institut fur Gravitationsphysik)
- Richard Melrose (MIT)
- Dennis The (ANU)
- Andrew Waldron (UC Davis)
- Jonathan Kress (UNSW)
- Konrad Schöbel (Jena)
- Micahel Eastwood (ANU)
- Katharina Neusser (ANU)
Current and recent post-doctoral researchers
- Callum Sleigh
Seminars and recent events
Current and recent postgraduate student
PhD students
- Sean Curry: Overdetermined natural PDE, parabolic geometry, and applications
- Tuan Chien: On the existence of d2 equiangular lines in complex vector spaces
- Sunanda Dixit: Structures on non-metrizable manifolds
- Tan Do: Degenerate elliptic operators
- Gulshad Gulshad: Runge-Kutta methods
- Jesse Hart: Pluripotential Theory In C^n
- Michael Lockyer: Generalised inverse limits
- Afshin Mardani: Set-theoretic Topology, Topology of manifolds
- Roberto Panai: The conformal geometry of submanifolds and natural PDE
- Sam Porath: Conformal Geometry and its Application to General Relativity and Fundamental Physics
- Manfred Sauter: Degenerate elliptic operators with boundary conditions
- Nazli Uresin: Abstract Dynamical Systems
- Yuri Vyatkin: Bernstein-Gelfand-Gelfand complexes
MSc students
- Sean Curry: Conformal geometry in GR (completed 2012)
- James Fletcher: Chebychev Sets
- Jess Hart: Complex analysis (completed 2012)
- Benny Lawrence: Real algebraic geometry
- Simon Youl: A Subsequence Theorem for Generalised Inverse Limits
BSc(Hons) students
- Alex Galicki: Brown's Approximation Theorem
- Hwan Goh: Knot theory
- Charles Hadfield: The construction of conserved quantities in geometry and GR
- Joshua Marshall: On Generalised Inverse Limits and Questions of Dimension (completed 2012)
-
Programmes, Centres and Partners
- Community for Understanding and Learning in the Mathematical Sciences (CULMS)
- Centre for Mathematical Social Science (CMSS)
- Department of Computer Science
- Department of Engineering Science
- Department of Physics
- Department of Statistics
- Auckland Bioengineering Institute
- New Zealand Journal of Mathematics
Connect with us
