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 Research 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
    Continua theory 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
    Finite tight frames with symmetries, approximation theory, polynomial interpolation and numerical methods

Current and recent post-doctoral researchers

 

Seminars and recent events

  • Analysis Seminar
  • Geometry and Analysis Seminar
  • Topology

 

Current and recent visitors

  • Marcus Appleby (Queen Mary, University of London)
  • Wolfgang Arendt (Ulm)
  • Jussi Behrndt (TU Giraz)
  • Andreas Cap (University of Vienna)
  • David Cox (Amherst College)
  • Steve Flammia (University of Sydney)
  • Paul Gartside(University of Pittsburgh)
  • Markus Haase (Delft)
  • Emanuele Latini (University of Zurich)
  • Mariusz Lemanczyk (Torum, Poland)
  • Vladimir Matveev (University of Jena)
  • Primoz Moravec (University of Ljubljana)
  • Vladimir Muller (Prague)
  • Jean-Philippe Nicolas (University of Brest)
  • Daniel Plaumann (University of Konstanz)
  • Manfred Sauter (Ulm)
  • Gerd Schmalz (University of New England)
  • Friedrich Martin Schneider (Dresden)
  • Endre Suli (Oxford)
  • Marcus Tressl (University of Manchester)
  • Richard Vale (University of Canterbury)
  • Andrew Waldron (UC Davis)
  • Lutz Weis (Karlsruhe)
  • Travis Willse (ANU)
  • Wei-Hsuan Yu (Michigan State)
  • Valentin Zagrebnov (Marseille)

Current and recent postgraduate students

  • Abhishek Bhardwaj (Hons): Positive Polynomials and Sums of Hermitian Squares
  • Sean Curry (PhD): Overdetermined natural PDE, parabolic geometry, and applications
  • Tuan Chien (PhD): On the existence of d2 equiangular lines in complex vector spaces
  • Sunanda Dixit (PhD): Structures on non-metrizable manifolds
  • Bartek Ewertowski (PhD)
  • Tan Do (PhD): Degenerate elliptic operators
  • James Fletcher (Masters): Chebychev Sets
  • Keegan Flood (PhD): Cartan Geometry, Manifold Decompositions, and Geometric PDE 
  • Alex Galicki (Hons): B rown's Approximation Theorm
  • Hwan Goh (Hons): Knot Theory
  • Gareth Gordon (Phd): The Dirichlet-to-Neumann operator with partial data
  • Charles Hadfield (Hons): The construction of conserved quantities in geometry and GR
  • Paul Harris (Masters): Topological Games
  • Jesse Hart (PhD): Pluripotential Theory In C^n
  • Ben Lawrence (Masters): Symmetric semialgebraic sets and orbit spaces
  • Benny Lawrence (PhD) 
  • Michael Lockyer (PhD): Generalised inverse limits
  • Yuki Maehara (Hons): Categories of generalised inverse systems
  • Afshin Mardani (PhD): Set-theoretic Topology, Topology of manifolds
  • Joshua Marshall (Hons): On generalised inverse limits and questions of dimention
  • Caleb Moses (Hons): Potential Theory on Algebraic Curves in C2
  • Roberto Panai (PhD): The conformal geometry of submanifolds and natural PDE
  • Sam Porath (PhD): Conformal Geometry and its Application to General Relativity and Fundamental Physics
  • Nazli Uresin (PhD): Abstract Dynamical Systems
  • Jurij Volcic (PhD):
  • Simon Youl (PhD): Generalised inverse limits