University of Auckland
Department of Mathematics

Staff Research Interests

Here are the research interests of members of the department, ordered by the 2000 Mathematics Subject Classification

05: Combinatorics
Prof Marston Conder Professor Combinatorial group theory, discrete computation, symmetries of discrete objects (such as graphs, maps, polytopes, Riemann surfaces and hyperbolic 3-manifolds)
A/Prof Arkadii Slinko Professor Applied algebra and combinatorics with applications to game theory, mathematical politics and social choice
06: Order, lattices, ordered algebraic structures
A/Prof Arkadii Slinko Professor Applied algebra and combinatorics with applications to game theory, mathematical politics and social choice
11: Number theory
Prof Steven Galbraith Professor Public key cryptography, computational number theory, computational algebraic geometry
14: Algebraic geometry
Prof Steven Galbraith Professor Public key cryptography, computational number theory, computational algebraic geometry
15: Linear and multilinear algebra; matrix theory
A/Prof Arkadii Slinko Professor Applied algebra and combinatorics with applications to game theory, mathematical politics and social choice
17: Nonassociative rings and algebras
A/Prof Arkadii Slinko Professor Applied algebra and combinatorics with applications to game theory, mathematical politics and social choice
20: Group theory and generalizations
A/Prof Jianbei An Associate Professor Modular representation theory of finite groups
Prof Marston Conder Professor Combinatorial group theory, discrete computation, symmetries of discrete objects (such as graphs, maps, polytopes, Riemann surfaces and hyperbolic 3-manifolds)
Prof Eamonn O'Brien Professor Group theory, computational algebra.
22: Topological groups, Lie groups
Prof Tom ter Elst Professor Harmonic analysis, operator theory, geometric analysis, subelliptic and degenerate operators, PDE.
32: Several complex variables and analytic spaces
Prof A. Rod Gover Professor Differential geometry and its relationship to representation theory. Applications to analysis on manifolds, PDE theory and Mathematical Physics. Conformal, CR and related structures.
Dr Sione Ma`u Lecturer Pluripotential theory and its applications
35: Partial differential equations
Prof A. Rod Gover Professor Differential geometry and its relationship to representation theory. Applications to analysis on manifolds, PDE theory and Mathematical Physics. Conformal, CR and related structures.
Dr Steve Taylor Senior Lecturer Partial differential equations, control theory for PDEs, quantum chemistry, industrial mathematics
Prof Tom ter Elst Professor Harmonic analysis, operator theory, geometric analysis, subelliptic and degenerate operators, PDE.
Dr Shixiao Wang Lecturer Functional Analysis, Nonlinear PDEs, Hydrodynamic Stability and Vortex Dynamics.
37: Dynamical systems and ergodic theory
A/Prof Vivien Kirk Associate Professor Dynamical systems, particularly nonlinear ODEs; theory of local and global bifurcations; symmetry and bifurcations; models of intracellular calcium dynamics.
Dr Claire Postlethwaite Senior Lecturer Applied dynamical systems, mathematical models of animal behaviour
41: Approximations and expansions
Dr Shayne Waldron Senior Lecturer Approximation Theory, polynomial interpolation, numerical methods.
43: Abstract harmonic analysis
Prof Tom ter Elst Professor Harmonic analysis, operator theory, geometric analysis, subelliptic and degenerate operators, PDE.
46: Functional analysis
Prof A. Rod Gover Professor Differential geometry and its relationship to representation theory. Applications to analysis on manifolds, PDE theory and Mathematical Physics. Conformal, CR and related structures.
A/Prof Warren Moors Associate Professor Functional Analysis
Prof Tom ter Elst Professor Harmonic analysis, operator theory, geometric analysis, subelliptic and degenerate operators, PDE.
Dr Shixiao Wang Lecturer Functional Analysis, Nonlinear PDEs, Hydrodynamic Stability and Vortex Dynamics.
47: Operator theory
Prof A. Rod Gover Professor Differential geometry and its relationship to representation theory. Applications to analysis on manifolds, PDE theory and Mathematical Physics. Conformal, CR and related structures.
Prof Tom ter Elst Professor Harmonic analysis, operator theory, geometric analysis, subelliptic and degenerate operators, PDE.
51: Geometry
A/Prof Arkadii Slinko Professor Applied algebra and combinatorics with applications to game theory, mathematical politics and social choice
53: Differential geometry
Prof A. Rod Gover Professor Differential geometry and its relationship to representation theory. Applications to analysis on manifolds, PDE theory and Mathematical Physics. Conformal, CR and related structures.
54: General topology
Prof David Gauld Professor Set-Theoretic topology, especially applications to topological manifolds. Volterra spaces.
Dr Sina Greenwood Senior Lecturer My primary area of research is topology. Most of my current research is on discrete dynamical systems.
57: Manifolds and cell complexes
Prof Marston Conder Professor Combinatorial group theory, discrete computation, symmetries of discrete objects (such as graphs, maps, polytopes, Riemann surfaces and hyperbolic 3-manifolds)
Prof David Gauld Professor Set-Theoretic topology, especially applications to topological manifolds. Volterra spaces.
58: Global analysis, analysis on manifolds
Prof A. Rod Gover Professor Differential geometry and its relationship to representation theory. Applications to analysis on manifolds, PDE theory and Mathematical Physics. Conformal, CR and related structures.
Prof Tom ter Elst Professor Harmonic analysis, operator theory, geometric analysis, subelliptic and degenerate operators, PDE.
60: Probability theory and stochastic processes
A/Prof Arkadii Slinko Professor Applied algebra and combinatorics with applications to game theory, mathematical politics and social choice
65: Numerical analysis
Dr Philip Sharp Senior Lecturer Astronomical simulations, developing and testing numerical methods for initial value ordinary differential equations .
Dr Shayne Waldron Senior Lecturer Approximation Theory, polynomial interpolation, numerical methods.
68: Computer science
A/Prof Arkadii Slinko Professor Applied algebra and combinatorics with applications to game theory, mathematical politics and social choice
74: Mechanics of deformable solids
Dr Steve Taylor Senior Lecturer Partial differential equations, control theory for PDEs, quantum chemistry, industrial mathematics
76: Fluid mechanics
Dr Shixiao Wang Lecturer Functional Analysis, Nonlinear PDEs, Hydrodynamic Stability and Vortex Dynamics.
81: Quantum theory
Dr Steve Taylor Senior Lecturer Partial differential equations, control theory for PDEs, quantum chemistry, industrial mathematics
91: Game theory, economics, social and behavioral sciences
A/Prof Arkadii Slinko Professor Applied algebra and combinatorics with applications to game theory, mathematical politics and social choice
92: Biology and other natural sciences
Dr Claire Postlethwaite Senior Lecturer Applied dynamical systems, mathematical models of animal behaviour
93: Systems theory; control
Dr Steve Taylor Senior Lecturer Partial differential equations, control theory for PDEs, quantum chemistry, industrial mathematics
94: Information and communication, circuits
Prof Steven Galbraith Professor Public key cryptography, computational number theory, computational algebraic geometry
97: Mathematics education
Prof Bill Barton Professor University mathematics education, language and mathematics, ethnomathematics, teacher development.
A/Prof Arkadii Slinko Professor Applied algebra and combinatorics with applications to game theory, mathematical politics and social choice

The department has an extensive series of seminars, including

The department publishes a report series and some staff maintain personal preprint archives.