Doctoral study in Mathematics

Why study with us?

New Zealand’s leading and largest Faculty of Science* brings together 10 diverse schools and departments to provide outstanding quality teaching and research opportunities. Our doctoral students work with some of the nation’s leading researchers and benefit from the faculty’s connections with international universities and industry. You will also have access to high-quality laboratory and field research facilities.


Research opportunities

We welcome PhD proposals in areas including:

  • Algebra and combinatorics
  • Applied mathematics Analysis, geometry and topology
  • Mathematics educationNovel mathematical, computational and statistical methods to improve understanding of biological problems
  • Dynamical systems theory and applications to control biological systems
  • Approximation theory
  • Polynomial interpolation
  • Numerical methods
  • Nonlinear functional analysis and PDEs
  • Operator theory
  • Hydrodynamic stability
  • Fluid dynamics and industrial mathematics
  • Emergence of chaotic dynamics
  • Delay effects in climate models and control theory
  • Slow-fast dynamics and isochrones
  • Dynamics of aircraft as ground vehicles
  • Harmonic analysis
  • Operator theory
  • Geometric analysis
  • Subelliptic and degenerate operators
  • Partial differential equations
  • Control theory for PDEs
  • Quantum chemistry
  • Industrial mathematics
  • Coupled pulsating lasers

Our people

Many of our knowledgeable scientists are major contributors in their field.

(and choose relevant departments)

Research topics

See a selection of past and present research topics:

Applied Mathematics

Pure Mathematics

  • Determining the symmetric genus of particular classes of groups | supervised by Marston Conder
  • Computational problems in lattices and applications to cryptanalysis | supervised by Steven Galbraith
  • The geometry of partial differential equations | supervised by Rod Gover
  • Generalised inverse limits investigating open questions on inverse limits with upper semi-continuous bonding functions | supervised by Sina Greenwood
  • Weighted pluripotential theory and complex analytic geometry | supervised by Sione Ma’U
  • Algorithms to decide isomorphism among groups | supervised by Professor Eamonn O’Brien
  • Parameterized complexity in game theory and social choice | supervised by Arkadii Slinko
  • (analytic) semigroup theory, elliptic operators with applications to PDE | supervised by Tom ter Elst

Mathematics Education

  • Exploring new modes of teaching and learning in a university environment | supervised by Tanya Evans
  • Non-routine problem solving to improve graduate attributes such as creativity and innovative thinking | supervised by Tanya Evans
  • Design-based research to develop new teaching and learning approaches/resources | supervised by Tanya Evans
  • Olympiads and gifted students | supervised by Igor Kontorovich
  • Public-generated mathematical content | supervised by Igor Kontorovich
  • Undergraduate mathematics learning | supervised by Caroline Yoon

For more information about PhD theses and topics you may be interested in, or supervisors and their past research, please use the search function on the Libraries and Learning Services catalogue.

Scholarships and awards

See our University of Auckland Doctoral Scholarship page for scholarship opportunities. Or search our database for scholarships that may be available.

Help and advice

Please see our Doctoral students section for further information, advice and contact information.

Apply for doctoral study