Honours in Pure Mathematics

If you are keen on Mathematics and have achieved good results in years 1 to 3, you may consider embarking on an honours year. If you are an Advanced Mathematics or Advanced Science student then Honours is build into your program. For all other students, if you are keen on Mathematics and have achieved good results in years 1 to 3, you should consider embarking on an honours year.

Below you can find some specific information about Pure Mathematics Honours.

For other information about doing Honours in Pure Mathematics, see the Honours Page and the list of available Honours courses.  Note that MATH5605 Functional Analysis and MATH5735 Modules and Representation Theory are core subjects which should be taken by all Pure Honours students.

Honours Coordinator - Pure

Dr Pinhas Grossman
Email: p.grossman@unsw.edu.au
Phone: 9385 7105
Office: Room 5105, Red Centre 

If you have any questions, please don't hesitate to contact Pinhas.

Pure Mathematics Project Areas

Every Pure Mathematics Honours and postgraduate student is required to complete a project under the supervision of a member of staff. For PhD students this is almost always a member of the Pure Mathematics Department, but for Honours and MScTech students it is possible to arrange for supervision by a suitable academic in Applied Mathematics or Statistics. For some projects it may even be appropriate to involve an academic from elsewhere in the University (although in this case we will require a co-supervisor from mathematics). Students wishing to pursue a more multidisciplinary project should discuss their options with the Honours Coordinator or postgraduate advisor as early as possible.

Listed below academics who are willing to supervise Pure Mathematics Honours students, together with their areas of interest. We recommend that you speak to a number of people before making your choice of supervisor. Full-time students doing Honours or the MScTech degree should have decided on a project before the start of their final year.

At times staff members may be on leave for a significant period and so will be unlikely to be taking on Honours students.

The topics listed on this page should only be taken as a guide to help you start finding a supervisor. It should be noted that most staff members are likely to be more restrictive in the areas in which they are willing to supervise a PhD student than those in which they might supervise an Honours or Masters student.

Analysis

Michael Cowling

  • Harmonic analysis
  • Lie groups
  • Functional analysis

Ian Doust

  • Operator theory
  • Banach space geometry

Pinhas Grossman

  • C*-algebras
  • von Neumann algebras

Denis Potapov 

  • Noncommutative geometry
  • Noncommutative analysis
  • Harmonic analysis 

Fedor Sukochev

  • Noncommutative functional analysis
  • Noncommutative geometry
  • Banach space geometry

Norman Wildberger

  • Harmonic analysis
  • Hypergroups

Algebra, Combinatorics, Geometry and Number Theory

David Angell

  • Number theory
  • Discrete mathematics and combinatorics

Thomas Britz

  • Discrete mathematics and combinatorics
  • Graph theory

Peter Brown

  • Number theory

Daniel Chan

  • Noncommutative algebra
  • Algebraic geometry
  • Commutative algebra
  • Homological algebra

Diana Combe

  • Combinatorial designs
  • Graph theory and graph labellings

Jie Du

  • Lie algebras and quantum groups
  • Representation theory
  • Combinatorics of Lie groups

Catherine Greenhill

  • Graph theory
  • Random combinatorial objects (e.g. random graphs)
  • Combinatorial algorithms (e.g. Markov chain algorithms)

Pinhas Grossman

  • Fusion categories
  • Planar algebras

David Harvey

  • Number theory
  • Computational number theory

Alina Ostafe

  • Number theory
  • Algebraic dynamical systems

Igor Shparlinski

  • Number theory
  • Cryptography
  • Theoretical computer science
  • Quantum computation

Mircea Voineagu

  • K-theory
  • Algebraic Geometry
  • Algebraic Topology
  • Homological Algebra

Norman Wildberger

  • Geometry, including hyperbolic and elliptic geometry
  • Lie groups and representation theory

Lee Zhao

  • Number theory
  • Analytic number theory

Mathematical Physics and Miscellaneous

Peter Brown

  • History of mathematics

Jim Franklin

  • Extreme risks
  • Philosophy of mathematics

Jonathan Kress

  • Mathematical Physics

John Steele

  • General relativity

Supervisors from related areas

Possible supervisors include:

Gary Froyland (Applied)

  • Dynamical Systems and Ergodic Theory
  • Optimisation

Bruce Henry (Applied)

  • Multifractal analysis

John Roberts (Applied)

  • Dynamical systems
  • Algebraic dynamics

Chris Tisdell (Applied)

  • Differential equations
  • Difference equations