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 built 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
If you have any questions, please don't hesitate to contact Lee.
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 Masters 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 cosupervisor 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 are 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. Fulltime students doing Honours or the Masters 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 used 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.
Some recent projects can be found on this document, but please see the sections below for more recent project offerings.

 Harmonic analysis
 Lie groups
 Functional analysis
 Operator theory
 Banach space geometry
 C*algebras
 von Neumann algebras
 Noncommutative geometry
 Noncommutative analysis
 Harmonic analysis
 Noncommutative harmonic analysis
 Noncommutative probability and stochastic analysis
 Noncommutative ergodic theory
 Noncommutative functional analysis
 Noncommutative geometry
 Banach space geometry
 Harmonic analysis
 Hypergroups
 Harmonic analysis

 Number theory
 Discrete mathematics and combinatorics
Haris Aziz (School of Computer Science and Engineering)
 Combinatorics and discrete mathematics
 Applications of combinatorics to fair division and voting theory
 Combinatorial optimization
 Discrete mathematics and combinatorics
 Graph theory
 Operator Algebra
 Group theory
 Number theory
 Noncommutative algebra
 Algebraic geometry
 Commutative algebra
 Homological algebra
 Combinatorial designs
 Graph theory and graph labellings
 Lie algebras and quantum groups
 Representation theory
 Combinatorics of Lie groups
 Graph theory
 Random combinatorial objects (e.g. random graphs)
 Combinatorial algorithms (e.g. Markov chain algorithms)
 Fusion categories
 Planar algebras
 Number theory
 Computational number theory
 Ramsey theory
 Graph theory
 Number theory
 Algebraic dynamical systems
 Number theory
 Cryptography
 Theoretical computer science
 Quantum computation
 Ktheory
 Algebraic Geometry
 Algebraic Topology
 Homological Algebra
 Geometry, including hyperbolic and elliptic geometry
 Lie groups and representation theory
 Number theory
 Analytic number theory
 Number theory

 History of mathematics
 Extreme risks
 Philosophy of mathematics
 Mathematical Physics
 General relativity
 History of mathematics

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
 Dynamical systems and ergodic theory