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. Pure mathematics Honours students will take five 6uoc lecture courses (typically MATH5xxx courses), which normally include both MATH5605 Functional Analysis and MATH5735 Modules and Representation Theory. Students should discuss their subject choices with their supervisor.
Honours Coordinator - Pure
If you have any questions, please don't hesitate to contact Dmitriy.
Honours Co-ordinator - Pure Maths
Dr Dmitriy Zanin
E: d.zanin@unsw.edu.au
Office: H13 Lawrence East 6104
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 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 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. Full-time 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.
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- Geometric analysis
- 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
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- 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
- Differential geometry
- Noncommutative algebra
- Algebraic geometry
- Commutative algebra
- Homological algebra
- Lie algebras and quantum groups
- Representation theory
- Combinatorics of Lie groups
- Discrete mathematics and combinatorics
- Number theory and algebra
- Group theory and semigroup theory
- 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
- Algebraic geometry
- Differential geometry
- K-theory
- Algebraic Geometry
- Algebraic Topology
- Homological Algebra
- Number theory
- Analytic number theory
- Number theory
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- Mathematical Physics
- History of mathematics
- General relativity
- Mathematical Physics
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Possible supervisors include:
Mareike Dressler (Applied)
- Real and Computational Algebraic Geometry (e.g., Nonnegativity of Polynomials)
- Polynomial Optimisation
- Convex Geometry
- Matrix and Tensor Computation (e.g., Matrix Completion Problems)
Gary Froyland (Applied)
- Dynamical systems and ergodic theory
- Optimisation
John Roberts (Applied)
- Dynamical systems
- Algebraic dynamics
Chris Tisdell (Applied)
- Differential equations
- Difference equations