- Exact solutions of lattice models
- Statistical Mechanics
- Enumerative combinatorics
- Mathematical Physics
- Integrable systems
- Lattice polymer models
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Professor Aleks Owczarek is a Redmond Barry Distinguished Professor in the School of Mathematics and Statistics.
Aleks undertook the role of Dean, Faculty of Science (August 2018 - December 2020), after eighteen months as Deputy Dean (February 2017 - August 2018).
Aleks was Head of the School of Mathematics and Statistics for six years (2011-2016) and Associate Dean (Graduate programs), also known as Director of the Graduate School of Science, for more than seven years (November 2009 - January 2016). Aleks is a Fellow of the Australian Mathematical Society.
Aleks's area of expertise is mathematical statistical mechanics, which lies within the discipline of mathematical physics. In particular, he works in the area of phase transitions and critical phenomena of model polymer systems, using lattice walk models. Aleks's work endeavours to uncover the universal geometric and topological features of long chain molecules such as DNA in a variety of generic conditions. The models he studies arise naturally in discrete mathematics/combinatorics and in stochastic processes as well as in theoretical physics. He currently has two major projects. The first is on integrable lattice polymer models at the interface of algebra, analysis and combinatorics. The second is on next generation simulation of polymer networks with complex topologies.
Past Postgraduate Supervision
||"Numerical studies of Self-avoiding walks"
||"Statistical Mechanics of twist-storing polymers"
||"The combinatorics and graph theory of stochastic interface and lattice path problems"
||"The enumeration of heaps and almost-convex polygons"
||"Compact directed percolation near a damp wall"
||"Critical behaviour of geometric cluster models"
||"Combinatorics of pavings and paths"
||"Some problems in the counting of lattice animals, polyominoes, polygons and walks"
||"Generalised directed walker models of adsorption and gelation"
|Henry (Ling Heng) WONG
||"Topics on Lattice Models in Statistical Mechanics"
||"Interacting Quarter-Plane Lattice Walk Problems: Solutions and Proofs"
Past Honours & MSc Students
||"Directed walkers on the square and triangular planar lattices"
||"An investigation of Directed Percolation"
||"A generalised model of a semi-flexible polymer at an adsorbing wall"
Recent Grant History
|2016 - 2018
||Interplay of Topology and Geometry in Polymeric Critical Phenomena
|2012 - 2014
||Advanced numerical and analytical techniques for exact studies in combinatorics and statistical mechanics
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