Professor ALEKS OWCZAREK
Position:
Professor
Email:
Room:
192
Ext. Number:
46545
Research Groups:
Interests:
- Integrable systems
- Mathematical Physics
- Enumerative combinatorics
- Statistical Mechanics
Recent Publications:
- Self-attracting polymers in two dimensions with three low-temperature phases (2017) more
- An exact solution of three interacting friendly walks in the bulk (2016) more
- Winding angle distributions for two-dimensional collapsing polymers (2016) more
- The role of three-body interactions in two-dimensional polymer collapse (2016) more
- A semi-flexible attracting-segment model of three-dimensional polymer collapse (2015) more
Extra Information:
I hold the position of Professor in Mathematics and Statistics of the University. I conduct research in the area of phase transitions and critical phenomena in statistical mechanics especially pertaining to model polymer systems, which lies within the discipline of mathematical physics. This 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 I study arise naturally in "Discrete Mathematics and Combinatorics" and in "Stochastic Processes". I am part of a 'Mathematical Physics and Statistical Mechanics Group' working on these topics.
I have several projects in the general area of the statistical mechanics of lattice polymer and vesicle models where there is scope for Master of Science and PhD projects, and some where post-doctoral collaboration would be fruitful. Please contact me if you are interested. The two main topics of interest are (1) numerical analysis, both Monte Carlo computer simulation and also exact enumeration techniques, of lattice walks, and (2) the exact solution of interacting directed walk systems.
I have several projects in the general area of the statistical mechanics of lattice polymer and vesicle models where there is scope for Master of Science and PhD projects, and some where post-doctoral collaboration would be fruitful. Please contact me if you are interested. The two main topics of interest are (1) numerical analysis, both Monte Carlo computer simulation and also exact enumeration techniques, of lattice walks, and (2) the exact solution of interacting directed walk systems.
Current Postgraduate Supervision:
Past Postgraduate Supervision:
Debra N. BENNETT-WOOD | "Numerical studies of Self-avoiding walks" |
Eduardo DAGROSA | "Statistical Mechanics of twist-storing polymers" |
Paul FIJN | "The combinatorics and graph theory of stochastic interface and lattice path problems" |
Will JAMES | "The enumeration of heaps and almost-convex polygons" |
Heather LONSDALE | "Compact directed percolation near a damp wall" |
Paul NIDRAS | "Critical behaviour of geometric cluster models" |
Judy-anne OSBORN | "Combinatorics of pavings and paths" |
Andrew RECHNITZER | "Some problems in the counting of lattice animals, polyominoes, polygons and walks" |
Rami TABBARA | "Generalised directed walker models of adsorption and gelation" |
Henry (Ling Heng) WONG | "Topics on Lattice Models in Statistical Mechanics" |
Past MSc Students:
Andrew RECHNITZER | "An investigation of Directed Percolation" |
Andrew OPPENHEIM | "Directed walkers on the square and triangular planar lattices" |
Rami TABBARA |
Recent Grant History:
Year(s) | Source | Type | Title |
---|---|---|---|
2016 - 2018 | ARC | Discovery | Interplay of Topology and Geometry in Polymeric Critical Phenomena |
2012 - 2014 | ARC | Discovery | Advanced numerical and analytical techniques for exact studies in combinatorics and statistical mechanics |
2007 - 2011 | ARC | Discovery | Searching for solvability in Statistical Mechanics and beyond using advanced Enumerative Combinatorics |
2003 - 2010 | ARC | Centre Of Excellence | ARC Centre of Excellence for Mathematics and Statistics of Complex Systems |
2004 - 2008 | ARC | Network | Complex Open Systems Network (COSNet) |
2002 - 2006 | ARC | Discovery | Advanced Computational and Analytic Studies in Lattice Statistical Mechanics and Applications |
2005 | The University of Melbourne | MRGS | Development and application of novel stochastic enumeration techniques |
1999 - 2003 | ARC | Senior Research Fellowship | Lattice Walks in Statistical Mechanics |
2001 | The University of Melbourne | MRGS | Computer Simulations of lattice polymers |
Responsibilities:
Academic Board member |
Associate Deans Learning and Teaching Forum |
Bachelors of BioMed/BSc Standing Committee member |
CEBRA Board |
Chair of Management Committee |
Chair of Strategic Planning Committee |
Deputy Dean |
Faculty Planning & Resources Committee member |
Lecture & 2nd Examiner Schedules |
MGSS Academic Programs Commitee |
MGSS Management Committee |
Research Support Scheme Committee member (RSS) |
Teaching & Learning Support |
Committees:
Strategic Planning Committee |