Professor Aleks OWCZAREK

Professor

School of Mathematics and Statistics

  • Room: 192
  • Building: Peter Hall Building
  • Campus: Parkville Campus

Research Interests

  • Integrable systems
  • Mathematical Physics
  • Enumerative combinatorics
  • Statistical Mechanics

Research Groups

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.

Current Postgraduate Supervision

Name Thesis title
Ruijie XU

Past Postgraduate Supervision

Name Thesis title
Debra 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

Name Project title
Andrew OPPENHEIM "Directed walkers on the square and triangular planar lattices"
Andrew RECHNITZER "An investigation of Directed Percolation"
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
2004 - 2008 ARC Network Complex Open Systems Network (COSNet)
2003 - 2010 ARC Centre Of Excellence ARC Centre of Excellence for Mathematics and Statistics of Complex Systems

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