Professor Aleks OWCZAREK

Professor

School of Mathematics and Statistics

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

Research Interests

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

Research Groups

Recent Publications

  • C. Bradly, A. Owczarek, T. Prellberg. Universality of crossover scaling for the adsorption transition of lattice polymers. Physical Review E, 97, 022503 (10pp), 2018. doi: 10.1103/PhysRevE.97.022503. arXiv.

  • A Narros, A. Owczarek, T. Prellberg. Anomalous polymer collapse winding angle distributions. Journal of Physics A: Mathematical and Theoretical, 51, 2018. doi: 10.1088/1751-8121/aaabc8. arXiv.

  • E. Dagrosa, A. Owczarek, T Prellberg. Writhe induced phase transition in unknotted self-avoiding polygons. Journal of Statistical Mechanics: Theory and Experiment, 2017, 093206, 2017. doi: 10.1088/1742-5468/aa85b9. arXiv.

  • E. Dagrosa, A. Owczarek, T Prellberg. Phase diagram of twist storing lattice polymers in variable solvent quality. Journal of Statistical Mechanics: Theory and Experiment, 2017, 103204, 2017. doi: 10.1088/1742-5468/aa8c2d. arXiv.

  • A. Owczarek, A. Rechnitzer. Force signature of the unzipping transition for strip confined two-dimensional polymers. Journal of Physics A: Mathematical and Theoretical, 50, 484001 (24pp), 2017. doi: 10.1088/1751-8121/aa9105. PDF.

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Extra Information

I hold the position of Professor in Mathematics and Statistics of the University of Melbourne and am currently in the role of Deputy Dean of the Faculty of Science. Previously, I was Head of School/Department of Mathematics and Statistics between 2011-2016. I was also Director of the Melbourne Graduate School of Science/Associate Dean (Graduate Program) between 2009 and 2016. I currently hold an Australian Research Council Discovery Program grant on the Interplay of Topology and Geometry in Polymeric Critical Phenomena and am a Fellow of the Australian Mathematical Society. My area of expertise is mathematical statistical mechanics and, in particular, the area of phase transitions and critical phenomena of model polymer systems, namely lattice walk models, which lies within the discipline of mathematical physics. My 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. My Orcid ID Publications

Current Postgraduate Supervision

Name Thesis title
Ruijie XU "Some interacting quarter plane walk rpoblems"

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 "A generalised model of a semi-flexible polymer at an adsorbing wall"

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

Responsibilities

  • Academic Board member
  • Bachelors of BioMed/BSc Standing Committee member
  • Deputy Dean
  • Lecture & 2nd Examiner Schedules