Dr RICHARD BRAK
Position:
Senior Lecturer
Email:
Room:
197
Ext. Number:
49684
Research Groups:
Interests:
- Enumerative combinatorics
- Statistical Mechanics
- Stochastic Processes
- Critical Phenomena (phase transitions)
- Markov processes
- Combinatorics
- Orthogonal functions and polynomials
- Polymers
- Modelling of biological systems
Recent Publications:
- Bi-orthogonal polynomial sequences and the asymmetric simple exclusion process (2015) more
- Constant term solution for an arbitrary number of osculating lattice paths (2013) more
- Simple Asymmetric Exclusion Model and Lattice Paths: Bijections and Involutions (2012) more
- An Infinite Family of Adsorption Models and Restricted Lukasiewicz Paths (2011) more
- Exact solution of a three-dimensional lattice polymer confined in a slab with sticky walls (2010) more
Extra Information:
My general interest lies in the mathematics of statistical mechanics and combinatorics.
Current Postgraduate Supervision:
John FOXCROFT | "Combinatorial Enumeration and the Bethe Auzats." |
William MOORE | "Bi-orthogonal Polynomials and the Combinatorics of Asymmetric Simple Exclusion Process" |
Past Postgraduate Supervision:
Nicholas BEATON | "Combinatorics of Lattice Paths and Polygons" |
Paul FIJN | "The combinatorics and graph theory of stochastic interface and lattice path problems" |
Caley FINN | "The Asymmetric Exclusion Process with Open Boundaries" |
Will JAMES | "The enumeration of heaps and almost-convex polygons" |
Paul NIDRAS | "Critical behaviour of geometric cluster models" |
Judy-anne OSBORN | "Combinatorics of pavings and paths" |
Past MSc Students:
Andrew OPPENHEIM | "Directed walkers on the square and triangular planar lattices" |
Tianyu (Tim) YANG | |
William MOORE | |
William TOM |
Recent Grant History:
Year(s) | Source | Type | Title |
---|---|---|---|
2014 - 2016 | ARC | Discovery | Multivariate polynomials:combinatorics and applications (080080) |
2003 - 2010 | ARC | Centre Of Excellence | ARC Centre of Excellence for Mathematics and Statistics of Complex Systems |
2002 - 2006 | ARC | Discovery | Advanced Computational and Analytic Studies in Lattice Statistical Mechanics and Applications |
Responsibilities:
Chair of Web/IT Committee |
Department Database Co-ordinator |
Department WWW Coordinator |
IT Cluster Committee Dept Rep |
Lecture & 2nd Examiner Schedules |
Committees:
IT/Web Committee (Chair) |
Management Committee (Committee Chair) |
UGS Committee |