## Publications

- C. M. Ormerod, Tropical geometric interpretation of ultradiscrete singularity confinement
- C. M. Ormerod, G.R.W. Quispel and P.H. van der Kamp, Discrete Painlevé equations and their Lax pairs as reductions of integrable lattice equations, J. Phys. A: Math. Theor., Volume 46 (9) (2013) , 095204.
- N.S. Witte and C.M. Ormerod, Construction of a Lax pair for the $ E_6^{(1)}$ $q$-Painlevé System (accepted for SIGMA).
- C. M. Ormerod, Reductions of lattice mKdV to q-PVI, Physics Letters A, Phys. Lett. A, .376 (2012) 2855–2859
- P. J. Forrester, C. M. Ormerod and N. S. Witte Connection preserving deformations and $q$-semi-classical orthogonal polynomials. Nonlinearity, Volume 24 (2011), Number 9,
*.* - C. M. Ormerod, Symmetries in connection preserving defomrations, SIGMA 7 (2011), 049, 13 pages.
- C. M. Ormerod, The lattice structure of connection preserving deformations for q-Painleve equations I SIGMA 7 (2011), 045, 22 pages
- C. M. Ormerod, A study of the associated linear problem for q-V J. Phys. A: Math. Theor. 44 (2011) 025201
- C. M. Ormerod, Hypergeometric solutions to an ultradiscrete Painleve equation Journal of Nonlinear Mathematical Physics, Volume: 17, Issue: 1(2010) pp. 87-102
- P. J. Forrester and C. M. Ormerod, Differential equations for deformed Laguerre polynomials Journal of Approximation Theory, Volume 162 (2010) no. 4
- C. M. Ormerod, Connection matrices for ultradiscrete linear problems. J. Phys. A 40 (2007), no. 42, 12799-12809.
- C. M. Field and C. M. Ormerod, An ultradiscrete matrix version of the fourth Painleve equation Adv. Difference Equ. 2007, Art. ID 96752(with Christopher M. Field)
- N. Joshi and C. M. Ormerod, The general theory of linear difference equations over the max-plus semi-ring. Stud. Appl. Math. 118 (2007), no. 1, 85--97.
- N. Joshi, F. Nijhoff and C. M. Ormerod, Lax pairs for ultra-discrete Painleve cellular automata. J. Phys. A 37 (2004), no. 44, L559--L565.
- C. M. Ormerod, Cellular automata model of HIV infection on tilings of the plane. Proceedings of the 7th Asia-Pacific Conference on Complex Systems Cairns Convention Centre, Cairns, Australia, 6-10th December 2004.
- N. Bordes, C.Ormerod and B. Pailthorpe, Characterising Coupled Map Lattices. Proceedings of HPC Asia'01, Gold Coast, Australia (Sept. 24-28, 2001)

## Preprints

- C. M. Ormerod, P.H. van der Kamp, G.R.W. Quispel, J. Hietarinta, Twisted reductions of integrable lattice equations, and their Lax representations.

## Talks

- q-differential equations for orthogonal polynomials The University of Melbourne : Tuesday the 18th of August
- Discrete Painleve equations: integrability, symmetries and associated linear problems The University of Melbourne : Tuesday the 9th of Jun
- Orthogonal polynomials and connection preserving deformations Discrete Integrable Systems Programme : The Newton Institute Cambridge : March 20th 2009 : Slides : Movie
- Connection matrices and orthogonal polynomials Integrability Day 2008 : Latrobe Univeristity : November 24th 2008 : Slides
- Lax pairs for integrable systems from orthogonal polynomials Latrobe Univeristity : November 12th 2008 : Notes
- Valuation based ultradiscretization Latrobe Univeristity : September 24th 2008 : Notes
- Beginners guide to QRT mappings as rational automorphisms of rational elliptic surfaces Latrobe Univeristity : September 3rd 2008 : Notes
- The weird and wonderful world of discrete Waves The University of Melbourne : August 29th 2008 : MUMS presentation slides
- From the Second Painleve equation to U_q(sl_n)-crystals The University of Melbourne : August 19th 2008 + September 2nd 2008 : Notes
- Orthogonal polynomials and Painleve equations talk The University of Melbourne: April 5th 2008 : Notes
- Solutions to Ultradiscrete Painleve equations Latrobe University: September 26th 2007 : Slide

## Teaching

- MAT3SC : Scientific Computing