Curriculum Vitae : Doctor Christopher Michael Ormerod Personal Information Name: Christopher Michael Ormerod Email: christopher.ormerod@gmail.com Date of Birth: 25 th of January 1982 Address: 71 N Wilson Ave Pasadena CA 91106 USA Phone: H: (626) 3908621 W: (626) 395-4831 Citizenship: Australian (E3 Visa). http://www.math.caltech.edu/ cormerod/ Qualifications Bachelor of Science (Pure Mathematics with First Class Honors) The University of Sydney 2004 Doctor of Philosophy (Applied Mathematics) The University of Sydney 2008 Primary Research Interests Integrable systems. Linear and nonlinear difference Orthogonal polynomials and Special functions. Algebraic and Tropical Geometry. Nonlinear wave equations (discrete and continuous). Secondary Research Interests Statistical Mechanics. Scientific computing and numerical algorithms. Mathematical Biology. Mathematical Physics. Research Positions 2002 2003 Research Assistant in Computational Mathematics and Physics, Vislab, The University of Sydney 2005 2007 Research Assistant in Computational Statistics, School of Math. and Stat., The University of Sydney. 2007 2008 Research Assistant, School of Math. and Stat., The University of Sydney. 2008 2010 Postdoctoral Research Fellow, The University of Melbourne. 2010 2011 Associate Lecturer, La Trobe University. 2011 2013 Australian Postdoctoral Fellow (ARC APD), La Trobe University. 2013 - present Tausky-Todd Instructor, Caltech. 1
Published articles [1] Ormerod C M and Yamada Y 2015 From polygons to ultradiscrete Painlevé SIGMA 11, Art-No 056, 36 pages [2] Al-Anzi B, Arpp P, Gerges S, Ormerod C, Olsman N, & Zinn K 2015 Experimental and Computational Analysis of a Large Protein Network That Controls Fat Storage Reveals the Design Principles of a Signaling Network. PLOS Computational Biology, 11(5). [3] Ormerod C M, van der Kamp P H, Quispel G R W and Hietarinta J 2014, Twisted reductions of integrable lattice equations, and their Lax representations, Nonlinearity, 27 (6) 1367. [4] Ormerod C M 2014 Symmetries and special solutions of reductions of the lattice potential KdV equation SIGMA 10 (2014), 002. [5] Ormerod C M 2013 Tropical geometric interpretation of ultradiscrete singularity confinement J. Phys. A: Math. Theor. 46, (2013) 305204 [6] Ormerod C M, van der Kamp P H, Quispel G R W 2013 On Lax representations of reductions of integrable lattice equations, J. Phys. A: Math. Theor., Volume 46 (9), 095204. [7] Witte N S and Ormerod C M 2012 Construction of a Lax pair for the E (1) 6 q-painlevé System, SIGMA, 8, 097, 27 pages. [8] Ormerod C M 2012 Reductions of lattice mkdv to q-p VI, Phys. Lett. A., 376, 2855 2859. [9] Ormerod C M, Forrester P J and Witte N S 2011 Connection preserving deformations and q-semi-classical orthogonal polynomials. Nonlinearity, 24 (9), 2405, 33 pages. [10] Ormerod C M 2011 Symmetries in connection preserving deformations. SIGMA 7, 049, 13 pages. [11] Ormerod C M 2011 The Lattice Structure of Connection Preserving Deformations for q-painlevé Equations. SIGMA, 7, 045, 22 pages. [12] Ormerod C M 2011 A study of the associated linear problem for q-p V. Journal of Physics A : Mathematical and Theoretical, 44 (2), 025201. [13] Ormerod C M 2010, Hypergeometric solutions to an ultradiscrete Painlevé equation. Journal of Nonlinear Mathematical Physics, 17 (1), 87 102. [14] Forrester P and Ormerod C M 2010 Differential equations for deformed Laguerre polynomials. Journal of Approximation Theory, 162 (4), 653 677. [15] Ormerod C M 2007 Connection matrices for ultradiscrete linear problems. Journal of Physics A : Mathematical and Theoretical, 40 (42), 12799 12809. [16] Field C M and Ormerod C M 2007 An ultradiscrete matrix version of the fourth Painlevé equation. Advances in Difference Equations, 2007 96752. [17] Joshi N and Ormerod C 2007 The general theory of linear difference equations over the max-plus semi-ring. Studies in Applied Mathematics, 118 (1), 85 97. [18] Joshi N, Nijhoff F W and Ormerod C 2004 Lax pairs for ultra-discrete Painlevé cellular automata. Journal of Physics A: Mathematical and General, 37 (44), L559 L565. Conference Proceedings [19] Ormerod C 2015 Spectral curves and discrete Painlevé equations, Proceedings of the Special Session on Algebraic and Analytic Aspects of Integrable Systems and Painlevé Equations (edited by Anton Dzhamay, Kenichi Maruno, and Christopher Ormerod), In Press. [20] Ormerod C 2006 Connection matrices for ultradiscrete linear problems. Reports of RIAM Symposium No.18ME-S5. [21] Ormerod C 2004 A cellular automaton model for HIV on different tilings of the plane Proceedings of the 7-th Asia- Pacific Conference on Complex Systems 2004. [22] Pailthorpe B, Bordes N and Ormerod C 2002 Characterizing coupled map lattices Proceedings of the Australasian Conference on High Performance Computing (HPC). 2
Preprints [23] Al-Anzi, B., Olsman N, Ormerod C M, Piliouras G, Gerges S, Ormerod J and Zinn K, A new computational model captures architectural features of biological networks, In press. [24] Ormerod C 2006 An ultradiscrete QRT mapping from tropical elliptic curves. arxiv:0609060. Books [25] Dzhamay A, Ormerod C M and Maruno K (Editors) Proceedings of the Special Session on Algebraic and Analytic Aspects of Integrable Systems and Painlevé Equations, AMS Contemporary Mathematics Series 2015. In Press. Lecturing Experience 1. Scientific Computing 2010-2012 (Latrobe University, 3rd year Mathematics unit) :Taught with MATLAB, focuses on numerical root finding, optimization, interpolation, numerical quadrature and solving ordinary differential 2. Calculus and Linear Algebra 2010 (Latrobe University, 1st year Mathematics unit) : Linear algebra component of this course; vectors, lines, planes and the Gaussian algorithm. 3. Discrete Integrable Systems 2012 (Latrobe University, Graduate Level) : A course on integrable mappings and integrable lattice 4. q-special functions and integrable systems 2013 (Caltech, Graduate student course): q-special functions covering q-hypergeometric functions and q-orthrogonal polynomials with applications to integrable systems. 5. Abstract Algebra: Galois theory and representation theory 2013-2016 (Caltech, Undergraduate level): Galois theory and Representation theory, covering finite and infinite Galois extensions, representations, characters and Lie groups. 6. Combinatorics 2014-2016 (Caltech, Both Graduate and Undergraduate level): This course covers a range of topics from enumerative and extremal combinatorics with some emphasis on combinatorial species (i.e., combinatorial functors) and their generating functions. 7. Integrable Systems 2016 (Caltech, Graduate level): The proposed course will cover some basic notions of integrable systems arising from Lax pairs, with an emphasis on discrete and continuous Painlevé equations and wave Other Teaching Experience 1. Scientific Visualization: 2001 (Sydney University, 3rd year Physics unit) : Some simple programming to produce data visualized by a visualization package. 2. Compuational Science in C and MATLAB: 2002-2007 (Sydney University, 1st year Physics unit) : A course covering some simple numerical algorithms with applications to scientific problems in physics and chemistry. 3. Ordinary differential equations: 2004 (Sydney University, 3rd year Mathematics unit) : Some basic techniques for solving autonomous ordinary differential 4. Linear algebra: 2004-2007 (Sydney University, 1st year Mathematics unit): A basic first year linear algebra unit. 5. Calculus: 2004-2007 (Sydney University, 1st year Mathematics unit): A basic first year calculus unit. 6. Calculus: 2007 (The University of New South Wales, 1st year Mathematics unit): A basic first year calculus unit. 7. Calculus and Linear Algebra: 2009 (La Trobe University, 1st year Mathematics unit): A basic first year linear algebra and calculus unit. 8. Vector Calculus: 2009 (La Trobe University, 2nd year Mathematics unit): A second year course on the calculus of functions of multiple variables. 9. Linear Algebra: 2009 (La Trobe University, 2nd year Mathematics unit): A first course in vector spaces. 3
Organized Conferences/Special Sessions Workshop entitled Integrability Day, November 2009: La Trobe University. Workshop entitled Nonlinear Dynamical Systems, September 2012: La Trobe University. Special session of the Joint Math Meeting entitled Algebraic and Analytic Aspects of Integrable Systems and Painlevé Equations, January 2014, Baltimore. (Upcoming) Special session of the Joint Math Meeting entitled Integrable Systems, Painlevé equations and Random Matrices, January 2016, Seattle. Invited talks Spectral curves and discrete Painlevé equations, 2014, Tokyo University of Marine Science, Tokyo, Japan. Reductions of partial difference equations, March 2013, Newton Institute, Cambridge, UK. q-painleve equations as periodic reductions of integrable lattice equations, The Eighth IMACS International Conference on. Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Georgia 2013. Orthogonal polynomials and Painlevé equations (Lecture Series), July 2012, Ningbo University, China. Lattices of connection preserving deformations, July 2011, Newton Institute, Cambridge, UK. Orthogonal polynomials and connection preserving deformations, March 2009, Newton Institute, Cambridge, UK. Connection matrices for ultradiscrete linear problems, September 2006, Kobe University, Tokyo University, Kyushu University and Ryukoku University, Japan. Research Grants 2009-2011 : I was a chief investigator on the ARC Discovery Project DP0988944 entitled The Sakai scheme - Askey table correspondence, analogues of isomonodromy and determinantal point processes joint with Professor Peter Forrester. Budget Awarded: $270,000. 2011-2013 : I was a named investigator on the ARC Discovery Project DP110100077 entitled Discrete Integrable Systems with Professor Reinout Quispel, Associate Professor John Roberts, Doctor Pieter van der Kamp, Professor Johannes Duistermaat, Professor Frank Nijhoff and Doctor Sarah Lobb. Budget Awarded: $780,000. 2012 : Doctor Sarah Lobb, Professor Reinout Quispel, Doctor Dmitry Demskoi and I have obtained a small grant to hold an AMSI and AustMS Workshop on Nonlinear Dynamical Systems held in 2012. Budget Awarded: $15,000. 2014 : Professor Kai Zinn, Professor Bader Al-Anzi, Dr Georgios Piliouras and I have obtained an equipment grant for a GPU to be used in a server. Equivalent Value: $2,000 Journals refereed for: Proceedings of the Royal Society of London A. Communications in Mathematical Physics. Journal of Difference Equations and Applications. Journal of Physics A : Mathematical and General. International Mathematics Research Notices. Symmetry, Integrability and Geometry: Methods and Applications. Letters in Mathematical Physics. 4
Other Experience 2003: Assistant in developing material and curriculum for the Computational Science in C and MATLAB courses. 2004 2006 Postgraduate Representative for the School of Mathematics and Statistics (The University of Sydney). 2005 Postgraduate Representative for the School Planning and Development work group for the School of Mathematics and Statistics (The University of Sydney) 2001 2006 President of the Sydney University Mathematical Society (SUMS). 2003-2007 University Tutor of Computational Science in C, Department of Physics (The University of Sydney) 2003 2005 University Tutor of Computational Science in MATLAB, Department of Physics (The University of Sydney) 2004 2007 University Tutor of Mathematics, School of Mathematics and Statistics (The University of Sydney) 2007 University Tutor of Mathematics, School of Mathematics and Statistics (The University of New South Wales) Programming Languages C/ C++ Java R Fortran Mathematica Sage MATLAB Referees Contact Details First Referee: Professor Eric Rains Email : rains@caltech.edu Phone : (626) 395-4322 Second Referee: Professor Nalini Joshi Email : nalini.joshi@sydney.edu.au Phone : +61 2 9351 2172 Mail : School of Mathematics and Statistics University of Sydney, Carslaw Building (F07) University of Sydney NSW 2006. Third Referee: Professor Reinout Quispel Email : R.Quispel@latrobe.edu.au Phone :+61 3 9479 1201 Mail : Department of Mathematics and Statistics Latrobe University, Bundoora Vic 3086 Australia. Fourth Referee (Teaching): Professor Dinakar Ramakrishnan Email : dinakar@caltech.edu Phone : (626) 395-4348 Fifth Referee : Doctor Bader Al-Anzi Email : baderalanzi13@gmail.com Phone : (626) 395-8315 Sixth Referee : Professor Kai Zinn Email : zinnk@caltech.edu Phone : (626) 395-8352 5