Research interests

Combinatorics, including alternating sign matrices, graphs, lattice paths, plane partitions, polytopes.

Mathematical physics, including conformal field theory, integrable statistical mechanical models.

Slides of recent seminars

Fractional perfect b-matching polytopes

Osculating paths and oscillating tableaux

Polytopes and alternating sign matrices

Proof of the alternating sign matrix and descending plane partition conjecture

Visiting fellowships

Erwin Schrödinger International Institute for Mathematical Physics, Vienna, Austria, 8 - 21 June 2014.

Erwin Schrödinger International Institute for Mathematical Physics, Vienna, Austria, 8 May - 13 June 2008.

Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, 14 January - 25 April 2008.

Selected conference talks

Workshop on 2D Quantum Gravity and Statistical Mechanics, Programme on Combinatorics, Geometry and Physics, 16-20 June 2014, Erwin Schrödinger International Institute for Mathematical Physics, Vienna, Austria.

Workshop on Algebraic Combinatorics Related to Young Diagrams and Statistical Physics, 6-10 August 2012, International Institute for Advanced Studies, Kyoto, Japan.

68th Séminaire Lotharingien de Combinatoire, 25-28 March 2012, Domaine Saint-Jacques, France.

StatPhys24 Satellite Meeting on Combinatorics and Mathematical Physics, 12-14 July 2010, University of Queensland, Brisbane, Australia.

Coimbra Meeting on 0-1 Matrix Theory and Related Topics, 17-19 June 2010, University of Coimbra, Coimbra, Portugal.

Programme on Combinatorics and Statistical Physics, 1 February - 15 June 2008, Erwin Schrödinger International Institute for Mathematical Physics, Vienna, Austria.

Programme on Combinatorics and Statistical Mechanics, 14 January - 4 July 2008, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK.

6th International Conference on Lattice Path Combinatorics and Applications, 12-14 July 2007, East Tennessee State University, Johnson City, USA.

5th Permutation Patterns Conference, 11-15 June 2007, University of St Andrews, St Andrews, UK.

Gregynog Mathematics Colloquium, 21-23 May 2007, Gregynog, UK.

Workshop on Combinatorial Problems Raised by Statistical Mechanics, 19-23 February 2007, Centre de Recherches Mathématiques, Montréal, Canada.

6th Bologna Workshop on Conformal Field Theories and Integrable Models, 22-25 September 2004, Università di Bologna, Bologna, Italy.

Selected invited seminars

Royal Holloway University of London, Department of Mathematics, 2 December 2014.

University of Glasgow, School of Mathematics and Statistics, 13 November 2012.

University of Kent, School of Mathematics, Statistics and Actuarial Science, 12 June 2012.

University of Melbourne, Department of Mathematics and Statistics, 16 & 17 May 2011.

Université Pierre et Marie Curie, Laboratoire de Physique Théorique et Hautes Energies, 24 March 2011.

Swansea University, Mathematics Department, 6 November 2007.

University of Melbourne, Department of Mathematics and Statistics, 6 September 2007.

Open University, Mathematics Department, 8 December 2005.

University of Edinburgh, School of Mathematics, 8 December 2004.

University of York, Department of Mathematics, 26 June 2003.

University of Oxford, Mathematical Institute, 26 February 2002.

Mathematica Files

File for the paper Multiply-refined enumeration of alternating sign matrices