Dr Roger Behrend

Dr Roger Behrend

Senior Lecturer

School of Mathematics

Email:
behrendr@cardiff.ac.uk
Telephone:
+44 (0)29 2087 5543
Location:
M/2.36, 2nd Floor, Mathematics Institute, Senghennydd Road, Cardiff, CF24 4AG

Current research

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

Current teaching

  • MA0213 Groups
  • MA3003 Groups, Rings and Fields
  • MA3004 Combinatorics

Current supervision

  • Hassan Izanloo, PhD, 2014-2018
  • Dominic Foley, MMath, 2015-2016

Departmental positions

  • Chair of Year Two Examination Board
  • Member of Extenuating Circumstances Panel
  • Undergraduate Open Day Speaker
  • Year Two Tutor

External positions

  • Member of Organising Committee, 29th International Conference on Formal Power Series and Algebraic Combinatorics, Queen Mary University of London, July 2017
  • Isaac Newton Institute Correspondent
  • Treasurer of Mathematical and Theoretical Physics Group, Institute of Physics, 2012-2016

Professional memberships

  • London Mathematical Society
  • Institute of Physics

Current and previous teaching

  • MA0017 Elementary Mathematical Methods I
  • MA0122 Algebra I
  • MA1700 Numerical Analysis I
  • MA0213 Groups
  • MA2700 Numerical Analysis II
  • MA0323 Statistical Mechanics
  • MA3003 Groups, Rings and Fields
  • MA3004 Combinatorics
  • MA4901 Reading Module

Research areas

  • Combinatorics, including alternating sign matrices, graphs, lattice paths, plane partitions, polytopes.
  • Mathematical physics, including conformal field theory, integrable statistical mechanical models.

Selected conference talks

  • Programme on Statistical Mechanics, Integrability and Combinatorics, 11 May - 3 July 2015, Galileo Galilei Institute for Theoretical Physics, Florence, Italy.
  • 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 departmental seminars

  • City University of London, Department of Mathematics, 21 March 2017.
  • University of South Wales, School of Computing and Mathematics, 26 October 2016.
  • University of Melbourne, Department of Mathematics and Statistics, 11 August 2016.
  • Queen Mary University of London, School of Mathematical Sciences, 11 March 2016.
  • University of Glasgow, School of Mathematics and Statistics, 18 February 2016.
  • Maxwell Institute for Mathematical Sciences, Edinburgh, 17 February 2016.
  • 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.

Recent seminar titles

  • Diagonally and antidiagonally symmetric alternating sign matrices of odd order.
  • Multiply-refined enumeration of alternating sign matrices.
  • Fractional perfect b-matching polytopes.
  • Proof of the alternating sign matrix and descending plane partition conjecture.
  • Polytopes and alternating sign matrices.
  • Osculating paths and oscillating tableaux.

Visiting research positions

  • Galileo Galilei Institute for Theoretical Physics, Florence, Italy, 14 May - 6 June 2015.
  • 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.

Conference organisation

  • Workshop on Combinatorial Physics, Cardiff University, 17-19 December 2013.
  • 29th International Conference on Formal Power Series and Algebraic Combinatorics, Queen Mary University of London, 9-13 July 2017.