Skip to main content
Professor Roger Behrend

Professor Roger Behrend

Professor

Email
behrendr@cardiff.ac.uk
Telephone
+44 (0)29 2087 5543
Campuses
Room 3.70, Abacws, Senghennydd Road, Cathays, Cardiff, CF24 4AG

Overview

Current research

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

Current teaching

  • MA1008 Linear Algebra I
  • MA2014 Algebra I: Groups

Current position

Professional memberships

  • American Mathematical Society
  • Institute of Physics
  • London Mathematical Society

Biography

Qualifications

  • BSc, University of Melbourne, Australia
  • MSc, Imperial College London, UK
  • PhD, University of Melbourne, Australia

Previous positions

  • Research Fellow, Physics Institute, University of Bonn, Germany
  • Research Fellow, C. N. Yang Institute for Theoretical Physics, Stony Brook University, USA

Publications

2020

2019

2018

2017

2016

2015

2014

2013

2012

2008

2007

2004

2001

2000

1998

1997

1996

Teaching

Modules taught

  • MA0017 Elementary Mathematical Methods I
  • MA0122 Algebra I
  • MA1008 Linear Algebra I
  • MA1700 Numerical Analysis I
  • MA2014 Algebra I: Groups
  • MA2700 Numerical Analysis II
  • MA0323 Statistical Mechanics
  • MA3004 Combinatorics
  • MA3014 Algebra II: Rings
  • MA4901 Reading Module

Teaching award

  • Lecturer of the Year, 2016–2017.

Teaching-related roles

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

Research areas

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

Research award

Current research funding

  • Leverhulme Trust Research Project Grant RPG-2019-083, The combinatorics of alternating sign matrices and plane partitions, 2019–2022.

Research associate

Current PhD supervision

Recent PhD supervision

Selected conference talks

  • Algorithmic and Enumerative Combinatorics Special Research Programme Colloquium, 15 June 2018, Johannes Kepler University Linz, Austria.
  • Workshop on Enumerative Combinatorics, 13–19 May 2018, Mathematics Research Institute, Oberwolfach, Germany.
  • Algorithmic and Enumerative Combinatorics Special Research Programme Colloquium, 16 March 2018, University of Vienna, Austria.
  • Algebraic and Enumerative Combinatorics in Okayama, 19–23 February 2018, Okayama University, Japan.
  • Programme on Algorithmic and Enumerative Combinatorics, 16 October – 24 November 2017, Erwin Schrödinger International Institute for Mathematics and Physics, Vienna, Austria.
  • Programme on Statistical Mechanics, Integrability and Combinatorics, 11 May – 3 July 2015, Galileo Galilei Institute for Theoretical Physics, Florence, Italy.
  • Programme on Combinatorics, Geometry and Physics, 2 June – 31 July 2014, Erwin Schrödinger International Institute for Mathematics and 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, Portugal.
  • Programme on Combinatorics and Statistical Physics, 1 February – 15 June 2008, Erwin Schrödinger International Institute for Mathematics and 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, 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, University of Bologna, Italy.

Selected departmental talks

  • Chalmers University of Technology and University of Gothenburg, Sweden, Department of Mathematical Sciences, 11 June 2019.
  • Cardiff University, UK, School of Mathematics, 20 March 2019.
  • University of Queensland, Australia, School of Mathematics and Physics, 14 August 2018.
  • City University of London, UK, Department of Mathematics, 21 March 2017.
  • University of South Wales, UK, School of Computing and Mathematics, 26 October 2016.
  • University of Melbourne, Australia, Department of Mathematics and Statistics, 11 August 2016.
  • Queen Mary University of London, UK, School of Mathematical Sciences, 11 March 2016.
  • University of Glasgow, UK, School of Mathematics and Statistics, 18 February 2016.
  • Maxwell Institute for Mathematical Sciences, UK, 17 February 2016.
  • Royal Holloway University of London, UK, Department of Mathematics, 2 December 2014.
  • University of Glasgow, UK, School of Mathematics and Statistics, 13 November 2012.
  • University of Kent, UK, School of Mathematics, Statistics and Actuarial Science, 12 June 2012.
  • University of Melbourne, Australia, Department of Mathematics and Statistics, 16 & 17 May 2011.
  • Pierre and Marie Curie University, France, Theoretical and High Energy Physics Laboratory, 24 March 2011.
  • Swansea University, UK, Mathematics Department, 6 November 2007.
  • University of Melbourne, Australia, Department of Mathematics and Statistics, 6 September 2007.
  • Open University, UK, Mathematics Department, 8 December 2005.
  • University of Edinburgh, UK, School of Mathematics, 8 December 2004.
  • University of York, UK, Department of Mathematics, 26 June 2003.
  • University of Oxford, UK, Mathematical Institute, 26 February 2002.

Visiting research positions

  • Faculty of Mathematics, University of Vienna, Austria, 1 September 2017 – 31 August 2018.
  • Galileo Galilei Institute for Theoretical Physics, Florence, Italy, 14 May – 6 June 2015.
  • Erwin Schrödinger International Institute for Mathematics and Physics, Vienna, Austria, 8–21 June 2014.
  • Erwin Schrödinger International Institute for Mathematics and Physics, Vienna, Austria, 8 May – 13 June 2008.
  • Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, 14 January – 25 April 2008.

Research-related roles

  • Organiser of School of Mathematics Colloquia.
  • Reviewer for journals and funding agencies.
  • PhD examiner.
  • Treasurer of Mathematical and Theoretical Physics Group, Institute of Physics, 2012–2016.
  • Isaac Newton Institute Correspondent, 2012–2017.

Conference organisation

  • 31st International Conference on Formal Power Series and Algebraic Combinatorics, University of Ljubljana, Slovenia, 1–5 July 2019.
  • 29th International Conference on Formal Power Series and Algebraic Combinatorics, Queen Mary University of London, UK, 9–13 July 2017.
  • Workshop on Combinatorial Physics, Cardiff University, UK, 17–19 December 2013.

Supervision

Past projects

External profiles