Distinguished Professor Marston Donald Edward Conder

MSocSc (Waikato), DPhil (Oxford), DSc (Oxford), FAMS, FNZMS, FRSNZ, FTICA

Profile Image
Professor in Pure Mathematics

Research | Current

  • Combinatorial group theory
  • Symmetries of maps and surfaces
  • Discrete computation

Postgraduate supervision

Projects on offer

  • Finitely-presented groups (Reading and/or Project)
  • Actions of groups on graphs (Reading and/or Project)
  • Actions of groups on surfaces (Reading and/or Project)
  • Questions on linear orderings of subsets of a finite set (Reading and/or Project)

Areas of expertise

* Group theory and its applications, especially to the study of symmetry

* Regular and chiral maps on surfaces

* Arc-transitive graphs

* Regular and chiral polytopes

* Group actions on Riemann and Klein surfaces

 

Selected publications and creative works (Research Outputs)

  • Bujalance, E., Cirre, F. J., & Conder, M. (2015). Extensions of finite cyclic group actions on bordered surfaces. Revista Matemática Iberoamericana, 31 (1), 349-372. 10.4171/RMI/837
  • Conder, M. D. E., & Ma, J. (2015). Regular maps with simple underlying graphs. Journal of Combinatorial Theory, Series B, 110, 1-18. 10.1016/j.jctb.2014.07.001
  • Conder, M. D. E., Li, C. H., & Potočnik P (2015). On the orders of arc-transitive graphs. Journal of Algebra, 421, 167-186. 10.1016/j.jalgebra.2014.08.025
  • Conder, M. D. E., & Tucker, T. W. (2014). Regular Cayley maps for cyclic groups. Transactions of the American Mathematical Society, 366 (7), 3585-3609.
  • Conder, M. D. E. (2014). Large group actions on surfaces. In M. Izquierdo, S. A. Broughton, A. F. Costa, R. E. Rodriguez (Eds.) Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces: Conference in honor of Emilio Bujalance on Reimann and Klein surfaces, symmetries and moduli spaces, June 24-28, Linkoping University, Linkoping, Sweden (pp. 77-97). Providence, Rhode Island, USA: American Mathematical Society.
  • Conder, M. D. E., Kwon, Y. S., & Siran, J. (2014). On external symmetry groups of regular maps. In R. Connelly, A. Ivic Weiss, W. Whiteley (Eds.) Rigidity and Symmetry (pp. 87-96). New York: Springer.
  • Conder, M. D. E., & Zimmermann, B. P. (2014). Maximal bordered surface groups versus maximal handlebody groups. In M. Izquierdo, S. A. Broughton, A. F. Costa, R. E. Rodriguez (Eds.) Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces: Conference in honor of Emilio Bujalance on Rieman and Klein surfaces, symmetries and moduli spaces, June 24-28, 2013, Linkoping University, Linkoping, Sweden (pp. 99-105). Providence, Rhode Island, USA: American Mathematical Society.
  • Conder, M. D. E., Pisanski, T., & Žitnik A (2014). GI-graphs: A new class of graphs with many symmetries. Journal of Algebraic Combinatorics, 40 (1), 209-231.

Contact details

  • Media Contact

Web links

Office hours

Mo, Thu 11.15am-12.30pm

Primary location

SCIENCE CENTRE - MATHPHYSIC - Bldg 303
Level 4 , Room 417
38 PRINCES ST
AUCKLAND 1010
New Zealand