Dr Wolfram Bentz


Faculty of Science and Engineering


+44 (0) 1482 462147

Wolfram is an algebraist who attained his PhD at the University of Waterloo under the supervision of Ross Willard.

After initially working in Canada, he received a prestigious Marie Curie Fellowship and moved to the Centre of Algebra at the University of Lisbon.

There, he was the principal investigator for the research project, Dualisability of Algebras from Congruence-Permutable Varieties, funded by the European Union's Research Executive Agency and the Foundation for Science and Technology of Portugal.

He stayed at the Centre of Algebra under a Visiting Science Fellowship before joining the University of Hull in 2015.


Research Interests

  • Permutation groups
  • Transformation semigroups
  • Graph endomorphisms

Research groups

  • Centre for Computational and Stochastic Mathematics, Instituto Superior Técnico, University of Lisbon


"Orbits of Primitive k-homogenous Groups on (n − k)-partitions with Applications to Semigroups", to appear in the Transactions of the American Mathematical Society (2017). doi:10.1090/tran/7274 (with J. Araújo and P.J. Cameron).

"Automorphism Groups of Circulant Digraphs with Applications to Semigroup Theory", Combinatorica (2017). doi:10.1007/s00493-016-3403-0 (with J. Araújo, E. Dobson, J. Konieczny, and J. Morris).

“Primitive Groups, Graph Endomorphisms and Synchronization”, Proceedings of the London Mathematical Society 113 (2016), 829–867 (with J. Araújo, P.J. Cameron, G. Royle, and A.Schaefer).

“The Rank of the Semigroup of Transformations Stabilising a Partition of a Finite Set”, Mathematical Proceedings of the Cambridge Philosophical Society 159 (2015), 339–353 (with J. Araújo, J.D.Mitchell, and Cs.Schneider).

“Dualizability of Automatic Algebras”, Journal of Pure and Applied Algebra 218 (2014), 1324–1345 (with B. A. Davey, J. G. Pitkethly, and R. Willard).

“Groups Synchronizing a Transformation of Non-Uniform Kernel”, Theoretical Computer Science 498 (2013), 1–9 (with J. Araújo and P. J. Cameron).

Full list


Programmes taught on (2019)

Modules list

  • Linear Algebra and Group Theory
  • Advanced Mathematical Logic
  • Numbers, Sequences, and Series Analysis

Research PhDs

  • Algebra
  • Combinatorics
  • Geometry

Teaching awards and accolades

  • Fellow of the Higher Education Academy

Professional highlights

Academic qualifications

  • PhD Pure Mathematics, University of Waterloo
  • MSc Mathematics, Simon Fraser University
  • Dipl Math, Phillips University Marburg

Awards and accolades

Awarded a Marie Curie Fellowship for project "Dualizability of Algebras from Congruence-Permutable Varieties"