School of Mathematics & Physical Sciences

Dr Wolfram Bentz

Director of Research for Mathematics

School of Mathematics & Physical Sciences

  • Profile
  • Teaching
  • Research
  • Publications


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 Center of Algebra, University of Lisbon, where he was the principal investigator for the research project “Dualizability 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 Center of Algebra under a Visiting Science Fellowship before joining the University of Hull in 2015.


32123 - Numbers, Sequences, and Series
32220 - Analysis


Wolfram's research examines connections between algebras (groups, semigroups, independence algebras, and more general, algebras in the meaning of Universal Algebra) and other mathematical objects that have a natural connection to the algebras. These objects are combinatorial structures, such as graphs or automata, topological spaces, and more complicated objects such as relational topological structures. Wolfram's work establishes properties of algebras using the associated objects, and vice versa.


  • J. Araújo, W. Bentz, J.D.Mitchell, and Cs.Schneider. 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.
  • J. Araújo, W. Bentz, and J. Konieczny. The Commuting Graph of the Symmetric Inverse Semigroup, Israel Journal of Mathematics 207 (2015), 103–149.
  • J. Araújo, W. Bentz, and J. Konieczny. The Largest Subsemilattices of the Endomorphism Monoid of an Independence Algebra, Linear Algebra and Its Applications 458 (2014), 60–79.
  • W. Bentz, B. A. Davey, J. G. Pitkethly, and R. Willard. Dualizability of Automatic Algebras, Journal of Pure and Applied Algebra 218 (2014), 1324–1345.
  • W. Bentz and P. Mayr. Supernilpotence Prevents Dualizability, Journal of the Australian Mathematical Society 96 (2014), 1– 24.
  • W. Bentz, L. Sequeira. Taylor´s Modularity Conjecture Holds for Linear Idempotent Varieties, Algebra Universalis 71 (2014), 101– 107.
  • J. Araújo, W. Bentz, and P. J. Cameron. Groups Synchronizing a Transformation of Non-Uniform Kernel, Theoretical Computer Science 498 (2013) 1– 9.
  • E. Geangu, P. Hauf, R. Bhardwaj, and W. Bentz. Infant Pupil Diameter Changes in Response to Others' Positive and Negative Emotions. PLoS One 6(11):e27132, 2011.
  • W. Bentz. Optimal Packings of 13 and 46 Unit Squares in a Square. Electronic Journal of Combinatorics 17 (2): #R126, 2010.
  • W. Bentz. A Characterization of T3 Separation for a Special Class of Varieties. Algebra Universalis 56 (2007), 399 – 410.
  • W. Bentz. A Characterization of Hausdorff Separation for a Special Class of Varieties. Algebra Universalis 55 (Special Issue in Honor of Walter Taylor, 2006), 259 – 276.
  • W. Bentz and S. Bulman-Fleming. On Equalizer-flat Acts. Semigroup Forum 58 (1999), 5 – 16.
  • W. Bentz. Topological Implications in Varieties. Algebra Universalis, 42 (1999), 9 – 16.
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