Research

My research focuses on several topics at the intersection of algebra and category theory.

Publications

Click on any of the papers below to be directed to corresponding paper.

  1. Majority categories, Theory and Applications of Categories 34, 249–268, 2019.
  2. Products and coequalizers in pointed categories, Theory and Applications of Categories 34, 1386–1400, 2019.
  3. Characterizations of majority categories, Applied Categorical Structures 28, 113–134, 2020.
  4. M-coextensive objects and the strict refinement property, Journal of Pure and Applied Algebra 224 (10), 2020.
  5. (with D. Rodelo and Z. Janelidze) On difunctionality of class relations, Algebra Universalis 81 (19), 2020.
  6. Anticommutativity and the triangular lemma, Algebra Universalis 82 (19), 2021.
  7. (with P.-A. Jacqmin, Z. Janelidze) The matrix taxonomy of finitely complete categories, Theory and Applications of Categories 38, 737-790, 2022.
  8. (with P.-A. Jacqmin) Matrix taxonomy and Bourn localization, Applied Categorical Structures, 2022.
  9. Centrality and the commutativity of finite products with coequalisers, Theory and Applications of Categories 39 (13), 423-443, 2023.
  10. (with P.-A. Jacqmin, Z. Janelidze, E. van der Walt) On binary matrix properties, Quaestiones Mathematicae, 2023.
  11. (with D. Rodelo) Categorical aspects of congruence distributivity, Theory and Applications of Categories, Vol. 41, 2024, No. 17, pp 531-550.
  12. (with D. Bourn) On n-unital and n-Mal’tsev categories. Applied Categorical Structures, 32, 32 (2024). https://doi.org/10.1007/s10485-024-09789-6
  13. (with P.-A. Jacqmin) Partial Algebras and Implications of (Weak) Matrix Properties, Applied Categorical Structures, 32, 34, 2024.
Submitted for publication
In preparation
  • A characterisation of the commutativity of finite products with coequalisers in general varieties of algebras, preprint available.
  • (with D. Rodelo) Mitschke's theorem in regular categories.
  • (with E. Theart) On extensivity of morphisms in general categories.