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.

Submitted for publication
In preparation
  • M. Hoefnagel, A characterisation of the commutativity of finite products with coequalisers in general varieties of algebras, preprint available.
  • M. Hoefnagel, D. Rodelo, Mitschke's theorem in regular categories.
  • M. Hoefnagel, E. Theart, On extensivity of morphisms in general categories.
Talks / Posters

Click on the text below for the slides.

  • On the commutativity of binary products and coequalisers, International Conference in Category Theory (CT2023), 2023.
  • Matrix taxonomy of finitely complete categories, Annual congress of the South African Mathematics Society, 2022.
  • On the commutativity of binary products and coequalisers, Annual congress of the South African Mathematics Society, 2022.
  • Matrix taxonomy, Category Theory Seminar at UCLouvain, 2022.
  • Deciding implications of matrix properties, Centre for mathematics, University of Coimbra, 2021.
  • A classification of left exact (finitely complete) categories (motivated from universal algebra), Panglobal Algebra and Logic Seminar, 2020.
  • Coextensivity and the strict refinement property, Annual congress of the South African Mathematics Society, 2019.
  • From the commutativity of products and coequalizers to Gumm's shifting lemma, Categorical structures in Algebra, Topology and Logic, Stellenbosch University, 2019.
  • M-coextensivity and the strict refinement property, Talk given at CT2019 the international conference in category theory, Edinburgh, 2019.
  • A Krull-Schmidt type theorem for direct decompositions in majority categories, Annual congress of the South African Mathematics Society, Potchefstroom 2017.
  • Majority categories, 5th Workshop in Categorical Methods in non-Abelian algebra, Lovain la Neuve, Belgium 2017.