Research¶
Generally speaking, I am interested in understanding various topics in algebra from the categorical point of view, as well as various topics in category theory from the algebraic point of view.
Publications¶
Click on any of the papers below to be directed to corresponding paper.
 M. Hoefnagel, Centrality and the commutativity of finite products with coequalisers, Theory and Applications of Categories 39 (13), 423443, 2023.
 M. Hoefnagel, P.A. Jacqmin. Matrix taxonomy and Bourn localization, Applied Categorical Structures, 2022.
 M. Hoefnagel, P.A. Jacqmin, Z. Janelidze. The matrix taxonomy of finitely complete categories. Theory and Applications of Categories 38,737790, 2022.
 M. Hoefnagel. Anticommutativity and the triangular lemma. Algebra Universalis 82 (19), 2021.
 M. Hoefnagel, D. Rodelo and Z. Janelidze. On difunctionality of class relations. Algebra Universalis 81 (19), 2020.
 M. Hoefnagel. Mcoextensive objects and the strict refinement property. Journal of Pure and Applied Algebra 224 (10), 2020.
 M. Hoefnagel. Characterizations of majority categories. Applied Categorical Structures 28, 113–134, 2020.
 M. Hoefnagel. Products and coequalizers in pointed categories. Theory and Applications of Categories 34, 1386–1400, 2019.
 M. Hoefnagel. Majority categories. Theory and Applications of Categories 34, 249–268, 2019.
Submitted for publication¶

M. Hoefnagel, P.A. Jacqmin, When a matrix condition implies the Mal'tsev property, arXiv:2208.09516.

M. Hoefnagel, P.A. Jacqmin, Z. Janelidze, E. Van der Walt. On binary matrix properties.
In preparation¶
 M. Hoefnagel, On the commutativity of products with coequalisers in general varieties.
 M. Hoefnagel and P.A. Jacqmin, A note on the atomicity of arithmeticity.
 M. Hoefnagel and P.A. Jacqmin, Partial algebras and implications of (weak) matrix properties.
 M. Hoefnagel and D. Rodelo, On Jonsson categories.
Talks / Posters¶
Click on the text below for the slides.
 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.
 Mcoextensivity and the strict refinement property, Talk given at CT2019 the international conference in category theory, Edinburgh, 2019.
 A KrullSchmidt 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 nonAbelian algebra, Lovain la Neuve, Belgium 2017.