Papers
Elworth, M. (2027). Knowledge-How and Knowledge-That in the Construction and Use of Diagrams in Mathematics. In: Sobociński, P., et al. Diagrammatic Representation and Inference. Diagrams 2026. Lecture Notes in Computer Science (pp. 167–174), vol. 16833. Springer, Cham. (doi)
Elworth, M. (2026). Cognitive artifacts and their affordances in mathematical practice: cluster algebras as a case study. Synthese, 207(216), pp. 1-27. (SharedIt, doi, preprint)
A paper on conceptual change and concept formation in mathematics (submitted to a peer-reviewed journal)
Work-in-progress
A paper on reasoning with mathematical diagrams (in preparation)
A paper surveying the effectiveness of diagrams in mathematics (in preparation)
Thesis
Elworth, M. (2025). Mathematical Practice and Epistemology.