• ‘Chasing’ The Diagram – The Use of Visualizations in Algebraic Reasoning, Review of Symbolic Logic, Volume 10, Issue 1, pp. 158-186, 2017.

 

  • Envisioning Transformations – The Practice of Topology (with V. Giardino), in: “Mathematical Cultures”. Ed: B. Larvor. Birkhäuser, pp. 25-50, 2016.

 

  • An inquiry into the practice of proving in low-dimensional topology (with V. Giardino), in: “From Logic to Practice”. Eds: G. Lolli, M. Panza, G. Venturi. Boston Studies in the Philosophy and History of Science, Volume 308, pp. 315-336, 2015.

 

  • Forms and roles of diagrams in knot theory (with V. Giardino), Erkenntnis, Volume 79, pp. 829-842, 2014. publications

 

  • Degrees of Essentiality for Secants of Knots, Ph.D. Thesis, Universitätsbibliothek der Technischen Universität Berlin, 2013.

 

  • Einführung in Meta-Vermeer: Experimentelle Studien über originale und manipulierte Bilder (with Y. Sakamoto), Das Licht im Zeitalter von Rembrandt und Vermeer, Ein Handbuch der Forschumgruppe Historische Lichtgefüge, pp. 50-53, Jovis, 2012.

 

  • Meta-Vermeer: A Topological Reinterpretation of a Masterpiece (with Y. Sakamoto). Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture, pp. 499-502, 2012.

 

WORK IN PROGRESS 

  • What is a Mathematical Diagram?
  • Aspects of Diagrammatic Reasoning in Category Theory (with Isar Goyvaerts)
  • Epistemology of Human Mathematics
  • Knots and Embeddings: New Tools for Incongruent Counterparts