Preprints and publications

Preprints

• The category of necklaces is a test category. [arXiv]
  

• Templicial nerve of an A-infinity category. [arXiv]
  Joint with Violeta Borges Marques

Publications

• Nerves of enriched categories via necklaces. [pdf]
  Journal of the London Mathematical Society, Volume 113, Issue 6, e70573 (2026).
  


• Frobenius Templicial Modules and the dg-Nerve. [pdf]
  International Mathematics Research Notices, Volume 2025, Issue 13, rnaf178 (2025).
  Joint with Wendy Lowen
  


• Discrete vertices in simplicial objects internal to a monoidal category. [pdf]
  Applied Categorical Structures, Volume 33, 22 (2025).
  
  
• Deformations of Quasi-categories in Modules. [pdf]
  Journal of Pure and Applied Algebra, Volume 229, Issue 2, 107866 (2025).
  Joint with Violeta Borges Marques and Wendy Lowen
  


• Enriched Quasi-categories and the Templicial Homotopy Coherent Nerve. [pdf]
  Algebraic and Geometric Topology, 25, 1029–1074 (2025).
  Joint with Wendy Lowen
  


• The Category of Necklaces is Reedy Monoidal. [pdf]
  Theory and Applications of Categories, Volume 41, p.71-85 (2024).
  Joint with Violeta Borges Marques