Dr. Juan Orendain    

Postdoctoral fellow, part of the project Quantum information Structure of Space Time QISS 
QISS project Presentation
Centro de Ciencias Matemáticas CCM,
National University of Mexico UNAM. Campus Morelia.

︎︎︎August 2022: VAP at Case Western Reserve University

Research interests

Category theory and its applications to the following areas

Online profiles


  • Free globularly generated double categories II: The canonical double projection. Cahiers de topologie et géometrie différentielle catégoriques Vol. LXII (2021) Issue 3. pp 243-302 Preprint vers. Journal vers. 
  • Free globularly generated double categories I. Theory and Applications of Categories Vol. 34 No.42, pp 1343-138. Preprint vers. Journal vers.
  • Lifting bicategories into double categories: The globularly generated condition. Theory and Applications of Categories, Vol. 34, No. 4, pp 80-108. Preprint vers.  Journal vers.
  • Combinatorial dimensions: Indecomposability of certain local trivial extension algebras. Journal of Algebra an Applications, 13, No. 06. Preprint vers. Journal vers.
  • On direct sum decompositions of Krull-Schmidt artinian modules. Journal of Algebra and Applications, 13, No. 03. Preprint vers. Journal vers.
  • Lifting bicategories through the Grothendieck construction. Submitted. Preprint vers.
  • Cylinder topological quantum field theory: A categorical presentation of classical field theory and its symmetries. Preprint vers.
  • A note on the existence of essential indecomposable submodules of Ore domains. Preprint vers.

In preparation

  • w/R. Oeckl. Local Functorial Quantum Field Theory: Axiomatic presentation
  • w/R. Oeckl. Local Functorial Quantum Field Theory: Codimension 1 data and involutive functors
  • w/J.A. Zapata. A cubical approach to higher lattice gauge theory.
  • Length one double cateogries via End-indexigs.


List of past courses

Recent talks


Co-organizer of the UNAM categories seminar
Organizer of the Symmetric monoidal framed bicategories seminar


Past activities

List of past activities

Books, papers, etc.



Resources in applied category theory