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.
jorendain[at]matmor.unam.mx 




︎︎︎August 2022: VAP at Case Western Reserve University




Research interests

Category theory and its applications to the following areas




Online profiles





Publications/preprints

  • 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.



Teaching

List of past courses




Recent talks





Organization

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




Activities





Past activities

List of past activities




Books, papers, etc.

Bookshelf




Resources

Resources in applied category theory