Dr. Juan Orendain    

                                                                                                                                                                                                                



Postdoctoral fellow, part of the project Quantum information Structure of Space Time
QISS project Presentation
Centro de Ciencias Matemáticas CCM,
National University of Mexico UNAM. Campus Morelia.
jorendain[at]matmor.unam.mx 




In the job market 2021-2022




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

05/24 Group meeting quantum gravity group CCM UNAM
05/30-06/04 MSRI workshop on Higher Categories and Categorification 
06/12-06/17 BIRS CMO workshop on Mathematical and Conceptual Aspects of Quantum Theory




Past activities

List of past activities



Books, papers, etc.

Bookshelf



Resources

Resources in applied category theory



Spanish version