Dr. Juan Orendain                                                                                                                                                                                                                                   



Postdoctoral fellow, part of the project Quantum information Structure of Space Time
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.




Teaching

Fall 2021: Tensor categories: An introduction. PCCM. [Course site]
Fall 2021: Tutoría: Sistema modalidad de aprendizaje UABC [Course site]

List of past courses



Recent talks





Organization

Co-organizer of the UNAM categories seminar
Co-organizer of the Petri Nets reading seminar



Activities

01/12/21 Talk of Alexei Davydov from Ohio University at the Categories Seminar UNAM


Past activities

List of past activities



Resources

Resources in applied category theory



Spanish version


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