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.

Recent talks

2022 Higher lattice gauge fields and cubical omega-groupods. Higher Structures Seminar, Feza Gürsey Center for Physics and Mathematics.
2022 Globularly generated double categories. Mathematics Colloquium Yeditepe University, Istambul, Turkey.
2022 Composicionalidad categórica: De modelos de epidemiología y diseño de software a gravedad cuántica. coloquio departamento de Matemáticas ITAM
2022 Quantum field theory in the GBF from TQFT. Quantum Foundations group meeting CCM UNAM
2022 Topological quantum field theory as symmetric monoidal functors quantum foundations group meeting CCM UNAM
2022: Categories, fields and information theory. quntum foundations group meeting CCM UNAM
2022: Operational semantics on Petri nets. Escuela Oaxaqueña de matemáticas. IMATE UNAM Unidad Oaxaca.

Past activities

List of past activities

Books, papers, etc.

Bookshelf

Resources

Resources in applied category theory