I am a mathematician. I’m currently a postdoc at Caltech in the AMBER Lab. I’ve previously done postdocs at NIST and the University of Maryland. Before that, I got my PhD at UC Riverside under John Baez. I primarily study categories and use them to study networks, systems, and representations. I like Grothendieck fibrations, thermodynamics, control theory, representation stability, categorification, dynamical systems, 
arXiv: http://arxiv.org/a/moeller_j_2
jmoeller31415 at gmail dot com
Preprints
- Colored Petri nets are monoidal double functors
with Jade Master - Categorical Lyapunov Theory II: Stability of Systems
with Aaron Ames and Sebastien Mattenet - Categorical Lyapunov Theory I: Stability of Flows
with Aaron Ames and Paulo Tabuada
Publications
- Extensions of representation stable categories
New York Journal of Mathematics, Vol. 31, 2025, pp 1702-1727. - 2-rig extensions and the splitting principle
with John Carlos Baez and Todd Trimble
Theory and Applications of Categories, Vol. 44, 2025, No. 31, pp 964-1019. - Schur functors and categorified plethysm
with John Carlos Baez and Todd Trimble
Higher Structures, Vol. 8, Iss. 1, 2024, pp 1-53. - Compositional thermostatics
with John Carlos Baez and Owen Lynch
Journal of Mathematical Physics, Vol. 64, Iss. 2, 2023. - Network models from Petri nets with catalysts
with John Carlos Baez and John Foley
Compositionality, Volume 1, Issue 4, 2019. - Noncommutative network models
Mathematical Structures in Computer Science, Volume 30, Issue 1, pp 14-32, 2020 - Monoidal Grothendieck construction
with Christina Vasilakopoulou
Theory and Applications of Categories, Vol. 35, 2020, No. 31, pp 1159-1207. - Network models
with John Carlos Baez, John Foley, and Blake Pollard
Theory and Applications of Categories, Vol. 35, 2020, No. 20, pp 700-744.
Joe Moeller 