Joe Moeller

I am a mathematician. I primarily study categories and use them to study network design and representation theory. I like Grothendieck fibrations, thermodynamics, representation stability, network theory, categorification, \mathbb F_1-algebra, combinatorics, linear logic…

jmoeller31415 at gmail dot com

Education

  • Ph.D. Mathematics, University of California, Riverside, 2020
    Thesis: The Grothendieck Construction in Categorical Network Theory
    Advisor: John Carlos Baez
  • M.S. Mathematics, University of California, Riverside, 2020
  • B.S. Pure Mathematics, University of California, Riverside, 2015
    manga cum laude

Employment

  • Montgomery College
    Adjunct Mathematics Instructor
    2024 – Present
  • University of Maryland
    Visiting Postdoctoral Associate
    2023 – 2024
  • National Institute of Standards and Technology
    National Research Council Postdoctoral Associate
    2021 – 2023

Preprints

Publications

  1. Schur functors and categorified plethysm
    with John Carlos Baez and Todd Trimble
    accepted in Higher Structures, 2023.
  2. Compositional thermostatics
    with John Carlos Baez and Owen Lynch
    Journal of Mathematical Physics, Vol. 64, Iss. 2, 2023.
  3. Network models from Petri nets with catalysts
    with John Carlos Baez and John Foley
    Compositionality, Volume 1, Issue 4, 2019.
  4. Noncommutative network models
    Mathematical Structures in Computer Science, Volume 30, Issue 1, pages 14-32, 2020
  5. Monoidal Grothendieck construction
    with Christina Vasilakopoulou
    Theory and Applications of Categories, Vol. 35, 2020, No. 31, pp 1159-1207.
  6. Network models
    with John Carlos Baez, John Foley, and Blake Pollard
    Theory and Applications of Categories, Vol. 35, 2020, No. 20, pp 700-744.