Joe Moeller

I am currently a Visiting Postdoctoral Associate at the University of Maryland College Park. I 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
    Adviser: John Carlos Baez
  • M.S. Mathematics, University of California, Riverside, 2020
  • B.S. Pure Mathematics, University of California, Riverside, 2015
    manga cum laude

Employment

  • University of Maryland, College Park
    Visiting Postdoctoral Associate
    2023 – Present
  • National Institute of Standards and Technology
    National Research Council Postdoctoral Associate
    2021 – 2023

Preprints

Publications

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