# 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
• 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

### 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.