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, -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
- Schur functors and categorified plethysm
with John Carlos Baez and Todd Trimble
accepted in Higher Structures, 2023. - 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, pages 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.