Future
In this section, I list both events at which I will speak and events which I’m simply interested in attending.
- 13-18 July 2026: Category Theory, Baltimore, MD
- 6-10 July 2026: Applied Category Theory, Tallinn, Estonia
- June 2026: 33rd Foundational Methods in Computer Science Workshop, St. Francis Xavier University, Canada
- 11 June 2026: Speaking in the Topos Institute Colloquium (virtual)
- 26-29 May 2026: American Control Conference 2026, New Orleans, LA
- 11-14 May 2026: Hybrid Systems: Computation and Control, Saint Malo, France
- 19 January 2026: speaking on “Schur functors and categorified plethysm” in the Tropical mathematics and machine learning Seminar, Yonsei University, Seoul, South Korea (virtual)
- 4-7 January 2026: speaking at the Joint Mathematics Meeting, Washington, DC
Present
- Postdoc in the AMBER Lab at Caltech. Using category theory to develop new methods in control.
- Mentoring a Caltech undergrad in category theory.
- Mentoring two community college students through the Caltech Connection program.
Past
Caltech Postdoc
- 9 December 2025: Spoke in the Control Architecture Theory Workshop at the Conference on Decision and Controls, Rio de Janeiro, Brazil
- 24 November 2025: Spoke in the Topology Seminar at Bilikent University, Türkiye
- 13 November 2025: Submitted a secret paper to a conference (secret because of double-blind review)
- 12 November 2025: Spoke in the General Algebra, Logic and Artificial Intelligence Seminar at Chapman University, CA
- 25-26 October 2025: Spoke in the Category Theory Octoberfest, virtual
- 2 October 2025: Colored Petri nets are monoidal double functors on the arxiv
- 12 September 2025: Spoke at the AFOSR MURI Review Meeting on a categorical framework for hybrid and control systems, George Washington University
- 26 August 2025: Spoke in James Fairbanks’ seminar at UF on Categorical Lyapunov Theory
- 7 July 2025: Spoke at the American Control Conference 2025, Workshop on Compositional Decision Making
- 17 June 2025: Spoke at CALCO 2025 at University of Strathclyde, Glasgow, Scotland about Lyapunov’s theorem for coalgebras
- 6 June 2025: Spoke at Applied Category Theory Conference 2025 on Categorical Lyapunov Theory
- 29 May 2025: Categorical Lyapunov Theory II: Stability of Systems on the arxiv
- 23 Feb 2025: Categorical Lyapunov Theory I: Stability of Flows on the arxiv
- 8 Jan 2025: spoke at the Joint Mathematics Meeting 2025 Special Session on Applied Category Theory about Categorical Lyapunov Theory
- 16 Oct 2024: spoke in the Information Geometry and Physics seminar at Caltech about Categorical Lyapunov Theory
- 1 June 2024: Started postdoc at Caltech
Montgomery College Adjunct
- May 2024: Schur functors and categorified plethysm with John Baez and Todd Trimble published in Higher Structures
- Spring 2024: Taught Statistics, Differential Equations, and Trigonometry
NIST NRC Postdoc
- 14-18 Aug 2023: Finding the Right Abstractions for Healthy Systems II, Berkeley, CA
- Local Organizing Chair for ACT 2023
- 20 Feb 2023: position switched to postdoc at NIST through UMD
- 9 Feb 2023: Schur functors and categorified plethysm with John Baez and Todd Trimble accepted in Higher Structures
- 9 Feb 2023: Compositional thermostatics with John Baez and Owen Lynch published in the Journal of Mathematical Physics
- 18 Jan 2023: Compositional thermostatics with John Baez and Owen Lynch accepted to the Journal of Mathematical Physics
- 7 Jan 2023: spoke at the Joint Mathematics Meeting in Boston, MA on The Grothendieck construction for linearly distributive categories
- 18 Nov 2022: spoke at the University of Louisiana, Lafayette’s topology seminar on How the Grothendieck construction treats categories equipped with extra structure.
- 3-4 Nov 2022: Compositional Structures in Systems Engineering and Design, hosted at NCCoE in Rockville, Maryland
- 8 Sept 2022: Extensions of representation stable categories on the arxiv
- Spring-Summer 2022: Mentor for a research group in the ACT 2022 Adjoint School Research Week at University of Strathclyde, Glasgow, Scotland, project on compositional thermodynamics
- Spring 2022: on the ACT22 program committee
- 11-13 March 2022: scheduled to speak at AMS Spring Southeastern Sectional Meeting at UVA, special session on homotopy theory [CANCELLED]
- 18 Feb 2022: Speaking in George Washington University’s Combinatorics & Algebra Seminar
- 8 Dec 2021: spoke at Johns Hopkins University’s Category Theory Seminar about Schur functors and categorified plethysm
- 3 Dec 2021: spoke at University of Nevada, Reno’s Algebraic & Geometric Topology Seminar about Schur functors and categorified plethysm
- 22 Nov 2021: Compositional Thermostatics on the arxiv
- 18 Nov 2021: spoke in Open House in Category Theory about Monoidal Grothendieck construction
- 12-14 Nov 2021: spoke at Category Theory Virtual Novemberfest about 2-plethories
- 21 Oct 2021: Spoke at the Talk Math With Your Friends seminar
- 30 Aug – 4 Sept 2021: Spoke via Zoom at CT 2021 in Genova, Italy about Schur functors
- 12-16 July 2021: Spoke via Zoom at ACT 2021 in Cambridge, UK about Noncommutative network models [slides]
- 8-12 June 2021: Spoke via Zoom at Categories and Companions Symposium about 2-plethories [slides, video]
- 1 June 2021: Schur functors and categorified plethysm on the arxiv
- Spring 2021: on the ACT2021 Program Committee
- 23 April 2021: Spoke via Zoom in Applied Topology in Albany seminar, “Network operads from monoidal species”
- March 2021: my mentee Sadaf Kadir accepts a PhD position at Stanford in the physics department
- 16 Feb 2021: started NRC Postdoc at NIST
UCR – Graduate School
- 19 Jan 2021: Thesis on the arXiv, The Grothendieck Construction in Categorical Network Theory
- 18 Dec 2020: Graduate from UCR with Ph.D. in Mathematics
- 18 Nov 2020: Defended thesis via Zoom
- 14 Oct 2020: spoke via Zoom in UNAM category theory seminar [video]
- 22 July 2020: Monoidal Grothendieck construction published in TAC
- 6 July 2020: spoke via Zoom at ACT 2020 at MIT
- 27 May 2020: Network Models published in TAC
- Spring quarter, 2020: Co-organized the ACT@UCR online seminar
- Spring quarter, 2020: mentored via Zoom an undergrad research project on combinatorial species
- 23 April 2020: spoke in MIT categories seminar [slides] [video]
- 17 March 2020: Network Models accepted to Theory and Applications of Categories
- 16 March 2020: Monoidal Grothendieck Construction accepted to Theory and Applications of Categories
- 11-13 March 2020: spoke at Topics in Category Theory 2020 in Edinburgh [slides]
- Winter quarter, 2020: Co-organized UCR Math Equity Seminar
- 25 December 2019: Network models from Petri nets with catalysts published in Compositionality
- 26 November 2019: Network models from Petri nets with catalysts accepted to Compositionality
- 11 November 2019: Noncommutative network models published in MSCS
- 9-10 November 2019: co-organized AMS Fall Western Sectional Meeting Special Session on Applied Category Theory
- 8 November 2019: UCR Mathematics Workshop for Excellence and Diversity
- 14 October 2019: version 3 of Network models from Petri nets with catalysts on the arXiv
- 11 October 2019: Introduction to Operads talk in UCR Math Grad Student Seminar
- 16 July 2019: Noncommutative network models accepted in MSCS
- 26 June 2019: version 2 of Network models from Petri nets with catalysts on the arXiv
- 10-14 June 2019: spoke at QPL 2019 [slides]
- 22-23 May 2019: spoke at SYCO 4 [slides]
- 18 May 2019: spoke at Math Connections 2019 [slides]
- 16 April 2019: Passed my Oral Exam [slides]
- 7 April 2019: version 1 of Network models from Petri nets with catalysts on the arXiv
- 12 March 2019: spoke at UCR Applied Category Theory Seminar [slides]
- 18 February 2019: Version 2 of Monoidal Grothendieck Construction on the arXiv
- 27-28 November 2018: attended CASCADE meeting at the DARPA headquarters in Arlington, Virginia
- 2 October 2018: spoke at the Quantum Algebra & Topology seminar at UCSB [slides]
- 20-21 September 2018: spoke at SYCO 1 in Birmingham, UK [slides]
- 3 September 2018: Version 1 of Monoidal Grothendieck Construction on the arXiv
- 23 April – 4 May 2018: in Leiden, the Netherlands for the Applied Category Theory Adjoint School and Workshop [photos]
- 25 May 2018: Version 2 of Noncommutative Network Models on the arXiv
- 19 April 2018: Version 1 of Noncommutative Network Models on the arXiv
- 12 January 2018: Version 2 of Network Models on the arXiv
- 8-9 November 2017: attended CASCADE meeting at the DARPA headquarters in Arlington, Virginia
- 5 November 2017: spoke at the Applied Category Theory Special Session of the AMS Western Sectional Meeting [slides]
- 31 October 2017: Version 1 of Network Models on the arXiv
- 15 – 17 April 2016: attended USTARS 2016
- Fall 2015: Started grad school at UCR
Joe Moeller 