CV

Here’s a pdf version.

Education

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

Publications and Preprints

Check out my research page.

Talks

• 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
• 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
• 26 August 2025: Spoke in Prof. Fairbanks’ seminar at UF on Categorical Lyapunov Theory
• A categorical framework for Lyapunov stability, American Control Conference, Denver CO, 7 Jul 2025
• Lyapunov’s theorem for coalgebras, CALCO 2025, Glasgow, Scotland, 17 Jun 2025
• A categorical approach to Lyapunov stability, 8th International Conference on Applied Category Theory, Gainesville FL, 6 Jun 2025
• Categorical Lyapunov theory, Joint Mathematics Meeting 2025, Seattle WA, 8 Jan 2025
• A categorical approach to Lyapunov stability, Information, Geometry, and Physics seminar, Caltech, 16 Oct 2024
• Syntax and semantics as a strategy for applying category theory, Ames-Burdick group seminar, Caltech, 15 Mar 2024
• The Grothendieck construction for linearly distributive categories, Joint Mathematics Meeting 2023, Boston MA, 7 Jan 2023
• How the Grothendieck construction treats categories equipped with extra structure, University of Louisiana, Lafayette, Topology Seminar, 18 Nov 2022
• Schur functors and categorified plethysm, Johns Hopkins University, Category Theory Seminar, 8 Dec 2021
• Schur functors and categorified plethysm, University of Nevada, Reno, 3 Dec 2021
• Monoidal Grothendieck construction, Open House on Category Theory, 18 Nov 2021
• Schur functors and categorified plethysm, Category Theory Virtual Novemberfest, 13 Nov 2021
• Combinatorial Motivation for Category Theory, Talk Math With Your Friends seminar, 21 Oct 2021
• Abstract Schur Functors, Category Theory 20->21, 30 Aug – 4 Sept 2021
• Noncommutative Network Models, ACT 2021, 12-16 July 2021 [slides]
• 2-Plethories, Categories and Companions Symposium, 8-12 June 2021 [slides, video]
• Network Operads from Monoidal Species, Applied Topology in Albany seminar, 23 April 2021
• Network Models, UNAM category theory seminar, 14 Oct 2020 [video]
• Catalysts in Petri Nets, ACT 2020
• Monoidal Grothendieck Construction, MIT categories seminar [slides] [video]
• Monoidal Grothendieck Construction, TICT 2020 [slides]
• Catalysts in Petri Nets, QPL 2019 [slides]
• Monoidal Grothendieck Construction, SYCO 4 [slides]
• Monoidal Grothendieck Construction, Math Connections 2019 [slides]
• Odum’s Eneregese, Combinatorial Species, and Network Models, UCR Network Theory Seminar, Winter 2019 [slides, youtube]
• Categorical Network Theory, UCSB Quantum Algebra & Topology Seminar, Fall 2018 [slides]
• Noncommutative Network Models, SYCO1, Fall 2018 [slides]
• Noncommutative Network Models, UCR Network Theory Seminar, Spring 2018
• Generalized graph products in network theory, UCR Graduate Student Seminar, Spring 2018
• Operads for Modelling Networks, AMS Fall Western Sectional Meeting 2017, Applied Category Theory Special Session [slides]
• The Grothendieck Construction and Symmetric Monoidal Categories, UCR Graduate Student Seminar, Spring 2017

Organization

• Mentor, ACT Adjoint School 2022
• ACT2021 Program Committee member, Spring 2021
• Co-organizer, Exploring Equity in Mathematics Seminar, UCR Math department, Winter Quarter 2020
• Co-organizer, AMS 2019 Fall Western Sectional Meeting Special Session on Applied Category Theory
• Co-organizer, Math Connections 2018
• Co-organizer, UCR Math Department’s Graduate Student Seminar, Fall 2017 – Spring 2018
• Organizer, Category Theory Seminar at UCR, Spring 2017

Mentoring

• From July 2020 to the present, Ethan Kowalenko and I have worked with Sadaf Kadir, an undergrad at UCR double majoring in math and physics. Due to her interest in physics, Ethan’s interest in algebra, and my interest in category theory, we decided to work on topological quantum field theories. Sadaf has now graduated from UCR and will be attending Stanford in the fall. She wants to study quantum mechanics and astrophysics. Sadaf is incredibly talented and energetic, and will be successful wherever she goes and whatever she does.
• Mentor for Undergraduate Research Project, Spring 2020, UCR. Ethan Kowalenko and I led a group of three undergraduate students in studying category theory and combinatorial species.
• Mentor for Undergraduate Research Project, Spring 2017, UCR. John Simanyi and I led a group of four undergraduate students in studying how the geometry of large matrices affects rank, with applications in image processing.

Additional Activities

• Graduate Student Researcher, Metron Scientific Solutions Inc, Reston, VA. Working on DARPA‘s Complex Adaptive System Composition and Design Environment (CASCADE) program. Summer 2017 – Summer 2019.
• Contributor to the OTIM Project
• Participant of the Applied Category Theory Adjoint School 2018
• Vice President of UCR’s Graduate Student Chapter of the American Mathematical Society, Fall 2017 – Summer 2018

Teaching Experience

I have been a teaching assistant for the following courses at UCR.

Lower Division

• Precalculus
• First Year Calculus
• First Year Calculus for Life Sciences
• Ordinary Differential Equations
• Discrete Structures
• Applied Linear Algebra

Upper Division

• Combinatorics
• Optimization
• Probability & Statistics
• Linear Algebra II
• Real Analysis
• Complex Analysis
• Intro to Sets and Proof