My research looks at interactions of algebra and model theory. Specifically I look at solving differential equations using model theory and a model theoretic approach to difference Galois theory. On the more pure model theoretic side I work in geometric stablity theory looking at analyses in stable theories.
Splitting differential equations using Galois theory (with Léo Jimenez). Transactions of the American Mathematical Society, DOI, arXiv
Domination, fibrations and splitting (with Léo Jimenez). Journal of Symbolic Logic, accepted, arXiv
Host life-history traits influence the distribution of prophages and the genes they carry (with Tyler Pattenden and Lindi Wahl). Philosophical Transactions B. 377 (1842), 20200465. https://doi.org/10.1098/rstb.2020.0465
Algebraic independence of solutions to multiple Lotka-Volterra systems (with Yutong Duan and Léo Jimenez). Submitted, arXiv
Internality of autonomous algebraic differential equations (with Léo Jimenez). Submitted, arXiv
"A uniqueness condition for composition analyses" (a different condition) in the Pure and Applied Model Theory Special Session at the Mathematical Congress of the Americas, July 25th 20235 [slides]
"Splitting differential equations using Galois theory" in the Workshop on Model Theory, Algebraic Dynamics, and Differential-Algebraic Geometry at the Fields Institute, June 17th 2025 [video]
"A uniqueness condition for composition analyses" in the Model Theory Special Session at the 2025 North American Annual Meeting of the Association for Symbolic Logic, May 14th 2025 [slides]
"A uniqueness condition for composition analyses" in the Model Theory Seminar at the University of Illinois Chicago, March 18th 2025
"Internality of autonomous algebraic differential equations” at the Kolchin Seminar in Differential Algebra, Graduate Center CUNY, February 28th 2025 [slides]
"Splitting the differential logarithm map using Galois theory" in the Logic Seminar at The Ohio State University, March 19th 2024