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My main interests are in holomorphic dynamics, spanning rational, transcendental and arithmetic dynamics. I use tools from topology, complex analysis and Teichmüller theory.
Lately I have also been studying algorithmic fairness in voting systems - specifically the use of geometric and analytic tools to understand alternative voting systems such as ranked choice voting.
Along with Ryan Goh, I organize the BU Dynamical Systems seminar.
Vanessa Matus de la Parra and I also run the virtual Baby Mandelbrot Set Meetings for early-career complex dynamicists.
Embedding unicritical connectedness loci, Conform. Geom. Dyn. 28 (2024), 131-164, doi.org/10.1090/ecgd/389
A solution to the degree-d twisted rabbit problem (joint with Winarski), Ergodic Theory and Dynamical Systems. Published online 2025:1-16. doi:10.1017/etds.2025.137
Dynamical approximations of postsingularly finite entire maps (joint with Prochorov, Reinke), Submitted; arXiv
Dynamical approximation of postsingularly finite exponentials, arXiv
A cell decomposition for marked cycle curves (joint with Davis, Stoll and Tiozzo), arXiv
Donnay et al., (2025). VoteKit: A Python package for computational social choice research. Journal of Open Source Software, 10(109), 7477, https://joss.theoj.org/papers/10.21105/joss.07477
In August 2025, I helped organize the DKO Workshop and Summer School on Transcendental Thurston Theory in the UK.
During July and August 2025, I visited the Tata Institute of Fundamental Research and the Chennai Mathematical Institute in India.
In July 2026, I will be attending the Complex Dynamics: Interactions and Influences programme at INI, Cambridge, UK.
Complex dynamics: A Century on from Fatou and Julia, Isaac Newton Institute for the Mathematical Sciences, Cambridge, UK, July 2026
Joint Mathematics Meetings: Special Session on Mathematics of Decisions, Elections, and Games, Washington DC, January 2026
Tufts University Dynamical Systems and Ergodic Theory Seminar, December 2025
University of South Alabama Colloquium, November 2025
AMS Fall Central Sectional Meeting: Special Session on Algebraic and Arithmetic Dynamics, Saint Louis University, October 2025
Social Choice: Theory and Computation, An Interdisciplinary Conference on Voting, Representation, and Districting, Wellesley College, October 2025
Harvard University Informal Seminar: Dynamics, Geometry and Moduli Spaces, September 2025
Here is my CV.