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My main interests are in holomorphic dynamics in one variable, in both rational and transcendental dynamics. My current focus is on transcendental Thurston theory, particularly the behavior of Thurston pullback operators. On a broader level, I am interested in 'dynamically' approximating transcendental maps by rational ones, and exploring relationships between various transcendental families. 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 and Borda, and techniques for generating random ranked ballots.
Along with Ryan Goh and Montie Avery, I organize the BU Dynamical Systems seminar.
1. Embedding unicritical connectedness loci, Conform. Geom. Dyn. 28 (2024), 131-164, https://doi.org/10.1090/ecgd/389
2. A solution to the degree-d twisted rabbit problem (joint with Winarski), Accepted at Ergod. Theory Dyn. Syst., arXiv
3. Dynamical approximations of postsingularly finite entire maps (joint with Prochorov, Reinke), Submitted; arXiv
4. Dynamical approximation of postsingularly finite exponentials, arXiv
5. A cell decomposition for marked cycle curves (joint with Davis, Stoll and Tiozzo), arXiv
1. 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 April 2026, I will be a participant in The Mathematics of Elections, Fairness, and Representation workshop at BIRS, Canada.
In July 2026, I will participate in the Complex Dynamics: Interactions and Influences workshop at INI, Cambridge, UK.
In October 2023, I was a Program Associate at the SLMath/MSRI semester in Algorithms, Fairness and Equity.
During June-August 2023, I worked as a research intern at the MGGG Redistricting Lab at Tufts University.
During Jan-May 2022, I was a Lauter Program Associate at the MSRI semester in complex dynamics.
AMS Fall Central Sectional Meeting: Special Session on Algebraic and Arithmetic Dynamics, Saint Louis University, MO, October 2025
Social Choice: Theory and Computation, An Interdisciplinary Conference on Voting, Representation, and Districting, Wellesley College, October 2025
JHH80 Dynamical Developments: Degenenerations of Flat Surfaces and Rational Maps, Institut de Mathématiques de Toulouse, June 2025
Topics in Complex Dynamics 2025: Connections to Geometry and Analysis, Universitat de Barcelona, June 2025
Degeneration Techniques for Rational Maps, Warwick Mathematics Institute, May 2025
New England Dynamics Seminar, April 2025
Brandeis University Everytopic Seminar, April 2025
Harvard University Algebraic Dynamics Seminar, October 2024
Boston University Dynamics Seminar, September 2024
IMS and SUNY Stony Brook Dynamical Systems Seminar, August 2024
Early Career Complex Dynamics Workshop, Indiana University Bloomington, July 2024
Here is my CV.