Malavika Mukundan

Home	Research	Teaching	Miscellaneous

Research interests

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.

Papers

Complex Dynamics

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

Combinatorial aspects of transcendental Thurston theory, In preparation

Symmetric Thurston maps (joint with Prochorov, Reinke), In preparation

Social Choice

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

Upcoming Travel

Towards the end of March 2026, I will be at the The Mathematics of Elections, Fairness, and Representation workshop at BIRS, Canada.
In the second half of June 2026, I am participating in the 2026 Early Career Complex Dynamics Workshop at the University of Michigan, Ann Arbor, and also visiting the University of Western Ontario, Canada.
Through July 2026, I will be attending the Complex Dynamics: Interactions and Influences programme at INI, Cambridge, UK.

Upcoming/Recent Talks

Complex dynamics: A Century on from Fatou and Julia, Isaac Newton Institute for the Mathematical Sciences, Cambridge, UK, July 2026
Spring Topology and Dynamics Conference, University of Alabama Birmingham, March 2026
College of William and Mary Colloquium, February 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.