I like to think about topology, probability, and computing. I am also invested in quantitative justice, studying civil and voting rights through mathematical, legal, and cultural scholarship. Previously, I worked as data scientist and contributor at the MGGG Redistricting Lab (now the Data and Democracy Lab), a nonpartisan research organization supported by the Tisch College of Civic Life at Tufts University (now the Brooks School of Public Policy at Cornell University). The Lab does research, writes software, and works with organizations to explore how math can be used in the name of civil rights. Over the past half-decade, we have curated a significant body of work, including academic research, technical reports, court testimony, and flagship sofware like GerryChain, Districtr, and GerryTools.

The dual graph of a Congressional plan, zoomed in on Oklahoma City, OK.
Whether we use exact or approximated local data, we get the same global outcomes.
A comparison of Glauber (left) and Swendsen-Wang (right) dynamics for the three-state Potts model on a \(64 \times 64\) sublattice of \(\mathbb Z^2\). Each Markov chain targets the Potts measure \( \mu(\sigma) \propto e^{-\beta \mathbf H(\sigma)}\), where \(\sigma\) is an assignment of colors to vertices and \(\mathbf H(\sigma)\) counts the number of edges whose colors disagree. In the gifs above, each frame represents a single \(\sigma\).
Bond percolation on a flat 2-torus \(\mathbb T^2\). In this experiment, we've "homologically percolated" when we encounter a giant cycle, a cycle that wraps itself around one of the "holes" in the torus. We find when these giant cycles are born by computing the persistent homology of the filtration \(\{T_k\}\) formed by adding edges in a uniformly random order. Giant cycles are equivalently essential cycles, basis elements of the first homology group \(\mathbf{H}_1(\mathbb T^2)\). Reproduced from here.
A giant cycle of \(\mathbf{H}_2(\mathbb T^4)\), where we percolate on 2-cells ("plaquettes") on the 4-fold torus \(\mathbb T^4\). Reproduced from here.

Publications

  1. Generalized cluster algorithms for Potts lattice gauge theory. Anthony E. Pizzimenti, Paul Duncan, and Benjamin Schweinhart. July 2025.
  2. ATEAMS: Algebraic Topology-Enabled AlgorithMs for Spin systems. Anthony E. Pizzimenti, Paul Duncan, and Benjamin Schweinhart. v2.0.1. July 2025.
  3. Fast Sequential Computation of Convex Regions. Anthony E. Pizzimenti. In Progress.
  4. A k-medoids approach to exploring districting plans. J. Grove, S. Oliveira, A. Pizzimenti, and D. Stewart. March 2023.
  5. Aggregating Community Maps. Chambers et al. Proceedings of the 30th International Conference on Advances in Geographic Information Systems (SIGSPATIAL), November 2022.
  6. Modeling the Fair Representation Act. Report. MGGG Redistricting Lab, July 2022.