Eliot Bongiovanni

eliot.bonge@gmail.com
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Click here to download a copy of my CV (PDF).


I am currently a Postdoctoral Assistant Professor at University of Michigan. My postdoctoral mentor is Alex Wright. I earned my PhD in mathematics in 2025 from Rice University, where my advisor was Chris Leininger. My recent research concerns “hierarchical hyperbolicity”, a generalization of Gromov’s notion of hyperbolicity.

Last update: October 20, 2025

Research

I am interested in “geometry” in a broad sense, but I mainly focus on geometric analysis and low-dimensional topology. Most of my papers listed below address questions of surface area minimization under various constraints. The most recent paper represents my current work in geometric group theory.

Preprints

Characterizing hierarchically hyperbolic free by cyclic groups. Eliot Bongiovanni, Pritam Ghosh, Funda Gültepe, Mark Hagen; preprint (2025).

Papers

Extensions of finitely generated Veech groups. Eliot Bongiovanni; (2024). To appear in Algebraic & Geometric Topology. Full text on arXiv.

The least-area tetrahedral tile of space. Eliot Bongiovanni, Alejandro Diaz, Arjun Kakkar, Nat Sothanaphan; Geometriae Dedicata (2019). Full text on springer.com.

Isoperimetry in surfaces of revolution with density. Eliot Bongiovanni, Alejandro Diaz, Arjun Kakkar, Nat Sothanaphan; Missouri Journal of Mathematical Sciences: Vol. 30, Iss. 2 (2018), 150-165. Full text on projecteuclid.org.

Double bubbles on the real line with log-convex density. Eliot Bongiovanni, Leonardo Di Giosia, Alejandro Diaz, Jahangir Habib, Arjun Kakkar, Lea Kenigsberg, Dylanger Pittman, Nat Sothanaphan, Weitao Zhu; Analysis and Geometry in Metric Spaces: Vol. 6: Iss. 1, 64-88 (2018). Full text on degruyter.com.

The convex body isoperimetric conjecture in R^2. John Berry, Eliot Bongiovanni, Wyatt Boyer, Bryan Brown, Matthew Dannenberg, Paul Gallagher, David Hu, Jason Liang, Alyssa Loving, Zane Martin, Maggie Miller, Byron Perpetua, Sarah Tammen, and Yingyi Zeng; Rose-Hulman Undergraduate Mathematics Journal: Vol. 18: Iss. 2 (2017). Full text on scholar.rose-hulman.edu.