I am currently a PhD candidate* at Rice University’s department of mathematics. My advisor is Chris Leininger. My research is in geometric group theory and makes frequent use of the terms “hyperbolicity”, “flat surface”, and “Veech group”. (*Almost. I’ve passed my candidacy exam, but I still have to turn in a form to the graduate school.)
I have hopes to expand this website someday to include other content. For now, here’s my CV. Last update: February 17, 2023
Areas of Interest
Anything that can be loosely described as “geometry”. Practically speaking, I mainly focus on geometric analysis and low-dimensional topology. My papers listed below address questions of surface area minimization under various constraints.
Contact
gmail: eliot.bonge
Google Scholar
ORCID
Research Gate
Web CV
Education
Rice University Department of Mathematics
Graduate Student, PhD program (2019 – present)
M.A. (2021), mathematics
NSF Graduate Research Fellow
Michigan State University College of Natural Science
B.S. (2018), advanced mathematics and statistics
Minors in actuarial science and German
Honors thesis in metric geometry
Alumni Distinguished Scholar
Graduated with honors and Phi Beta Kappa
Papers
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.
Talks and Posters
The Least Area Tetrahedral Tile of Space. 8th Heidelberg Laureate Forum 2021: Poster Session.
The least-area tetrahedral tile of space. Joint Mathematics Meetings 2018: AMS Contributed Paper Session on Lattices and Geometries. Details. MAA Outstanding Poster.
Double bubbles on the real line with log-convex density. Joint Mathematics Meetings 2018: Undergraduate Poster Session. Details. MAA Outstanding Poster.
Proving the least-area tetrahedral tile of space. Michigan State University Combinatorics and Graph Theory Seminar, November 2017.
Least-perimeter tiles of space. MAA MathFest 2017.
Selected Honors and Awards
NSF Graduate Research Fellowship (2018)
MAA Outstanding Poster Award for “Double Bubbles on the Real Line with Log-Convex Density” (2018)
MAA Outstanding Poster Award for “The Least-Area Tetrahedral Tile of Space” (2018)
Michigan State University Honors College Alumni Distinguished Scholarship (2014 – 2018)
Teaching (as instructor of record)
Multivariable calculus (summer 2021), Rice University MATH 212.