I am a third year PhD student in Applied and Computational Mathematics (PACM) at Princeton University. I am advised by June Huh.
Previously I was a master's student at Universidad de los Andes under the guidance of Mauricio Velasco and an undergraduate in both Mathematics and Physics at UniAndes as well.
My current interests lie in the intersection of combinatorics, algebraic geometry and convex geometry, and their plentiful applications. Among the objects I like to study are matroids, graphs, polyhedra, Grassmannians and toric varieties.
Here is my CV and Google Scholar.
Preprints
- Extremal Graphs for the Lights Out Problem. With Julien Codsi, Alexander Divoux and Varun Sivashankar. 2026.
- Tree metrics and log-concavity for matroids. With Federico Ardila, Graham Denham, Chris Eur, June Huh and Botong Wang. 2026.
Publications
Code
- HarmonicPolya - Harmonic Hierarchies for the Sphere.
Talks and activities
- October 2025 - Lorentzian polynomials and triangular hyperfields at Arbeitsgemeinschaft: Combinatorial Hodge Theory.
- September 2025 - Inequalities for metric trees and matroids at the UMass Amherst Discrete Math Seminar.
- January 2025 - Three proofs of the reverse Khovanskii-Teissier Inequality at the IAS Special Year Seminar, recording.
- October 2024 - What is a toric variety? at Amplitudes and Combinatorics Synergy Event, Institute for Advanced Study.
- June 2024 - TA for Combina-torics at ECCO 2024.
- July 2023 - Harmonic Hierarchies for Polynomial Optimization on Homogeneous Spaces at SIAM AG23.
- July 2022 - Harmonic Hierarchies for Polynomial Optimization at ICCOPT 2022.
- June 2022 - Harmonic Hierarchies for Polynomial Optimization at MAPI 2.
Contact
Email: sergio[dot]cris[at]princeton[dot]edu
GitHub: SergioCS147
“Stand still.
The trees ahead and bushes beside you are not lost.
Wherever you are is called Here,
And you must treat it as a powerful stranger,
Must ask permission to know it and be known.
The forest breathes. Listen. It answers...”
- Excerpt from Lost, David Wagoner, 1971