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.
I am interested in combinatorics in the interplay of algebra and geometry. Among the objects I like to study are matroids, graphs, polyhedra, Grassmannians and toric varieties.
Here are 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
- July 2026 -Tree metrics and log-concavity for matroids at FPSAC 2026.
- April 2026 - Inequalities for metric trees and matroids at the University of Kentucky Algebra Seminar.
- October 2025 - Lorentzian polynomials and triangular hyperfields at Arbeitsgemeinschaft: Combinatorial Hodge Theory.
- September 2025 - Inequalities for metric trees and matroids at the University of Massachusetts 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