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My research interests focus on commutative algebra and numerical algebraic geometry with computational aspects. In particular I am interested in both theory and applications of:
- Gröbner bases and Khovanskii/Sagbi bases
- Degenerations of varieties
- Scattering equations
- F-singularities of positive characteristic rings
Publications
Publications
Proudfoot-Speyer degenerations of scattering equations, ( with V. Borovik and S. Telen). [Le Matematiche, Special Issue on "Positive Geometry", 2025]
Mukai lifting of self-dual points in P^6, ( with L. Kayser). [Experimental Mathematics, 2025]
F-threshold of determinantal rings, ( with A. Moscariello, F. Romeo and J. Singh). [Communications in Algebra 2024]
Solving Equations Using Khovanskii Bases ( with M. Panizzut and S. Telen) [Journal of Symbolic Computation, Vol 126, 2025]
Preprints
Preprints
Join-meet binomial algebras of distributive lattices (with T. Hibi) [arXiv]
Diagonal F-thresholds for determinants and Pfaffians (with C. Raicu, F. Romeo and J. Singh) [arXiv]
Graphical Scattering Equations (with V. Borovik, B. Finkel, B. Sturmfels, B. Zacovic) [arXiv]
The SabiHomotopy.jl package for solving polynomial systems (with V. Borovik) [arXiv]
Master's Thesis
Master's Thesis
F-Singularities of Invariant Rings
“Gustavo Mezzetti” Award for best master thesis in Algebra.
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