Preprints
16. Degenerating Discriminants (2026, with C. Briand)
15. Constraining Conformal Correlators (2026, with C. de Korte, N. Meurrens and D. Pavlov)
14. Elimination ideals of Plücker ideals and algebras with straightening laws (2026, with T. Hibi)
13. Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties (2025, with H. Friedman, S. Hoşten and M. Pfeffer)
presented at MEGA 2026
12. On the construction of a counterexample to Strassen's rank additivity conjecture (2025, with C. Flavi, P. Pielasa, A. Shatsila, J. Song)
11. The SagbiHomotopy.jl package for solving polynomial systems (2025, with B. Betti)
presented at MEGA 2026
Accepted and published articles
10. Graphical Scattering Equations
to appear in Advances in Applied Mathematics [doi] [arXiv] [code]
(with Barbara Betti, Bella Finkel, Bernd Sturmfels, and Bailee Zacovic)
9. SAGBI and Gröbner Bases Detection
Proceedings of the ISSAC ’26 [doi] [arXiv] [code]
This paper received an honorable mention award at ISSAC ’26.
presented at MEGA 2024
(with Timothy Duff and Elima Shehu)
8. Additive actions on projective hypersurfaces with a finite number of orbits
Journal of Algebra and Its Applications (2026) [doi] [arXiv]
(with Alexander Chernov and Anton Shafarevich)
7. Proudfoot-Speyer degenerations of scattering equations
Le Matematiche (2025) [doi] [arXiv] [code]
(with Barbara Betti and Simon Telen)
6. Coupled Cluster Degree of the Grassmannian
Journal of Symbolic Computation (2025) [doi] [arXiv] [code]
(with Bernd Sturmfels and Svala Sverrisdóttir)
5. A short proof for the parameter continuation theorem
Journal of Symbolic Computation (2025) [doi] [arXiv]
(with Paul Breiding)
4. Isolated torus invariants and automorphism groups of rigid varieties
Journal of Algebra (2025) [doi] [arXiv]
(with Sergey Gaifullin)
3. On orbits of automorphism groups on horospherical varieties
Mathematische Nachrichten (2024) [doi] [arXiv]
(with Sergey Gaifullin and Anton Shafarevich)
2. Khovanskii bases for semimixed systems of polynomial equations –
Approximating stationary nonlinear Newtonian dynamics
Journal de Mathématiques Pures et Appliquées (2024) [doi] [arXiv]
(with Paul Breiding, Javier del Pino, Mateusz Michałek, Oded Zilberberg)
1. Commutative actions on smooth projective quadrics
Communications in Algebra (2022) [doi] [arXiv]
(with Sergey Gaifullin and Anton Trushin)
PhD Thesis
Flat Degenerations and Polynomial System Solving in Physics and Chemistry
University of Osnabrück (2025) [doi]
(supervised by Paul Breiding)