About me

I am a second year graduate student working in the Applied Algebra and Data Analysis Research Group at the University of Osnabrück under the supervision of Paul Breiding.

Before that, I earned my master's degree at Moscow State University under the supervision of Sergey Gaifullin. I also worked as a research assistant in the Laboratory on Algebraic Transformation Groups.

Here, you will find information about my research, teaching and other professional activities. You can also check out my publications on Google Scholar or arXiv:

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Contact: vborovik [at] uni-osnabrueck.de
Fachbereich Mathematik/Informatik
Osnabrück Universität
Albrechtstr. 28a, 69/115
49076 Osnabrück

Preprints

9. Proudfoot-Speyer degenerations of scattering equations (2024, with B. Betti and S. Telen)
submitted to Le Matematiche

8. SAGBI and Gröbner Bases Detection (2024, with T. Duff and E. Shehu)
presented at MEGA 2024

7. Isolated torus invariants and automorphism groups of rigid varieties (2023, with S. Gaifullin)

Accepted and published articles

6. Coupled Cluster Degree of the Grassmannian
Journal of Symbolic Computation (2024)  [doi] [ArXiv]
(with Bernd Sturmfels and Svala Sverrisdóttir)

5. Additive actions on projective hypersurfaces with a finite number of orbits
Journal of Algebra and Its Applications (2024) [doi] [ArXiv]  
(with Alexander Chernov and Anton Shafarevich)

4. A short proof for the parameter continuation theorem
Journal of Symbolic Computation (2024) [doi] [ArXiv]
(with Paul Breiding)

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 (2023) [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)