Since June 2025, I am a postdoctoral researcher at the Max Planck Institute for Mathematics in the Sciences in Leipzig in the Nonlinear Algebra group. My work is funded by the UNIVERSE+ grant. My mentors are Bernd Sturmfels and Simon Telen.
Before that, I was a graduate student working in the Applied Algebra and Data Analysis Research Group at the University of Osnabrück under the supervision of Paul Breiding.
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.
My research interests are in the fields of commutative algebra, applied and numerical algebraic geometry and their applications to theoretical physics and chemistry. In particular, I like thinking about properties of Gröbner or Khovanskii bases, toric degenerations and counting solutions of polynomial systems.
Here, you will find information about my new research, teaching and other professional activities. You can also check out my publications on Google Scholar, ORCID or arXiv:
Contact: borovik [at] mis.mpg.de
Room: F306
Max Planck Institute for Mathematics in the Sciences
Inselstrasse 22
04103 Leipzig
I recently submitted my PhD thesis Thesis.pdf. My defence is scheduled on October 2.
Talk! The Annual 2025 ÖMG-DMV Meeting, September 1 – 5, 2025, Linz
Talk! Algebraic Models in Data Science and Quantum Systems, October 9 – 10, 2025, Augsburg
Organized "Gröbner, SAGBI, and Homotopy Continuation Methods for Polynomial Equations" minisymposium at the SIAM AG 2025, July 7-12, with B. Betti and P. Breiding.
Organized "Numerical February" on "Numerical Nonlinear Algebra in the Real World" at the CSBD & MPI-CBG,
February 3-6 2025, with S. Amethyst, P. Breiding, S. Eggleston and T. Çelik.