About me

I am a second year PhD student at the Max Planck Institute for Mathematics in the Sciences in Leipzig under the supervision of Bernd Sturmfels and Simon Telen. Before that, I was a masters student at Moscow State University, where my advisors were Gleb Pogudin and Yury Razmyslov. I am primarily interested in real algebraic geometry and its applications to physics, in particular, to quantum information and particle scattering. My other mathematical interests include differential algebra and algebraic combinatorics.

Here is my CV. You can also view my Google Scholar and ORCID pages.

My e-mail is pavlov@mis.mpg.de

List of publications

• Santaló Geometry of Convex Polytopes (with Simon Telen), arXiv:2402.18955, 2024.
• Algebraic Geometry of Quantum Graphical Models (with Eliana Duarte and Maximilian Wiesmann), arXiv:2308.11538, 2023.
• Combinatorics of m=1 Grasstopes (with Yelena Mandelshtam and Elizabeth Pratt), arXiv:2307.09603, 2023.
• On real and observable realizations of input-output equations (with Sebastian Falkensteiner and J. Rafael Sendra), arXiv:2303.16799, 2023.
• Logarithmically Sparse Symmetric Matrices, arXiv:2301.10042, 2023.
• Gibbs Manifolds (with Bernd Sturmfels and Simon Telen), Information Geometry, 2023. Preprint
• On realizing differential-algebraic equations by rational dynamical systems (with Gleb Pogudin), ACM International Symposium on Symbolic and Algebraic Computation (ISSAC), 2022. Preprint
• From algebra to analysis: new proofs of theorems by Ritt and Seidenberg (with Gleb Pogudin and Yury Razmyslov), Proceedings of the American Mathematical Society, 2022. Preprint