About me

I am a first 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 broadly interested in applied algebra with a particular interest in differential algebra and real algebraic geometry.

Here is my CV.

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

List of publications

• 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), arXiv:2211.15490, 2022.
• 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