About me

I am a mathematician working as a senior postdoc in the Quantum Field Theory group of Johannes Henn at the Max Planck Institute for Physics. Before that I was a postdoc in the Real Algebraic Geometry group of Mario Kummer at TU Dresden. I did my PhD at the Max Planck Institute for Mathematics in the Sciences under the supervision of Bernd Sturmfels and Simon Telen. I received my undegraduate degree at Moscow State University, where my advisors were Gleb Pogudin and Yury Razmyslov. My work is in real and combinatorial algebraic geometry and its applications. A particular focus of my research is positive geometry and its applications to physics.

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

My e-mail is pavlov’at’mpp.mpg.de.

Where to find me

• DMV Annual Meeting, Sep 6-10, Konstanz.
• Annual Conference of Combinatorial Synergies, Sep 14-16, Frankfurt.
• UNIVERSE+ Annual Meeting, Sep 28-Oct 2, Cambridge.
• Positive Geometry beyond Physics, Oct 21-23, Leipzig.

Preprints

• Log Canonical Models and Positive Geometries (with Benjamin Hollering and Elizabeth Pratt), arXiv:2607.28368, 2026.
• Constraining Conformal Correlators (with Viktoriia Borovik, Claire de Korte and Nathan Meurrens), arXiv:2605.31491, 2026.
• Positive Genus Pairs from Amplituhedra (with Joris Koefler and Rainer Sinn), arXiv:2601.11142, 2026.
• Parke-Taylor Varieties (with Benjamin Hollering), arXiv:2509.09323, 2025.

Published articles

• Adjoints of Polytopes: Determinantal Representations and Smoothness (with Clemens Brüser and Mario Kummer), International Mathematics Research Notices, 2026. Preprint
• Positive Polytopes with Few Facets in the Grassmannian (with Kristian Ranestad), Experimental Mathematics, 2026. Preprint
• Combinatorics of m=1 Grasstopes (with Yelena Mandelshtam and Elizabeth Pratt), Combinatorial Theory, 2025. Preprint
• Algebraic Geometry of Quantum Graphical Models (with Eliana Duarte and Maximilian Wiesmann), Advances in Applied Mathematics, 2025. Preprint
• From Feynman Diagrams to the Amplituhedron: A Gentle Review (with Shounak De, Marcus Spradlin and Anastasia Volovich), Special volume on Positive Geometry, Le Matematiche, 2025. Preprint
• Hyperplane Arrangements in the Grassmannian (with Elia Mazzucchelli and Kexin Wang), Special volume on Positive Geometry, Le Matematiche, 2025. Preprint
• On real and observable rational realizations of input-output equations (with Sebastian Falkensteiner and J. Rafael Sendra), Systems and Control Letters, 2025. Preprint
• Santaló Geometry of Convex Polytopes (with Simon Telen), SIAM Journal on Applied Algebra and Geometry, 2025. Preprint
• Gibbs Manifolds (with Bernd Sturmfels and Simon Telen), Information Geometry, 2024. Preprint
• Logarithmically Sparse Symmetric Matrices, Beiträge zur Algebra und Geometrie, 2024. 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