Dr. Dmitrii Pavlov
He/him
Senior Postdoc
Max Planck Institute for Physics, Garching, Germany
I completed my undergraduate studies in mathematics at Moscow State University in 2022. From 2022 to 2024 I was a PhD student at the Max Planck Institute for Mathematics in the Sciences in Leipzig, where my supervisors were Bernd Sutrmfels and Simon Telen. After spending a year as a postdoc in the Real Algebraic Geometry group of Mario Kummer at TU Dresden, I joined the QFT group of Johannes Henn at the Max Planck Institute for Physics as a senior postdoc in 2025.
Research
Areas:
Mathematics
Research interests:
My research is in real and combinatorial algebraic geometry and its applications. A particular focus of my research is positive geometry, its mathematical foundations and applications in physics. I am also very interested in finding new applications of positive geometry, bringing it beyond physics.
Publications
Publications
- C. Brüser, M. Kummer, and D. Pavlov, "Adjoints of Polytopes: Determinantal Representations and Smoothness," Int. Math. Res. Not., No. 2, 31 p., 2026. https://doi.org/10.1093/imrn/rnaf386
- D. Pavlov and K. Ranestad, "Positive Polytopes with Few Facets in the Grassmannian," Exp. Math., pp. 1–14, 2026. https://doi.org/10.1080/10586458.2025.2595003
- Y. Mandelshtam, D. Pavlov, and E. Pratt, "Combinatorics of m = 1 Grasstopes," Comb. Theory 5, No. 2, Paper No. 9, 21 p., 2025. https://doi.org/10.5070/C65265411
- E. Duarte, D. Pavlov, and M. Wiesmann, "Algebraic Geometry of Quantum Graphical Models," Adv. Appl. Math. 170, Article ID 102930, 25 p., 2025. https://doi.org/10.1016/j.aam.2025.102930
- S. De, D. Pavlov, M. Spradlin, and A. Volovich, "From Feynman Diagrams to the Amplituhedron: A Gentle Review," Special volume on Positive Geometry, Matematiche (Catania) 80, No. 1, 233–254, 2025. https://doi.org/10.4418/2025.80.1.9
- E. Mazzucchelli, D. Pavlov, and K. Wang, "Hyperplane Arrangements in the Grassmannian," Special volume on Positive Geometry, Matematiche (Catania) 80, No. 1, 387–408, 2025. https://doi.org/10.4418/2025.80.1.16
- S. Falkensteiner, D. Pavlov, and R. Sendra, "On Real and Observable Rational Realizations of Input-Output Equations," Syst. Control Lett. 198, 11 p., 2025. https://doi.org/10.1016/j.sysconle.2025.106059
- D. Pavlov and S. Telen, "Santaló Geometry of Convex Polytopes," SIAM J. Appl. Algebra Geom. 9, No. 1, 58–82, 2025. https://doi.org/10.1137/24M1643566
- D. Pavlov, B. Sturmfels, and S. Telen, "Gibbs Manifolds," Inf. Geom. 7, Suppl. 2, 691–717, 2024. https://doi.org/10.1007/s41884-023-00111-2
- D. Pavlov, "Logarithmically Sparse Symmetric Matrices," Beitr. Algebra Geom. 65, No. 4, 907–922, 2024. https://doi.org/10.1007/s13366-024-00753-y
- D. Pavlov and G. Pogudin, "On Realizing Differential-Algebraic Equations by Rational Dynamical Systems," Proceedings of the 47th International Symposium on Symbolic and Algebraic Computation (ISSAC'22), Villeneuve-d'Ascq, France, July 4–7, 2022. New York, NY: Association for Computing Machinery (ACM), 119–128, 2022. https://doi.org/10.1145/3476446.3535492
- D. Pavlov, G. Pogudin, and Yu. Razmyslov, "From Algebra to Analysis: New Proofs of Theorems by Ritt and Seidenberg," Proc. Am. Math. Soc. 150, No. 12, 5085–5095, 2022. https://doi.org/10.1090/proc/16065
Preprints
- J. Koefler, D. Pavlov, and R. Sinn, "The m = 2 Amplituhedron is a Positive Geometry," arXiv:2610.27903, 2026. https://arxiv.org/abs/2610.27903
- B. Hollering, D. Pavlov, and E. Pratt, "Log Canonical Models and Positive Geometries," arXiv:2607.28368, 2026. https://arxiv.org/abs/2607.28368
- V. Borovik, C. de Korte, N. Meurrens, and D. Pavlov, "Constraining Conformal Correlators," arXiv:2605.31491, 2026. https://arxiv.org/abs/2605.31491
- J. Koefler, D. Pavlov, and R. Sinn, "Positive Genus Pairs from Amplituhedra," arXiv:2601.11142, 2026. https://arxiv.org/abs/2601.11142
- B. Hollering and D. Pavlov, "Parke–Taylor Varieties," arXiv:2509.09323, 2025. https://arxiv.org/abs/2509.09323
