Казаков Антон Александрович

Казаков Антон Александрович
ассистент кафедры нелинейной динамики

Образование: мехмат МГУ им. Ломоносова, кафедра высшей геометрии и топологии

Научные интересы: кластерные алгебры, положительные Грассманианы, модели Поттса,
электрические сети, полиномы Татта

Читаемые курсы и проводимые семинары
дискретная математика
алгебра и геометрия

Основные публикации
1. V. G. Gorbounov, A.A. Kazakov, Metric properties of electrical networks and the graph reconstruction
problems, Proceedings of the 13th European Conference on Combinatorics, Graph Theory and
Applications EUROCOMB’25, MTMT: 36432641, pp. 456-460 (2025).
https://site.pheedloop.com/event/Eurocomb25/Abstracts
http://arxiv.org/abs/2601.08465
Materials https://doi.org/10.5281/zenodo.18115209}

2. A. Kazakov, Cluster algebras of minors of electrical network response matrices (in Russian).
Proceedings of the V Conference of Mathematical Centers of Russia, Krasnoyarsk: ICM SB RAS, pp.
25–27 (2025).
https://kmc.sfu-kras.ru/conf2025/files/sbornik\_2025.pdf

3. A. Kazakov, Inverse problems related to electrical networks and the geometry of non-negative
Grassmannians. Physica D: Nonlinear Phenomena Vol. 483, 134948 (2025).
https://doi.org/10.1016/j.physd.2025.134948
https://arxiv.org/abs/2502.16710

4. V. Gorbounov, A. Kazakov, Electrical networks and data analysis in phylogenetics. Data Analytics and
Topology, Vol. 1, No. 1, pp. 33-45 (2025).
https://dx.doi.org/10.4310/DAAT.250513011206
https://arxiv.org/abs/2501.01383
Materials: https://doi.org/10.5281/zenodo.18221409}

5. B. Bychkov, V. Gorbounov, L. Guterman, A. Kazakov, Symplectic geometry of electrical networks.
Journal of Geometry and Physics, Vol. 207, 105323 (2025). https://doi.org/10.1016/j.geomphys.2024.105323
https://arxiv.org/abs/2406.03021

6. A. Kazakov, Kramers–Wannier duality and Tutte polynomials. Theoretical and Mathematical Physics,
Vol. 220, No. 2, pp. 1304-1314 (2024).
https://doi.org/10.1134/S0040577924080051
Materials: https://doi.org/10.5281/zenodo.18133188

7. B. Bychkov, V. Gorbounov, A. Kazakov, D. Talalaev, Electrical Networks, Lagrangian Grassmannians,
and Symplectic Groups. Moscow Mathematical Journal, Vol. 23, No. 2, pp. 133-167 (2023).
http://doi.org/10.17323/1609-4514-2023-23-2-133-167
https://arxiv.org/abs/2109.13952

8. A. Kazakov, The State-Sum Invariants for Virtual Knots. Lobachevskii Journal of Mathematics, Vol. 44,
No. 12, pp. 5286-5293 (2023).
https://doi.org/10.1134/S1995080223120181
https://arxiv.org/abs/1809.05871

9. B. Bychkov, A. Kazakov, D. Talalaev, Tutte polynomials of vertex-weighted graphs and group
cohomology. Theoretical and Mathematical Physics, Vol. 207, No. 2, pp. 594-603 (2021).
https://doi.org/10.1134/S0040577921050056
https://link.springer.com/article/10.1134/S0040577921050056
Materials: https://doi.org/10.5281/zenodo.18148274

10. B. Bychkov, A. Kazakov, D. Talalaev, Functional relations on anisotropic Potts models: from Biggs formula to the tetrahedron equation. SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, Vol. 17, pp. 035 (2021).
https://doi.org/10.3842/SIGMA.2021.035
https://arxiv.org/abs/2005.10288
Materials: https://doi.org/10.5281/zenodo.18141501

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