Publications

  1. Harmonic functions on Tutte’s embeddings and linearized Monge–Ampère equation.
    Mikhail Basok, Dmitry Chelkak, Benoît Laslier, and Marianna Russkikh. Preprint (2025). arXiv:2511.06587.

  2. Kenyon’s identities for the height function and compactified free field in the dimer model.
    Mikhail Basok. Preprint (2025). arXiv:2511.03804.

  3. Nesting of double-dimer loops: local fluctuations and convergence to the nesting field of CLE(4).
    Mikhail Basok and Konstantin Izyurov. Preprint (2025). arXiv:2501.01574.

  4. Dimers on Riemann surfaces and compactified free field.
    Mikhail Basok. The Annals of Probability, forthcoming. Preprint (2023). arXiv:2309.14522.

  5. Tau-functions à la Dubédat and probabilities of cylindrical events for double-dimers and CLE(4).
    Mikhail Basok and Dmitry Chelkak. Journal of the European Mathematical Society 23(8), 2787–2832 (2021). Journal version · arXiv:1809.00690.

  6. On uniqueness in Steiner problem.
    Mikhail Basok, Danila Cherkashin, Nikita Rastegaev, and Yana Teplitskaya. International Mathematics Research Notices 2024(10), 8819–8838 (2024). Journal version · arXiv:1809.01463.

  7. Homology of the pronilpotent completion and cotorsion groups.
    Mikhail Basok, Sergei O. Ivanov, and Roman Mikhailov. Israel Journal of Mathematics 261, 281–312 (2024). Journal version · arXiv:2107.01485.

  8. Inverse maximal and average distance minimizer problems.
    Mikhail Basok, Danila Cherkashin, and Yana Teplitskaya. Preprint (2022). arXiv:2212.01903.

  9. On some degeneracy loci in the moduli space of pointed odd spin curves.
    M. K. Basok. St. Petersburg Mathematical Journal 32(5), 819–845 (2021). Journal version · arXiv:1509.02359 (preprint title: On the class of caustic on the moduli space of odd spin curves).

  10. Discriminant and Hodge classes on the space of Hitchin covers.
    Mikhail Basok. Letters in Mathematical Physics 110(10), 2659–2674 (2020). Journal version · arXiv:1904.00489.

  11. Tau function and moduli of spin curves.
    Mikhail Basok. International Mathematics Research Notices 2015(20), 10095–10117 (2015). Journal version · arXiv:1405.7865.