Publications 2023-24

People whose last names are highlighted in bold are Skoltech faculty, researchers, PhD students, or MSc students (in alphabetical order)

2024 / peer-reviewed publications

  1. G. Olshanski, "The centralizer construction and Yangian-type algebras", Journal of Geometry and Physics, 2024, 196, 105063, doi.org/10.1016/j.geomphys.2023.105063 [ PDF: English, arXiv: 2208.04809]
  2. G. Olshanski, N. Safonkin, "Double Poisson brackets and involutive representation spaces", Letters in Mathematical Physics, 2024, 114:1, article 33, https://doi.org/10.1007/s11005-024-01782-3 [ PDF: English, arXiv: 2310.01086]
  3. A. Zabrodin, "Tau-function of the multi-component CKP hierarchy", Math Phys Anal Geom 27, 1 (2024). https://doi.org/10.1007/s11040-023-09473-6 [ PDF: English, arXiv: 2308.01161]

2024 / preprints

  1. A. Gaifullin, “Commutativity of involutive two-valued groups” [ PDF: English, arXiv: 2401.15191]
  2. C. Brav, G. Konovalov, “Beilinson-Parshin adeles via solid algebraic geometry” [ PDF: English, arXiv: 2403.08472]
  3. R.Kenyon, M. Kontsevich, O. Ogievetsky, C. Pohoata, W. Sawin, S. Shlosman, “The miracle of integer eigenvalues” [ PDF: English, arXiv: 2401.05291]
  4. A. Zabrodin, “Dispersionless limit of the B-Toda hierarchy” [ PDF: English, arXiv: 2401.05919]
2023 / peer-reviewed publications / 404-359

  1. A. Artemev, V. Belavin, "Torus one-point correlation numbers in minimal Liouville gravity", J. High Energ. Phys. 2023, 116 (2023), doi.org/10.1007/JHEP02(2023)116 [ PDF: English, arXiv: 2210.14568]
  2. A. Artemev, "p → ∞ limit of tachyon correlators in (2,2p+1) minimal Liouville gravity from classical Liouville theory", J. High Energ. Phys. 2023, 155 (2023), doi.org/10.1007/JHEP12(2023)155 [ PDF: English, arXiv: 2305.08118 ]
  3. E. Tulchinskii, K. Kuznetsov, L. Kushnareva, D. Cherniavskii, S. Barannikov, I. Piontkovskaya, S. Nikolenko, E. Burnaev, “Topological Data Analysis for Speech Processing”, Proc. INTERSPEECH 2023, 311-315, doi.org/10.21437/Interspeech.2023-1861 [PDF: English, arXiv: 2211.17223 ]
  4. S.A. Barannikov, A.A. Korotin, D.A. Oganesyan, D.I. Emtsev, E.V. Burnaev, “Barcodes as summary of loss function topology”, Dokl. RAN. Math. Inf. Proc. Upr., 514:2 (2023), 196–211, doi.org/10.31857/S268695432360177X
  5. D.S. Voronkova, S.A. Barannikov, E.V. Burnaev, “1-Dimensional topological invariants to estimate loss surface non-convexity”, Dokl. RAN. Math. Inf. Proc. Upr., 514:2 (2023), 187–195, doi.org/10.31857/S2686954323601999
  6. A. Basalaev, A. Takahashi, E. Werner, “Orbifold Jacobian algebras for invertible polynomials”, J of Singularities, 2023, v.26. pp.92-127, doi:10.5427/jsing.2023.26f [ PDF: English, arXiv: 1702.02739]
  7. A. Alexandrov, A. Basalaev, A. Buryak, "A construction of open descendant potentials in all genera", International Mathematics Research Notices, 023, v.2023, No.17, pp. 14840-14889, doi.org/10.1093/imrn/rnac240 [ PDF: English, arXiv: 2202.07312]
  8. M. Bershtein, A. Grigorev, A. Shchechkin, "Hamiltonian reductions in Matrix Painlevé systems" Lett Math Phys 113, 47 (2023). doi.org/10.1007/s11005-023-01651-5 [ PDF: English, arXiv: 2208.04824]
  9. V. Bolbachan, "Chow dilogarithm and strong Suslin reciprocity law", J. Algebraic Geom. 32 (2023), 697-728, doi.org/10.1090/jag/811 [ PDF: English, arXiv: 2108.11862]
  10. A. Buryak, " A formula for the Gromov-Witten potential of an elliptic curve ", Moscow Math J., 2023. V.23. No.3. pp.309-317, https://doi.org/10.17323/1609-4514-2023-23-3-309-317 [ PDF: English, arXiv: 2205.12777]
  11. A. Buryak, E. Clader, R.J. Tessler, "Open r-spin theory III: a prediction for higher genus", Journal of Geometry and Physics, v.192, 2023, 104960, doi.org/10.1016/j.geomphys.2023.104960 [ PDF: English, arXiv: 2211.16302]
  12. A. Buryak, D. Gubarevich, "Integrable systems of finite type from F-cohomological field theories without unit", Math Phys Anal Geom 26, 23 (2023), doi.org/10.1007/s11040-023-09463-8 [ PDF: English, arXiv: 2303.13356]
  13. A. Buryak, P. Rossi, “A generalization of Witten’s conjecture for the Pixton class and the noncommutative KdV hierarchy”, Journal of the Institute of Mathematics of Jussieu, 2023, 22(6), 2987–3009. doi:10.1017/S1474748022000354 [ PDF: English, arXiv: 2103.04630]
  14. A. Arsie, A. Buryak, P. Lorenzoni, P. Rossi, “Semisimple flat F-manifolds in higher genus”, Commun. Math. Phys. 397, 141–197 (2023). doi.org/10.1007/s00220-022-04450-6
  15. P. Dunin-Barkowski, M. Kazarian, A. Popolitov, S. Shadrin, A. Sleptsov, “Topological Recursion for the extended Ooguri-Vafa partition function of colored HOMFLY-PT polynomials of torus knots”, Adv. Theor. Math. Phys. 26 (2023), no.4, 793-833, doi.org/10.4310/ATMP.2022.v26.n4.a1 [ PDF: English, arXiv: 2010.11021 ]
  16. B. Bychkov, P. Dunin-Barkowski, M. Kazarian, S. Shadrin, "Generalised ordinary vs fully simple duality for n-point functions and a proof of the Borot–Garcia-Failde conjecture", Commun. Math. Phys. (2023), https://doi.org/10.1007/s00220-023-04732-7 [ PDF: English, arXiv: 2106.08368]
  17. P. Dunin-Barkowski, A. Popolitov, S. Popolitova, "Evolution for Khovanov polynomials for figure-eight-like family of knots", International Journal of Modern Physics AVol. 37, No. 36, 2250216 (2022) doi.org/10.1142/S0217751X22502165 [ PDF: English, arXiv: 1812.00858]
  18. A. Dymov,, S. Kuksin, A. Maiocchi, S. Vladuts, "The Large-Period Limit for Equations of Discrete Turbulence", Ann. Henri Poincaré 24, 3685–3739 (2023), doi.org/10.1007/s00023-023-01366-2
  19. A. Dymov,, S. Kuksin,, "Formal Expansions in Stochastic Model for Wave Turbulence 2: Method of Diagram Decomposition", J Stat Phys 190, 3 (2023), doi.org/10.1007/s10955-022-02998-0
  20. S. Vladuts, A. Dymov, S. Kuksin, A. Maiocchi, "A refinement of Heath-Brown’s theorem on quadratic forms", bornik: Mathematics, 2023, Vol. 214, Issue 5, 627–675, doi.org/10.4213/sm9711e (Mi sm9711)
  21. A. Belavin, B. Eremin, S. Parkhomenko, "Review on Special Geometry and Mirror Symmetry for Calabi–Yau Manifolds (Brief Review)", Jetp Lett. 118, 701–709 (2023). https://doi.org/10.1134/S0021364023603147]
  22. E. Feigin, I. Makhlin, A. Popkovich, “Beyond the Sottile-Sturmfels degeneration of a semi-infinite Grassmannian” International Mathematics Research Notices, V. 2023, Issue 12, June 2023, 10037–10066, doi.org/10.1093/imrn/rnac116 [ PDF: English, arXiv: 2110.07397]
  23. I. Dumanski, E. Feigin, “Reduced arc schemes for Veronese embeddings and global Demazure modules”, Communications in Contemporary Mathematics Vol. 25, No. 08, 2250034 (2023), https://doi.org/10.1142/S0219199722500341 [ PDF: English, arXiv: 1912.07988]
  24. M. Finkelberg, M. Matviichuk, A. Polishchuk, “Elliptic zastava”, J. Algebraic Geom. 32 (2023), 183-237
    DOI: https://doi.org/10.1090/jag/803 [ PDF: English, arXiv: 2011.11220 ]
  25. A. Gaifullin, “On infinitely generated homology of Torelli groups”, Алгебра и анализ, 35:6 (2023), 87–134 [ PDF: English, arXiv: 1803.09311 ]
  26. D. Skliannyi, S. Ogarkov, N. Ignatyuk, "Nonlocal Scalar QFT with Fractional Power Self-Interaction", Symmetry 2023, 15(10), 1823; doi.org/10.3390/sym15101823 [ PDF: English, arXiv: 2303.16011]
  27. I. Krichever, A. Zabrodin, "Monodromy free linear equations and many-body systems", Lett Math Phys 113, 75 (2023), doi.org/10.1007/s11005-023-01699-3 [ PDF: English, arXiv: 2211.17216]
  28. I. Krichever, A. Zabrodin, "Toda lattice with constraint of type B", Physica D: Nonlinear Phenomena, v.453, 2023, 133827, doi.org/10.1016/j.physd.2023.133827 [ PDF: English, arXiv: 2210.12534]
  29. R. Dogra, S. Lando, "Skew characteristic polynomial of graphs and embedded graphs", Communications in Mathematics, vol. 31, no. 3, pp. 33-57, doi.org/10.46298/cm.11310 [ PDF: English, arXiv: 2201.07084]
  30. G. Olshanski, "Characters of classical groups, Schur-type functions, and discrete splines" (“Характеры классических групп, функции типа Шура и дискретные сплайны”) Matematicheskii Sbornik, 2023, v.214(11), pp. 89–132, doi.org/10.4213/sm9905 [ PDF: English, arXiv: 2307.05160]
  31. C. Cuenca, G. Olshanski, "Mackey-type identity for invariant functions on Lie algebras of finite unitary groups and an application ", Journal of Lie Theory 33 (2023), 149-168 www.heldermann.de/JLT/JLT33/JLT331/jlt33007.htm [ PDF: English, arXiv: 2206.07320]
  32. G. Olshanski, N. Safonkin, "Remarks on Yangian-type algebras and double Poisson brackets"
    (“Замечания о янгианоподобных алгебрах и двойных скобках Пуассона”) Functional Analysis and its Applications, 2023, v. 57(4), pp. 75–88, doi.org/10.4213/faa4150 [ PDF: English, arXiv: 2308.13325]
  33. V. Prokofev, A. Zabrodin, "Elliptic solutions of the Toda lattice with constraint of type B and deformed Ruijsenaars-Schneider system", Math Phys Anal Geom 26, 20 (2023). https://doi.org/10.1007/s11040-023-09462-9 [ PDF: English, arXiv: 2302.120850]
  34. V. Prokofev, A. Zabrodin, "Tau-function of the B-Toda hierarchym", Theor Math Phys 217, 1673–1688 (2023). doi.org/10.1134/S0040577923110041 [ PDF: English, arXiv: 2303.17467]
  35. A. Bondal, A. Rosly, “Coherent Sheaves, Chern Classes, and Superconnections on Compact Complex-Analytic Manifolds”, Izvestiya: Mathematics, 2023, 87(3), 439–468, doi.org/10.4213/im9386e [ PDF: English, arXiv: 2211.111112]
  36. V. Rozhdestvenskii, "A lower bound in the problem of realization of cycles", Journal of Topology,
    16:4 (2023), 1475-1508, doi.org/10.1112/topo.12320 [ PDF: English, arXiv: 2303.10240]
  37. P. Ferrari, S. Shlosman, "The Airy2 process and the Ising model" Journal of Physics A: Mathematical and Theoretical, 2023, 56(1), 014003, https://iopscience.iop.org/article/10.1088/1751-8121/acb247 [ PDF: English, arXiv: 2209.14047]
  38. А.А. Радовская, А.Г. Семенов, Локальный квенч в технике Келдыша, Письма в ЖЭТФ 118, 921 – 927 (2023)
  39. A. Antonov, A. Leonidov, A. Semenov, “Transition between metastable equilibria: Applications to binary-choice games”, Phys. Rev. E 108, 024134 (2023), doi/10.1103/PhysRevE.108.024134 [ PDF: English, arXiv: 2301.01285]
  40. I. Dynnikov, P. Hubert, A. Skripchenko, “Dynamical systems around the Rauzy gasket and their ergodic properties”, International Mathematics Research Notices, 2023, 2023(8) 6461-6503, doi.org/10.1093/imrn/rnac040 [ PDF: English, arXiv: 2011.15043 ]
  41. A.S. Skripchenko, “Renormalization in one-dimensional dynamics”, Uspekhi Mat. Nauk, 78:6(474) (2023), 3–46, doi.org/10.4213/rm10110
  42. I. Spiridonov, "The top homology group of the genus 3 Torelli group", Journal of Topology, 16.3 (2023): 1048-1092, doi.org/10.1112/topo.1230 [ PDF: English, arXiv: 2208.10326]
  43. R. Travkin, R. Yang, "Twisted Gaiotto equivalence for GL(M|N)", Advances in Mathematics, Volume 435, Part A, 2023, 109359, ISSN 0001-8708,https://doi.org/10.1016/j.aim.2023.109359 [ PDF: English, arXiv: 2306.09556]
  44. A. Zabrodin, "On integrability of the deformed Ruijsenaars–Schneider system", УМН, 78:2(470) (2023), 149–188; Russian Math. Surveys, 78:2 (2023), 349–386, doi.org/10.4213/rm10105e, [ PDF: English, arXiv: 2212.13290]
  45. A. Zabrodin, "Dyson diffusion on a curved contour", Theor Math Phys 216, 1104–1109 (2023). doi.org/10.1134/S0040577923080020 [ PDF: English, arXiv: 2211.02339]
  46. A. Zabrodin, "Quasi-periodic solutions to hierarchies of nonlinear integrable equations and bilinear relations", Journal of Geometry and Physics 193 (2023) 104990, 10.1016/j.geomphys.2023.104990 [ PDF: English, arXiv: 2304.05108]

2023 / preprints / 358-328

  1. L. Kushnareva, T. Gaintseva, G. Magai, S. Barannikov, D. Abulkhanov, K. Kuznetsov, I. Piontkovskaya, S. Nikolenko, "Artificial Text Boundary Detection with Topological Data Analysis and Sliding Window Techniques" [ PDF: English, arXiv: 2311.08349 ]
  2. N. Balabin, D. Voronkova, I. Trofimov, E. Burnaev, S. Barannikov, "Disentanglement Learning via Topology" [ PDF: English, arXiv: 2308.12696 ]
  3. E. Tulchinskii, K. Kuznetsov, L. Kushnareva, D. Cherniavskii, S. Barannikov, I. Piontkovskaya, S. Nikolenko, E. Burnaev, "Intrinsic Dimension Estimation for Robust Detection of AI-Generated Texts
    " [ PDF: English, arXiv: 2306.04723 ]
  4. I. Trofimov, D. Cherniavskii, E. Tulchinskii, N. Balabin, E. Burnaev, S. Barannikov, "Learning Topology-Preserving Data Representationsy" [ PDF: English, arXiv: 2302.00136 ]
  5. A. Basalaev, A. Ionov, "Hodge diamonds of the Landau–Ginzburg orbifolds", [ PDF: English, arXiv: 2307.01295]
  6. V. Bolbachan, "On some analog of Bloch’s higher Chow group and Goncharov’s conjecture in next to Milnor degree", [ PDF: English, arXiv: 2311.07567]
  7. A. Buryak, M. Troshkin, "An application of the nonlinear reciprocal transformations in the theory of DR hierarchies", [ PDF: English, arXiv: 2310.10150]
  8. A. Buryak, P. Rossi, "Intersection numbers with Pixton’s class and the noncommutative KdV hierarchy", [ PDF: English, arXiv: 2308.13258]
  9. A. Buryak, P. Rossi, "Counting meromorphic differentials on CP1" [ PDF: English, arXiv: 2304.09557]
  10. A. Alexandrov, B. Bychkov, P. Dunin-Barkowski, M. Kazarian, S. Shadrin, "Log topological recursion through the prism of x−y swap" [ PDF: English, arXiv: 2312.16950]
  11. A. Alexandrov, B. Bychkov, P. Dunin-Barkowski, M. Kazarian, S. Shadrin, "KP integrability through the x−y swap relation" [ PDF: English, arXiv: 2309.12176]
  12. A. Alexandrov, B. Bychkov, P. Dunin-Barkowski, M. Kazarian, S. Shadrin, "Topological recursion, symplectic duality, and generalized fully simple maps" [ PDF: English, arXiv: 2304.11687]
  13. M. Finkelberg, V. Ginzburg, R. Travkin, “Lagrangian subvarieties of hyperspherical varieties” [ PDF: English, arXiv: 2310.19770 ]
  14. R. Bezrukavnikov, A. Braverman, M. Finkelberg, D. Kazhdan, "Schwartz spaces, local L-factors and perverse sheaves" [ PDF: English, arXiv: 2303.00913]
  15. A. Gaifullin, "New examples and partial classification of 15-vertex triangulations of the quaternionic projective plane" [ PDF: English, arXiv: 2311.11309]
  16. A. Gaifullin, "On possible symmetry groups of 27-vertex triangulations of manifolds like the octonionic projective plane" [ PDF: English, arXiv: 2310.16679]
  17. A. Ilin, J. Kamnitzer, Yu Li, P. Przytycki, L. Rybnikov, "The moduli space of cactus flower curves and the virtual cactus group" [ PDF: English, arXiv: 2308.06880]
  18. M. Kazaryan, S. Lando, "Weight systems and invariants of graphs and embedded graphs" [ PDF: English, arXiv: 2302.12153]
  19. T. Kenzhaev, "Semi-infinite construction of one-dimensional lattice vertex superalgebras" [ PDF: English, arXiv: 2306.11603]
  20. T. Kenzhaev, "Durfee rectangle identities as character identities for infinite Fibonacci configurations" [ PDF: English, arXiv: 2306.08410]
  21. T. Kenzhaev, "An alternative proof of slˆ′2 standard module semi-infinite structure" [ PDF: English, arXiv: 2306.07947]
  22. I. Krichever, L. Takhtajan, "Algebraic de Rham theorem and Baker-Akhiezer function" [ PDF: English, arXiv: 2311.04440]
  23. N. Kodaneva, S. Lando, "Polynomial graph invariants induced from the gl-weight system" [ PDF: English, arXiv: 2312.17519]
  24. D. Kolyaskin, A. Litvinov, "Bethe ansatz equations for quantum N=2 KdV systems" [ PDF: English, arXiv: 2312.09105]
  25. M. Alfimov, I. Kalinichenko, A. Litvinov, "On β-function of N=2 supersymmetric integrable sigma-models" [ PDF: English, arXiv: 2311.14187]
  26. G. Konovalov, "Degenerate Poisson algebras and derived Poisson degeneracy loci" [ PDF: English, arXiv: 2301.00244]
  27. P. Gavrylenko, E. Ievlev, A. Marshakov, I. Monastyrskii, A. Yung, "2d Sigma Models on Non-compact Calabi-Yau and N=2 Liouville Theory" [ PDF: English, arXiv: 2307.02929]
  28. V. Prokofev, A. Zabrodin, "Elliptic Cauchy matrices" [ PDF: English, arXiv: 2305.02837]
  29. M. Khristoforov, M. Skopenkov, S. Smirnov, "A generalization of Cardy’s and Schramm’s formulae" [ PDF: English, arXiv: 2305.12368]
  30. A. Zabrodin, "Time discretization of the deformed Ruijsenaars-Schneider system" [ PDF: English, arXiv: 2301.05020]
  31. I. Krichever, A. Zabrodin, "Quasi-periodic solutions of the universal hierarchy " [ PDF: English, arXiv: 2308.12187]