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. A. Basalaev, A. Ionov, "Hodge diamonds of the Landau–Ginzburg orbifolds", Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), [ PDF: English, arXiv: 2307.01295]
  2. A. Gaifullin, "634 vertex-transitive and more than 10103 non-vertex-transitive 27-vertex triangulations of manifolds like the octonionic projective plane", Izvestiya Mathematics 2024, 88(3), pp. 419–467, [ PDF: English, arXiv: 2207.08507]
  3. A. Gaifullin, "New examples and partial classification of 15-vertex triangulations of the quaternionic projective plane" Topology, Geometry, Combinatorics, and Mathematical Physics, Collected papers. Dedicated to Victor Matveevich Buchstaber on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 326, Steklov Math. Inst., Moscow, 2024, [ PDF: English, arXiv: 2311.11309]
  4. A. Gaifullin, “Commutativity of involutive two-valued groups”, Uspekhi Matematicheskikh Nauk, 2024, V. 79, 2(476), pp. 185–186, [ PDF: English, arXiv: 2401.15191]
  5. A. Gaifullin, "On possible symmetry groups of 27-vertex triangulations of manifolds like the octonionic projective plane", Matematicheskii Sbornik, 2024, V.215(7), pp 3–51, [ PDF: English, arXiv: 2310.16679]
  6. D. Kolyaskin, A. Litvinov, "Bethe ansatz equations for quantum N=2 KdV systems" Nuclear Physics B, 2024, 1001, 116506, [ PDF: English, arXiv: 2312.09105]
  7. M. Alfimov, I. Kalinichenko, A. Litvinov, "On β-function of N=2 supersymmetric integrable sigma-models", J. High Energ. Phys. 2024, 297 (2024). [ PDF: English, arXiv: 2311.14187]
  8. G. Olshanski, "The centralizer construction and Yangian-type algebras", Journal of Geometry and Physics, 2024, 196, 105063, [ PDF: English, arXiv: 2208.04809]
  9. G. Olshanski, N. Safonkin, "Double Poisson brackets and involutive representation spaces", Letters in Mathematical Physics, 2024, 114:1, article 33, [ PDF: English, arXiv: 2310.01086]
  10. A. van Enter, S. Shlosman, “The Schonmann projection as a g-measure-, how Gibbsian is it?”, Ann. Inst. H. Poincaré Probab. Statist. 60(1): 2-10 (February 2024) doi: 10.1214/22-AIHP1266 [ PDF: English, arXiv: 2102.10622]
  11. A. Zabrodin, "Tau-function of the multi-component CKP hierarchy", Math Phys Anal Geom 27, 1 (2024). [ PDF: English, arXiv: 2308.01161]

2024 / preprints

  1. A. Artemev, I. Chaban, “(2,2p+1) minimal string and intersection theory I” [ PDF: English, arXiv: 2403.02305]
  2. I. Trofimov, D. Voronkova, E. Tulchinskii, E. Burnaev, S. Barannikov, “Scalar Function Topology Divergence: Comparing Topology of 3D Objects” [ PDF: English, arXiv: 2407.08364]
  3. T. Gaintseva, L. Kushnareva, G. Magai, I. Piontkovskaya, S. Nikolenko, M. Benning, S. Barannikov, G. Slabaugh, “Improving Interpretability and Robustness for the Detection of AI-Generated Images” [ PDF: English, arXiv: 2406.15035]
  4. A. Basalaev, “Mirror partner for a Klein quartic polynomial” [ PDF: English, arXiv: 2406.12490]
  5. V. Bolbachan, “On the Goncharov’s conjecture in degree m−1 and weight m” [ PDF: English, arXiv: 2404.06271]
  6. X. Blot, A. Buryak, “Quantum intersection numbers and the Gromov-Witten invariants of CP1″ [ PDF: English, arXiv: 2402.16464]
  7. A. Alexandrov, B. Bychkov, P. Dunin-Barkowski, M. Kazarian, S. Shadrin, “Any topological recursion on a rational spectral curve is KP integrable” [ PDF: English, arXiv: 2406.07391]
  8. A. Alexandrov, B. Bychkov, P. Dunin-Barkowski, M. Kazarian, S. Shadrin, “Symplectic duality via log topological recursion” [ PDF: English, arXiv: 2405.10720]
  9. M. Finkelberg, R. Travkin, R. Yang, “Gaiotto Conjecture for Repq(F(4))” [ PDF: English, arXiv: 2406.05521]
  10. A. Ilin, J. Kamnitzer, L. Rybnikov, “Gaudin models and moduli space of flower curves” [ PDF: English, arXiv: 2407.06424]
  11. T. Kenzhaev, “Eighth problem of the Arnold trivium” [ PDF: English, arXiv: 2403.08803]
  12. C. Brav, G. Konovalov, “Beilinson-Parshin adeles via solid algebraic geometry” [ PDF: English, arXiv: 2403.08472]
  13. A. Radovskaya, A. Semenov, “Local quench within the Keldysh technique” [ PDF: English, arXiv: 2403.18137]
  14. A. Rarovskii, “Non-invertible quasihomogeneus singularities and their Landau-Ginzburg orbifolds” [ PDF: English, arXiv: 2405.17091]
  15. A. Savchenko, A. Zabrodin, “Multicomponent DKP hierarchy and its dispersionless limit” [ PDF: English, arXiv: 2407.12424]
  16. R.Kenyon, M. Kontsevich, O. Ogievetsky, C. Pohoata, W. Sawin, S. Shlosman, “The miracle of integer eigenvalues” [ PDF: English, arXiv: 2401.05291]
  17. P.-H. Leemann, T. Nagnibeda, A. Skripchenko, G. Veprev, “Limits of Rauzy graphs of languages with subexponential complexity” [ PDF: English, arXiv: 2402.15877]
  18. A. Zabrodin, “Dispersionless limit of the B-Toda hierarchy” [ PDF: English, arXiv: 2401.05919]
  19. A. Zabrodin, “Dispersionless version of the multicomponent KP hierarchy revisited” [ PDF: English, arXiv: 2404.10406]

2023 / peer-reviewed publications / 398-353

  1. A. Artemev, V. Belavin, "Torus one-point correlation numbers in minimal Liouville gravity", J. High Energ. Phys. 2023, 116 (2023), [ 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), [ 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, [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,
  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,
  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, [ PDF: English, arXiv: 2202.07312]
  8. M. Bershtein, A. Grigorev, A. Shchechkin, "Hamiltonian reductions in Matrix Painlevé systems" Lett Math Phys 113, 47 (2023). [ PDF: English, arXiv: 2208.04824]
  9. V. Bolbachan, "Chow dilogarithm and strong Suslin reciprocity law", J. Algebraic Geom. 32 (2023), 697-728, [ 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, [ 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, [ 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), [ 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).
  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, [ 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), [ 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) [ 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),
  19. A. Dymov,, S. Kuksin,, "Formal Expansions in Stochastic Model for Wave Turbulence 2: Method of Diagram Decomposition", J Stat Phys 190, 3 (2023),
  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, (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).]
  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, [ 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), [ PDF: English, arXiv: 1912.07988]
  24. M. Finkelberg, M. Matviichuk, A. Polishchuk, “Elliptic zastava”, J. Algebraic Geom. 32 (2023), 183-237
    DOI: [ 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; [ PDF: English, arXiv: 2303.16011]
  27. I. Krichever, A. Zabrodin, "Monodromy free linear equations and many-body systems", Lett Math Phys 113, 75 (2023), [ 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, [ 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, [ 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, [ 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 [ 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, [ 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). [ PDF: English, arXiv: 2302.120850]
  34. V. Prokofev, A. Zabrodin, "Tau-function of the B-Toda hierarchym", Theor Math Phys 217, 1673–1688 (2023). [ 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, [ 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, [ 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, [ 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, [ PDF: English, arXiv: 2011.15043 ]
  41. A.S. Skripchenko, “Renormalization in one-dimensional dynamics”, Uspekhi Mat. Nauk, 78:6(474) (2023), 3–46,
  42. I. Spiridonov, "The top homology group of the genus 3 Torelli group", Journal of Topology, 16.3 (2023): 1048-1092, [ 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, [ 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,, [ PDF: English, arXiv: 2212.13290]
  45. A. Zabrodin, "Dyson diffusion on a curved contour", Theor Math Phys 216, 1104–1109 (2023). [ 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 / 352-327

  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. 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]
  6. A. Buryak, M. Troshkin, "An application of the nonlinear reciprocal transformations in the theory of DR hierarchies", [ PDF: English, arXiv: 2310.10150]
  7. A. Buryak, P. Rossi, "Intersection numbers with Pixton’s class and the noncommutative KdV hierarchy", [ PDF: English, arXiv: 2308.13258]
  8. A. Buryak, P. Rossi, "Counting meromorphic differentials on CP1" [ PDF: English, arXiv: 2304.09557]
  9. 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]
  10. A. Alexandrov, B. Bychkov, P. Dunin-Barkowski, M. Kazarian, S. Shadrin, "KP integrability through the x−y swap relation" [ PDF: English, arXiv: 2309.12176]
  11. 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]
  12. M. Finkelberg, V. Ginzburg, R. Travkin, “Lagrangian subvarieties of hyperspherical varieties” [ PDF: English, arXiv: 2310.19770 ]
  13. R. Bezrukavnikov, A. Braverman, M. Finkelberg, D. Kazhdan, "Schwartz spaces, local L-factors and perverse sheaves" [ PDF: English, arXiv: 2303.00913]
  14. 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]
  15. M. Kazaryan, S. Lando, "Weight systems and invariants of graphs and embedded graphs" [ PDF: English, arXiv: 2302.12153]
  16. T. Kenzhaev, "Semi-infinite construction of one-dimensional lattice vertex superalgebras" [ PDF: English, arXiv: 2306.11603]
  17. T. Kenzhaev, "Durfee rectangle identities as character identities for infinite Fibonacci configurations" [ PDF: English, arXiv: 2306.08410]
  18. T. Kenzhaev, "An alternative proof of slˆ′2 standard module semi-infinite structure" [ PDF: English, arXiv: 2306.07947]
  19. I. Krichever, L. Takhtajan, "Algebraic de Rham theorem and Baker-Akhiezer function" [ PDF: English, arXiv: 2311.04440]
  20. N. Kodaneva, S. Lando, "Polynomial graph invariants induced from the gl-weight system" [ PDF: English, arXiv: 2312.17519]
  21. G. Konovalov, "Degenerate Poisson algebras and derived Poisson degeneracy loci" [ PDF: English, arXiv: 2301.00244]
  22. 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]
  23. V. Prokofev, A. Zabrodin, "Elliptic Cauchy matrices" [ PDF: English, arXiv: 2305.02837]
  24. M. Khristoforov, M. Skopenkov, S. Smirnov, "A generalization of Cardy’s and Schramm’s formulae" [ PDF: English, arXiv: 2305.12368]
  25. A. Zabrodin, "Time discretization of the deformed Ruijsenaars-Schneider system" [ PDF: English, arXiv: 2301.05020]
  26. I. Krichever, A. Zabrodin, "Quasi-periodic solutions of the universal hierarchy " [ PDF: English, arXiv: 2308.12187]