Publications

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


    2019 / peer-reviewed publications

  1. M. Bershtein, P. Gavrylenko, A. Marshakov, “Cluster Toda chains and Nekrasov functions”, Theoret. and Math. Phys., 198:2 (2019), 157–188 [ PDF: English, arXiv: 1804.10145 ]
  2. S. Grushevsky, I. Krichever, C. Norton, “Real-normalized differentials: limits on stable curves”, Russian Math. Surveys 74:2(446) (2019) [ PDF: English, arXiv: 1703.07806 ]
  3. A. Grekov, A. Zabrodin, A. Zotov, “Supersymmetric extension of qKZ-Ruijsenaars correspondence”, Nuclear Physycs B 939 (2019) 174-190, doi10.1016/j.nuclphysb.2018.12.014 [ PDF: English, arXiv: 1810.12658 ]
  4. A. V. Ilina, I. M. Krichever, N. A. Nekrasov, “Two-dimensional periodic Schrödinger operators integrable on an energy “eigenlevel””, Funktsional. Anal. i Prilozhen., 53:1 (2019), 31–48, doi.org/10.4213/faa3626 [ PDF: English, arXiv: 1903.01778 ]
  5. S. Nechaev, K. Polovnikov, S. Shlosman, A. Valov, A. Vladimirov, “Anomalous 1D fluctuations of a simple 2D random walk in a large deviation regime”, Phys. Rev. E 99, 012110 (2019) doi10.1103/PhysRevE.99.012110 [ PDF: English, arXiv: 1805.05014 ]
  6. O. Ogievetsky, S. Shlosman, “The Six Cylinders Problem: D3-symmetry Approach”, S. Discrete Comput Geom (2019). https://doi.org/10.1007/s00454-019-00064-3 [ PDF: English, arXiv: 1805.09833 ]

  7. 2019 / preprints

  8. A. Buryak, A. Basalaev, “Open WDVV equations and Virasoro constraints” [ PDF: English, arXiv: 1901.10393]
  9. E. Dotsenko, “The Dynamical equations for gl(n|m)” [ PDF: English, arXiv: 1904.00006]
  10. E. Feigin, “Tensor products, Kerov’s theorem and GUE eigenvalues density” [ PDF: English, arXiv: 1902.01154]
  11. G. Cerulli Irelli, X. Fang, E. Feigin, G. Fourier, M. Reineke, “Linear degenerations of flag varieties: partial flags, defining equations, and group actions” [ PDF: English, arXiv: 1901.11020]
  12. A. Gaifullin, “On the top homology group of Johnson kernel” [ PDF: English, arXiv: 1903.03864]
  13. G. Bonelli, F. Del Monte, P. Gavrylenko, A. Tanzini, “N=2* gauge theory, free fermions on the torus and Painlevé VI” [ PDF: English, arXiv: 1901.10497]
  14. V. Krylov, I. Perunov, Generalized slices for minuscule cocharacters” [ PDF: English, arXiv: 1903.08277]
  15. D. Rudneva, A. Zabrodin, “Dynamics of poles of elliptic solutions to BKP equation” [ PDF: English, arXiv: 1903.00968]
  16. O. Ogievetsky, S. Shlosman, “Extremal cylinder configurations II: configuration O6″ [ PDF: English, arXiv: 1902.08995]
  17. O. Ogievetsky, S. Shlosman, “Platonic compounds of cylinders” [ PDF: English, arXiv: 1904.02043]

  18. 2018 / peer-reviewed publications

  19. A. Basalaev, N. Priddis, “Givental-Type reconstruction at a nonsemisimple point”, Michigan Math. J. 67:2(2018) 333-369
  20. M. Bershtein, A. Tsymbaliuk, “Homomorphisms between different quantum toroidal and affine Yangian algebras”, J. Pure Appl. Algebra (2018), doi:10.1016/j.jpaa.2018.05.003, [ PDF: English, arXiv: 1512.09109 ]
  21. M. Bershtein, P. Gavrylenko, A. Marshakov, “Twist-field representations of W-algebras, exact conformal blocks and character identities”, J. High Energ. Phys. (2018) 8:108, doi: 10.1007/jhep08(2018)108 [ PDF: English, arXiv: 1705.00957 ]
  22. M. Bershtein, B. Feigin, G. Merzon, “Plane partitions with a “pit”: generating functions and representation theory”, Sel. Math. New Ser. (2018) 24:1 21-62
  23. M. Bershtein, P. Gavrylenko, A. Marshakov, “Cluster integrable systems, q-Painleve equations and their quantization”, J. High Energ. Phys. (2018) 2018: 77 [ PDF: English, arXiv: 1711.02063 ]
  24. A. Braverman, D. Kazhdan, “Remarks on the asymptotic Hecke algebra “, In: Kac V., Popov V. (eds) Lie Groups, Geometry, and Representation Theory. Progress in Mathematics, vol 326. Birkhäuser, Cham, doi.org/10.1007/978-3-030-02191-7_4 [ PDF: English, arXiv: 1704.03019 ]
  25. X. Fang, E. Feigin, G. Fourier, I. Makhlin, “Weighted PBW degenerations and tropical flag varieties”, Comm. Contemporary Math., doi.org/10.1142/S0219199718500165 [ PDF: English, arXiv: 1711.00751]
  26. M. Finkelberg, J. Kamnitzer, K. Pham, L. Rybnikov, A. Weekes, “Comultiplication for shifted Yangians and quantum open Toda lattice”, Adv. Math. 327 (2018) 349-389, [ PDF: English, arXiv: 1608.03331 ]
  27. M. Finkelberg, A. Ionov, “Kostka-Shoji polynomials and Lusztig’s convolution diagram”, Inst. Math. Acad. Sinica, 13:1 (2018) 31-42
  28. M. Finkelberg, A. Kuznetsov, L. Rybnikov, G. Dobrovolska, “Towards a cluster structure on trigonometric zastava”, Sel. Math. New Ser. (2018) 24:1 187-225
  29. A. Gaifullin, L. Ignashchenko, “Dehn invariant of flexible polyhedra”, Proc. Steklov Inst. Math. (2018) 302: 130. doi.org/10.1134/S0081543818060068 [ PDF: English, arXiv: 1710.11247 ]
  30. A. A. Gaifullin, Y. A. Neretin, “Infinite symmetric group, pseudomanifolds, and combinatorial cobordism-like structures”, J. Topol. Anal., 10:3(2018) 605-625 doi.org/10.1142/S179352531850022X
  31. M. Cafasso, P. Gavrylenko, O. Lisovyy, “Tau functions as Widom constants”, Commun. Math. Phys. (2018) 1-32 doi.org/10.1007/s00220-018-3230-9 [ PDF: English, arXiv: 1712.08546 ]
  32. P. Gavrylenko, O. Lisovyy, “Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions”, Commun. Math. Phys. (2018) 363:1 1-58. doi.org/10.1007/s00220-018-3224-7 [PDF: English, arXiv: 1608.00958 ]
  33. P. Gavrylenko, N. Iorgov, O. Lisovyy, “On solutions of the Fuji-Suzuki-Tsuda system”, SIGMA 14 (2018), 123, doi10.3842/SIGMA.2018.123 [ PDF: English, arXiv: 1806.08650 ]
  34. V. Belavin, R. Geiko, “c-Recursion for multi-point superconformal blocks. NS sector”, J. High Energ. Phys., 8(2018)112 [ PDF: English, arXiv: 1806.09563 ]
  35. M. Kazaryan, S. Lando, V. Prasolov, “Algebraic Curves. Towards Moduli Spaces”, Springer Nature Switzerland AG 2018, ISBN 978-3-030-02942-5, https://doi.org/10.1007/978-3-030-02943-2
  36. A. Liashyk, N. A. Slavnov, “On Bethe vectors in gl3-invariant integrable models”, J. High Energ. Phys. 6 (2018) 018, [ PDF: English, arXiv: 1803.07628 ]
  37. A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “Scalar products and norm of Bethe vectors for integrable models based on Uq(glˆn)”, SciPost Phys. 4, (2018) 006 [ PDF: English, arXiv: 1711.03867 ]
  38. G. Olshanski, “Interpolation Macdonald polynomials and Cauchy-type identities”, J. Combin. Theory Ser. A 162 (2019), 65-117 [ PDF: English, arXiv: 1712.08018 ]
  39. A. Losev, I. Polyubin, A. Rosly, “Ultraviolet Properties of the Self-Dual Yang-Mills Theory”, J. High Energ. Phys. (2018) 2018: 41 [ PDF: English, arXiv: 1711.10026 ]
  40. M. Semenyakin, G. Falkovich, “Alternating currents and shear waves in viscous electronics”, Phys. Rev. B 97, 085127 (2018) [ PDF: English, arXiv: 1710.08844 ]
  41. O. V. Ogievetskii, S. B. Shlosman, “Plane Partitions and Their Pedestal Polynomials”, Mat. Zametki, 103:5 (2018), 745–749
  42. R. Kusner, W. Kusner, J.C. Lagarias, S. Shlosman, “Configuration Spaces of Equal Spheres Touching a Given Sphere: The twelve spheres problem”, 10.1007/978-3-662-57143-3 [ PDF: English, arXiv: 1611.10297 ]
  43. S. Shlosman, “Topological Tverberg Theorem: the proofs and the counterexamples”, Russian Mathematical Surveys, 2018, V.73 [ PDF: English, arXiv: 1804.03120 ]
  44. F. Baccelli, A. Rybko, S. Shlosman, A. Vladimirov, “Metastability of Queuing Networks with Mobile Servers”, J. Stat. Phys. (2018). https://doi.org/10.1007/s10955-018-2023-z [ PDF: English, arXiv: 1704.02521 ]
  45. A. Skripchenko, S. Troubetzkoy, “On the Hausdorff dimension of minimal interval exchange transformations with flips”, J. Lond. Math. Soc., 97:2(2018) 149-169, [ PDF: English, arXiv: 1510.02362 ]
  46. A. Kemppainen, S. Smirnov, “Configurations of FK Ising interfaces and hypergeometric SLE”, Math. Research Lett. 25(3) (2018) 875 – 889, dx.doi.org/10.4310/MRL.2018.v25.n3.a7 [ PDF: English, arXiv: 1704.02823 ]
  47. A. Zabrodin, A.Zotov, “Self-dual form of Ruijsenaars–Schneider models and ILW equation with discrete Laplacian”, Nucl. Phys. B, 927 (2018) 550-565 [ PDF: English, arXiv: 1711.01036 ]
  48. A. Eskin, M. Kontsevich, M. Moeller, A. Zorich, “Lower bounds for Lyapunov exponents of flat bundles on curves”, Geometry & Topology 22 (2018) 2299–2338, DOI: 10.2140/gt.2018.22.2299 [ PDF: English, arXiv: 1609.01170 ]

  49. 2018 / preprints

  50. A. Basalaev, A. Takahashi, “Hochschild cohomology and orbifold Jacobian algebras associated to invertible polynomial”, [ PDF: English, arXiv: 1802.03912 ]
  51. M. Bershtein, A. Shchechkin, “Painlevé equations from Nakajima-Yoshioka blow-up relations”, [ PDF: English, arXiv: 1811.04050 ]
  52. A. Braverman, M. Finkelberg, “A quasi-coherent description of the the category of D-mod(GrGL(n))”, [ PDF: English, arXiv: 1809.10774 ]
  53. A. Braverman, M. Finkelberg, “Coulomb branches of 3-dimensional gauge theories and related structures”, [ PDF: English, arXiv: 1807.09038 ]
  54. A. Braverman, D. Kazhdan, “Schwartz space of parabolic basic affine space and asymptotic Hecke algebras”, [ PDF: English, arXiv: 1804.00336 ]
  55. A. Bigeni, E. Feigin, “Symmetric Dellac configurations”, [ PDF: English, arXiv: 1808.04275 ]
  56. A. Bigeni, E. Feigin, “Symmetric Dellac configurations and symplectic/orthogonal flag varieties”, [ PDF: English, arXiv: 1804.10804 ]
  57. E. Feigin, I. Makedonskyi, “Vertex algebras and coordinate rings of semi-infinite flags, [ PDF: English, arXiv: 1804.03359 ]
  58. M. Finkelberg, A. Tsymbaliuk, “Shifted quantum affine algebras: integral forms in type A (with appendices by A. Tsymbaliuk and A. Weekes)”, [ PDF: English, arXiv: 1811.12137 ]
  59. A. Gaifullin, “On infinitely generated homology of Torelli groups”, [ PDF: English, arXiv: 1803.09311 ]
  60. P. Gavrylenko, R. Santachiara, “Crossing invariant correlation functions at c=1 from isomonodromic τ functions”, [ PDF: English, arXiv: 1812.10362 ]
  61. P. Gavrylenko, N. Iorgov, O. Lisovyy, “Higher rank isomonodromic deformations and W-algebras”, [ PDF: English, arXiv: 1801.09608 ]
  62. R. Gonin, A. Tsymbaliuk, “On Sevostyanov’s construction of quantum difference Toda lattices for classical groups”, [ PDF: English, arXiv: 1804.01063 ]
  63. M. Kazarian, S. Lando, S. Natanzon, “On framed simple purely real Hurwitz numbers”, [ PDF: English, arXiv: 1809.04340 ]
  64. S. Chmutov, M. Kazarian, S. Lando, “Polynomial graph invariants and the KP hierarchy”, [ PDF: English, arXiv: 1803.09800 ]
  65. M. Finkelberg, V. Krylov, “Drinfeld-Gaitsgory interpolation Grassmannian and geometric Satake equivalence (with appendix by D. Gaitsgory)”, [ PDF: English, arXiv: 1805.07721 ]
  66. A. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “New symmetries of gl(N)-invariant Bethe vectors”, [ PDF: English, arXiv: 1810.00364 ]
  67. S. Alekseev, M. Litvinov, “On resummation of the irregular conformal block” [ PDF: English, arXiv: 1812.03387 ]
  68. A. Gorsky, M. Litvinov, “Metal or Insulator? Dirac operator spectrum in holographic QCD” [ PDF: English, arXiv: 1812.02321 ]
  69. I. Makhlin, “Gelfand-Tsetlin degenerations of representations and flag varieties” [ PDF: English, arXiv: 1809.02258 ]
  70. N. Nekrasov, “Superspin chains and supersymmetric gauge theories” [ PDF: English, arXiv: 1811.04278 ]
  71. G. Olshanski, “The topological support of the z-measures on the Thoma simplex”, [ PDF: English, arXiv: 1809.07125 ]
  72. C. Cuenca, G. Olshanski, “Elements of the q-Askey scheme in the algebra of symmetric functions”, [ PDF: English, arXiv: 1808.06179 ]
  73. O. Ogievetsky, S. Shlosman, “Extremal Cylinder Configurations I: Configuration Cm“, [ PDF: English, arXiv: 1812.09543 ]
  74. P. Pyatov, A. Trofimova, “Representations of finite-dimensional quotient algebras of the 3-string braid group”, [ PDF: English, arXiv: 1808.06395 ]
  75. A. Zabrodin, “Lectures on nonlinear integrable equations and their solutions”, [ PDF: English, arXiv: 1812.11830 ]
  76. A. Zabrodin, “Time discretization of the spin Calogero-Moser model and the semi-discrete matrix KP hierarchy”, [ PDF: English, arXiv: 1806.10525 ]
  77. A. Zabrodin, “On matrix modified KP hierarchy”, [ PDF: English, arXiv: 1802.02797 ]

  78. 2017 / peer-reviewed publications

  79. M. A. Bershtein, A. I. Shchechkin, “Backlund transformation of Painleve III(D8) tau function”, J. Phys. A: Math. Theor. 50 (2017) 115205. [ PDF: English, arXiv: 1608.02568 ]
  80. M. A. Bershtein, A. I. Shchechkin, “q-deformed Painleve τ function and q-deformed conformal blocks”, J. Phys. A: Math. Theor. 50 (2017) 085202. [ PDF: English, arXiv: 1608.02566 ]
  81. A. Braverman, M. Finkelberg, “Twisted zastava and q-Whittaker functions”, J. London Math. Soc. (2) 96 (2017) 309-325. [ PDF: English, arXiv: 1410.2365 ]
  82. E. Feigin, M. Finkelberg, M. Reineke, “Degenerate affine Grassmannians and loop quivers”, Kyoto J. Math., 57:2 (2017), 445-474
  83. E. Feigin, I. Makedonskyi, “Weyl modules for osp(1,2) and nonsymmetric Macdonald polynomials”, Math.Res.Lett., 24:3 (2017), 741–766
  84. E. A. Makedonskii, E. B. Feigin, “Generalized Weyl modules for twisted current algebras”, TMF, 192:2 (2017), 284–306; Theoret. and Math. Phys., 192:2 (2017), 1184–1204
  85. G. Cerulli Irelli, X. Fang, E. Feigin, G. Fourier, M. Reineke, “Linear degenerations of flag varieties”, Math. Z. (2017) 287: 615-654, [ PDF: English, arXiv: 1603.08395 ]
  86. E. Feigin, I. Makedonskyi, “Generalized Weyl modules, alcove paths and Macdonald polynomials”, Sel. Math. New Ser. (2017) 23: 2863 [ PDF: English, arXiv: 1512.03254 ]
  87. A. A. Gaifullin, “On an extension of the Birman–Craggs–Johnson homomorphism”, Russian Math. Surveys, 72:6 (2017), 1171–1173
  88. A. V. Ilyina, I. M. Krichever, “Triangular reductions of 2D Toda hierarchy,” Funkts. Anal. Prilozhen., 51:1 (2017), 60–81; English transl.: Funct. Anal. Appl., 51:1 (2017), 48–65. [ arXiv: 1609.05120, PDF: English ]
  89. M. Kazarian, S. Lando, D. Zvonkine, “Universal cohomological expressions for singularities in families of genus 0 stable maps”, Int. Math. Res. Notices, V.2018, 22, 6817–6843, https://doi.org/10.1093/imrn/rnx070
  90. S. Lando, V. Zhukov, “Delta-matroids and Vassiliev invariants”, Mosc. Math. J., 17:4(2017) 1-15
  91. A. Liashyk, D. Rudneva, A. Zabrodin, A. Zotov, “Asymmetric 6-vertex model and classical Ruijsenaars-Schneider system of particles”, Theoret. Math. Phys., 192:2 (2017) 1141-1153. [ PDF: English, arXiv: 1611.02497 ]
  92. A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “Scalar products of Bethe vectors in the models with gl(m|n) symmetry”, Nucl.Phys.B, 923 (2017) 277-311, [ PDF: English, arXiv: 1704.08173 ]
  93. A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “Norm of Bethe vectors in gl(m|n) based models”, Nuclear Phys. B, 926 (2018), 256–278 [ PDF: English, arXiv: 1705.09219 ]
  94. A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “Current presentation for the double super-Yangian $DY(\mathfrak{gl}(m|n))$ and Bethe vectors”, Russian Math. Surveys, 72:1 (2017), 33–99. [ PDF: English, arXiv: 1611.09620 ]
  95. G. Olshanski, “Analogue of big q-Jacobi polynomials in the algebra of symmetric functions”, Funct. Anal. Appl. 51:3(2017) 204-220. [ PDF: English, arXiv: 1705.06543 ]
  96. D. Abraham, C. M. Newman, S. Shlosman, “A continuum of pure states in the Ising model on a halfplane”, J. Stat. Phys. (2017). https://doi.org/10.1007/s10955-017-1918-4 [ PDF: English, arXiv: 1710.05411]
  97. S. Shlosman, “Crystals in the Void”, J. Stat. Phys., 169:3 (2017) 472–479, [ PDF: English, arXiv: 1706.08967 ]
  98. A. Rybko, S. Shlosman, A. Vladimirov, “Poisson hypothesis for open networks at low load”, Mosc. Math. J., 17:1 (2017), 145–160
  99. L. Manukyan, S.A. Montandon, A. Fofonjka, M. Milinkovitch, S. Smirnov, “A living mesoscopic cellular automaton made of skin scales”, Nature 544(7649) (2017), 173-179
  100. A. Zabrodin, A. Zotov, “QKZ-Ruijsenaars correspondence revisited”, Nucl.Phys.B 922 (2017) 113-125. [ PDF: English, arXiv: 1704.04527 ]

  101. 2017 / preprints

  102. E. Feigin, I. Makedonskyi, “Semi-infinite Plücker relations and Weyl modules”, [ PDF: English, arXiv: 1709.05674]
  103. E. Feigin, S. Kato, I. Makedonskyi, “Representation theoretic realization of non-symmetric Macdonald polynomials at infinity”, [ PDF: English, arXiv: 1703.04108 ]
  104. M. Finkelberg , M. Kapranov, V. Schechtman, “Fourier transform on hyperplane arrangements”, [ PDF: English, arXiv: 1712.07432 ]
  105. M. Finkelberg , “Double affine Grassmannians and Coulomb branches of 3d N=4 quiver gauge theories”, [ PDF: English, arXiv: 1712.03039 ]
  106. A. Braverman, M. Finkelberg, H. Nakajima, “Ring objects in the equivariant derived Satake category arising from Coulomb branches”, [ PDF: English, arXiv: 1706.02112 ]
  107. P. Gavrylenko, O. Lisovyy, “Pure SU(2) gauge theory partition function and generalized Bessel kernel”, [ PDF: English, arXiv: 1705.01869 ]
  108. D. Gandolfo, C. Maes, J. Ruiz, S. Shlosman, “Glassy states: the free Ising model on a tree”, [ PDF: English, arXiv: 1709.00543]
  109. D. Ioffe, S. Shlosman, “Formation of Facets for an Effective Model of Crystal Growth”, [ PDF: English, arXiv: 1704.06760 ]

  110. 2016 / peer-reviewed publications

  111. A. Braverman, M. Finkelberg, H. Nakajima, “Instanton moduli spaces and W-algebras”, Astérisque No. 385 (2016), vii+128 pp. [ PDF: English, arXiv: 1406.2381v5 ]

  112. 2016 / preprints

  113. A. Braverman, P. Etingof, M. Finkelberg, “Cyclotomic double affine Hecke algebras (with an appendix by Hiraku Nakajima and Daisuke Yamakawa)”, [ PDF: English, arXiv: 1611.10216 ]
  114. A. Ionov, “Primitive forms for Gepner singularities”, [ PDF: English, arXiv: 1611.03962 ]
  115. M. Semenyakin, Comment on “Linking spatial distributions of potential and current in viscous electronics”, [ PDF: English, arXiv: 1609.05316 ]
  116. A. Kemppainen, S. Smirnov, “Conformal invariance in random cluster models. II. Full scaling limit as a branching SLE”, [PDF: English, arXiv: 1609.08527 ]