| |
|
|
Buchstaber Victor Matveevich
(recent publications)
|
|
|
|
|
|
2026 |
| 1. |
Izv. Math., 90:1 (2026), 34–69 |
| 2. |
V. M. Buchstaber, M. I. Kornev, “$n$-valued monoids on $\mathbb{C}P^1$ and discriminants”, Russian Math. Surveys, 81:1 (2026), 191–193 |
| 3. |
V. M. Buchstaber, A. P. Veselov, “Algebraic topology of the Lagrange inversion”, 2026, arXiv: 2601.06814 [math.AG] |
| 4. |
E. Yu. Bunkova, V. M. Buchstaber, “Polynomial isomorphism for the family of parametric Korteweg–de Vries hierarchies”, TMF |
|
2026 |
| 5. |
Takanori Ayano, VictorM. Buchstaber, “Sigma Function Associated with a Hyperelliptic Curve with Two Points at Infinity”, Regul. Chaotic Dyn., 31:1 (2026), 69–82
|
1
[x]
|
| 6. |
V. M. Buchstaber, M. I. Kornev, “$n$-Valued Groups, Kronecker Sums, and Wendt Matrices”, Mat. Sb. |
|
2026 |
| 7. |
V. P. Platonov, Yu. V. Nesterenko, V. A. Bykovskii, V. M. Buchstaber, M. A. Korolev, V. G. Chirskii, V. N. Chubarikov, A. Laurinčikas, Z. Kh. Rakhmonov, N. M. Dobrovol'skii, N. N. Dobrovol'skii, I. Yu. Rebrova, N. V. Budarina, V. V. Beresnevich, D. V. Vasilyev, N. I. Kalosha, E. I. Kovalevskaya, V. V. Benyash-Krivets, Yu. S. Kharin, V. A. Shlyk, A. A. Yadchenko, V. G. Safonov, A. F. Vasil'ev, A. N. Skiba, V. S. Monakhov, V. V. Gorokhovik, “Vasily Ivanovich Bernik (9.01.1947 — 11.01.2026)”, Chebyshevskii Sb., 27:1 (2026), 199–200 |
|
2025 |
| 8. |
Artur Bille, Victor Buchstaber, Simon Coste, Satoshi Kuriki, Evgeny Spodarev, “Random eigenvalues of graphenes and the triangulation of plane”, J. Phys. A, 58:2 (2025), 25212, 31 pp., arXiv: 2306.01462
|
2
[x]
|
| 9. |
V. M. Buchstaber, “Kolmogorov widths, Grassmann manifolds and unfoldings of time series”, Sb. Math., 216:3 (2025), 314–332 |
| 10. |
Victor M. Buchstaber, Svjetlana Terzić, “Moduli spaces of weighted pointed stable curves and toric topology of Grassmann manifolds”, J. Geom. Phys., 215 (2025), 105533, 26 pp.
|
1
[x]
|
| 11. |
Artur Bille, Victor Buchstaber, Evgeny Spodarev, “Some open mathematical problems on fullerenes”, J. Chem. Inf. Model., 65:6 (2025), 2911–2923
|
1
[x]
|
| 12. |
Takanori Ayano, Victor M. Buchstaber, “Hyperelliptic sigma functions and the Kadomtsev–Petviashvili equation”, Phys. D, 485 (2025), 134819, 9 pp.
|
2
[x]
|
| 13. |
Artur Bille, Victor Buchstaber, Pavel Ievlev, Svyatoslav Novikov, Evgeny Spodarev, “Random eigenvalues of nanotubes”, J. Phys. A, 58:10 (2025), 105202, 34 pp.
|
1
[x]
|
| 14. |
Yu. V. Matiyasevich, V. M. Buchstaber, V. A. Bykovskii, N. P. Dolbilin, V. N. Chubarikov, M. A. Korolev, S. S. Demidov, Yu. V. Nesterenko, U. M. Pachev, A. L. Semenov, V. G. Chirskii, M. V. Kozlov, V. V. Kozlov, N. M. Dobrovol'skii, N. N. Dobrovol'skii, I. Yu. Rebrova, E. B. Shchirskaya, M. V. Filina, “Andrey Mikhailovich Zubkov (30.12.1946 — 06.08.2025)”, Chebyshevskii Sb., 26:3 (2025), 419–421 |
| 15. |
M. V. Bondarko, O. V. Demchenko, I. B. Zhukov, A. I. Madunts, P. N. Pital, Yu. V. Matiyasevich, V. N. Chubarikov, S. S. Demidov, V. M. Buchstaber, V. A. Bykovskii, M. A. Korolev, Yu. V. Nesterenko, U. M. Pachev, A. L. Semenov, V. G. Chirskii, N. M. Dobrovol'skii, N. N. Dobrovol'skii, I. Yu. Rebrova, “Sergey Vladimirovich Vostokov (13.04.1945 — 6.03.2025)”, Chebyshevskii Sb., 26:3 (2025), 416–418 |
|
2024 |
| 16. |
Victor Bukhshtaber, “Polynomial Eulerian characteristic of nilmanifolds”, Funct. Anal. Appl., 58:1 (2024), 17–33 |
| 17. |
Geometriya, topologiya, matematicheskaya fizika, Sbornik statei. K 85-letiyu akademika Sergeya Petrovicha Novikova, Trudy MIAN, 325, ed. V. M. Bukhshtaber, P. G. Grinevich, I. A. Dynnikov, O. K. Sheinman, MIAN, M., 2024, 333 pp. |
| 18. |
V. M. Buchstaber, E. Yu. Bunkova, “Formulas for Differentiating Hyperelliptic Functions with Respect to Parameters and Periods”, Proc. Steklov Inst. Math., 325 (2024), 60–73 |
| 19. |
V. M. Buchstaber, A. P. Veselov, “Todd Polynomials and Hirzebruch Numbers”, Proc. Steklov Inst. Math., 325 (2024), 74–85 |
| 20. |
Victor M. Buchstaber, Alexander V. Mikhailov, “KdV hierarchies and quantum Novikov's equations”, Open Commun. in Nonlin. Mathem. Physics, 2024, no. 1, 1–36, arXiv: 2109.06357v4
|
2
[x]
|
| 21. |
Anton Ayzenberg, Victor Buchstaber, “Cluster-permutohedra and submanifolds of flag varieties with torus actions”, Int. Math. Res. Not. IMRN, 2024:3 (2024), 1931–1967, arXiv: 2203.14133
|
1
[x]
|
| 22. |
V. M. Buchstaber, A. P. Veselov, “Chern–Dold character in complex cobordisms and theta divisors”, Adv. Math., 449 (2024), 109720, 35 pp., arXiv: 2007.05782
|
5
[x]
|
| 23. |
V. M. Buchstaber, A. Yu. Vesnin, “$n$-valued groups, branched coverings and hyperbolic 3-manifolds”, Sb. Math., 215:11 (2024), 1441–1467 |
| 24. |
V. M. Buchstaber, F. Yu. Popelenskii, “Cohomology of Hopf algebras and Massey products”, Russian Math. Surveys, 79:4 (2024), 567–648 |
| 25. |
V. M. Buchstaber, E. Yu. Bunkova, “Polynomial dynamical systems associated with the KdV hierarchy”, Part. Differ. Equ. in Appl. Math., 12 (2024), 100928, 6 pp.
|
1
[x]
|
| 26. |
V. M. Buchstaber, V. P. Platonov, A. L. Semenov, V. A. Bykovskii, Yu. V. Nesterenko, V. N. Chubarikov, N. M. Dobrovol'skii, “Sergei Petrovich Novikov (20.03.1938 – 6.06.2024)”, Chebyshevskii Sb., 25:2 (2024), 364–365 |
| 27. |
A. Ya. Belov, V. M. Buchstaber, V. B. Vasilyev, Yu. P. Virchenko, S. K. Kuizheva, A. G. Kusraev, D. K. Mamyi, A. B. Muravnik, A. V. Pskhu, S. A. Rozanova, Z. A. Saidov, A. L. Semenov, S. M. Sitnik, A. L. Skubachevskii, A. P. Soldatov, E. L. Shishkina, A. G. Yagola, “Sultan Nazhmudinovich Askhabov (on the 70-th anniversary of his birth)”, Chebyshevskii Sb., 25:2 (2024), 5–19 |
| 28. |
V. M. Buchstaber, F. Yu. Popelenskii, “Cohomology of the Heisenberg manifold sequence”, Journal of Mathematical Sciences, 284:1 (2024), 17–58 |
| 29. |
Victor M. Buchstaber, Svjetlana Terzić, “Compact torus action on the complex Grassmann manifolds”, Toric Topology and Polyhedral Products, Fields Inst. Commun., 89, Springer, Cham, 2024, 81–105
|
1
[x]
|
|
2023 |
| 30. |
V. M. Buchstaber, A. V. Mikhailov, “Cyclic Frobenius algebras”, Russian Math. Surveys, 78:1 (2023), 205–207 |
| 31. |
V. M. Buchstaber, S. P. Novikov, I. A. Taimanov, “Igor Moiseevich Krichever (obituary)”, Russian Math. Surveys, 78:1 (2023), 203–204 |
| 32. |
V. M. Buchstaber, A. V. Mikhailov, “KdV hierarchies and quantum Novikov's equations”, 2023, arXiv: 2109.06357 |
| 33. |
V. M. Buchstaber, S. Terzić, “The orbit spaces $G_{n,2}/T^n$ and the Chow quotients $G_{n,2}/\!/(\pmb{\mathbb{C}}^{\ast})^n$ of the Grassmann manifolds $G_{n,2}$”, Sb. Math., 214:12 (2023), 1694–1720 |
| 34. |
E. Yu. Bunkova, V. M. Buchstaber, “Explicit Formulas for Differentiation of Hyperelliptic Functions”, Math. Notes, 114:6 (2023), 1159–1170 |
| 35. |
V. M. Buchstaber, “The Mumford dynamical system and hyperelliptic Kleinian functions”, Funct. Anal. Appl., 57:4 (2023), 288–302 |
| 36. |
A. I. Shafarevich, V. N. Chubarikov, A. L. Semenov, V. M. Buchstaber, A. O. Ivanov, V. M. Tikhomirov, Vl. P. Vizgin, V. G. Chirskii, V. V. Kozlov, M. V. Kozlov, E. A. Zaytsev, G. S. Smirnova, V. N. Chinenova, N. M. Dobrovolsky, “Sergey Sergeevich Demidov (to the 80-th anniversary of his birth)”, Chebyshevskii Sb., 24:1 (2023), 334–355 |
| 37. |
V. M. Buchstaber, A. P. Veselov, “Todd polynomials and Hirzebruch numbers”, 2023, arXiv: 2310.07383 |
|
2022 |
| 38. |
V. A. Artamonov, L. A. Bokut', V. V. Borisenko, E. I. Bunina, V. M. Buchstaber, A. È. Guterman, Yu. L. Ershov, M. V. Zaitsev, A. Ya. Kanel'-Belov, A. R. Kemer, A. V. Mikhalev, S. P. Mishchenko, S. P. Novikov, A. Yu. Ol'shanskii, Yu. G. Prokhorov, Yu. P. Razmyslov, A. I. Shafarevich, I. V. Shestakov, “Victor Nikolaevich Latyshev (obituary)”, Russian Math. Surveys, 77:1 (2022), 165–170 |
| 39. |
Takanori Ayano, Victor M. Buchstaber, “Relationships Between Hyperelliptic Functions of Genus $2$ and Elliptic Functions”, SIGMA, 18 (2022), 10, 30 pp., arXiv: 2106.06764
|
1
[x]
|
| 40. |
V. I. Buslaev, V. M. Buchstaber, A. N. Dranishnikov, V. M. Kliatskine, S. A. Melikhov, L. Montejano, S. P. Novikov, P. V. Semenov, “Evgenii Vital'evich Shchepin (on his 70th birthday)”, Russian Math. Surveys, 77:3 (2022), 559–569 |
| 41. |
V. M. Buchstaber, A. P. Veselov, A. A. Gaifullin, “Classification of involutive commutative two-valued groups”, Russian Math. Surveys, 77:4 (2022), 651–727 |
| 42. |
E. Yu. Bunkova, V. M. Bukhshtaber, “Parametric Korteweg–de Vries hierarchy and hyperelliptic sigma functions”, Funct. Anal. Appl., 56:3 (2022), 169–187 |
| 43. |
Toricheskaya topologiya, deistviya grupp, geometriya i kombinatorika. Chast 1, Sbornik statei, Trudy MIAN, 317, ed. V. M. Bukhshtaber, A. A. Gaifullin, T. E. Panov, N. Yu. Erokhovets, MIAN, M., 2022, 210 pp. |
| 44. |
V. M. Buchstaber, S. Terzić, “Resolution of Singularities of the Orbit Spaces $G_{n,2}/T^n$”, Proc. Steklov Inst. Math., 317 (2022), 21–54 |
| 45. |
Toricheskaya topologiya, deistviya grupp, geometriya i kombinatorika. Chast 2, Sbornik statei, Trudy MIAN, 318, ed. V. M. Bukhshtaber, A. A. Gaifullin, T. E. Panov, N. Yu. Erokhovets, MIAN, M., 2022, 204 pp. |
| 46. |
A. V. Bolsinov, V. M. Buchstaber, A. P. Veselov, P. G. Grinevich, I. A. Dynnikov, V. V. Kozlov, Yu. A. Kordyukov, D. V. Millionshchikov, A. E. Mironov, R. G. Novikov, S. P. Novikov, A. A. Yakovlev, “Iskander Asanovich Taimanov (on his 60th birthday)”, Russian Math. Surveys, 77:6 (2022), 1159–1168 |
| 47. |
V. M. Buchstaber, A. P. Veselov, “Theta divisors and permutohedra”, 2022, arXiv: 2211.16042 |
| 48. |
Yu. V. Nesterenko, V. A. Bykovskii, V. M. Bukhshtaber, V. G. Chirskii, V. N. Chubarikov, A. P. Laurinčikas, N. M. Dobrovol'skii, N. N. Dobrovol'skii, I. Yu. Rebrova, N. V. Budarina, V. V. Beresnevich, D. V. Vasilyev, N. I. Kalosha, “Vasily Ivanovich Bernik (to the 75th anniversary)”, Chebyshevskii Sb., 23:1 (2022), 6–9 |
|
2021 |
| 49. |
Artur Bille, Victor Buchstaber, Evgeny Spodarev, “Spectral clustering of combinatorial fullerene isomers based on their facet graph structure”, J. Math. Chem., 59:1 (2021), 264–288
|
6
[x]
|
| 50. |
V. S. Atabekyan, L. D. Beklemishev, V. M. Buchstaber, S. S. Goncharov, V. S. Guba, Yu. L. Ershov, V. V. Kozlov, I. G. Lysenok, S. P. Novikov, Yu. S. Osipov, M. R. Pentus, V. V. Podolskii, A. A. Razborov, V. A. Sadovnichii, A. L. Semenov, A. L. Talambutsa, D. V. Treschev, L. N. Shevrin, “Sergei Ivanovich Adian (obituary)”, Russian Math. Surveys, 76:1 (2021), 177–181 |
| 51. |
A. A. Ayzenberg, V. M. Buchstaber, “Manifolds of isospectral arrow matrices”, Sb. Math., 212:5 (2021), 605–635 |
| 52. |
V. M. Buchstaber, E. Yu. Bunkova, “Hyperelliptic Sigma Functions and Adler–Moser Polynomials”, Funct. Anal. Appl., 55:3 (2021), 179–197 |
| 53. |
V. M. Buchstaber, A. P. Veselov, “Fricke identities, Frobenius $k$-characters and Markov equation”, Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry, Proc. Symp. Pure Math., 103.2, AMS, 2021, 67–78, arXiv: 1912.08705 |
| 54. |
V. M. Buchstaber, A. V. Mikhailov, “Integrable polynomial Hamiltonian systems and symmetric powers of plane algebraic curves”, Russian Math. Surveys, 76:4 (2021), 587–652 |
| 55. |
V. M. Buchstaber, A. N. Varchenko, A. P. Veselov, P. G. Grinevich, S. Grushevsky, S. Yu. Dobrokhotov, A. V. Zabrodin, A. V. Marshakov, A. E. Mironov, N. A. Nekrasov, S. P. Novikov, A. Yu. Okounkov, M. A. Olshanetsky, A. K. Pogrebkov, I. A. Taimanov, M. A. Tsfasman, L. O. Chekhov, O. K. Sheinman, S. B. Shlosman, “Igor' Moiseevich Krichever (on his 70th birthday)”, Russian Math. Surveys, 76:4 (2021), 733–743 |
| 56. |
V. M. Buchstaber, S. I. Tertychnyi, “Categories of Symmetry Groups of the Space of Solutions of the Special Doubly Confluent Heun Equation”, Math. Notes, 110:5 (2021), 643–654 |
| 57. |
Topology, Geometry and Dynamics: V. A. Rokhlin - Memorial (Conference on Topology, Geometry, and Dynamics: V. A. Rokhlin-100, August 19–23, 2019, The Euler International Mathematical Institute, St. Petersburg, Russia, Steklov Institute of Mathematics, St. Petersburg, Russia), Contemp. Math., 772, eds. A. M. Vershik, V. M. Buchstaber, A. V. Malyutin, AMS, 2021, 347 pp. |
| 58. |
V. M. Buchstaber, “Vladimir Abramovich Rokhlin and algebraic topology”, Topology, Geometry and Dynamics: V. A. Rokhlin - Memorial, Contemp. Math., 772, AMS, 2021, 33–67
|
1
[x]
|
| 59. |
Anton Ayzenberg, Victor Buchstaber, “Manifolds of isospectral matrices and Hessenberg varieties”, Int. Math. Res. Not. IMRN, 2021, no. 21, 16671–16692
|
10
[x]
|
| 60. |
V. M. Buchstaber, S. S. Demidov, V. B. Demidovich, D. V. Millionshchikov, S. P. Novikov, V. A. Skvortsov, V. M. Tikhomirov, V. N. Chubarikov, K. E. Yakimova, “To memory of Elena Aleksandrovna Morozova”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 6, 63–70 |
|
2020 |
| 61. |
V. M. Buchstaber, V. Z. Enolski, D. V. Leykin, “$\sigma$-functions: old and new results”, Integrable Systems and Algebraic Geometry, v. 2, LMS Lecture Note Series, no. 459, Cambridge Univ. Press, 2020, 175–214
|
23
|
| 62. |
S. I. Adian, V. M. Buchstaber, E. I. Zelmanov, S. V. Kislyakov, V. V. Kozlov, Yu. V. Matiyasevich, S. P. Novikov, D. O. Orlov, A. N. Parshin, V. L. Popov, D. V. Treschev, “Vladimir Petrovich Platonov (on his 80th birthday)”, Russian Math. Surveys, 75:2 (2020), 387–391 |
| 63. |
A. M. Astashov, I. V. Astashova, A. V. Bocharov, V. M. Buchstaber, V. A. Vassiliev, A. Verbovetsky, A. M. Vershik, A. P. Veselov, M. M. Vinogradov, L. Vitagliano, R. F. Vitolo, Th. Th. Voronov, V. G. Kac, Y. Kosmann-Schwarzbach, I. S. Krasil'shchik, I. M. Krichever, A. P. Krishchenko, S. K. Lando, V. V. Lychagin, M. Marvan, V. P. Maslov, A. S. Mishchenko, S. P. Novikov, V. N. Rubtsov, A. V. Samokhin, A. B. Sossinsky, J. Stasheff, D. B. Fuchs, A. Ya. Khelemsky, N. G. Khor'kova, V. N. Chetverikov, A. S. Schwarz, “Alexandre Mikhailovich Vinogradov (obituary)”, Russian Math. Surveys, 75:2 (2020), 369–375 |
| 64. |
V. M. Buchstaber, S. I. Tertychnyi, “Group algebras acting on the space of solutions of a special double confluent Heun equation”, Theoret. and Math. Phys., 204:2 (2020), 967–983 |
| 65. |
V. M. Buchstaber, E. Yu. Bunkova, “Lie Algebras of Heat Operators in a Nonholonomic Frame”, Math. Notes, 108:1 (2020), 15–28 |
| 66. |
V. M. Buchstaber, “Partially framed manifolds and loop spaces on the group $\operatorname{SU}(2)$”, Russian Math. Surveys, 75:4 (2020), 782–784 |
| 67. |
V. M. Buchstaber, “Multidimensional Sigma Functions and Applications”, Victor Enolski (1945–2019), Notices Amer. Math. Soc., 67, no. 11, 2020, 1756–1760
|
2
[x]
|
| 68. |
T. Ayano, V. M. Buchstaber, “Analytical and number-theoretical properties of the two-dimensional sigma function”, Chebyshevskii Sb., 21:1 (2020), 9–50 |
| 69. |
V. M. Buchstaber, E. Yu. Bunkova, “Sigma Functions and Lie Algebras of Schrödinger Operators”, Funct. Anal. Appl., 54:4 (2020), 229–340 |
| 70. |
M. Braverman, V. M. Buchstaber, M. Gromov, V. Ivrii, Yu. A. Kordyukov, P. Kuchment, V. Maz'ya, S. P. Novikov, T. Sunada, L. Friedlander, A. G. Khovanskii, “Mikhail Aleksandrovich Shubin (obituary)”, Russian Math. Surveys, 75:6 (2020), 1143–1152 |
| 71. |
V. M. Buchstaber, S. Terzić, A resolution of singularities for the orbit spaces $G_{n,2}/T^n$, 2020, 44 pp., arXiv: 2009.01580v1 |
| 72. |
V. M. Buchstaber, S. Igonin, S. Konstantinou-Rizos, M. M. Preobrazhenskaia, “Yang–Baxter maps, Darboux transformations, and linear approximations of refactorisation problems”, J. Phys. A, 53:50 (2020), 504002, 22 pp.
|
11
[x]
|
| 73. |
V. M. Buchstaber, M. A. Korolev, “On the scientific works of Dmitry Alexandrovich Popov”, Chebyshevskii Sb., 21:4 (2020), 396–421 |
|
2019 |
| 74. |
V. M. Buchstaber, A. P. Veselov, “Conway topograph, $\mathrm{PGL}_2(\pmb{\mathbb Z})$-dynamics and two-valued groups”, Russian Math. Surveys, 74:3 (2019), 387–430 |
| 75. |
V. A. Artamonov, V. M. Buchstaber, È. B. Vinberg, L. V. Kuz'min, V. S. Kulikov, V. N. Latyshev, A. V. Mikhalev, A. Yu. Ol'shanskii, D. O. Orlov, A. N. Parshin, D. I. Piontkovskii, “Evgenii Solomonovich Golod (obituary)”, Russian Math. Surveys, 74:5 (2019), 927–933 |
| 76. |
V. M. Buchstaber, S. Terzić, “The foundations of $(2n,k)$-manifolds”, Sb. Math., 210:4 (2019), 508–549 |
| 77. |
Takanori Ayano, Victor M. Buchstaber, “Construction of Two Parametric Deformation of KdV-Hierarchy and Solution in Terms of Meromorphic Functions on the Sigma Divisor of a Hyperelliptic Curve of Genus 3”, SIGMA, 15 (2019), 32, 15 pp., arXiv: 1811.07138
|
2
[x]
|
| 78. |
T. Ayano, V. M. Buchstaber, “Ultraelliptic integrals and two-dimensional sigma-functions”, Funct. Anal. Appl., 53:3 (2019), 157–173 |
| 79. |
V. M. Buchstaber, I. Yu. Limonchenko, “Massey products, toric topology and combinatorics of polytopes”, Izv. Math., 83:6 (2019), 1081–1136 |
| 80. |
V. M. Buchstaber, A. A. Glutsyuk, “Total positivity, Grassmannian and modified Bessel functions”, Functional Analysis and Geometry: Selim Grigorievich Krein Centennial, Contemp. Math., 733, AMS, 2019, 97–107
|
5
[x]
|
| 81. |
V. A. Alexandrov, L. D. Beklemishev, V. M. Buchstaber, A. Yu. Vesnin, A. A. Gaifullin, N. P. Dolbilin, N. Yu. Erokhovets, M. D. Kovalev, V. S. Makarov, S. P. Novikov, D. O. Orlov, A. N. Parshin, I. Kh. Sabitov, D. V. Treschev, O. K. Sheinman, E. V. Shchepin, “Mikhail Ivanovich Shtogrin (on his 80th birthday)”, Russian Math. Surveys, 74:6 (2019), 1159–1162 |
| 82. |
V. M. Buchstaber, S. Terzić, “Toric topology of the complex Grassmann manifolds”, Mosc. Math. J., 19:3 (2019), 397–463
|
9
[x]
|
|
2018 |
| 83. |
V. M. Buchstaber, S. I. Tertychnyi, “Representations of the Klein Group Determined by Quadruples of Polynomials Associated with the Double Confluent Heun Equation”, Math. Notes, 103:3 (2018), 357–371 |
| 84. |
V. M. Buchstaber, P. A. Kuchment, S. P. Novikov, E. M. Semenov, “To the memory of Selim Grigor'evich Krein (1917–1998)”, Russian Math. Surveys, 73:1 (2018), 187–190 |
| 85. |
B. A. Amosov, V. M. Buchstaber, M. M. Malamud, S. P. Novikov, G. V. Rozenblum, T. A. Suslina, L. F. Friedlander, A. A. Shkalikov, “Mikhail Semenovich Agranovich (obituary)”, Russian Math. Surveys, 73:1 (2018), 161–167 |
| 86. |
V. M. Buchstaber, S. Terzic, Toric topology of the complex Grassmann manifolds, 2018, arXiv: 1802.06449v2 |
| 87. |
Topologiya i fizika, Sbornik statei. K 80-letiyu so dnya rozhdeniya akademika Sergeya Petrovicha Novikova, Trudy MIAN, 302, ed. V. M. Bukhshtaber, I. A. Dynnikov, O. K. Sheinman, MAIK «Nauka/Interperiodika», M., 2018, 399 pp. |
| 88. |
V. M. Buchstaber, “Cobordisms, manifolds with torus action, and functional equations”, Proc. Steklov Inst. Math., 302 (2018), 48–87 |
| 89. |
V. M. Buchstaber, V. A. Vassiliev, A. Yu. Vesnin, I. A. Dynnikov, Yu. G. Reshetnyak, A. B. Sossinsky, I. A. Taimanov, V. G. Turaev, A. T. Fomenko, E. A. Fominykh, A. V. Chernavsky, “Sergei Vladimirovich Matveev (on his 70th birthday)”, Russian Math. Surveys, 73:4 (2018), 737–746 |
| 90. |
V. M. Buchstaber, V. I. Dragovich, “Two-Valued Groups, Kummer Varieties, and Integrable Billiards”, Arnold Math. J., 4:1 (2018), 27–57
|
7
[x]
|
| 91. |
A. I. Aptekarev, V. M. Buchstaber, V. A. Vassiliev, M. L. Gromov, Yu. S. Ilyashenko, B. S. Kashin, V. M. Keselman, V. V. Kozlov, M. L. Kontsevich, I. M. Krichever, N. G. Kruzhilin, S. K. Lando, Yu. I. Manin, G. A. Margulis, S. Yu. Nemirovski, S. P. Novikov, Yu. G. Reshetnyak, Ya. G. Sinai, S. P. Suetin, D. V. Treschev, D. B. Fuchs, A. G. Khovanskii, E. M. Chirka, A. S. Schwarz, A. N. Shiryaev, “Vladimir Antonovich Zorich (on his 80th birthday)”, Russian Math. Surveys, 73:5 (2018), 935–939 |
| 92. |
G. G. Amosov, Al. V. Bulinski, An. V. Bulinski, V. M. Buchstaber, I. A. Ibragimov, V. P. Maslov, A. Ya. Helemskii, A. M. Chebotarev, M. E. Shirokov, A. N. Shiryaev, “Alexander Semenovich Holevo (on his 75th birthday)”, Russian Math. Surveys, 73:6 (2018), 1131–1136 |
| 93. |
V. Buchstaber, V. Enolski, D. Leykin, “Multi-variable sigma-functions: old and new results”, 2018, arXiv: 1810.11079 |
| 94. |
V. Buchstaber, I. Limonchenko, “Direct families of polytopes with nontrivial massey products”, 2018, arXiv: 1811.02221v1 |
| 95. |
V. M. Buchstaber, A. V. Mikhailov, “Polynomial Hamiltonian integrable systems on symmetric powers of plane curves”, Russian Math. Surveys, 73:6 (2018), 1122–1124 |
| 96. |
T. Ayano, V. M. Buchstaber, Construction of two parametric deformation of KdV-hierarchy and solution in terms of meromorphic functions on the sigma divisor of a hyperelliptic curve of genus 3, 2018, arXiv: 1811.07138v1 |
| 97. |
T. Ayano, V. M. Buchstaber, The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus 3 and applications, 2018, arXiv: 1811.05806v1 |
| 98. |
Victor M. Buchstaber, Sotiris Konstantinou-Rizos, Alexander V. Mikhailov, MP 2016 (Kezenoi-Am, Russia, 31 October–2 November, 2016), Springer Proceedings in Mathematics & Statistics, 273, Springer, Cham, 2018, xi+216 pp.
|
4
[x]
|
| 99. |
Victor M. Buchstaber, Sotiris Konstantinou-Rizos, Alexander V. Mikhailov, “Introduction”, Recent developments in integrable systems and related topics of mathematical physics, MP 2016 (Kezenoi-Am, Russia, 31 October–2 November, 2016), Springer Proceedings in Mathematics & Statistics, 273, Springer, Cham, 2018, 1-2 |
| 100. |
I. V. Arzhantsev, V. M. Buchstaber, L. V. Kuz'min, V. S. Kulikov, A. Yu. Ol'shanskii, D. O. Orlov, A. N. Parshin, D. I. Piontkovskii, Yu. G. Prokhorov, “Evgenii Solomonovich Golod”, Chebyshevskii Sb., 19:2 (2018), 542–545 |
|
2017 |
| 101. |
V. M. Buchstaber, A. V. Mikhailov, “Infinite-Dimensional Lie Algebras Determined by the Space of Symmetric Squares of Hyperelliptic Curves”, Funct. Anal. Appl., 51:1 (2017), 2–21 |
| 102. |
V. M. Buchstaber, A. A. Glutsyuk, “On Monodromy Eigenfunctions of Heun Equations and Boundaries of Phase-Lock Areas in a Model of Overdamped Josephson Effect”, Proc. Steklov Inst. Math., 297 (2017), 50–89 |
| 103. |
Victor M. Buchstaber, Nikolay Yu. Erokhovets, “Finite sets of operations sufficient to construct any fullerene from $C_{20}$”, Structural Chemistry, 28:1 (2017), 225–234
|
13
[x]
|
| 104. |
V. M. Buchstaber, N. Yu. Erokhovets, M. Masuda, T. E. Panov, S. Park, “Cohomological rigidity of manifolds defined by 3-dimensional polytopes”, Russian Math. Surveys, 72:2 (2017), 199–256 |
| 105. |
V. M. Buchstaber, N. Yu. Erokhovets, “Constructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopes”, Izv. Math., 81:5 (2017), 901–972 |
| 106. |
T. Ayano, V. M. Buchstaber, “The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus 3 and applications”, Funct. Anal. Appl., 51:3 (2017), 162–176 |
| 107. |
V. M. Buchstaber, “Polynomial Lie algebras and the Zelmanov–Shalev theorem”, Russian Math. Surveys, 72:6 (2017), 1168–1170 |
| 108. |
V. M. Buchstaber, A. A. Glutsyuk, Total positivity, Grassmannian and modified Bessel functions, 2017, arXiv: 1708.02154v1 |
| 109. |
V. M. Buchstaber, A. V. Mikhailov, The space of symmetric squares of hyperelliptic curves and integrable Hamiltonian polynomial systems on $R^4$, 2017, arXiv: 1710.00866v1 |
| 110. |
V. M. Buchstaber, Nikolay Yu. Erokhovets, “Fullerenes, polytopes and toric topology”, Combinatorial and toric homotopy. Introductory lectures, Lect. Notes Ser., Inst. Math. Sci., Natl. Univ. Singap., 35, World Scientific, 2017, 67–178
|
10
[x]
|
|
2016 |
| 111. |
Algebra, geometriya i teoriya chisel, Sbornik statei. K 75-letiyu so dnya rozhdeniya akademika Vladimira Petrovicha Platonova, Trudy MIAN, 292, ed. V. M. Bukhshtaber, A. G. Sergeev, MAIK «Nauka/Interperiodika», M., 2016, 279 pp. |
| 112. |
E. Yu. Bunkova, V. M. Buchstaber, A. V. Ustinov, “Coefficient Rings of Tate Formal Groups Determining Krichever Genera”, Proc. Steklov Inst. Math., 292 (2016), 37–62 |
| 113. |
Victor M. Buchstaber, Svjetlana Terzić, “Topology and geometry of the canonical action of $T^4$ on the complex Grassmannian $G_{4,2}$ and the complex projective space $\mathbb CP^5$”, Mosc. Math. J., 16:2 (2016), 237–273, arXiv: 1410.2482
|
21
[x]
|
| 114. |
V. M. Buchstaber, “Polynomial dynamical systems and the Korteweg–de Vries equation”, Proc. Steklov Inst. Math., 294 (2016), 176–200 |
| 115. |
V. M. Buchstaber, S. I. Tertychnyi, “Automorphisms of the solution spaces of special double-confluent Heun equations”, Funct. Anal. Appl., 50:3 (2016), 176–192 |
| 116. |
V. M. Buchstaber, A A Glutsyuk, “On determinants of modified Bessel functions and entire solutions of double confluent Heun equations”, Nonlinearity, 29 (2016), 3857–3870, arXiv: 1509.01725
|
10
[x]
|
| 117. |
V. E. Adler, Yu. Yu. Berest, V. M. Buchstaber, P. G. Grinevich, B. A. Dubrovin, I. M. Krichever, S. P. Novikov, A. N. Sergeev, M. V. Feigin, J. Felder, E. V. Ferapontov, O. A. Chalykh, P. I. Etingof, “Alexander Petrovich Veselov (on his 60th birthday)”, Russian Math. Surveys, 71:6 (2016), 1159–1176 |
| 118. |
V. M. Buchstaber, S. M. Gusein-Zade, M. È. Kazarian, V. V. Kozlov, S. K. Lando, S. P. Novikov, D. O. Orlov, A. G. Khovanskii, “Viktor Anatol'evich Vassiliev (on his 60th birthday)”, Russian Math. Surveys, 71:6 (2016), 1153–1157 |
| 119. |
Yu. V. Nesterenko, V. A. Bykovskii, V. M. Buchstaber, V. G. Chirsky, V. N. Chubarikov, A. Laurinchikas, N. M. Dobrovolsky, N. V. Budarina, I. V. Gaishun, V. V. Beresnevich, D. V. Vasiliev, “Vasily Ivanovich Bernik (on his seventieth)”, Chebyshevskii Sb., 17:4 (2016), 203–210 |
| 120. |
V. M. Buchstaber, T. E. Panov, “On manifolds defined by 4-colourings of simple 3-polytopes”, Russian Math. Surveys, 71:6 (2016), 1137–1139 |
|
2015 |
| 121. |
V. M. Buchstaber, T. E. Panov, Toric Topology, Mathematical Surveys and Monographs, 204, Amer. Math. Soc., 2015, 518 pp., arXiv: 1210.2368v3
|
247
[x]
|
| 122. |
S. I. Adian, V. V. Benyash-Krivets, V. M. Buchstaber, E. I. Zelmanov, V. V. Kozlov, G. A. Margulis, S. P. Novikov, A. N. Parshin, G. Prasad, A. S. Rapinchuk, L. D. Faddeev, V. I. Chernousov, “Vladimir Petrovich Platonov (on his 75th birthday)”, Russian Math. Surveys, 70:1 (2015), 197–201 |
| 123. |
V. M. Buchstaber, S. I. Tertychnyi, “Holomorphic solutions of the double confluent Heun equation associated with the RSJ model of the Josephson junction”, Theoret. and Math. Phys., 182:3 (2015), 329–355 |
| 124. |
S. M. Aseev, V. M. Buchstaber, R. I. Grigorchuk, V. Z. Grines, B. M. Gurevich, A. A. Davydov, A. Yu. Zhirov, E. V. Zhuzhoma, M. I. Zelikin, A. B. Katok, A. V. Klimenko, V. V. Kozlov, V. P. Leksin, M. I. Monastyrskii, A. I. Neishtadt, S. P. Novikov, E. A. Sataev, Ya. G. Sinai, A. M. Stepin, “Dmitrii Viktorovich Anosov (obituary)”, Russian Math. Surveys, 70:2 (2015), 369–381 |
| 125. |
V. M. Buchstaber, E. Yu. Bunkova, “The universal formal group that defines the elliptic function of level 3”, Chebyshevskii Sb., 16:2 (2015), 66–78 |
| 126. |
V. M. Buchstaber, N. Yu. Erokhovets, “Truncations of Simple Polytopes and Applications”, Proc. Steklov Inst. Math., 289 (2015), 104–133 |
| 127. |
V. M. Buchstaber, S. I. Tertychnyi, “On a Remarkable Sequence of Bessel Matrices”, Math. Notes, 98:5 (2015), 714–724 |
| 128. |
V. M. Buchstaber, A. V. Ustinov, “Coefficient rings of formal group laws”, Sb. Math., 206:11 (2015), 1524–1563 |
| 129. |
V. M. Buchstaber, E. Yu. Bunkova, “Manifolds of Solutions for Hirzebruch Functional Equations”, Proc. Steklov Inst. Math., 290 (2015), 125–137 |
| 130. |
V. M. Buchstaber, V. N. Dubinin, V. A. Kaliaguine, B. S. Ka | |