Fundamental mathematics: algebraic topology, applications of topology in combinatorics and combinatorial geometry, Lie Group theory, multivalued groups, functional equations, theory of abelian functions.
Victor Matveevich Buchstaber [Bukhshtaber] was born in the family of an army officer, in Tashkent, on 1 April, 1943. In 1960 Buchstaber entered the Faculty of Mechanics and Mathematics of the Tashkent State University. On the initiative of the Department of Higher Geometry and Topology, in 1964 he was transferred to the Faculty of Mechanics and Mathematics of the Moscow State University. In 1966 Buchstaber graduated from the Moscow State University. In 1966-69 he was a postgraduate student in the Faculty of Mechanics and Mathematics of the Moscow State University, under the supervision of S.P. Novikov and D. B. Fuks (Fuchs). Upon the completion of his post-graduate studies, in 1970 he defended his PhD dissertation “Cohomological operations in generalized cohomology theories”. In 1971 he was awarded a Young Scholars Prize of the Moscow Mathematical Society for his contribution to K-theory and cobordism theory. In 1984 he defended his dissertation “Two-valued formal groups. Algebraic theory and topological applications” towards a DSc degree in physical and mathematical sciences. In 2006 V. M. Buchstaber became a corresponding member of the Russian Academy of Sciences.
Now V.M. Buchstaber is a principle researcher in the Department of Geometry and Topology of the Steklov Mathematical Institute.
In 1969, on completing the post-graduate program Buchshtaber began to work at the All-Union Research Institute of Physical, Technical, and Radiotechnical Measurements, where he made his way from a research assistant to the head of the Laboratory of Complex Information Systems Metrology and Mathematical Modelling. While at the Institute of Physical, Technical, and Radiotechnical Measurements, he governed large-scale parts of government programmes.
Since 1996, he was working on a part-time basis as a senior researcher in the Department of Geometry and Topology of the Steklov Mathematical Institute. Since 2002 he works full time in the Steklov Mathematical Institute and still holds a part-time position at the All-Union Research Institute of Physical, Technical, and Radiotechnical Measurements.
Since 1993 Buchstaber has been teaching in the Department of Higher Geometry and Topology of the Faculty of Mechanics and Mathematics of the Moscow State University, since 2000 as a professor. Since 2007 he works as a principle researcher at the A.A Kharkevich Institute for Information Transmission Problems of the RAS. In 2005-2010 V.M. Buchstaber also worked as a professor of the Manchester University on a part-time basis.
Since 1994 Buchstaber has held valuable scientific and administrative positions in international and Russian scientific organizations. He is a member of the governing body of the Moscow Mathematical Society (since 1994), and in 2010 was elected its vice-president. From 2001 till 2008 he was a member of the Executive Committee of the European Mathematical Society. Now he is a member of the National Committee of Mathematicians of the Russian Federation, a deputy chairman of the Expert Committee of the Russian Foundation for Basic Research (RFBR), a member of the Expert Council on Mathematics and Mechanics of the Higher Certification Committee of the Russian Federation, a member of the Scientific Council of the French-Russian Poncelet Laboratory of mathematics, informatics and mathematical physics, under the auspices of the RAS, IUM and CNRS.
V.M. Buchstaber is a deputy editor-in-chief of the “Uspekhi Matematicheskikh Nauk” journal (since 1995), a member of the editorial board of the “Funktsional’nyi Analiz i ego Prilozheniya” journal (since 1995), a member of the editorial council of “Teoriya Veroyatnostei i ee Prilozheniya” journal (since 1997), a member of the editorial board of the “Moscow Mathematical Journal” (since 2001), a member of the editorial board of the “Tbilisi Mathematical Journal” (since 2006), a member of the editorial board of the “Trudy Matematicheskogo Instituta im. Steklova” (since 2008).
As a member of the programme and organizing committees, he does much work in arranging international mathematical conferences in Russia and abroad. In 1998 Buchstaber was the chairman of the organizing committee of the international conference “Solitons, Geometry and Topology: on the Crossroads” which was dedicated to the 60th birthday of S. P. Novikov. In 2004 and 2008 he was the co-chairman of satellite conferences of European Mathematical Congresses. In 2008 Buchstaber was the chairman of LXXI Moscow Mathematics Olympiad.
In 1974 V.M. Buchstaber was invited to the International Congress of Mathematicians in Vancouver (Canada) as a speaker. He gave honorary invited talks in many leading research centres around the world. He was invited as a principal lecturer (Adams memorial lecturer) to the J. F. Adams Memorial Conference in Manchester, Great Britain (1995), to the Joint Brandeis-Harvard-MIT-Northestern Mathematical Colloquium, Boston, USA (2001), Leicester Special Mathematical Event: The Worlds of Mathematics, Lester, Great Britain (2008), to the Berlin Mathematical School Colloquium, Urania, Berlin, Germany (2010).
In 2004 V.M. Buchstaber was elected a foreign member of the Scotland Academy of Sciences, and in 2010 was made a honorary professor of the Manchester University.
Buchstaber is the author of more than 250 research papers and monographs in mathematics, applied mathematics, mathematical physics, and applied statistics. The cycle of his works “Effective analysis on Riemann surfaces. The theory of Klein sigma functions.” was included into the list of best works of the Russian Academy of Sciences in 1999, a cycle of his papers on toric topology was included into the list of best works of the Steklov Mathematical Institute in 2007. V. Buchstaber has founded a large scientific school on algebraic topology and its applications. He has supervised over 20 PhD theses.
Main publications:
V. M. Buchstaber, T. E. Panov, Toric Topology, Mathematical Surveys and Monographs, 204, Amer. Math. Soc., 2015 , 518 pp., arXiv: 1210.2368v3
V. M. Bukhshtaber, T. E. Panov, “Deistviya torov, kombinatornaya topologiya i gomologicheskaya algebra”, UMN, 55:5(335) (2000), 3–106
V. M. Bukhshtaber, D. V. Leikin, V. Z. Enolskii, “Uniformizatsiya mnogoobrazii Yakobi trigonalnykh krivykh i nelineinye differentsialnye uravneniya”, Funkts. analiz i ego pril., 34:3 (2000), 1–16
V. M. Bukhshtaber, “Funktsionalnye uravneniya, assotsiirovannye s teoremami slozheniya dlya ellipticheskikh funktsii, i dvuznachnye algebraicheskie gruppy”, UMN, 45:3(273) (1990), 185–186
V. M. Bukhshtaber, “Dvuznachnye formalnye gruppy. Algebraicheskaya teoriya i prilozheniya k kobordizmam. I”, Izv. AN SSSR. Ser. matem., 39:5 (1975), 1044–1064
V. M. Bukhshtaber, “Kharakter Chzhenya–Dolda v kobordizmakh. I”, Matem. sb., 83(125):4(12) (1970), 575–595
Victor Bukhshtaber, “Polynomial Eulerian characteristic of nilmanifolds”, Funct. Anal. Appl., 58:1 (2024), 17–33
3.
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
4.
V. M. Buchstaber, A. P. Veselov, “Todd Polynomials and Hirzebruch Numbers”, Proc. Steklov Inst. Math., 325 (2024), 74–85
5.
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
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;
7.
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
V. M. Buchstaber, A. Yu. Vesnin, “n-valued groups, branched covering and three-dimensional hyperbolic manifolds”, Mat. Sb.
2024
9.
V. M. Buchstaber, F. Yu. Popelenskii, “Cohomology of Hopf algebras and Massey products”, Russian Math. Surveys, 79:4 (2024), 567–648
10.
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. ;
11.
V. M. Buchstaber, F. Yu. Popelenskii, “Cohomology of the Heisenberg manifold sequence”, Journal of Mathematical Sciences, 284:1 (2024), 17–58
2023
12.
V. M. Buchstaber, A. V. Mikhailov, “Cyclic Frobenius algebras”, Russian Math. Surveys, 78:1 (2023), 205–207
13.
A. Bille, V. Buchstaber, S. Coste, S. Kuriki, E. Spodarev, “Random eigenvalues of graphenes and the triangulation of plane”, 2023, arXiv: 2306.01462
14.
V. M. Buchstaber, A. V. Mikhailov, “KdV hierarchies and quantum Novikov's equations”, 2023, arXiv: 2109.06357
15.
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
16.
E. Yu. Bunkova, V. M. Buchstaber, “Explicit Formulas for Differentiation of Hyperelliptic Functions”, Math. Notes, 114:6 (2023), 1159–1170
17.
V. M. Buchstaber, “The Mumford dynamical system and hyperelliptic Kleinian functions”, Funct. Anal. Appl., 57:4 (2023), 288–302
18.
V. M. Buchstaber, A. P. Veselov, “Todd polynomials and Hirzebruch numbers”, 2023, arXiv: 2310.07383
2022
19.
Takanori Ayano, Victor M. Buchstaber, “Relationships Between Hyperelliptic Functions of Genus $2$ and Elliptic Functions”, SIGMA, 18 (2022), 10 , 30 pp., arXiv: 2106.06764;
V. M. Buchstaber, A. P. Veselov, A. A. Gaifullin, “Classification of involutive commutative two-valued groups”, Russian Math. Surveys, 77:4 (2022), 651–727
21.
E. Yu. Bunkova, V. M. Bukhshtaber, “Parametric Korteweg–de Vries hierarchy and hyperelliptic sigma functions”, Funct. Anal. Appl., 56:3 (2022), 169–187
22.
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
23.
V. M. Buchstaber, A. P. Veselov, “Theta divisors and permutohedra”, 2022, arXiv: 2211.16042
2021
24.
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
V. M. Buchstaber, E. Yu. Bunkova, “Hyperelliptic Sigma Functions and Adler–Moser Polynomials”, Funct. Anal. Appl., 55:3 (2021), 179–197
27.
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;
28.
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
29.
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
30.
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.
31.
V. M. Buchstaber, “Vladimir Abramovich Rokhlin and algebraic topology”, Topology, Geometry and Dynamics: V. A. Rokhlin - Memorial, Contemp. Math., 772, AMS, 2021, 33–68
32.
Anton Ayzenberg, Victor Buchstaber, “Manifolds of isospectral matrices and Hessenberg varieties”, Int. Math. Res. Not. IMRN, 2021:21 (2021), 16669–16690;
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
34.
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
35.
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
36.
V. M. Buchstaber, E. Yu. Bunkova, “Lie Algebras of Heat Operators in a Nonholonomic Frame”, Math. Notes, 108:1 (2020), 15–28
37.
V. M. Buchstaber, “Partially framed manifolds and loop spaces on the group $\operatorname{SU}(2)$”, Russian Math. Surveys, 75:4 (2020), 782–784
38.
V. M. Buchstaber, “Multidimensional Sigma Functions and Applications”, Victor Enolski (1945–2019), Notices Amer. Math. Soc., 67, no. 11, 2020, 1756–1760
T. Ayano, V. M. Buchstaber, “Analytical and number-theoretical properties of the two-dimensional sigma function”, Chebyshevskii Sb., 21:1 (2020), 9–50
40.
V. M. Buchstaber, E. Yu. Bunkova, “Sigma Functions and Lie Algebras of Schrödinger Operators”, Funct. Anal. Appl., 54:4 (2020), 229–340
41.
V. M. Buchstaber, S. Terzić, A resolution of singularities for the orbit spaces $G_{n,2}/T^n$, 2020 , 44 pp., arXiv: 2009.01580v1
42.
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. ;
V. M. Buchstaber, M. A. Korolev, “On the scientific works of Dmitry Alexandrovich Popov”, Chebyshevskii Sb., 21:4 (2020), 396–421
2019
44.
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
45.
V. M. Buchstaber, S. Terzić, “The foundations of $(2n,k)$-manifolds”, Sb. Math., 210:4 (2019), 508–549
46.
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
T. Ayano, V. M. Buchstaber, “Ultraelliptic integrals and two-dimensional sigma-functions”, Funct. Anal. Appl., 53:3 (2019), 157–173
48.
V. M. Buchstaber, I. Yu. Limonchenko, “Massey products, toric topology and combinatorics of polytopes”, Izv. Math., 83:6 (2019), 1081–1136
49.
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
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
52.
V. M. Buchstaber, S. Terzic, Toric topology of the complex Grassmann manifolds, 2018 , arXiv: 1802.06449v2
53.
V. M. Buchstaber, “Cobordisms, manifolds with torus action, and functional equations”, Proc. Steklov Inst. Math., 302 (2018), 48–87
54.
V. M. Buchstaber, V. I. Dragovich, “Two-Valued Groups, Kummer Varieties, and Integrable Billiards”, Arnold Math. J., 4:1 (2018), 27–57
V. Buchstaber, V. Enolski, D. Leykin, “Multi-variable sigma-functions: old and new results”, 2018, arXiv: 1810.11079
56.
V. Buchstaber, I. Limonchenko, “Direct families of polytopes with nontrivial massey products”, 2018, arXiv: 1811.02221v1
57.
V. M. Buchstaber, A. V. Mikhailov, “Polynomial Hamiltonian integrable systems on symmetric powers of plane curves”, Russian Math. Surveys, 73:6 (2018), 1122–1124
58.
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
59.
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
60.
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.
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
62.
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
63.
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
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
65.
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
66.
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
67.
V. M. Buchstaber, “Polynomial Lie algebras and the Zelmanov–Shalev theorem”, Russian Math. Surveys, 72:6 (2017), 1168–1170
68.
V. M. Buchstaber, A. A. Glutsyuk, Total positivity, Grassmannian and modified Bessel functions, 2017 , arXiv: 1708.02154v1
69.
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
70.
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
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
72.
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
V. M. Buchstaber, “Polynomial dynamical systems and the Korteweg–de Vries equation”, Proc. Steklov Inst. Math., 294 (2016), 176–200
74.
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
75.
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
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
79.
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
80.
V. M. Buchstaber, N. Yu. Erokhovets, “Truncations of Simple Polytopes and Applications”, Proc. Steklov Inst. Math., 289 (2015), 104–133
81.
V. M. Buchstaber, S. I. Tertychnyi, “On a Remarkable Sequence of Bessel Matrices”, Math. Notes, 98:5 (2015), 714–724
82.
V. M. Buchstaber, A. V. Ustinov, “Coefficient rings of formal group laws”, Sb. Math., 206:11 (2015), 1524–1563
83.
V. M. Buchstaber, E. Yu. Bunkova, “Manifolds of Solutions for Hirzebruch Functional Equations”, Proc. Steklov Inst. Math., 290 (2015), 125–137
84.
V. M. Buchstaber, I. V. Netay, “Hirzebruch Functional Equation and Elliptic Functions of Level $d$”, Funct. Anal. Appl., 49:4 (2015), 239–252
85.
International Conference Proceedings (6–12 September 2015, Khabarovsk), eds. V. M. Buchstaber, V. A. Bykovskii, TOGU, 2015 , 140 pp.
86.
V. M. Buchstaber, “Toric Topology and Carbon Structures (Fullerenes and Grafenes)”, International Conference Proceedings (6–12 September 2015, Khabarovsk), TOGU, 2015, 9–10
87.
V. M. Bukhshtaber, N. Yu. Erokhovets, “Toricheskaya topologiya fullerenov”, tezisy doklada, Materialy Mezhdunarodnoi konferentsii (6–12 sentyabrya 2015 g., Khabarovsk), Izd. TOGU, 2015, 69–70
88.
V. M. Bukhshtaber, G. D. Solomadin, Yu. M. Ustinovskii, “Dvuparametricheskii rod Todda i toricheskie razresheniya osobennostei”, tezisy doklada, Materialy Mezhdunarodnoi konferentsii (6–12 sentyabrya 2015 g., Khabarovsk), Tikhookeanskii gosudarstvennyi universitet, Khabarovsk, 2015, 112–113
89.
V. M. Buchstaber, “Fullerenes and polygonal partitions of surfaces”, abstract, 3-rd Workshop on Analysis, Geometry and Probability (September 28 – October 2, 2015 Ulm University, Germany), DAAD, 2015, 22
90.
V. M. Buchstaber, N. Yu. Erokhovets, Construction of Fullerenes, 2015 , arXiv: 1510.02948 v1 [math.CO]
91.
V. M. Buchstaber, A. A. Kustarev, “Embedding theorems for quasi-toric manifolds given by combinatorial data”, Izv. Math., 79:6 (2015), 1157–1183
2014
92.
V. M. Buchstaber, S. I. Tertychnyi, “Dynamical systems on a torus with identity Poincaré map which are associated with the Josephson effect”, Russian Math. Surveys, 69:2 (2014), 383–385
93.
V. M. Buchstaber, E. Yu. Netay, “$\mathbb{C}P(2)$-multiplicative Hirzebruch genera and elliptic cohomology”, Russian Math. Surveys, 69:4 (2014), 757–759
94.
V. M. Buchstaber, E. Yu. Netay, Differential-algebraic solutions of the heat equation, 2014 , 11 pp., arXiv: 1405.0926
95.
V. M. Buchstaber, S. Terzic, Towards the theory of $(2n,k)$-manifolds: primary examples, 2014 , arXiv: 1410.2482
96.
V. M. Buchstaber, E. Yu. Netay, “Differential-algebraic solutions of the heat equations”, Tezisy dokladov VII Mezhdunorodnoi konferentsii po differentsialnym i funktsionalno-differentsialnym uravneniyam (DFDE) (Moskva, 22–24 avgusta 2014 g.), 2014, 25–26http://dfde2014.mi.ras.ru/files/abstracts.pdf
V. M. Buchstaber, B. A. Dubrovin, I. M. Krichever (Eds.), Topology, Geometry, Integrable Systems, and Mathematical Physics: Novikov's Seminar 2012–2014, Advances in the Mathematical Sciences, Amer. Math. Soc. Transl. Ser. 2, 234, 2014 , 393 pp.
99.
V. M. Buchstaber, “Dynamical system on a torus associated to Josephson junction model”, International Conference Applied and Geometrical Analysys (Samarkand, Uzbekistan, 22–25 September 2014), 2014, 12
100.
V. M. Buchstaber, “Hirzebruch genera and functional equations”, Tezisy Mezhdunarodnoi konferentsii, posvyaschennoi 85-letiyu akademika Yu. G. Reshetnyaka (Novosibirsk, 24–27 sentyabrya 2014 g.), Institut matematiki im. S. L. Soboleva SO RAN, 2014, 90–91
101.
V. M. Buchstaber, “Dynamical systems on a torus associated to Josephson junction”, Prikladnoi i geometricheskii analiz, Mezhdunarodnaya konferentsiya: tezisy dokladov (Samarkand, 22–25 sentyabrya 2014 g.), Novosibirskii gosudarstvennyi tekhnicheskii universitet, Novosibirsk, 2014, 12
102.
V. M. Buchstaber, Jelena Grbić, “Hopf algebras and homologyof loop suspension spaces”, Topology, Geometry, Integrable Systems, and Mathematical Physic, Novikov's seminar: 2012–2014, Amer. Math. Soc. Transl., ser. 2, 234, Amer. Math. Soc., Providence, RI, 2014, 75–92; 19 Nov 2010, arXiv: 1011.2549 (v2)
2013
103.
V. M. Buchstaber, S. I. Tertychnyi, “Explicit solution family for the equation of the resistively shunted Josephson junction model”, Theoret. and Math. Phys., 176:2 (2013), 965–986
104.
V. M. Bukhshtaber, S. Terzić, “Toric genera of homogeneous spaces and their fibrations”, Int. Math. Res. Not. IMRN, 2013, no. 6, 1324–1403 , arXiv: 1102.4165
V. M. Bukhshtaber, “Nekommutativnye simmetricheskie funktsii i kombinatorika vypuklykh mnogogrannikov”, I. M. Gelfand i sovremennaya matematika (Moskva, 17–19 dekabrya 2013 g.), 2013, 8–9http://gelfand100.mech.math.msu.su/
106.
V. M. Bukhshtaber, “Kompleksnye kobordizmy i formalnye gruppy”, Prilozhenie k kn.: Dzh. F. Adamsa, Stabilnye gomotopii i obobschennye gomologii, MTsNMO, Moskva, 2013, 378–432
107.
V. M. Bukhshtaber, N. Yu. Erokhovets, T. E. Panov, “Algebra i kombinatorika vypuklykh mnogogrannikov”, Prilozhenie k kn.: G. Tsiglera, Lektsii o mnogogrannikakh, MTsNMO, Moskva, 2013, 426–521
108.
V. M. Bukhshtaber, V. A. Bykovskii (red.), Deistviya torov: topologiya, geometriya, teoriya chisel, Khabarovsk, 2–7 sentyabrya 2013 g., Tezisy dokladov Mezhdunarodnoi otkrytoi rossiisko-kitaiskoi konferentsii, Izd-vo Tikhookean. gos. un-ta, Khabarovsk, 2013 , 127 pp.
2012
109.
V. M. Buchstaber, Jelena Grbic, Hopf algebras and homotopy invariants, 2012 , arXiv: 1011.2549
110.
V. M. Buchstaber, O. V. Karpov, S. I. Tertychnyi, “A system on a torus modelling the dynamics of a Josephson junction”, Russian Math. Surveys, 67:1 (2012), 178–180
111.
V. M. Buchstaber, “Complex cobordism and formal groups”, Russian Math. Surveys, 67:5 (2012), 891–950
112.
E. Yu. Bunkova, V. M. Buchstaber, “Polynomial Dynamical Systems and Ordinary Differential Equations Associated with the Heat Equation”, Funct. Anal. Appl., 46:3 (2012), 173–190
113.
V. M. Buchstaber, E. Yu. Bunkova, Algebraically integrable quadratic dynamical systems, 2012 , 10 pp., arXiv: 1212.6675
114.
V. M. Buchstaber, E. Yu. Bunkova, Ordinary differential equations associated with the heat equation, 2012 , 20 pp., arXiv: 1204.3784
115.
V. M. Buchstaber, V. D. Volodin, “Combinatorial 2-truncated cubes and applications”, Associahedra, Tamari Lattices, and Related Structures, Tamari Memorial Festschrift, Progress in Mathematics, 299, Birkhäuser, Basel, 2012, 161–186
V. M. Buchstaber, “Symmetric quadratic dynamical systems”, International Conference “Analysys and singularities” dedicated to the 75th anniversary of Vladimir Igorevich Arnold, Abstracts (Moscow, December 17–21, 2012), 2012, 124http://arnold75.mi.ras.ru/Abstracts.pdf
117.
V. M. Buchstaber, V. Z. Enolski, D. V. Leykin, Multi-Dimensional Sigma-Functions, 2012 , 267 pp., arXiv: 1208.0990
2011
118.
V. M. Bukhshtaber, V. D. Volodin, “Tochnye verkhnie i nizhnie granitsy dlya nestoedrov”, Izv. RAN. Ser. matem., 75:6 (2011), 17–46 , arXiv: 1005.1631v2
V. M. Bukhshtaber, N. Yu. Erokhovets, “Mnogogranniki, chisla Fibonachchi, algebry Khopfa i kvazisimmetricheskie funktsii”, UMN, 66:2(398) (2011), 67–162
A. A. Aizenberg, V. M. Bukhshtaber, “Nerv-kompleksy i moment–ugol-prostranstva vypuklykh mnogogrannikov”, Klassicheskaya i sovremennaya matematika v pole deyatelnosti Borisa Nikolaevicha Delone, Sbornik statei. K 120-letiyu so dnya rozhdeniya chlena-korrespondenta AN SSSR Borisa Nikolaevicha Delone, Tr. MIAN, 275, MAIK, M., 2011, 22–54
V. M. Bukhshtaber, V. A. Bykovskii (red.), Mezhdunarodnaya konferentsiya Toricheskaya topologiya i avtomorfnye funktsii, Tezisy dokladov, Izdatelstvo TOGU, Khabarovsk, 2011 , 198 pp.
123.
A. A. Ayzenberg, V. M. Buchstaber, “Moment-angle spaces of nonsimple polytopes”, Mezhdunarodnaya konferentsiya Toricheskaya topologiya i avtomorfnye funktsii, Tezisy dokladov (Khabarovsk, 5–10 sentyabrya 2011), Izdatelstvo TOGU, Khabarovsk, 2011, 7–8
2010
124.
V. M. Buchstaber, N. Yu. Erokhovets, Ring of Polytopes, Quasi-symmetric functions and Fibonacci numbers, 2010 , arXiv: 1002.0810v1
125.
V. M. Buchstaber, E. Yu. Bunkova, Elliptic formal group laws, integral Hirzebruch genera and Krichever genera, 2010 , 39 pp., arXiv: 1010.0944
126.
V. M. Bukhshtaber, O. V. Karpov, S. I. Tertychnyi, “Effekt kvantovaniya chisla vrascheniya”, TMF, 162:2 (2010), 254–265
V. M. Buchstaber, E. Yu. Bunkova, “Addition theorems, formal group laws and integrable systems”, XXIX Workshop on Geometric Methods in Physics, AIP Conference Proceedings, 1307, 2010, 33–43
V. Buchstaber, P. Kielanowski, A. Odzijewicz, M. Schlichenmaier, T. Voronov (Eds.), XXIX Workshop on Geometric Methods in Physics, AIP Conf. Proc., 1307, 2010 , 230 pp.
2009
135.
V. M. Buchstaber, “Heat equations and Sigma functions”, 28th Workshop on Geometric Methods in Physics, Conference Proceedings (June 28 – Jule 04, 2009, Bialowieza, Poland), AIP Conference Proceedings, 1191, eds. P. Kielanowski, S. T. Ali, A. Odzijewicz, M. Schlichenmaier, Th. Voronov, 2009, 46–58
136.
V. M. Bukhshtaber, T. E. Panov, “Toricheskaya topologiya”, Dobrushinskaya mezhdunarodnaya konferentsiya, Sbornik trudov (Moskva, 15–20 iyulya 2009 g.), In-t problem peredachi informatsii im. A. A. Kharkevicha, M., 2009, 27–36http://www.iitp.ru/upload/content/347/Dobr_Conf_2009_Proceedings.pdf
137.
V. M. Buchstaber, “Ring of combinatorial polytopes and applications”, Mathematisches Forschungsinstitut Oberwolfach, Report No. 01/2009, Toric Geometry, 4–10 January, 2009, 14–16
138.
V. M. Bukhshtaber, T. E. Panov, “Toricheskaya topologiya”, Sovremennye problemy matematiki i mekhaniki, t. III «Matematika», vypusk 1, Posvyaschaetsya 70-letiyu so dnya rozhdeniya V. A. Sadovnichego, Izd-vo Mosk. un-ta, M., 2009, 109–120
139.
O. V. Karpov, V. M. Buchstaber, M. A. Tertychnaya, S. I. Tertychnyi, S. V. Sherstobitov, “A quantum digital ac-voltage synthesizer based on pulse-width modulation of the Josephson junction bias current”, J. Communications Technology and Electronics, 54:2 (2009), 234–240
140.
E. Yu. Bunkova, V. M. Bukhshtaber, “Uravneniya teploprovodnosti i semeistva dvumernykh sigma-funktsii”, Geometriya, topologiya i matematicheskaya fizika. II, Sbornik statei. K 70-letiyu so dnya rozhdeniya akademika Sergeya Petrovicha Novikova, Tr. MIAN, 266, MAIK, M., 2009, 5–32
V. M. Bukhshtaber, O. V. Karpov, S. I. Tertychnyi, “Matematicheskie modeli dinamiki silnoshuntirovannogo perekhoda Dzhozefsona”, UMN, 63:3(381) (2008), 155–156
V. M. Bukhshtaber, D. V. Leikin, “Reshenie zadachi differentsirovaniya abelevykh funktsii po parametram dlya semeistv $(n,s)$-krivykh”, Funkts. analiz i ego pril., 42:4 (2008), 24–36
V. M. Buchstaber, “Lectures on toric topology”, Toric Topology Workshop (KAIST 2008), Trends in Mathematics, 10, no. 1, Information Center for Mathematical Sciences, 2008, 1–64
145.
O. V. Karpov, V. M. Buchstaber, S. I. Tertychniy, J. Niemeyer, O. Kieler, “Modeling of $rf$-biased overdamped Josephson junctions”, J. Appl. Phys., 104 (2008), 093910 , 5 pp.
V. M. Buchstaber, O. V. Karpov, S. V. Sherstobitov, S. I. Tertychniy, M. A. Tertychnaya, J. Niemeyer, “Quantum digital ac waveform synthesizer based on pulse-width modulation method.”, J. Appl. Phys., 104 (2008), 093911 , 4 pp.
V. M. Buchstaber, S. Terzić, “Equivariant complex structures on homogeneous spaces and their cobordism classes”, Geometry, topology, and mathematical physics, Amer. Math. Soc. Transl. Ser. 2, 224, Amer. Math. Soc., Providence, RI, 2008, 27–57 , arXiv: math.AT/0708.2054v1
148.
V. M. Buchstaber, N. Ray, “An invitation to toric topology: vertex four of a remarkable tetrahedron”, Toric topology, Contemp. Math., 460, Amer. Math. Soc., Providence, RI, 2008, 1–27MIMS, 2008.31
V. M. Buchstaber, E. G. Rees, “Frobenius $n$-homomorphisms, transfers and branched coverings”, Math. Proc. Cambridge Philos. Soc., 144:1 (2008), 1–12 , arXiv: math/0608120
V. M. Bukhshtaber, “Koltso prostykh mnogogrannikov i differentsialnye uravneniya”, Geometriya, topologiya i matematicheskaya fizika. I, Sbornik statei. K 70-letiyu so dnya rozhdeniya akademika Sergeya Petrovicha Novikova, Tr. MIAN, 263, MAIK, M., 2008, 18–43
V. M. Bukhshtaber (red.-sost.), Sergei Petrovich Novikov. K semidesyatiletiyu so dnya rozhdeniya. Intervyu, stati, vystupleniya, Izdatelstvo MTsNMO, Moskva, 2008 , 184 pp.
152.
V. M. Buchstaber, I. M. Krichever (Eds.), Geometry, topology, and mathematical physics, S. P. Novikov's Seminar: 2006–2007, Amer. Math. Soc. Transl. Ser. 2, 224, American Mathematical Society, Providence, RI, 2008 , x+284 pp.
2007
153.
V. M. Bukhshtaber, N. Rei, “Universalnyi ekvivariantnyi rod i formula Krichevera”, UMN, 62:1(373) (2007), 195–196
V. M. Buchstaber, T. E. Panov, N. Ray, “Spaces of polytopes and cobordism of quasitoric manifolds”, Mosc. Math. J., 7:2 (2007), 219–242 , arXiv: math/0609346
V. M. Bukhshtaber, E. V. Koritskaya, “Kvazilineinoe uravnenie Byurgersa–Khopfa i mnogogranniki Stashefa”, Funkts. analiz i ego pril., 41:3 (2007), 34–47
V. Buchstaber, A. Lazarev, “Dieudonné modules and $p$-divisible groups associated with Morava $K$-theory of Eilenberg–Mac Lane spaces”, Algebr. Geom. Topol., 7 (2007), 529–564 , arXiv: math.AT/0507036v1
V. M. Buchstaber, “Abelian functions and singularity theory”, International Conference “Analysis and Singularities” dedicated to the 70th anniversary of V. I. Arnold, Book of abstracts (Moscow, August 20–24), Steklov Math. Inst., 2007, 117–118
2006
159.
V. M. Bukhshtaber, D. V. Leikin, “Funktsionalnye uravneniya, opredelyayuschie umnozhenie v nepreryvnom bazise Krichevera–Novikova”, UMN, 61:1(367) (2006), 171–172
V. M. Buchstaber, “Euler characteristic, Dehn-Sommerville characteristics, and their applications”, Topology in molecular biology, Springer Series in Solid-Sciences, 150, 2006, 163–176
163.
V. M. Bukhshtaber, A. A. Gaifullin, “Predstavleniya $m$-znachnykh grupp na triangulyatsiyakh mnogoobrazii”, UMN, 61:3(369) (2006), 171–172
V. M. Bukhshtaber, “Algebraicheskie mnogoobraziya polisimmetricheskikh polinomov i koltsa differentsialnykh operatorov”, Globus: Obschematematicheskii seminar NMU, v. 3, MTsNMO, M., 2006, 127–141http://www.mccme.ru/free-books/globus/globus3.pdf
165.
V. M. Buchstaber, O. V. Karpov, S. V. Sherstobitov, S. I. Tertychniy, J. Niemeyer, O. Kieler, “Josephson junction parameters for alternating current wave form synthesis”, J. Appl. Phys., 100 (2006), 093907 , 6 pp.
V. M. Bukhshtaber, O. V. Karpov, S. I. Tertychnyi, “Osobennosti dinamiki Dzhozefsonovskogo perekhoda, smeschennogo sinusoidalnym SVCh tokom”, Radiotekhnika i elektronika, 51:6 (2006), 757–762
167.
V. M. Buchstaber, O. V. Karpov, S. I. Tertychnyi, “Features of the dynamics of a Josephson junction biased by a sinusoidal microwave current”, Journal of Communications Technology and Electronics, 51:6 (2006), 713–718
V. M. Buchstaber, “Analogous polytopes, toric manifolds and complex cobordisms”, International conference on Toric Topology (Osaka, 29 May – 03 June), 2006
2005
169.
V. M. Bukhshtaber, D. V. Leikin, “Trilineinye funktsionalnye uravneniya”, UMN, 60:2(362) (2005), 151–152
V. M. Buchstaber, D. V. Leykin, “Differential and differential-functional equations for sigma-functions”, Fourth International Conference on Differential and Functional Differential Equations, Book of abstracts (Moscow, August 14–21), 2005
172.
V. M. Bukhshtaber, “Simmetricheskie polinomy mnogikh vektornykh argumentov. Klassicheskie zadachi i sovremennye prilozheniya.”, Globus: Obschematematicheskii seminar NMU, 2, MTsNMO, M., 2005, 126–145
173.
V. Buchstaber, D. Leykin, “Hyperelliptic addition law”, J. Nonlinear Math. Phys., 12, suppl. 1 (2005), 106–123
V. M. Bukhshtaber, D. V. Leikin, “Zakony slozheniya na yakobianakh ploskikh algebraicheskikh krivykh”, Nelineinaya dinamika, Sbornik statei, Tr. MIAN, 251, Nauka, M., 2005, 54–126
V. M. Buchstaber, “Jacobi transformations and its applications”, International conference on Selected Problems of Modern Mathematics, dedicated to the 200th anniversary of K. G. Jacobi (Kaliningrad, April 4–9), 2005
176.
Carmona-Moreno C., Belward A., Caperan Ph., Hartley A., Malingreau J.P., Antonovskiy M., Buchshtaber V., Pivovarov V., “Spatial-temporal correlation analyses of global burned surface time series from remote sensing data (1982–1999)”, Proceedings of the 31st International Symposium on Remote Sensing of Environment, Global Monitoring for Sustainability and Security, 2005, 97457 , 5 pp.
177.
Carmona-Moreno C., Belward A., Malingreau J.P., Hartley A., Garcia-Alegre M., Antonovskiy M., Buchshtaber V., Pivovarov V., “Characterizing interannual variations in global fire calendar using data from Earth observing satellites”, Global Change Biology, 11:9 (2005), 1537–1555
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Dinamika zakonomernostei polya kontsentratsii atmosfernogo SO$_2$ na osnove dannykh monitoringa v techenie poslednikh 45 let”, Meteorologiya i gidrologiya, 2004, no. 4, 67–76
179.
V. M. Buchstaber, I. M. Krichever (eds.), Geometry, Topology, and Mathematical Physics, S. P. Novikov's seminar: 2002–2003, Amer. Math. Soc. Transl. Ser. 2, 212, Advances in the Math. Sciences, 55, Amer. Math. Soc., Providence, RI, 2004 , 324 pp.
180.
V. M. Buchstaber, E. G. Rees, “Rings of continuous functions, symmetric products, and Frobenius algebras”, Russ. Math. Surv., 59:1(355) (2004), 125–145
181.
V. M. Bukhshtaber, A. Yu. Lazarev, “Diskretnoe preobrazovanie Gelfanda i dvoistvennoe k nemu”, UMN, 59:1(355) (2004), 183–184
V. M. Bukhshtaber, O. V. Karpov, S. I. Tertychnyi, “O svoistvakh differentsialnogo uravneniya, opisyvayuschego dinamiku silnoshuntirovannogo perekhoda Dzhozefsona”, UMN, 59:2(356) (2004), 187–188
V. M. Bukhshtaber, T. E. Panov, “Kombinatorika simplitsialno kletochnykh kompleksov i toricheskie deistviya”, Geometricheskaya topologiya i teoriya mnozhestv, Sbornik statei. K 100-letiyu so dnya rozhdeniya professora Lyudmily Vsevolodovny Keldysh, Tr. MIAN, 247, Nauka, M., 2004, 41–58
V. M. Bukhshtaber, “Mnogoobraziya polisimmetricheskikh polinomov. Klassicheskie zadachi, sovremennye prilozheniya”, Matematika, Mekhanika, Informatika, Trudy konferentsii, posvyaschennoi 10-letiyu RFFI, Nauka, M., 2004, 129–145
2007
187.
V. M. Buchstaber, “Kolmogorov and Topology.”, Kolmogorov's Heritage in Mathematics, Chapter 7, ed. E. Charpenter, A. Lesne, N. Nikolski, Springer-Verlag, Berlin–Heidelberg, 2007, 139–150
2004
188.
V. M. Buchstaber, T. E. Panov, Torus actions in topology and combinatorics, Mosk. Tsentr Nepr. Mat. Obraz., Moscow, 2004 , 272 pp.
189.
V. M. Buchstaber, S. Yu. Shorina, “The $w$-function of the KdV hierarchy”, Geometry, topology, and mathematical physics, Amer. Math. Soc. Transl. Ser. 2, 212, Amer. Math. Soc., Providence, RI, 2004, 41–66
2003
190.
V. M. Bukhshtaber, S. Yu. Shorina, “Kommutiruyuschie differentsialnye mnogomernye operatory tretego poryadka, zadayuschie KdF-ierarkhiyu”, UMN, 58:3(351) (2003), 187–188
V. M. Bukhshtaber, D. V. Leikin, M. V. Pavlov, “Egorovskie gidrodinamicheskie tsepochki, uravnenie Shazi i gruppa $SL(2,\mathbb{C})$”, Funkts. analiz i ego pril., 37:4 (2003), 13–26
V. M. Buchstaber, M. I. Monastyrsky, “Generalized Kramers–Wannier duality for spin systems with non-commutative symmetry”, J. Phys. A, 36:28 (2003), 7679–7692
V. M. Buchstaber, O. V. Karpov, S. I. Tertychnyi, “The dynamics of transients in an overdamped Josephson junction biased by trains of short current pulses with controllable parameters”, Journal of Experimental and Theoretical Physics, 97:3 (2003), 624–631
195.
V. M. Buchstaber, “Kolmogorov, cohomology and cobordisms”, Kolmogorov and contemporary mathematics, abstracts, Kolmogorov i sovremennaya matematika, tezisy dokladov (Moscow, June 16–21, 2003), Izdatelstvo MGU, 2003, 769
196.
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Dinamika zakonomernostei polya kontsentratsii atmosfernogo $\text{SO}_2$ na osnove dannykh monitoringa v techenie poslednikh 45 let”, Vsemirnaya konferentsiya po izmeneniyu klimata, Tezisy dokladov (Moskva, 20 sentyabrya – 3 oktyabrya), 2003, 33–34
197.
V. M. Bukhshtaber, M. Ya. Antonovskii, Ts. Karmona-Moreno, Zh. P. Molingro V. A. Pivovarov, “Analiz dinamiki prirodnykh pozharov, na osnove vremennykh ryadov, postroennykh obrabotkoi globalnykh sputnikovykh dannykh”, Vsemirnaya konferentsiya po izmeneniyu klimata, Tezisy dokladov (Moskva, 20 sentyabrya–3 oktyabrya), 2003, 167
198.
V. M. Buchstaber, “Polynomial Lie algebras and versal deformations”, Meeting: Singularities (Obervwolfach, 21–27 September), 2003
2002
199.
V. M. Bukhshtaber, E. G. Ris, “Prilozheniya frobeniusovykh $n$-gomomorfizmov”, UMN, 57:1(343) (2002), 149–150
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Ispolzovanie dannykh sputnikovogo monitoringa aktivnosti bioty pri analize formirovaniya polya kontsentratsii SO$_2$ v atmosfere”, Meteorologiya i gidrologiya, 2002, no. 2, 6–24
201.
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Otsenka ekstremalnykh znachenii prostranstvenno-vremennoi dinamiki polya kontsentratsii SO$_2$”, Meteorologiya i gidrologiya, 2002, no. 3, 5–12
202.
V. M. Bukhshtaber, D. V. Leikin, “Algebry Li, assotsiirovannye s $\sigma$-funktsiyami, i versalnye deformatsii”, UMN, 57:3(345) (2002), 145–146
V. M. Buchstaber, D. V. Leikin, “Graded Lie algebras defining hyperelliptic sigma-functions”, Dokl. Math., 66:1 (2003), 87–90
2002
206.
V. M. Buchstaber, J. C. Eilbeck, V. Z. Enolskii, D. V. Leykin, M. Salerno, “Multidimensional Schrödinger equations with abelian potentials”, J. Math. Phys., 43:6 (2002), 2858–2881
V. M. Buchstaber, T. E. Panov, Torus actions and their applications in topology and combinatorics, Univ. Lecture Ser., 24, American Mathematical Society, Providence, RI, 2002 , viii+144 pp.
V. M. Bukhshtaber, “Funktsionalno-algebraicheskaya konstruktsiya simmetricheskikh stepenei i teoriya simmetricheskikh polinomov vektornogo argumenta”, Ot pravleniya Moskovskogo matematicheskogo obschestva, UMN, 57:3 (2002), 175
209.
V. M. Buchstaber, “Algebraic varieties of solutions of two-dim Lame type equations”, Intern. conf. “Differential and functional differential equations”, Book of abstracts (Moscow, August 11–17), 2002, 19–20
2001
210.
V. M. Buchstaber, O. V. Karpov, S. I. Tertychniy, “Electrodynamic properties of a Josephson junction biased with a sequence of $\delta$-function pulses”, J. Experiment. Theoret. Phys., 93:6 (2001), 1280–1287
211.
V. M. Bukhshtaber, B. I. Alshin, O. V. Karpov, V. N. Krutikov, “Mery napryazheniya na pretsizionnykh stabilitronakh. Metrologicheskie kharakteristiki i oblasti primeneniya”, Izmeritelnaya tekhnika, 2001, no. 6, 39–41
212.
V. M. Bukhshtaber, E. G. Ris, “Konstruktivnoe dokazatelstvo obobschennogo izomorfizma Gelfanda”, Funkts. analiz i ego pril., 35:4 (2001), 20–25
V. M. Bukhshtaber, D. V. Leikin, “Mnogoobrazie reshenii uravneniya $\displaystyle\biggl[\frac{\partial^2}{\partial u_1\partial u_2}-6\wp_{1,2}(u_1,u_2)+E\biggr]\psi=0$”, UMN, 56:6(342) (2001), 141–142
V. M. Buchstaber, N. Ray, “Tangential structures on toric manifolds, and connected sums of polytopes”, Internat. Math. Res. Notices, 2001, no. 4, 193–219
V. M. Buchstaber, “Integrable nonlineal differential equations and uniformization of universal spaces of Jacobians”, Intern. conf. “Differential equations and related topics”, Book of abstracts (Moscow, May 22–27), 2001, 78
216.
V. M. Buchstaber, “Symmetric powers as algebraic variety”, Conference “Fundamental mathematics today”, Dedicated to the 10th anniversary of the Independent University of Moscow, Programme and abstracts (Moscow, Dec. 26–29), 2001, 11
2000
217.
V. M. Bukhshtaber, K. E. Feldman, “Indeks ekvivariantnogo vektornogo polya i teoremy slozheniya dlya kharakteristicheskikh klassov Pontryagina”, Izv. RAN. Ser. matem., 64:2 (2000), 3–28
V. M. Bukhshtaber, T. E. Panov, “Deistviya tora, ekvivariantnye moment-ugol-kompleksy i konfiguratsii koordinatnykh podprostranstv”, Teoriya predstavlenii, dinamicheskie sistemy, kombinatornye i algoritmicheskie metody. V, Zap. nauchn. sem. POMI, 266, POMI, SPb., 2000, 29–50
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Opredelenie i analiz nazemnogo bioticheskogo signala v ryadakh dannykh o kontsentratsii $CO_2$ v atmosfere”, Meteorologiya i gidrologiya, 2000, no. 3, 36–47
220.
V. M. Bukhshtaber, T. E. Panov, “Moment-ugol kompleksy i kombinatorika simplitsialnykh mnogoobrazii”, UMN, 55:3(333) (2000), 171–172
B. I. Botvinnik, V. M. Bukhshtaber, S. P. Novikov, S. A. Yuzvinskii, “Algebraicheskie aspekty teorii umnozhenii v kompleksnykh kobordizmakh”, UMN, 55:4(334) (2000), 5–24
V. M. Bukhshtaber, D. V. Leikin, V. Z. Enolskii, “Uniformizatsiya mnogoobrazii Yakobi trigonalnykh krivykh i nelineinye differentsialnye uravneniya”, Funkts. analiz i ego pril., 34:3 (2000), 1–16
V. M. Buchstaber, T. E. Panov, “Torus actions determined by simple polytopes”, Geometry and topology (Aarhus, 1998), Contemp. Math., 258, Amer. Math. Soc., Providence, RI, 2000, 33–46
V. M. Bukhshtaber, Torus actions and combinatorics of polytopes, Tagungsbericht, 37/1999, Topology, 12.09.–18.09.1999, Mathematisches Forschungsinstitut Oberwolfach, 1999 , 5 pp.
229.
V. M. Buchstaber, N. Ray, “Operations and quantum doubles in complex oriented cohomology theory”, Homology Homotopy Appl., 1:8 (1999), 169–185
V. M. Bukhshtaber, T. E. Panov, “Deistviya tora i kombinatorika mnogogrannikov”, Solitony, geometriya, topologiya — na perekrestkakh, Sbornik statei. K 60-letiyu so dnya rozhdeniya akademika Sergeya Petrovicha Novikova, Tr. MIAN, 225, Nauka, M., 1999, 96–131
V. M. Bukhshtaber, “Mnogomernyi statisticheskii analiz v zadachakh ekologicheskogo i klimaticheskogo monitoringa”, Mnogomernyi statisticheskii analiz i veroyatnostnye modelirovaniya realnykh protsessov, Tez. dokl. mezhdunar. yubilein. sessii nauchn. seminara (Moskva), eds. S. A. Aivazyan, TsEMI RAN, 1999, 55–57
232.
V. M. Bukhshtaber, “Polinomy, udovletvoryayuschie teoreme Rimana ob obraschenii v nul, i ikh prilozheniya”, Ot pravleniya Moskovskogo matematicheskogo obschestva, UMN, 54:5 (1999), 190
233.
V. M. Buchstaber, “Functional equations in mathematical physics”, Intern. Conf. on differential and functional differential equations, Abstracts (Moscow), 1999, 24
1998
234.
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Analiz neopredelennostei v probleme otsenki vklada emissii razlichnykh parnikovykh gazov v globalnoe poteplenie”, Meteorologiya i gidrologiya, 1998, no. 8, 57–66
235.
V. M. Buchstaber, I. G. Ovodov, S. N. Shevchenko, “Statistical Approach to the Problem of Commercial Bank Stability”, Evaluation / HSE Economics Journal, 1:1 (1998)
236.
V. M. Bukhshtaber, “Otobrazheniya Yanga–Bakstera”, UMN, 53:6(324) (1998), 241–242
V. M. Buchstaber, E. G. Rees, “Multivalued groups, $n$-Hopf algebras and $n$-ring homomorphisms”, Lie groups and Lie algebras, Math. Appl., 433, Kluwer Acad. Publ., Dordrecht, 1998, 85–107
240.
V. M. Buchstaber, N. Ray, “Flag manifolds and the Landweber-Novikov algebra”, Geom. Topol., 2 (1998), 79–101
V. M. Buchstaber, E. G. Rees, Converse theorem, 1997
243.
V. M. Buchstaber, S. P. Novikov (eds.), Solitons, geometry, and topology: on the crossroad, Amer. Math. Soc. Transl. Ser. 2, 179, Advances in the Math. Sciences, 33, Amer. Math. Soc., Providence, RI, 1997 , 189 pp.
244.
V. M. Buchstaber, V. Z. Enolskii, D. V. Leikin, “Kleinian functions, hyperelliptic Jacobians and applications”, Reviews in Mathematics and Math. Physics, 10, part 2, ed. I. M. Krichever, S. P. Novikov, Gordon and Breach, London, 1997, 3–120
245.
V. M. Buchstaber, H. W. Braden, “Integrable systems with pairwise interactions and functional equations”, Reviews in Mathematics and Math. Physics, 10, part 2, ed. I. M. Krichever, S. P. Novikov, Gordon and Breach, London, 1997, 121–166
246.
V. M. Bukhshtaber, D. V. Leikin, V. Z. Enolskii, “Rekursivnoe semeistvo differentsialnykh polinomov, porozhdennoe tozhdestvom Silvestra, i teoremy slozheniya dlya giperellipticheskikh funktsii Kleina”, Funkts. analiz i ego pril., 31:4 (1997), 19–33
V. M. Bukhshtaber, K. E. Feldman, “Formula slozheniya dlya pervogo polutselogo klassa Pontryagina v kompleksnykh kobordizmakh”, UMN, 52:6(318) (1997), 151–152
V. M. Bukhshtaber, “Mnogomernye razvertki vremennykh ryadov. Teoreticheskie osnovy i algoritmy”, Obozrenie prikladnoi i promyshl. matematiki, Seriya «Veroyatnost i statistika», 4, no. 4, TVP, M., 1997, 629
249.
V. M. Bukhshtaber, “Avtomaticheskaya klassifikatsiya dannykh po printsipu resheta Eratosfena”, Obozrenie prikladnoi i promyshl. matematiki, Seriya «Veroyatnost i statistika», 4, no. 4, TVP, M., 1997
250.
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Modelirovanie posledstvii razlichnykh stsenariev antropogennoi emissii ugleroda”, Meteorologiya i gidrologiya, 1997, no. 8, 17–27
251.
V. M. Bukhshtaber, A. V. Nikolaev, “Problemy postroeniya tomograficheskikh izobrazhenii.”, Problemy geotomografii, Nauka, M., 1997, 325–329
252.
V. M. Buchstaber, E. G. Rees, “Multivalued groups, their representations and Hopf algebras”, Transform. Groups, 2, no. 4, Birkhäuser, Boston, 1997, 325–349
V. M. Buchstaber, V. Z. Enolskiĭ, D. V. Leĭkin, “Hyperelliptic Kleinian functions and applications”, Solitons, geometry, and topology: on the crossroad, Amer. Math. Soc. Transl. Ser. 2, 179, Amer. Math. Soc., Providence, RI, 1997, 1–33
255.
V. M. Bukhshtaber, “Mnogoznachnye gruppy i $n$-algebry Khopfa”, Zasedaniya Sankt-Peterburgskogo matematicheskogo obschestva, UMN, 52:2 (1997), 206
256.
V. M. Bukhshtaber, “Funktsii Kleina, giperellipticheskie yakobiany i integriruemye sistemy”, Zasedaniya Moskovskogo matematicheskogo obschestva, UMN, 52:3 (1997), 184
V. M. Bukhshtaber, V. Z. Enolskii, “Yavnoe algebraicheskoe opisanie giperellipticheskikh yakobianov na osnove $\sigma$-funktsii Kleina”, Funkts. analiz i ego pril., 30:1 (1996), 57–60
V. M. Bukhshtaber, A. M. Vershik, S. A. Evdokimov, I. N. Ponomarenko, “Kombinatornye algebry i mnogoznachnye involyutivnye gruppy”, Funkts. analiz i ego pril., 30:3 (1996), 12–18
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Modelirovanie i issledovanie stabilizatsii kontsentratsii atmosfernogo $CO_2$ pri razlichnykh stsenariyakh emissii $CO_2$ v atmosferu”, DAN, 351:4 (1996), 528–531
262.
V. M. Buchstaber, N. Ray, “Double cobordism, flag manifolds and quantum doubles”, Topology and applications, Intern. Top. Conf. dedicated to P. S. Alexandroffs 100-th Birthday, Phasis, Moscow, 1996, 127–129
263.
V. M. Buchstaber, A. P. Veselov, “On a remarkable functional equation in the theory of generalized Dunkl operators and transformations of elliptic genera”, Math. Z., 223:4 (1996), 595–607
V. M. Buchstaber, A. M. Perelomov, “On the functional equation related to the quantum three-body problem”, Contemporary mathematical physics, Amer. Math. Soc. Transl. Ser. 2, 175, Amer. Math. Soc., Providence, RI, 1996, 15–34
265.
V. Buchstaber, I. Krichever, “Multidimensional vector addition theorems and the Riemann theta functions”, Internat. Math. Res. Notices, 1996, no. 10, 505–513
V. M. Buchstaber, A. P. Veselov, “Integrable correspondences and algebraic representations of multivalued groups”, Internat. Math. Res. Notices, 1996, no. 8, 381–400
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Analiz neopredelennosti prognozov globalnykh kontsentratsii atmosfernogo $CO_2$ dlya boks-diffuznykh modelei globalnogo uglerodnogo tsikla”, DAN, 343:2 (1995), 247–250
V. M. Bukhshtaber, M. Ya. Antonovskii, V. A. Pivovarov, “Modelirovanie, globalnyi analiz i interpretatsiya v izuchenii uglerodnogo tsikla”, Meteorologiya i gidrologiya, 1995, no. 8, 5–13
270.
V. M. Bukhshtaber, V. Z. Enolskii, “Abelevy Blokhovskie resheniya dvumernogo uravneniya Shrëdingera”, UMN, 50:1(301) (1995), 191–192
V. M. Buchstaber, A. P. Veselov, Integrable correspondences and algebraic representation of multivalued groups, FIM, ETH, Zurich, 1995
272.
V. M. Buchstaber, “Semigroups of maps into groups, operator doubles, and complex cobordisms”, Topics in topology and mathematical physics, Amer. Math. Soc. Transl. Ser. 2, 170, Amer. Math. Soc., Providence, RI, 1995, 9–31MIMS. 2008.31
273.
V. M. Buchstaber, S. P. Novikov, “The S. P. Novikov seminar”, Topics in topology and math. physics, Amer. Math. Soc. Transl. Ser. 2, 170, 1995, 1–7; V. M. Bukhshtaber, S. P. Novikov, “Seminar S. P. Novikova”, Sergei Petrovich Novikov. K semidesyatiletiyu so dnya rozhdeniya. Intervyu. Stati. Vystupleniya, MTsNMO, Moskva, 2008, 97–107
1996
274.
V. M. Buchstaber, “Operator doubles and semigroups of mappings into groups.”, Russian Acad. Sci. Dokl. Math., 51 (1996), 260–262
1994
275.
V. M. Buchstaber, M. Ya. Antonovsky, V. A. Pivovarov, “The role of the box ‘bottom layer of the ocean’ in the box-diffusion models of the global carbon cycle”, Trans. (Dokl.) Russ. Acad. Sci. Earth. Sci. Sect., 1994
276.
V. M. Buchstaber, M. Ya. Antonovsky, V. A. Pivovarov, “Analysis and comparison of box-diffusion models of the global carbon cycle based on the concept of airborne fraction.”, Trans. (Dokl.) Russ. Acad. Sci. Earth. Sci. Sect., 1994
277.
V. M. Bukhshtaber, A. P. Veselov, “Operatory Dankla, funktsionalnye uravneniya i preobrazovaniya ellipticheskikh rodov”, UMN, 49:2(296) (1994), 147–148
V. M. Buchstaber, “Time series analysis and Grassmannians”, Applied problems of Radon transform, Amer. Math. Soc. Transl. Ser. 2, 162, Amer. Math. Soc., Providence, RI, 1994, 1–17
1993
280.
V. M. Buchstaber, A. M. Perelomov, On the functional equation related to the quantum three-body problem, 93-17, Max-Planck Institut für Mathematik, MPI, Bonn, 1993 www.mat.univie.ac.at/~esiprpr/esi143.pdf, arXiv: math-ph/0205032
281.
V. M. Bukhshtaber, M. Ya. Antonovskii, L. S. Veksler, “Primenenie mnogomernogo statisticheskogo analiza dlya obnaruzheniya strukturnykh izmenenii vo vremennykh ryadakh dannykh ekologicheskogo monitoringa.”, Problemy ekolog. monitor. i modelirovaniya ekosistem, 15, Gidrometeoizdat, S-Pb., 1993
282.
V. M. Bukhshtaber, I. M. Krichever, “Vektornye teoremy slozheniya i funktsii Beikera–Akhiezera”, TMF, 94:2 (1993), 200–212
V. M. Bukhshtaber, M. Ya. Antonovskii, L. S. Veksler, “Obnaruzhenie izmeneniya svoistv vremennykh ryadov monitoringa metodami mnogomernogo statisticheskogo analiza”, Problemy izmereniya parametrov gidroakusticheskikh gidrofizicheskikh polei, VNIIFTRI, M., 1992
284.
V. M. Bukhshtaber, M. Ya. Antonovskii, L. S. Veksler, Zh. P. Malingro, Statisticheskii analiz dannykh po globalnomu indeksu vegetatsii, Problemy ekologich. monitoringa i modelirovaniya ekosistem, 14, Gidrometeoizdat, S-Pb., 1992
1991
285.
V. M. Buchstaber, M. Ya. Antonovsky, “An exploratory analysis of long term trends in atmospheric $CO_2$ concentration”, Tellus, 43B:2 (1991), 171–187
286.
V. M. Buchstaber, M. Ya. Antonovsky, L. S. Veksler, Application of multivariate statistical analysis for the detection of structural changes in the series of monitoring data, WP-91-31, IIASA, Laxenburg, 1991
287.
V. M. Bukhshtaber, V. M. Klyatskin, V. V. Mottl, E. V. Schepin, “Avtomatizirovannaya sistema analiza ploskikh tochechnykh izobrazhenii metodom skeletizatsii kak instrument resheniya zadach prikladnoi statistiki”, Programmnye produkty i sistemy, 3, Tver (1991), 52–62
1990
288.
V. M. Bukhshtaber, V. K. Maslov, A. M. Trokhan, A. V. Nikolaev, “Geotomografiya kak instrument monitoringa Zemli.”, Tomograficheskie metody v fiziko-tekhnicheskikh izmereniyakh, Sb. nauchnykh trudov VNIIFTRI, M., 1990, 7–55
289.
V. M. Bukhshtaber, A. N. Kholodov, “Formalnye gruppy, funktsionalnye uravneniya i obobschennye teorii kogomologii”, Matem. sb., 181:1 (1990), 75–94
V. M. Buchstaber, V. K. Maslov, “Mathematical models and algorithms of tomographic synthesis of wave fields and inhomogeneous media”, Math. Problems of Tomogr., Transl. Math. Monogr., 81, Amer. Math. Soc., Providence, RI, 1990, 225–267
291.
V. M. Bukhshtaber, “Funktsionalnye uravneniya, assotsiirovannye s teoremami slozheniya dlya ellipticheskikh funktsii, i dvuznachnye algebraicheskie gruppy”, UMN, 45:3(273) (1990), 185–186
V. M. Bukhshtaber, I. S. Enyukov, “Metody i algoritmy tselenapravlennogo proetsirovaniya v razvedochnom analize dannykh.”, Mnogomern. stat. analiz i veroyatnostnoe modelirovanie realnykh protsessov, Nauka, M., 1990, 16–30
293.
V. M. Bukhshtaber, V. G Markin, V. K. Maslov, “Obratnye zadachi prikladnoi statistiki i tomografiya.”, Mnogomern. stat. analiz i veroyatnostnoe modelirovanie realnykh protsessov, Nauka, M., 1990, 124–128
294.
V. M. Bukhshtaber, E. A. Zelenyuk, A. A. Zubenko, “Dialogovyi generator programm dlya interaktivnogo analiza dannykh DIAGEN”, Mnogomern. stat. analiz i veroyatnostnoe modelirovanie realnykh protsessov, Nauka, M., 1990, 243–247
1989
295.
V. M. Bukhshtaber, M. Ya. Antonovskii, A. A. Zubenko, Poiskovyi analiz trendov v ryadakh nablyudenii za kontsentratsiei $CO_2$ v atmosfere, Problemy ekologich. monitor. i ekosistem. modelirovaniya, XII, Gidromet., Leningrad, 1989
296.
V. M. Bukhshtaber, A. N. Kholodov, “Gruppy formalnykh diffeomorfizmov superpryamoi, proizvodyaschie funktsii dlya posledovatelnostei polinomov i funktsionalnye uravneniya”, Izv. AN SSSR. Ser. matem., 53:5 (1989), 944–970
V. M. Buchstaber, S. A. Aivazian, L. D. Meshalkin, I. S. Yenyukov, Applied statistics. Classification and reduction of dimensionality, Finansy i Statistika, Moscow, 1989 , 608 pp.
299.
V. M. Bukhshtaber, E. A. Zelenyuk, A. A. Zubenko, Konstruktsiya interaktivnykh sistem analiza dannykh, Finansy i statistika, M., 1989 , 115 pp.
300.
V. M. Buchstaber, “Applications of functional equations to homogeneous co-algebras.”, Soobshch. Akad. Nauk. Gruzin. SSR, 135:1 (1989), 53–56
1988
301.
V. M. Bukhshtaber, V. K. Maslov, “Teoremy o proektsiyakh i secheniyakh v emissionnoi i transmissionnoi tomografii volnovykh polei i neodnorodnykh sred”, Metody tomografii v fiz.-tekh. izmereniyakh, Trudy VNIIFTRI, M., 1988, 6–22
302.
V. M. Buchstaber, M. Ya. Antonovsky, E. A. Zelenyuk, A statistical model of background air pollution frequency distributions, WP-88-102, Intern. Inst. For Appl. Systems Anal., Laxenburg, Austria, 1988
303.
V. M. Buchstaber, M. Ya. Antonovsky, A. A. Zubenko, A statistical analysis of long-term trends in atmospheric $CO_2$ concentration at baseline stations, WP-88-122, Intern. Inst. For Appl. Systems Anal., Laxenburg, Austria, 1988
1987
304.
V. M. Bukhshtaber, V. K. Maslov, “Teoremy o proektsiyakh i secheniyakh v difraktsionnoi tomografii”, III Vses. simp. po vychislit. tomografii, Naukova Dumka, Kiev, 1987
305.
V. M. Buchstaber, M. Ya. Antonovskii, E. A. Zelenyuk, “The problem of detection and estimation of background levels of components of atmospheric pollution”, Trans. (Dokl.) Akad. Sci. USSR. Earth Sci. Sect., 1987
306.
V. M. Bukhshtaber, V. K. Maslov, “Metody resheniya trekhmernykh obratnykh zadach distantsionnogo zondirovaniya okeana”, Metody gidrofizich. issledov. Volny i vikhri, II Vses. shk., Gorkii, 1987, 305–320
1986
307.
V. M. Bukhshtaber, V. G Markin, V. K. Maslov, A. M. Trokhan, “Parallelnye algoritmy resheniya trekhmernoi zadachi akusticheskoi tomografii okeana”, Gidrofizicheskie izmereniya, VNIIFTRI, M., 1986
308.
V. M. Buchstaber, V. M. Pivovarov, S. P. Stefanov, “Temperature distribution in the self-induced thermal action of acoustic waves in glycerin”, Soviet Phys. Acoust., 32 (1986), 231–232
1985
309.
V. M. Bukhshtaber, V. K. Maslov, “Tomograficheskie metody analiza mnogomernykh dannykh”, Statististika. Veroyatnost. Ekonomika, Nauka, M., 1985, 108–116
310.
V. M. Bukhshtaber, S. A. Aivazyan, “Analiz dannykh, prikladnaya statistika i postroenie obschei teorii avtomaticheskoi klassifikatsii”, Metody analiza dannykh, Finansy i statistika, M., 1985, 5–22
311.
V. M. Bukhshtaber, V. K. Maslov, V. A. Pivovarov, “Primenenie algebraicheskikh metodov v obratnoi zadache izlucheniya pri “bluzhdayuschem” skanirovanii”, Issledovaniya v obl. radiotekhnicheskikh izmerenii, VNIIFTRI, M., 1985
312.
V. M. Bukhshtaber, V. K. Maslov, “Tomosintez volnovykh polei i neodnorodnykh sred (Teoriya difraktsionnoi tomografii)”, Tomograficheskie metody v fiziko-tekhnich. izmereniyakh, VNIIFTRI, M., 1985, 7–34
313.
V. M. Bukhshtaber, V. K. Maslov, “Ob algoritmakh resheniya zadach difraktsionnoi tomografii.”, Tomograficheskie metody v fiziko-tekhnich. izmereniyakh, VNIIFTRI, M., 1985, 34–51
1984
314.
V. M. Buchstaber, V. K. Maslov, A. M. Trokhan, “The method of acoustic tomography of the ocean”, Atmos. Ocean. Phys., 20 (1984), 571–577
315.
V. M. Bukhshtaber, M. Ya. Antonovskii, E. A. Zelenyuk, Yu. A. Izrael, F. Ya. Rovinskii, Yu. P. Cherkhanov, “K statisticheskomu obosnovaniyu komponent regionalnogo zagryazneniya atmosfery v fonovom raione”, DAN SSSR, 276:2 (1984), 334–337
316.
V. M. Buchstaber, A. A. Krel, N. V. Chichasova, M. Z. Kanevskaya, E. N. Lomakina, V. K. Maslov, “Long-term prospective-study of the clinical variants of rheumatoid-arthritis with the use of multidimentional statistical-analysis”, Tepapevticheskii apkhiv, 56:5 (1984), 68–75
317.
V. M. Buchštaber, S. G. Gindikin, “From Cavalieri's principle to the tomograph”, Pokroky Mat. Fyz. Astronom., 29:4 (1984), 196–210
318.
V. M. Bukhshtaber, Dvuznachnye formalnye gruppy. Algebraicheskaya teoriya i topologicheskie prilozheniya, Dissertatsiya na soiskanie uchenoi stepeni doktora fiziko-matematicheskikh nauk, vypolnena vo VNIIFTRI, M., 1984
1962
319.
V. M. Buchstaber, “The Steenrod algebra is an enveloping algebra of the supergroup of p-adic diffeomorphisms of the line”, Appendix to Russian transl.: N. Steenrod and D. Epstein, Cohomology operations, Princeton Univ. Press, Princeton, NJ, 1962
1983
320.
V. M. Bukhshtaber, E. K. Zelenyuk, V. K. Maslov, “Metody analiza i postroeniya algoritmov avtomaticheskoi klassifikatsii na osnove matematicheskikh modelei”, Prikladnaya statistika, Uchen. zap. po statistike, 34, Nauka, M., 1983, 126–144
1979
321.
V. M. Buchstaber, “Adams stable homotopy category”, Appendix 1 to Russian transl.: V. Snaith, Algebraic cobordism and K-theory, Mem. Amer. Math. Soc., 221, 1979
322.
V. M. Buchstaber, “The Becker-Gottlieb transfer”, Appendix 2 to Russian transl.: V. Snaith, Algebraic cobordism and K-theory, Mem. Amer. Math. Soc., 221, 1979
323.
V. M. Buchstaber, “Stable decompositions of the classifying spaces of classical Lie groups”, Appendix 3 to Russian transl.: V. Snaith, Algebraic cobordism and K-theory, Mem. Amer. Math. Soc., 221, 1979
324.
V. M. Buchstaber, “Cohomology operations and the formal group in cobordisms”, Appendix 4 to Russian transl.: V. Snaith, Algebraic cobordism and K-theory, Mem. Amer. Math. Soc., 221, 1979
1983
325.
V. M. Buchstaber, V. K. Maslov, A. M. Trokhan, “On a method of reconstructing the spatial structure of inhomogeneous media”, Soviet Phys. Dokl., 28 (1983), 760–762
326.
V. M. Buchstaber, S. G. Gindikin, “From Cavalieri's principle to the tomograph”, Fiz. Mat. Spis. Bulgar. Akad. Nauk., 25(58):4 (1983), 297–314 (Bulgarian)
1982
327.
V. M. Bukhshtaber, A. N. Kholodov, “Topologicheskie konstruktsii, svyazannye s mnogoznachnymi formalnymi gruppami”, Izv. AN SSSR. Ser. matem., 46:1 (1982), 3–27
V. M. Buchstaber, E. I. Grigor'ev, V. G. Markin, G. B. Tarnovskii, V. P. Yaryna, “Creation of the program Prospect-1 for recovering the neutron spectra of nuclear reactors”, Measurement Techniques, 25 (1982), 634–625
329.
V. M. Bukhshtaber, V. G. Markin, “Issledovanie metodov tomograficheskogo vosstanovleniya izobrazhenii.”, Problemy metrol. inform.-izmerit. sistem v obl. fiz-tekh. izmeren., Trudy VNIIFTRI, M., 1982
330.
V. M. Bukhshtaber, V. K. Maslov, “Modeli i algoritmy avtomaticheskoi klassifikatsii mnogomernykh dannykh (teoriya klaster-analiza)”, Problemy metrol. inform.-izmerit. sistem v obl. fiz-tekh. izmeren., Trudy VNIIFTRI, M., 1982
1981
331.
V. M. Bukhshtaber, V. K. Maslov, E. K. Zelenyuk, “Metody postroeniya algoritmov etalonnogo tipa v zadachakh avtomaticheskoi klassifikatsii.”, Mashinnye metody obnaruzh. zakonom, Vychislit. sistemy, 88, SO AN SSSR, Novosibirsk, 1981, 65–79
332.
V. M. Bukhshtaber, V. K. Maslov, E. K. Zelenyuk, “Modeli i algoritmy avtomaticheskoi klassifikatsii dannykh”, II Vses. konf. “Primenen. mnogomern. stat. analiza v ekonomike i otsenke kachestva produktsii” (Tartu), 1981
1980
333.
V. M. Buchstaber, V. K. Maslov, “Problems of applied statistics as extremal problems on non-standard domains”, Algorithmic software of applied statistical analysis, Uchen. Zap. Statist., 36, 1980, 381–395
1979
334.
V. M. Bukhshtaber, V. G. Markin, Yu. B. Solodikhin, “Opredelenie pokazatelya termicheskoi inertsii termopreobrazovatelya v turbulentnom potoke kriogennoi zhidkosti”, III Vses. sovesch. «Eksperiment, metody i apparatura dlya issledovaniya turbulentnosti», Tez. dokl., Novosibirsk, 1979
335.
V. M. Bukhshtaber, L. S. Veksler, E. A. Zhirmunskaya, E. A. Zelenyuk, V. K. Maslov, G. P. Fomichev, “Primenenie metodov mnogomernogo statisticheskogo analiza EEG dlya otsenki sostoyaniya neirodinamiki mozga”, Izv. AN SSSR. Ser. fiziol. cheloveka, 5:4 (1979), 196–205
1978
336.
V. M. Bukhshtaber, “Topologicheskie prilozheniya teorii dvuznachnykh formalnykh grupp”, Izv. AN SSSR. Ser. matem., 42:1 (1978), 130–184
V. M. Bukhshtaber, “Kharakteristicheskie klassy v kobordizmakh i topologicheskie prilozheniya teorii odnoznachnykh i dvuznachnykh formalnykh grupp”, Itogi nauki i tekhn. Ser. Sovrem. probl. mat., 10, VINITI, M., 1978, 5–178
V. M. Bukhshtaber, “Dvuznachnye formalnye gruppy. Algebraicheskaya teoriya i topologicheskie prilozheniya”, Vestnik MGU, 6, ser. Matem. i mekhan. (1978)
1977
340.
V. M. Bukhshtaber, “Dvuznachnye formalnye gruppy v apparate teorii kobordizmov”, UMN, 32:2(194) (1977), 205–206
V. M. Bukhshtaber, V. K. Maslov, “Faktornyi analiz i ekstremalnye zadachi na mnogoobraziyakh Grassmana”, Matematicheskie metody resheniya ekonomicheskikh zadach, № 7 (Pril. k «Ekonom. i matem. medody»), Nauka, M., 1977, 85–102
342.
V. M. Buchstaber, V. K. Maslov, “Vector optimization in measurement data processing systems”, Measurement Techniques, 20 (1977), 679–683
343.
V. M. Bukhshtaber, V. K. Maslov, “Mnogoobraziya Grassmana, faktornyi analiz i raspoznavanie obrazov”, VII Vsesoyuznaya topologicheskaya Konferentsiya (tezisy dokladov), In-t matematiki AN BSSR, Minsk, 1977, 33
344.
V. M. Bukhshtaber, A. V. Shokurov, “Kogomologicheskie operatsii v teorii kompleksnykh kobordizmov i gruppa formalnykh diffeomorfizmov pryamoi”, VII Vsesoyuznaya topologicheskaya Konferentsiya (tezisy dokladov), In-t matematiki AN BSSR, Minsk, 1977, 34
1976
345.
V. M. Bukhshtaber, “Dvuznachnye formalnye gruppy. Algebraicheskaya teoriya i prilozheniya k kobordizmam. II”, Izv. AN SSSR. Ser. matem., 40:2 (1976), 289–325
V. M. Bukhshtaber, V. K. Maslov, “Vektornaya optimizatsiya v sistemakh obrabotki izmeritelnoi informatsii”, Vsesoyuznaya shkola-seminar SOII, Tez. dokl., M., 1976
347.
V. M. Bukhshtaber, “Teoriya dvuznachnykh formalnykh grupp Li”, Zasedaniya Moskovskogo matematicheskogo obschestva, UMN, 31:3 (1976), 197
1975
348.
V. M. Bukhshtaber, “Dvuznachnye formalnye gruppy. Algebraicheskaya teoriya i prilozheniya k kobordizmam. I”, Izv. AN SSSR. Ser. matem., 39:5 (1975), 1044–1064
V. M. Bukhshtaber, V. K. Maslov, “Factor analysis on manifolds and the problem of singling out features in pattern recognition”, Engrg. Cybernetics, 13:6 (1975), 160–167
1974
351.
V. M. Buchstaber, A. S. Mishchenko, Lectures on intrinsic homology and formal groups, Tenth Mathematical School (Summer School, Kaciveli/Nalchik, 1972), Izdanie Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1974, 190–259
1973
352.
V. M. Bukhshtaber, “Klassifikatsiya dvuznachnykh formalnykh grupp”, UMN, 28:3(171) (1973), 173–174
V. M. Buchstaber, “New methods in cobordism theory”, Appendix to Russian transl.: R. Stong, Notes on cobordism theory, Princeton Univ. Press, Princeton, NJ, 1968
1972
354.
V. M. Bukhshtaber, “Proektory v unitarnykh kobordizmakh, svyazannye s $SU$-teoriei”, UMN, 27:6(168) (1972), 231–232
V. M. Bukhshtaber, “Formalnye gruppy Li v apparate algebraicheskoi topologii”, Zasedaniya Moskovskogo matematicheskogo obschestva, UMN, 27:2 (1972), 158
V. M. Bukhshtaber, “Spektralnye posledovatelnosti, svyazannye s kharakterom Chzhenya–Dolda v kobordizmakh”, Zasedaniya Moskovskogo matematicheskogo obschestva, UMN, 26:1 (1971), 214–215
V. M. Bukhshtaber, A. S. Mischenko, “Zamechanie k rabote "$K$-teoriya na kategorii beskonechnykh kletochnykh kompleksov"”, Izv. AN SSSR. Ser. matem., 33:1 (1969), 239
V. M. Bukhshtaber, Kogomologicheskie operatsii v obobschennykh teoriyakh kogomologii, Dissertatsiya na soiskanie uchënoi stepeni kandidata fiziko-matematicheskikh nauk, vypolnena na mekh-mate MGU, M., 1969
367.
V. M. Bukhshtaber, A. S. Mischenko, “Svoistvo nepreryvnykh gomeomorfizmov evklidovykh prostranstv i gladkie struktury na tore”, Zasedaniya Moskovskogo matematicheskogo obschestva, UMN, 24:5 (1969), 224
V. M. Bukhshtaber, A. S. Mischenko, S. P. Novikov, “Sovremennoe ponimanie teorii gomologii”, Zasedaniya Moskovskogo matematicheskogo obschestva, UMN, 23:4 (1968), 241
Отдел геометрии и топологии V. M. Buchstaber Conference MIAN-90, dedicated to the 90th anniversary of Steklov Mathematical Institute May 14, 2024 10:00
12.
Yuri Ivanovich Manin V. M. Buchstaber, D. Chebukov Joint meeting of the Mathematics Section "To the memory of the great artist". To the death anniversary of Yuri Ivanovich Manin. Central House of Scientists March 21, 2024
Nilmanifolds of polynomial transformations V. M. Buchstaber Conference on Complex Analysis and Mathematical Physics dedicated to the 75th anniversary of A. G. Sergeev March 11, 2024 15:00
n-значные группы, квазикристаллы, слова и числа Фибоначчи V. M. Bukhshtaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) February 22, 2023 18:30
22.
Циклические фробениусовы алгебры V. M. Buchstaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) December 14, 2022 18:30
Quantum Novikov equations V. M. Buchstaber International Conference «Quantum Integrability and Geometry» Dedicated to 60th Anniversaries of N. A. Slavnov and L. O. Chekhov June 1, 2022 10:10
Квантовые уравнения С.П. Новикова V. M. Bukhshtaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) September 15, 2021 14:00
Toric topology: definitions, constructions, results V. M. Buchstaber Toric topology in old and new problems from various fields of mathematics. Distinguished Lecture Series: Victor Buchstaber. March 17-19, 2020, The Fields Institute March 17, 2020 15:30
Convex polytopes, fullerenes and Lobachevsky geometry V. M. Buchstaber XVI International Conference «Algebra, Number Theory and Discrete Geometry: modern problems, applications and problems of history» dedicated to the 80th anniversary of the birth of Professor Michel Desa May 13, 2019 10:55
39.
Приветственное слово V. A. Panin, V. M. Buchstaber XVI International Conference «Algebra, Number Theory and Discrete Geometry: modern problems, applications and problems of history» dedicated to the 80th anniversary of the birth of Professor Michel Desa May 13, 2019 10:00
40.
Топограф Конвея и двузначные группы V. M. Buchstaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) February 6, 2019 14:00
Korteweg–de Vries equation and hyperelliptic functions theory V. M. Buchstaber Conference «Contemporary Mathematics and its applications» dedicated to the results of research supported by the Russian Science Foundation grant 14-50-00005 November 19, 2018 16:10
Полиномиальные гамильтоновы интегрируемые системы V. M. Bukhshtaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) October 17, 2018 18:30
50.
Открытие V. M. Buchstaber, D. V. Treschev, S. P. Novikov International conference "Discrete Mathematics and Mathematical Crystallography" dedicated to the 80th anniversary of Mikhail Ivanovich Stogrin September 26, 2018 14:00
Toric topology of complex Grassmann manifolds V. Buchstaber Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg
on the occasion of his 80th birthday December 18, 2017 14:30
58.
Полиномиальные алгебры Ли и теорема Зельманова–Шалева V. M. Buchstaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) October 25, 2017 18:30
Когомологически жесткие многообразия V. M. Buchstaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) December 21, 2016 14:00
Memorial meeting (conference room 9th floor) E. M. Chirka, S. Yu. Orevkov, A. G. Sergeev, V. M. Buchstaber, M. S. Mel'nikov, A. B. Zhizhchenko International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin October 10, 2016 18:00
4-color problem and toric topology of fullerenes V. M. Bukhshtaber Mathematics, Theoretical Physics and Data Science 2016 dedicated to anniversaries of Yakov Sinai and Grigory Margulis July 5, 2016 12:00
$n$-жесткие функции и функциональное уравнение Хирцебруха V. M. Buchstaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) October 7, 2015 18:30
Functional equations and manifolds with torus action V. M. Buchstaber General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences October 30, 2014 14:00
88.
Combinatorics of flag polytopes V. M. Buchstaber St. Petersburg Seminar on Representation Theory and Dynamical Systems October 29, 2014 17:00
Complex cobordisms and toric topology V. M. Buchstaber International conference "Geometry, Topology, Integrable Systems" in honour of S. P. Novikovs 75th birthday June 17, 2013 11:50
Symmetric quadratic dynamical systems V. M. Buchstaber International conference "Analysis and Singularities" dedicated to the 75th anniversary of Vladimir Igorevich Arnold December 19, 2012 10:50
Башни $S^1$-расслоений и приложения V. M. Bukhshtaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) October 17, 2012 18:30
105.
Алгебраически интегрируемые квадратичные динамические системы V. M. Bukhshtaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) September 19, 2012 18:30
Complex cobordisms and formal groups V. M. Buchstaber P.K. Rashevskii seminar on tensor and vector analysis with applications in geometry, mechanics and physics October 24, 2011 18:30
111.
Toric topology V. M. Buchstaber General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences October 10, 2011 13:00
Эллиптические законы сложения и уравнение Ламе V. M. Buchstaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) September 29, 2010 18:30
115.
Общий род Кричевера V. M. Buchstaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) August 25, 2010 14:00
Toric topology V. M. Buchstaber Steklov Mathematical Institute Seminar March 18, 2010 16:00
118.
Кольцо простых многогранников и дифференциальные уравнения V. M. Buchstaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) September 17, 2008
119.
Уравнения теплопроводности, уравнение Шази и сигма функции V. M. Buchstaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) May 21, 2008
120.
Дифференциальные уравнения над кольцом простых многогранников V. M. Buchstaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) March 12, 2008
121.
Abelian functions and singularity theory V. M. Buchstaber International conference "Analysis and Singularities" dedicated to 70th anniversary of Vladimir Igorevich Arnold August 21, 2007 10:05
Гиперэллиптические теоремы сложения и приложения V. M. Buchstaber Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) December 15, 2004
Books in Math-Net.Ru
Geometry, Topology, and Mathematical Physics, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 85th birthday, Trudy Mat. Inst. Steklova, 325, ed. V. M. Buchstaber, P. G. Grinevich, I. A. Dynnikov, O. K. Sheinman, 2024, 333 с. http://mi.mathnet.ru/book1987
Toric Topology, Group Actions, Geometry, and Combinatorics. Part 1, Collected papers, Trudy Mat. Inst. Steklova, 317, ed. V. M. Buchstaber, A. A. Gaifullin, T. E. Panov, N. Yu. Erokhovets, 2022, 210 с. http://mi.mathnet.ru/book1902
Toric Topology, Group Actions, Geometry, and Combinatorics. Part 2, Collected papers, Trudy Mat. Inst. Steklova, 318, ed. V. M. Buchstaber, A. A. Gaifullin, T. E. Panov, N. Yu. Erokhovets, 2022, 204 с. http://mi.mathnet.ru/book1932
Topology and physics, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 302, ed. V. M. Buchstaber, I. A. Dynnikov, O. K. Sheinman, 2018, 399 с. http://mi.mathnet.ru/book1715
Algebra, geometry, and number theory, Collected papers. Dedicated to Academician Vladimir Petrovich Platonov on the occasion of his 75th birthday, Trudy Mat. Inst. Steklova, 292, ed. V. M. Buchstaber, A. G. Sergeev, 2016, 279 с. http://mi.mathnet.ru/book1615
Geometry, topology, and applications, Collected papers. Dedicated to Professor Nikolai Petrovich Dolbilin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 288, ed. V. M. Bukhshtaber, A. G. Sergeev, 2015, 287 с. http://mi.mathnet.ru/book1576
Geometry, topology, and mathematical physics. II, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 266, ed. V. M. Buchstaber, E. F. Mishchenko, 2009, 272 с. http://mi.mathnet.ru/book1149
Geometry, topology, and mathematical physics. I, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 263, ed. V. M. Buchstaber, E. F. Mishchenko, 2008, 272 с. http://mi.mathnet.ru/book817
Nonlinear dynamics, Collected papers, Trudy Mat. Inst. Steklova, 251, ed. V. M. Buchstaber, E. F. Mishchenko, 2005, 319 с. http://mi.mathnet.ru/book264
Solitons, geometry, and topology: on the crossroads, Collection of papers dedicated to the 60th anniversary of academician Sergei Petrovich Novikov, Trudy Mat. Inst. Steklova, 225, ed. V. M. Buchstaber, E. F. Mishchenko, 1999, 400 с. http://mi.mathnet.ru/book238
2024
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