Edit Profile Bukhshtaber, Viktor Matveevich Compute Distance To: Compute Author ID: bukhshtaber.viktor-matveevich Published as: Buchshtaber, V. M.; Buchstaber, V.; Buchstaber, V. M.; Buchstaber, Victor; Buchstaber, Victor M.; Buchstaber, Victor Matveevich; Buchstaber, Viktor M.; Buckshtaber, V. M.; Bukhshtaber, V. M.; Bukhshtaber, V. M. B.; Bukhshtaber, Viktor Matveevich; Bukhstaber, V. Homepage: http://higeom.math.msu.su/people/buchstaber/ External Links: MGP · Math-Net.Ru · Wikidata · GND Documents Indexed: 240 Publications since 1966, including 14 Books Biographic References: 3 Publications all top 5 Co-Authors 45 single-authored 30 Novikov, Sergeĭ Petrovich 16 Panov, Taras E. 14 Leĭkin, D. V. 11 Tertychnyĭ, Sergeĭ Ivanovich 10 Enolskiĭ, Viktor Zelikovich 10 Rees, Elmer G. 9 Kozlov, Valeriĭ Vasil’evich 9 Krichever, Igor’ Moiseevich 9 Mal’tsev, Arkadiĭ Anatol’evich 9 Mishchenko, Aleksandr Sergeevich 8 Bunkova, Elena Yur’evna 8 Ray, Nigel 8 Sinaĭ, Yakov Grigor’evich 7 Erokhovets, Nikolaĭ Yur’evich 7 Kholodov, Alexander Nickolaevich 7 Parshin, Alexei N. 6 Veselov, Alexander Petrovich 5 Maslov, V. K. 5 Orlov, Dmitri O. 5 Terzić, Svjetlana 4 Anosov, Dmitriĭ Viktorovich 4 Faddeev, Lyudvig Dmitrievich 4 Karpov, O. V. 4 Kashin, Boris Sergeevich 4 Vasil’ev, Viktor Anatol’evich 3 Adyan, Sergeĭ Ivanovich 3 Ayano, Takanori 3 Chernavskij, A. V. 3 Glutsyuk, Alexey A. 3 Ibragimov, Il’dar Abdullovich 3 Khovanskiĭ, Askold Georgievich 3 Lando, Sergei K. 3 Lejkin, D. V. 3 Margulis, Grigoriĭ Aleksandrovich 3 Maslov, Viktor Pavlovich 3 Mikhailov, Aleksandr V. 3 Ol’shanskiĭ, Aleksandr Yur’evich 3 Reshetnyak, Yuriĭ Grigor’evich 3 Shchepin, Evgenij V. 3 Shiryaev, Al’bert Nikolaevich 3 Shkalikov, Andreĭ Andreevich 3 Shorina, Svetlana Yu. 3 Sosinskiĭ, Alekseĭ Bronislavovich 3 Stepin, Anatolii Mikhailovich 3 Treshchev, Dmitriĭ Valer’evich 3 Vershik, Anatoliĭ Moiseevich 3 Zel’manov, Efim Isaakovich 2 Aĭvazyan, Sergeĭ Artem’evich 2 Alexandrov, Victor A. 2 Aptekarev, Alexander Ivanovich 2 Arnol’d, Vladimir Igorevich 2 Aseev, Sergei M. 2 Beklemishev, Lev D. 2 Benyash-Krivets, Valeriĭ Vatslavovich 2 Braden, Harry W. 2 Chernousov, Vladimir I. 2 Chirka, Evgeni M. 2 Dolbilin, Nikolaĭ Petrovich 2 Dubrovin, Boris Anatol’evich 2 Enyukov, I. S. 2 Fedorchuk, Vitaly Vitalievich 2 Fel’dman, Konstantin Èduardovich 2 Fomenko, Anatoliĭ Timofeevich 2 Fuchs, Dmitry Borisovich 2 Gaifullin, Alexander A. 2 Grines, Vyacheslav Zigmundovich 2 Gurevich, B. M. 2 Helemskii, Alexander Ya. 2 Ilyashenko, Yulij Sergeevich 2 Kaimanovich, Vadim A. 2 Kazaryan, Maxim Eduardovich 2 Kislyakov, Sergeĭ Vital’evich 2 Kulikov, Viktor Stepanovich 2 Kuz’min, Leonid Viktorovich 2 Lazarev, Andrey 2 Leykin, D. V. 2 Lysenok, Igor’ Geront’evich 2 Morozova, E. A. 2 Nesterenko, Yuriĭ Valentinovich 2 Piontkovskij, D. I. 2 Ponomarev, V. I. 2 Prasad, Gopal 2 Rapinchuk, Andrei S. 2 Sabitov, Idzhad Khakovich 2 Sadovnichiĭ, Viktor Antonovich 2 Sataev, Evgueni A. 2 Schwarz, Albert S. 2 Semenov, Alexei Lvovich 2 Sergeev, Armen Glebovich 2 Sheĭnman, Oleg Karlovich 2 Shokurov, A. V. 2 Suetin, Sergeĭ Pavlovich 2 Taimanov, Iskander Asanovich 2 Ustinov, Alekseĭ Vladimirovich 2 Vesnin, Andrei Yu. 2 Volodin, Vadim D. 2 Voronov, Theodore 2 Zarelua, A. V. 2 Zelenyuk, E. A. 2 Zhirov, Aleksei Yu ...and 179 more Co-Authors all top 5 Serials 77 Russian Mathematical Surveys 20 Functional Analysis and its Applications 9 Proceedings of the Steklov Institute of Mathematics 7 Mathematics of the USSR. Izvestiya 6 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 6 Moscow Mathematical Journal 5 Theoretical and Mathematical Physics 5 Uspekhi Matematicheskikh Nauk [N. S.] 5 IMRN. International Mathematics Research Notices 5 Mathematics of the USSR, Sbornik 5 Izvestiya: Mathematics 4 Chebyshevskiĭ Sbornik 4 Translations. Series 2. American Mathematical Society 3 Mathematical Notes 3 Matematicheskiĭ Sbornik. Novaya Seriya 3 Soviet Mathematics. Doklady 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Soviet Mathematics 2 Obozrenie Prikladnoĭ i Promyshlennoĭ Matematiki 2 Sbornik: Mathematics 2 Doklady Mathematics 2 Reviews in Mathematics and Mathematical Physics 2 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Journal of Mathematical Physics 1 Nonlinearity 1 Duke Mathematical Journal 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Izvestiya Akademii Nauk SSSR. Tekhnicheskaya Kibernetika 1 Mathematische Zeitschrift 1 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 1 Topology and its Applications 1 Acta Applicandae Mathematicae 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Mathematical Analysis 1 Matematicheskiĭ Sbornik 1 Vychislitel’nye Sistemy 1 Zapiski Nauchnykh Seminarov POMI 1 Voprosy Kibernetiki (Moskva) 1 Journal of Mathematical Sciences (New York) 1 Selecta Mathematica. New Series 1 Transformation Groups 1 Geometry & Topology 1 Homology, Homotopy and Applications 1 Journal of Nonlinear Mathematical Physics 1 Algebraic & Geometric Topology 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Mathematical Surveys and Monographs 1 University Lecture Series 1 AIP Conference Proceedings 1 Springer Proceedings in Mathematics & Statistics 1 Arnold Mathematical Journal all top 5 Fields 74 Algebraic geometry (14-XX) 62 Manifolds and cell complexes (57-XX) 48 Algebraic topology (55-XX) 40 History and biography (01-XX) 29 Convex and discrete geometry (52-XX) 27 Dynamical systems and ergodic theory (37-XX) 21 Partial differential equations (35-XX) 19 Associative rings and algebras (16-XX) 18 Special functions (33-XX) 16 Nonassociative rings and algebras (17-XX) 13 Commutative algebra (13-XX) 13 Ordinary differential equations (34-XX) 13 Quantum theory (81-XX) 12 Group theory and generalizations (20-XX) 11 Combinatorics (05-XX) 10 General and overarching topics; collections (00-XX) 10 Difference and functional equations (39-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Differential geometry (53-XX) 8 Statistics (62-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Functional analysis (46-XX) 5 Operator theory (47-XX) 5 General topology (54-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Topological groups, Lie groups (22-XX) 4 Functions of a complex variable (30-XX) 4 Biology and other natural sciences (92-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Numerical analysis (65-XX) 2 Number theory (11-XX) 2 Computer science (68-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 146 Publications have been cited 1,064 times in 519 Documents Cited by ▼ Year ▼ Torus actions and their applications in topology and combinatorics. Zbl 1012.52021Buchstaber, Victor M.; Panov, Taras E. 151 2002 Toric topology. Zbl 1375.14001Buchstaber, Victor M.; Panov, Taras E. 48 2015 Kleinian functions, hyperelliptic Jacobians and applications. Zbl 0911.14019Buchstaber, V. M.; Enolskii, V. Z.; Leykin, D. V. 48 1997 Rational analogues of Abelian functions. Zbl 1056.14049Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V. 23 1999 Elliptic Dunkl operators, root systems, and functional equations. Zbl 0842.35128Buchstaber, V. M.; Felder, G.; Veselov, A. P. 23 1994 Torus actions, combinatorial topology, and homological algebra. Zbl 1010.52011Buchstaber, Victor M.; Panov, Taras E. 22 2000 Uniformization of Jacobi varieties of trigonal curves and nonlinear differential equations. Zbl 0978.58012Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V. 21 2000 Tangential structures on toric manifolds, and connected sums of polytopes. Zbl 0996.52013Buchstaber, Victor M.; Ray, Nigel 20 2001 Functional equations associated with addition theorems for elliptic functions and two-valued algebraic groups. Zbl 0724.39005Bukhshtaber, V. M. 19 1990 Algebras of cellular cochains, and torus actions. Zbl 1068.52020Baskakov, I. V.; Bukhshtaber, V. M.; Panov, T. E. 18 2004 Formal groups, power systems and Adams operators. Zbl 0222.55008Bukhshtaber, V. M.; Novikov, S. P. 18 1971 Torus actions and combinatorics of polytopes. Zbl 0996.52012Buchstaber, V. M.; Panov, T. E. 17 1999 Spaces of polytopes and cobordism of quasitoric manifolds. Zbl 1176.55004Buchstaber, Victor M.; Panov, Taras E.; Ray, Nigel 16 2007 \(n\)-valued groups: theory and applications. Zbl 1129.20045Buchstaber, Victor M. 15 2006 Toric genera. Zbl 1206.57039Buchstaber, Victor; Panov, Taras; Ray, Nigel 13 2010 Applied statistics. Classification and reduction of dimensionality. Reference edition. (Prikladnaya statistika. Klassifikatsiya i snizhenie razmernosti. Spravochnoe izdanie). Ed. by S. A. Ajvazyan. Zbl 0719.62070Ajvazyan, S. A.; Bukhshtaber, V. M.; Enyukov, I. S.; Meshalkin, L. D. 13 1989 Krichever formal groups. Zbl 1271.55005Buchstaber, V. M.; Bunkova, E. Yu. 12 2011 Rotation number quantization effect. Zbl 1196.81132Buchstaber, V. M.; Karpov, O. V.; Tertychniy, S. I. 12 2010 Addition laws on Jacobian varieties of plane algebraic curves. Zbl 1132.14024Bukhshtaber, V. M.; Leĭkin, D. V. 12 2005 Hyperelliptic Kleinian functions and applications. Zbl 0911.14020Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V. 12 1997 Integrable correspondences and algebraic representations of multivalued groups. Zbl 0885.58018Buchstaber, V. M.; Veselov, A. P. 12 1996 Cohomological rigidity of manifolds defined by 3-dimensional polytopes. Zbl 1383.57038Buchstaber, V. M.; Erokhovets, N. Yu.; Masuda, M.; Panov, T. E.; Park, S. 11 2017 Polynomial dynamical systems and the Korteweg-de Vries equation. Zbl 1360.14093Buchstaber, V. M. 11 2016 Polynomial Lie algebras. Zbl 1027.17020Bukhshtaber, V. M.; Leĭkin, D. V. 11 2002 Multivalued groups, their representations and Hopf algebras. Zbl 0891.20044Buchstaber, V. M.; Rees, E. G. 11 1997 Explicit solution family for the equation of the resistively shunted Josephson junction model. Zbl 1291.34002Buchstaber, V. M.; Tertychniy, S. I. 10 2013 Solution of the problem of differentiation of abelian functions over parameters for families of \((n, s)\)-curves. Zbl 1156.14315Bukhshtaber, V. M.; Leĭkin, D. V. 10 2008 Holomorphic solutions of the double confluent Heun equation associated with the RSJ model of the Josephson junction. Zbl 1326.82028Buchstaber, V. M.; Tertychnyi, S. I. 9 2015 Complex cobordism and formal groups. Zbl 1275.55004Buchstaber, V. M. 9 2012 A system on a torus modelling the dynamics of a Josephson junction. Zbl 1248.34062Buchstaber, V. M.; Karpov, O. V.; Tertychnyj, S. I. 9 2012 Ring of simple polytopes and differential equations. Zbl 1184.52012Buchstaber, V. M. 9 2008 An invitation to toric topology: vertex four of a remarkable tetrahedron. Zbl 1155.57300Buchstaber, Victor M.; Ray, Nigel 9 2008 Dieudonné modules and \(p\)-divisible groups associated with Morava \(kK\)-theory of Eilenberg-Mac Lane spaces. Zbl 1134.55004Buchstaber, Victor; Lazarev, Andrey 9 2007 Integrable equations, addition theorems, and the Riemann-Schottky problem. Zbl 1134.14306Bukhshtaber, V. M.; Krichever, I. M. 9 2006 Toric manifolds and complex cobordisms. Zbl 0967.57030Bukhshtaber, V. M.; Ray, N. 9 1998 Formal groups, functional equations and generalized cohomology theories. Zbl 0694.55008Bukhshtaber, V. M.; Kholodov, A. N. 9 1990 Landweber-Novikov algebra and formal vector fields on the line. Zbl 0402.55008Bukhshtaber, V. M.; Shokurov, A. V. 9 1978 Automorphisms of the solution spaces of special double-confluent Heun equations. Zbl 1360.34176Buchstaber, V. M.; Tertychnyi, S. I. 8 2016 Combinatorial 2-truncated cubes and applications. Zbl 1271.52011Buchstaber, Victor M.; Volodin, Vadim D. 8 2012 Sharp upper and lower bounds for nestohedra. Zbl 1237.52006Buchstaber, V. M.; Volodin, V. D. 8 2011 Rings of continuous functions, symmetric products, and Frobenius algebras. Zbl 1065.54007Bukhshtaber, V. M.; Rees, E. G. 8 2003 The Gelfand map and symmetric products. Zbl 1015.05092Buchstaber, V. M.; Rees, E. G. 8 2002 The general analytic solution of a functional equation of addition type. Zbl 0873.39010Braden, H. W.; Buchstaber, V. M. 8 1997 On determinants of modified Bessel functions and entire solutions of double confluent Heun equations. Zbl 1356.33004Buchstaber, V. M.; Glutsyuk, A. A. 7 2016 Coefficient rings of formal group laws. Zbl 1362.14047Buchstaber, V. M.; Ustinov, A. V. 7 2015 Nerve complexes and moment-angle spaces of convex polytopes. Zbl 1298.52017Ayzenberg, A. A.; Buchstaber, V. M. 7 2011 \(\sigma\)-functions of \((n,s)\)-curves. Zbl 1081.14519Bukhshtaber, V. M.; Leĭkin, D. V.; Ènol’skiĭ, V. Z. 7 1999 Combinatorial algebras and multivalued involutive groups. Zbl 0878.05082Buchstaber, V. M.; Evdokimov, S. A.; Ponomarenko, I. N.; Vershik, A. M. 7 1996 Vector addition theorems and Baker-Akhiezer functions. Zbl 0803.39006Bukhshtaber, V. M.; Krichever, I. M. 7 1993 Formal groups and their role in the apparatus of algebraic topology. Zbl 0224.57006Bukhshtaber, V. M.; Mishchenko, A. S.; Novikov, S. P. 7 1971 The Chern-Dold character in cobordisms. I. Zbl 0219.57027Bukhshtaber, V. M. 7 1971 Constructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopes. Zbl 1378.05196Buchstaber, Victor M.; Erokhovets, Nikolai Yu. 6 2017 Topology and geometry of the canonical action of \(T^4\) on the complex Grassmannian \(G_{4,2}\) and the complex projective space \(\mathbb{C}P^5\). Zbl 1376.57041Buchstaber, Victor M.; Terzić, Svjetlana 6 2016 Manifolds of solutions for Hirzebruch functional equations. Zbl 1331.32014Buchstaber, V. M.; Bunkova, E. Yu. 6 2015 On the properties of a differential equation describing the dynamics of a strongly shunted Josephson junction. Zbl 1113.34302Bukhshtaber, V. M.; Karpov, O. V.; Tertychnyi, S. I. 6 2003 Formal groups and their role in the apparatus of algebraic topology. Zbl 0226.55007Bukhshtaber, V. M.; Mishchenko, A. S.; Novikov, S. P. 6 1972 Formal groups, power systems and Adams operators. Zbl 0239.55005Bukhshtaber, V. M.; Novikov, S. P. 6 1971 Infinite-dimensional Lie algebras determined by the space of symmetric squares of hyperelliptic curves. Zbl 1425.17031Bukhshtaber, V. M.; Mikhaĭlov, A. V. 5 2017 Coefficient rings of Tate formal groups determining Krichever genera. Zbl 1348.14111Bunkova, E. Yu.; Buchstaber, V. M.; Ustinov, A. V. 5 2016 Truncations of simple polytopes and applications. Zbl 1351.51019Buchstaber, V. M.; Erokhovets, N. Yu. 5 2015 On a remarkable sequence of Bessel matrices. Zbl 1345.15008Bukhshtaber, V. M.; Tertychnyi, S. I. 5 2015 \( \mathbb{C}P(2)\)-multiplicative Hirzebruch genera and elliptic cohomology. Zbl 1367.57019Buchstaber, V. M.; Netay, E. Yu 5 2014 Torus actions in topology and combinatorics. Zbl 1107.52010Bukhshtaber, V. M.; Panov, T. E. 5 2004 Heat equations in a nonholomic frame. Zbl 1069.47019Bukhshtaber, V. M.; Leĭkin, D. V. 5 2004 Multivalued groups, \(n\)-Hopf algebras and \(n\)-ring homomorphisms. Zbl 0903.20039Buchstaber, V. M.; Rees, E. G. 5 1998 On a remarkable functional equation in the theory of generalized Dunkl operators and transformations of elliptic genera. Zbl 0870.39009Buchstaber, V. M.; Veselov, A. P. 5 1996 Multivalued groups and Hopf \(n\)-algebras. Zbl 0879.20042Bukhshtaber, V. M.; Rees, E. G. 5 1996 The Landweber-Novikov algebra and formal vector fields on the line. Zbl 0409.55004Bukhshtaber, V. M.; Shokurov, A. V. 5 1979 K-theory on the category of finite cell complexes. Zbl 0182.25803Bukhshtaber, V. M.; Mishchenko, A. S. 5 1969 On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect. Zbl 1377.34108Buchstaber, V. M.; Glutsyuk, A. A. 4 2017 On manifolds defined by 4-colourings of simple 3-polytopes. Zbl 1365.57040Buchstaber, V. M.; Panov, T. E. 4 2016 Polytopes, Fibonacci numbers, Hopf algebras, and quasi-symmetric functions. Zbl 1239.52006Bukhshtaber, V. M.; Erokhovets, N. Yu 4 2011 Frobenius \(n\)-homomorphisms, transfers and branched coverings. Zbl 1152.46017Buchstaber, V. M.; Rees, E. G. 4 2008 Trilinear functional equations. Zbl 1093.14049Bukhshtaber, V. M.; Lejkin, D. V. 4 2005 Combinatorics of simplicial cell complexes and torus actions. Zbl 1098.52003Bukhshtaber, V. M.; Panov, T. E. 4 2004 Flag manifolds and the Landweber-Novikov algebra. Zbl 0907.57025Buchstaber, Victor M.; Ray, Nigel 4 1998 Topological applications of the theory of two-valued formal groups. Zbl 0402.57032Bukhshtaber, V. M. 4 1978 Zweiwertige formale Gruppen. Algebraische Theorie und Anwendung auf Cobordismen. I. Zbl 0324.14010Bukhshtaber, V. M. 4 1975 Fullerenes, polytopes and toric topology. Zbl 1414.52006Buchstaber, Victor M.; Erokhovets, Nikolay Yu. 3 2018 Representations of the Klein group determined by quadruples of polynomials associated with the double confluent Heun equation. Zbl 1395.34086Buchstaber, V. M.; Tertychnyi, S. I. 3 2018 Polynomial Lie algebras and the Zelmanov-Shalev theorem. Zbl 1435.17009Buchstaber, Victor M. 3 2017 Hirzebruch functional equation and elliptic functions of level \(d\). Zbl 1336.33037Buchstaber, V. M.; Netay, I. V. 3 2015 Polynomial dynamical systems and ordinary differential equations associated with the heat equation. Zbl 1275.35012Buchstaber, V. M.; Bunkova, E. Yu. 3 2012 Addition theorems, formal group laws and integrable systems. Zbl 1253.37071Buchstaber, V. M.; Bunkova, E. Yu. 3 2010 Generalized Kramers-Wannier duality for spin systems with non-commutative symmetry. Zbl 1057.81063Buchstaber, Victor M.; Monastyrsky, Michael I. 3 2003 The Yang-Baxter transformation. Zbl 1015.17012Bukhshtaber, V. M. 3 1998 A recursive family of differential polynomials generated by the Sylvester identity, and addition theorems for hyperelliptic Kleinian functions. Zbl 1126.33301Bukhshtaber, V. M.; Leĭkin, D. V.; Ènol’skiĭ, V. Z. 3 1997 Integrable systems with pairwise interactions and functional equations. Zbl 0894.35109Braden, H. W.; Buchstaber, V. M. 3 1997 Multidimensional vector addition theorems and the Riemann theta functions. Zbl 1061.14502Buchstaber, V.; Krichever, I. 3 1996 Dunkl operators, functional equations, and transformations of the elliptic genera. Zbl 0832.33012Bukhshtaber, V. M.; Veselov, A. P. 3 1994 Time series analysis and Grassmannians. Zbl 0842.65100Buchstaber, V. M. 3 1994 Characteristic cobordism classes and topological applications of the theories of one-valued and two-valued formal groups. Zbl 0428.55002Bukhshtaber, V. M. 3 1979 Two-valued formal groups. Algebraic theory and applications to cobordism. I. Zbl 0339.14032Bukhshtaber, V. M. 3 1977 Cobordisms in problems of algebraic topology. Zbl 0398.57041Bukhshtaber, V. M. 3 1975 Modules of differentials of the Atiyah-Hirzebruch spectral sequence. II. Zbl 0222.57029Bukhshtaber, V. M. 3 1971 Der Chern-Doldsche Charakter in Kobordismen. I. Zbl 0204.23503Bukhshtaber, V. M. 3 1970 Total positivity, Grassmannian and modified Bessel functions. Zbl 1427.14102Buchstaber, V. M.; Glutsyuk, A. A. 2 2019 Cobordisms, manifolds with torus action, and functional equations. Zbl 1431.57033Buchstaber, V. M. 2 2018 Two-valued groups, Kummer varieties, and integrable billiards. Zbl 1403.14062Buchstaber, V. M.; Dragović, Vladimir 2 2018 The universal formal group that defines the elliptic function of level 3. Zbl 1441.55003Bukhshtaber, V. M.; Bunkova, E. Yu. 2 2015 Total positivity, Grassmannian and modified Bessel functions. Zbl 1427.14102Buchstaber, V. M.; Glutsyuk, A. A. 2 2019 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. Zbl 1420.14104Ayano, Takanori; Buchstaber, Victor M. 1 2019 Fullerenes, polytopes and toric topology. Zbl 1414.52006Buchstaber, Victor M.; Erokhovets, Nikolay Yu. 3 2018 Representations of the Klein group determined by quadruples of polynomials associated with the double confluent Heun equation. Zbl 1395.34086Buchstaber, V. M.; Tertychnyi, S. I. 3 2018 Cobordisms, manifolds with torus action, and functional equations. Zbl 1431.57033Buchstaber, V. M. 2 2018 Two-valued groups, Kummer varieties, and integrable billiards. Zbl 1403.14062Buchstaber, V. M.; Dragović, Vladimir 2 2018 Recent developments in integrable systems and related topics of mathematical physics. Kezenoi-Am, Russia, 2016. Zbl 1412.37003Buchstaber, Victor M. (ed.); Konstantinou-Rizos, Sotiris (ed.); Mikhailov, Alexander V. (ed.) 1 2018 Cohomological rigidity of manifolds defined by 3-dimensional polytopes. Zbl 1383.57038Buchstaber, V. M.; Erokhovets, N. Yu.; Masuda, M.; Panov, T. E.; Park, S. 11 2017 Constructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopes. Zbl 1378.05196Buchstaber, Victor M.; Erokhovets, Nikolai Yu. 6 2017 Infinite-dimensional Lie algebras determined by the space of symmetric squares of hyperelliptic curves. Zbl 1425.17031Bukhshtaber, V. M.; Mikhaĭlov, A. V. 5 2017 On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect. Zbl 1377.34108Buchstaber, V. M.; Glutsyuk, A. A. 4 2017 Polynomial Lie algebras and the Zelmanov-Shalev theorem. Zbl 1435.17009Buchstaber, Victor M. 3 2017 Polynomial dynamical systems and the Korteweg-de Vries equation. Zbl 1360.14093Buchstaber, V. M. 11 2016 Automorphisms of the solution spaces of special double-confluent Heun equations. Zbl 1360.34176Buchstaber, V. M.; Tertychnyi, S. I. 8 2016 On determinants of modified Bessel functions and entire solutions of double confluent Heun equations. Zbl 1356.33004Buchstaber, V. M.; Glutsyuk, A. A. 7 2016 Topology and geometry of the canonical action of \(T^4\) on the complex Grassmannian \(G_{4,2}\) and the complex projective space \(\mathbb{C}P^5\). Zbl 1376.57041Buchstaber, Victor M.; Terzić, Svjetlana 6 2016 Coefficient rings of Tate formal groups determining Krichever genera. Zbl 1348.14111Bunkova, E. Yu.; Buchstaber, V. M.; Ustinov, A. V. 5 2016 On manifolds defined by 4-colourings of simple 3-polytopes. Zbl 1365.57040Buchstaber, V. M.; Panov, T. E. 4 2016 Toric topology. Zbl 1375.14001Buchstaber, Victor M.; Panov, Taras E. 48 2015 Holomorphic solutions of the double confluent Heun equation associated with the RSJ model of the Josephson junction. Zbl 1326.82028Buchstaber, V. M.; Tertychnyi, S. I. 9 2015 Coefficient rings of formal group laws. Zbl 1362.14047Buchstaber, V. M.; Ustinov, A. V. 7 2015 Manifolds of solutions for Hirzebruch functional equations. Zbl 1331.32014Buchstaber, V. M.; Bunkova, E. Yu. 6 2015 Truncations of simple polytopes and applications. Zbl 1351.51019Buchstaber, V. M.; Erokhovets, N. Yu. 5 2015 On a remarkable sequence of Bessel matrices. Zbl 1345.15008Bukhshtaber, V. M.; Tertychnyi, S. I. 5 2015 Hirzebruch functional equation and elliptic functions of level \(d\). Zbl 1336.33037Buchstaber, V. M.; Netay, I. V. 3 2015 The universal formal group that defines the elliptic function of level 3. Zbl 1441.55003Bukhshtaber, V. M.; Bunkova, E. Yu. 2 2015 \( \mathbb{C}P(2)\)-multiplicative Hirzebruch genera and elliptic cohomology. Zbl 1367.57019Buchstaber, V. M.; Netay, E. Yu 5 2014 Dynamical systems on a torus with identity Poincaré map which are associated with the Josephson effect. Zbl 1300.34102Buchstaber, V. M.; Tertychnyi, S. I. 2 2014 Nikolai Petrovich Dolbilin (on his 70th birthday). Zbl 1291.01031Andreev, N. N.; Buchstaber, V. M.; Garber, A. I.; Kozlov, V. V.; Konovalov, S. P.; Mal’tsev, A. A.; Nesterenko, Yu V.; Novikov, S. P.; Parshin, A. N.; Sabitov, I. Kh; Semenov, A. L.; Sergeev, A. G.; Sheinman, O. K.; Shtogrin, M. I.; Shchepin, E. V. 2 2014 Hopf algebras and homology of loop suspension spaces. Zbl 1360.55017Buchstaber, Victor; Grbić, Jelena 1 2014 Ludvig Dmitrievich Faddeev (on his 80th birthday). Zbl 1311.01030Aref’eva, I. Ya.; Buchstaber, V. M.; Velikhov, E. P.; Zhizhchenko, A. B.; Zakharov, V. E.; Ibragimov, I. A.; Kislyakov, S. V.; Kozlov, V. V.; Kulish, P. P.; Lipatov, L. N.; Maslov, V. P.; Matveev, V. A.; Novikov, S. P.; Osipov, Yu. S.; Polyakov, A. M.; Rubakov, V. A.; Semenov-Tian-Shansky, M. A.; Simonov, Yu. A.; Sinai, Ya. G.; Slavnov, A. A.; Sokolov, I. A.; Takhtajan, L. A.; Fortov, V. E.; Shatashvili, S. L. 1 2014 Explicit solution family for the equation of the resistively shunted Josephson junction model. Zbl 1291.34002Buchstaber, V. M.; Tertychniy, S. I. 10 2013 Toric genera of homogeneous spaces and their fibrations. Zbl 1312.14118Buchstaber, Victor M.; Terzić, Svjetlana 1 2013 Complex cobordism and formal groups. Zbl 1275.55004Buchstaber, V. M. 9 2012 A system on a torus modelling the dynamics of a Josephson junction. Zbl 1248.34062Buchstaber, V. M.; Karpov, O. V.; Tertychnyj, S. I. 9 2012 Combinatorial 2-truncated cubes and applications. Zbl 1271.52011Buchstaber, Victor M.; Volodin, Vadim D. 8 2012 Polynomial dynamical systems and ordinary differential equations associated with the heat equation. Zbl 1275.35012Buchstaber, V. M.; Bunkova, E. Yu. 3 2012 Krichever formal groups. Zbl 1271.55005Buchstaber, V. M.; Bunkova, E. Yu. 12 2011 Sharp upper and lower bounds for nestohedra. Zbl 1237.52006Buchstaber, V. M.; Volodin, V. D. 8 2011 Nerve complexes and moment-angle spaces of convex polytopes. Zbl 1298.52017Ayzenberg, A. A.; Buchstaber, V. M. 7 2011 Polytopes, Fibonacci numbers, Hopf algebras, and quasi-symmetric functions. Zbl 1239.52006Bukhshtaber, V. M.; Erokhovets, N. Yu 4 2011 Toric genera. Zbl 1206.57039Buchstaber, Victor; Panov, Taras; Ray, Nigel 13 2010 Rotation number quantization effect. Zbl 1196.81132Buchstaber, V. M.; Karpov, O. V.; Tertychniy, S. I. 12 2010 Addition theorems, formal group laws and integrable systems. Zbl 1253.37071Buchstaber, V. M.; Bunkova, E. Yu. 3 2010 The general Krichever genus. Zbl 1226.55004Buchstaber, V. M. 1 2010 Heat equations and families of two-dimensional sigma functions. Zbl 1185.37148Bunkova, E. Yu.; Buchstaber, V. M. 2 2009 Solution of the problem of differentiation of abelian functions over parameters for families of \((n, s)\)-curves. Zbl 1156.14315Bukhshtaber, V. M.; Leĭkin, D. V. 10 2008 Ring of simple polytopes and differential equations. Zbl 1184.52012Buchstaber, V. M. 9 2008 An invitation to toric topology: vertex four of a remarkable tetrahedron. Zbl 1155.57300Buchstaber, Victor M.; Ray, Nigel 9 2008 Frobenius \(n\)-homomorphisms, transfers and branched coverings. Zbl 1152.46017Buchstaber, V. M.; Rees, E. G. 4 2008 Equivariant complex structures on homogeneous spaces and their cobordism classes. Zbl 1170.57026Buchstaber, Victor M.; Terzić, Svjetlana 2 2008 Mathematical models of the dynamics of an overdamped Josephson junction. Zbl 1180.34043Buchstaber, V. M.; Karpov, O. V.; Tertychnyi, S. I. 1 2008 Face-polynomials of simple polytopes and the two-parameter Todd genus. Zbl 1184.52011Buchstaber, V. M. 1 2008 Spaces of polytopes and cobordism of quasitoric manifolds. Zbl 1176.55004Buchstaber, Victor M.; Panov, Taras E.; Ray, Nigel 16 2007 Dieudonné modules and \(p\)-divisible groups associated with Morava \(kK\)-theory of Eilenberg-Mac Lane spaces. Zbl 1134.55004Buchstaber, Victor; Lazarev, Andrey 9 2007 The universal equivariant genus and Krichever’s formula. Zbl 1171.55301Buchstaber, V. M.; Ray, N. 2 2007 Quasilinear Burgers-Hopf equation and Stasheff polytopes. Zbl 1157.18006Buchstaber, V. M.; Koritskaya, E. V. 2 2007 Differentiation of abelian functions with respect to parameters. Zbl 1152.14044Bukhshtaber, V. M.; Leĭkin, D. V. 2 2007 \(n\)-valued groups: theory and applications. Zbl 1129.20045Buchstaber, Victor M. 15 2006 Integrable equations, addition theorems, and the Riemann-Schottky problem. Zbl 1134.14306Bukhshtaber, V. M.; Krichever, I. M. 9 2006 Representations of \(m\)-valued groups on triangulations of manifolds. Zbl 1123.57013Buchstaber, V. M.; Gaifullin, A. A. 2 2006 Functional equations defining multiplication in a continuous Krichever-Novikov basis. Zbl 1152.47302Bukhshtaber, V. M.; Leĭkin, D. V. 1 2006 Addition laws on Jacobian varieties of plane algebraic curves. Zbl 1132.14024Bukhshtaber, V. M.; Leĭkin, D. V. 12 2005 Trilinear functional equations. Zbl 1093.14049Bukhshtaber, V. M.; Lejkin, D. V. 4 2005 The Gelfand transform in commutative algebra. Zbl 1106.13006Buchstaber, V.; Lazarev, A. 2 2005 Hyperelliptic addition law. Zbl 1362.33024Buchstaber, Victor; Leykin, Dmitry 1 2005 Algebras of cellular cochains, and torus actions. Zbl 1068.52020Baskakov, I. V.; Bukhshtaber, V. M.; Panov, T. E. 18 2004 Torus actions in topology and combinatorics. Zbl 1107.52010Bukhshtaber, V. M.; Panov, T. E. 5 2004 Heat equations in a nonholomic frame. Zbl 1069.47019Bukhshtaber, V. M.; Leĭkin, D. V. 5 2004 Combinatorics of simplicial cell complexes and torus actions. Zbl 1098.52003Bukhshtaber, V. M.; Panov, T. E. 4 2004 The \(w\)-function of the KdV hierarchy. Zbl 1075.37024Buchstaber, V. M.; Shorina, S. Yu. 1 2004 Rings of continuous functions, symmetric products, and Frobenius algebras. Zbl 1065.54007Bukhshtaber, V. M.; Rees, E. G. 8 2003 On the properties of a differential equation describing the dynamics of a strongly shunted Josephson junction. Zbl 1113.34302Bukhshtaber, V. M.; Karpov, O. V.; Tertychnyi, S. I. 6 2003 Generalized Kramers-Wannier duality for spin systems with non-commutative symmetry. Zbl 1057.81063Buchstaber, Victor M.; Monastyrsky, Michael I. 3 2003 Egorov hydrodynamic chains, the Chazy equation, and the group \(SL(2,\mathbb C)\). Zbl 1075.37527Bukhshtaber, V. M.; Lejkin, D. V.; Pavlov, M. V. 1 2003 Torus actions and their applications in topology and combinatorics. Zbl 1012.52021Buchstaber, Victor M.; Panov, Taras E. 151 2002 Polynomial Lie algebras. Zbl 1027.17020Bukhshtaber, V. M.; Leĭkin, D. V. 11 2002 The Gelfand map and symmetric products. Zbl 1015.05092Buchstaber, V. M.; Rees, E. G. 8 2002 Multidimensional Schrödinger equations with abelian potentials. Zbl 1059.81036Buchstaber, V. M.; Eilbeck, J. C.; Enolskii, V. Z.; Leykin, D. V.; Salerno, M. 1 2002 Tangential structures on toric manifolds, and connected sums of polytopes. Zbl 0996.52013Buchstaber, Victor M.; Ray, Nigel 20 2001 A constructive proof of the generalized Gelfand isomorphism. Zbl 0993.54018Buchstaber, V. M.; Rees, E. G. 2 2001 Torus actions, combinatorial topology, and homological algebra. Zbl 1010.52011Buchstaber, Victor M.; Panov, Taras E. 22 2000 Uniformization of Jacobi varieties of trigonal curves and nonlinear differential equations. Zbl 0978.58012Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V. 21 2000 Algebraic aspects of the theory of multiplications in complex cobordism theory. Zbl 0971.57038Botvinnik, B. I.; Buchshtaber, V. M.; Novikov, S. P.; Yuzvinskij, S. A. 1 2000 The index of an equivariant vector field and addition theorems for Pontryagin classes. Zbl 0969.55001Bukhshtaber, V. M.; Fel’dman, K. È. 1 2000 Moment-angle complexes and combinatorics of simplicial manifolds. Zbl 0974.52013Bukhshtaber, V. M.; Panov, T. E. 1 2000 Torus actions determined by simple polytopes. Zbl 0978.13012Buchstaber, Victor M.; Panov, Taras E. 1 2000 Rational analogues of Abelian functions. Zbl 1056.14049Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V. 23 1999 Torus actions and combinatorics of polytopes. Zbl 0996.52012Buchstaber, V. M.; Panov, T. E. 17 1999 \(\sigma\)-functions of \((n,s)\)-curves. Zbl 1081.14519Bukhshtaber, V. M.; Leĭkin, D. V.; Ènol’skiĭ, V. Z. 7 1999 Groups of polynomial transformations of a line, non-formal symplectic manifolds, and the Landweber-Novikov algebra. Zbl 1050.53069Bukhshtaber, V. M. 2 1999 Toric manifolds and complex cobordisms. Zbl 0967.57030Bukhshtaber, V. M.; Ray, N. 9 1998 Multivalued groups, \(n\)-Hopf algebras and \(n\)-ring homomorphisms. Zbl 0903.20039Buchstaber, V. M.; Rees, E. G. 5 1998 Flag manifolds and the Landweber-Novikov algebra. Zbl 0907.57025Buchstaber, Victor M.; Ray, Nigel 4 1998 The Yang-Baxter transformation. Zbl 1015.17012Bukhshtaber, V. M. 3 1998 Kleinian functions, hyperelliptic Jacobians and applications. Zbl 0911.14019Buchstaber, V. M.; Enolskii, V. Z.; Leykin, D. V. 48 1997 Hyperelliptic Kleinian functions and applications. Zbl 0911.14020Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V. 12 1997 Multivalued groups, their representations and Hopf algebras. Zbl 0891.20044Buchstaber, V. M.; Rees, E. G. 11 1997 The general analytic solution of a functional equation of addition type. Zbl 0873.39010Braden, H. W.; Buchstaber, V. M. 8 1997 A recursive family of differential polynomials generated by the Sylvester identity, and addition theorems for hyperelliptic Kleinian functions. Zbl 1126.33301Bukhshtaber, V. M.; Leĭkin, D. V.; Ènol’skiĭ, V. Z. 3 1997 ...and 46 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 512 Authors 48 Bukhshtaber, Viktor Matveevich 13 Panov, Taras E. 12 Bunkova, Elena Yur’evna 12 Enolskiĭ, Viktor Zelikovich 11 Masuda, Mikiya 11 Matsutani, Shigeki 9 Bahri, Anthony P. 9 Bendersky, Martin 9 Gitler Hammer, Samuel Carlos 8 Choi, Suyoung 8 Cohen, Frederick Ronald 8 Dragović, Vladimir 8 Lü, Zhi 8 Previato, Emma 8 Tertychnyĭ, Sergeĭ Ivanovich 7 Aĭzenberg, Anton Andreevich 7 Bakuradze, Malkhaz 7 Glutsyuk, Alexey A. 7 Limonchenko, Ivan Yur’evich 7 Sarkar, Soumen 6 Geng, Xianguo 6 Grbić, Jelena 6 Illarionov, Andrei A. 6 Kuroki, Shintarô 6 López de Medrano, Santiago 6 Millionshchikov, Dmitriĭ Vladimirovich 6 Živaljević, Rade T. 5 Eilbeck, John Chris 5 Erokhovets, Nikolaĭ Yur’evich 5 Ray, Nigel 5 Suh, Dong Youp 5 Tempesta, Piergiulio 5 Theriault, Stephen D. 5 Vershik, Anatoliĭ Moiseevich 5 Veselov, Alexander Petrovich 5 Wiemeler, Michael 4 Ayano, Takanori 4 Braden, Harry W. 4 Gaifullin, Alexander A. 4 Grinevich, Pëtr Georgievich 4 Grujić, Vladimir N. 4 Gugnin, Dmitriĭ V. 4 La Luz, José 4 Lämmerzahl, Claus 4 Leĭkin, D. V. 4 Nakayashiki, Atsushi 4 Notbohm, Dietrich 3 Bernatska, Julia 3 Civan, Yusuf 3 Fan, Feifei 3 Hackmann, Eva 3 Hazewinkel, Michiel 3 Hikami, Kazuhiro 3 Iriye, Kouyemon 3 Kim, Jin Hong 3 Komori, Yasushi 3 Kozlowski, Andrzej 3 Kukić, Katarina 3 Kunz, Jutta 3 Liu, Dengpin 3 Mironov, Andreĭ Evgen’evich 3 Netay, Igor V. 3 Ônishi, Yoshihiro 3 Park, Hanchul 3 Park, Seonjeong 3 Poddar, Mainak 3 Rees, Elmer G. 3 Saramago, Rui Miguel 3 Stafa, Mentor 3 Stokman, Jasper V. 3 Ustinov, Alekseĭ Vladimirovich 3 Ustinovskiy, Yury M. 3 Vershinin, Vladimir V. 3 Vesnin, Andrei Yu. 3 Yamaguchi, Kohhei 3 Zhai, Yunyun 2 Abenda, Simonetta 2 Abramyan, Semyon A. 2 Abusev, R. A. jun. 2 Aisbett, Natalie 2 Allen, David H. 2 Athorne, Chris 2 Baralić, Đorđe 2 Beben, Piotr 2 Borisov, Alekseĭ Vladimirovich 2 Brezhnev, Yurii V. 2 Burban, Igor 2 Cao, Xiangyu 2 Carlson, Magnus 2 Chen, Liman 2 Domokos, Mátyás 2 Dubrovin, Boris Anatol’evich 2 Eilers, Keno 2 England, Matthew 2 Etingof, Pavel Il’ich 2 Evdokimov, Sergeĭ Alekseevich 2 Felder, Giovanni 2 Félix, Yves 2 Feng, Yang 2 Filimonov, D. A. ...and 412 more Authors all top 5 Cited in 140 Serials 52 Proceedings of the Steklov Institute of Mathematics 25 Functional Analysis and its Applications 19 Advances in Mathematics 18 Algebraic & Geometric Topology 16 Journal of Mathematical Physics 16 Mathematical Notes 16 Russian Mathematical Surveys 15 Topology and its Applications 13 Journal of Pure and Applied Algebra 12 Osaka Journal of Mathematics 11 Theoretical and Mathematical Physics 10 Journal of Algebra 9 Journal of Geometry and Physics 9 Proceedings of the American Mathematical Society 9 Transactions of the American Mathematical Society 8 Siberian Mathematical Journal 8 Transactions of the Moscow Mathematical Society 8 Chinese Annals of Mathematics. Series B 7 Communications in Mathematical Physics 7 Automation and Remote Control 7 Boletín de la Sociedad Matemática Mexicana. Third Series 6 Mathematische Zeitschrift 6 Journal of Mathematical Sciences (New York) 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Letters in Mathematical Physics 5 Mathematical Proceedings of the Cambridge Philosophical Society 4 Geometriae Dedicata 4 Journal of the Mathematical Society of Japan 4 Journal of Soviet Mathematics 4 Discrete & Computational Geometry 4 Regular and Chaotic Dynamics 4 Journal of Nonlinear Mathematical Physics 4 Arnold Mathematical Journal 3 Nuclear Physics. B 3 Physics Letters. A 3 Mathematische Annalen 3 Physica D 3 International Journal of Mathematics 3 Cybernetics and Systems Analysis 3 Selecta Mathematica. New Series 3 Sbornik: Mathematics 3 Transformation Groups 3 Geometry & Topology 3 Algebras and Representation Theory 3 Central European Journal of Mathematics 3 Sibirskie Èlektronnye Matematicheskie Izvestiya 3 Chebyshevskiĭ Sbornik 3 Journal of Homotopy and Related Structures 3 European Journal of Mathematics 2 International Journal of Modern Physics A 2 Journal of Mathematical Analysis and Applications 2 Nonlinearity 2 Annales de l’Institut Fourier 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Journal of Combinatorial Theory. Series A 2 Manuscripta Mathematica 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Tohoku Mathematical Journal. Second Series 2 European Journal of Combinatorics 2 Acta Applicandae Mathematicae 2 Forum Mathematicum 2 Linear Algebra and its Applications 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Georgian Mathematical Journal 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Acta Mathematica Sinica. English Series 2 Journal of Dynamical and Control Systems 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Physics A: Mathematical and Theoretical 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Acta Mathematica 1 Collectanea Mathematica 1 Compositio Mathematica 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Statistical Planning and Inference 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Ricerche di Matematica 1 Studies in Applied Mathematics 1 Tokyo Journal of Mathematics 1 Advances in Applied Mathematics 1 Bulletin of the Korean Mathematical Society 1 Combinatorica 1 \(K\)-Theory 1 SIAM Journal on Discrete Mathematics 1 Computational Geometry 1 Numerical Algorithms ...and 40 more Serials all top 5 Cited in 55 Fields 170 Algebraic geometry (14-XX) 139 Algebraic topology (55-XX) 133 Manifolds and cell complexes (57-XX) 67 Dynamical systems and ergodic theory (37-XX) 62 Convex and discrete geometry (52-XX) 60 Combinatorics (05-XX) 52 Commutative algebra (13-XX) 36 Associative rings and algebras (16-XX) 32 Special functions (33-XX) 32 Quantum theory (81-XX) 30 Partial differential equations (35-XX) 27 Group theory and generalizations (20-XX) 25 Ordinary differential equations (34-XX) 25 Differential geometry (53-XX) 24 Several complex variables and analytic spaces (32-XX) 22 Nonassociative rings and algebras (17-XX) 21 Difference and functional equations (39-XX) 20 Global analysis, analysis on manifolds (58-XX) 18 Mechanics of particles and systems (70-XX) 15 Functions of a complex variable (30-XX) 13 Number theory (11-XX) 13 Statistical mechanics, structure of matter (82-XX) 11 Category theory; homological algebra (18-XX) 10 Functional analysis (46-XX) 9 Operator theory (47-XX) 8 Statistics (62-XX) 6 \(K\)-theory (19-XX) 5 General topology (54-XX) 5 Relativity and gravitational theory (83-XX) 5 Systems theory; control (93-XX) 4 History and biography (01-XX) 4 Field theory and polynomials (12-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Topological groups, Lie groups (22-XX) 4 Geometry (51-XX) 4 Mechanics of deformable solids (74-XX) 4 Information and communication theory, circuits (94-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral transforms, operational calculus (44-XX) 3 Computer science (68-XX) 3 Optics, electromagnetic theory (78-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) Citations by Year Wikidata Timeline