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## Kolpakov, Alexander A.

Compute Distance To:
 Author ID: kolpakov.alexander-a Published as: Kolpakov, A.; Kolpakov, A. A.; Kolpakov, Alexander; Kolpakov, Alexander A. Homepage: https://sashakolpakov.wordpress.com/ External Links: MGP · Math-Net.Ru · ORCID · arXiv
 Documents Indexed: 34 Publications since 2006, including 1 Book
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#### Co-Authors

 7 single-authored 6 Kolpakov, Alexander G. 4 Murakami, Jun 3 Martelli, Bruno 3 Mednykh, Aleksandr Dmitrievich 3 Slavich, Leone 2 Ciobanu, Laura 2 Reid, Alan W. 2 Riolo, Stefano 2 Tschantz, Steven Thomas 1 Bottinelli, Rémi 1 Grave de Peralta, Laura 1 Kellerhals, Ruth 1 Pashkevich, M. G. 1 Pashkevich, Marina 1 Robins, Sinai 1 Talambutsa, Alexey
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#### Serials

 3 Proceedings of the American Mathematical Society 2 Discrete Mathematics 2 Aequationes Mathematicae 1 International Journal of Engineering Science 1 Arkiv för Matematik 1 Mathematics of Computation 1 Canadian Journal of Mathematics 1 Glasgow Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Elemente der Mathematik 1 Journal of Elasticity 1 Experimental Mathematics 1 Journal of Algebraic Combinatorics 1 Mathematical Research Letters 1 Sbornik: Mathematics 1 Doklady Physics 1 Algebraic & Geometric Topology 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 Structural and Multidisciplinary Optimization 1 Algebraic Combinatorics
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#### Fields

 13 Manifolds and cell complexes (57-XX) 10 Geometry (51-XX) 9 Group theory and generalizations (20-XX) 9 Convex and discrete geometry (52-XX) 4 Combinatorics (05-XX) 4 Mechanics of deformable solids (74-XX) 2 Number theory (11-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

20 Publications have been cited 59 times in 44 Documents Cited by Year
Hyperbolic four-manifolds with one cusp. Zbl 1283.57022
Kolpakov, Alexander; Martelli, Bruno
2013
Asymptotic behavior of the capacity of a system of closely spaced bodies: Tamm screening effect and network models. Zbl 1192.78038
Kolpakov, A. A.; Kolpakov, A. G.
2007
Some hyperbolic three-manifolds that bound geometrically. Zbl 1319.57015
Kolpakov, Alexander; Martelli, Bruno; Tschantz, Steven
2015
Deformation of finite-volume hyperbolic Coxeter polyhedra, limiting growth rates and Pisot numbers. Zbl 1252.51012
Kolpakov, Alexander
2012
On the optimality of the ideal right-angled 24-cell. Zbl 1272.52014
Kolpakov, Alexander
2012
Embedding arithmetic hyperbolic manifolds. Zbl 1446.57022
Kolpakov, Alexander; Reid, Alan W.; Slavich, Leone
2018
The minimal growth rate of cocompact Coxeter groups in hyperbolic 3-space. Zbl 1302.20045
Kellerhals, Ruth; Kolpakov, Alexander
2014
Volume formula for a $$\mathbb Z_2$$-symmetric spherical tetrahedron through its edge lengths. Zbl 1268.51016
Kolpakov, Alexander; Mednykh, Alexander; Pashkevich, Marina
2013
Symmetries of hyperbolic 4-manifolds. Zbl 1404.57051
Kolpakov, Alexander; Slavich, Leone
2016
A volume formula for $$\mathbb Z_2$$-symmetric spherical tetrahedra. Zbl 1232.52012
Kolpakov, A. A.; Mednykh, A. D.; Pashkevich, M. G.
2011
Spherical structures on torus knots and links. Zbl 1224.57003
Kolpakov, A. A.; Mednykh, A. D.
2009
Design of a laminated plate possessing the required stiffnesses using the minimum number of materials and layers. Zbl 1107.74037
Kolpakov, A. A.
2007
Free subgroups of free products and combinatorial hypermaps. Zbl 1407.05127
Ciobanu, Laura; Kolpakov, Alexander
2019
Combinatorial decompositions, Kirillov-Reshetikhin invariants, and the volume conjecture for hyperbolic polyhedra. Zbl 1391.52015
Kolpakov, Alexander; Murakami, Jun
2018
The dual Jacobian of a generalised hyperbolic tetrahedron, and volumes of prisms. Zbl 1358.51014
Kolpakov, Alexander; Murakami, Jun
2016
Hyperbolic 4-manifolds, colourings and mutations. Zbl 1354.57029
Kolpakov, Alexander; Slavich, Leone
2016
Geodesic growth of right-angled Coxeter groups based on trees. Zbl 1344.05067
Ciobanu, Laura; Kolpakov, Alexander
2016
Erratum to: “Volume of a doubly truncated hyperbolic tetrahedron”. Zbl 1296.51031
Kolpakov, Alexander; Murakami, Jun
2014
Volume of a doubly truncated hyperbolic tetrahedron. Zbl 1273.51015
Kolpakov, Alexander; Murakami, Jun
2013
Design of smart beams – an integrated design procedure. Zbl 1245.74060
Kolpakov, A. A.; Kolpakov, A. G.
2006
Free subgroups of free products and combinatorial hypermaps. Zbl 1407.05127
Ciobanu, Laura; Kolpakov, Alexander
2019
Embedding arithmetic hyperbolic manifolds. Zbl 1446.57022
Kolpakov, Alexander; Reid, Alan W.; Slavich, Leone
2018
Combinatorial decompositions, Kirillov-Reshetikhin invariants, and the volume conjecture for hyperbolic polyhedra. Zbl 1391.52015
Kolpakov, Alexander; Murakami, Jun
2018
Symmetries of hyperbolic 4-manifolds. Zbl 1404.57051
Kolpakov, Alexander; Slavich, Leone
2016
The dual Jacobian of a generalised hyperbolic tetrahedron, and volumes of prisms. Zbl 1358.51014
Kolpakov, Alexander; Murakami, Jun
2016
Hyperbolic 4-manifolds, colourings and mutations. Zbl 1354.57029
Kolpakov, Alexander; Slavich, Leone
2016
Geodesic growth of right-angled Coxeter groups based on trees. Zbl 1344.05067
Ciobanu, Laura; Kolpakov, Alexander
2016
Some hyperbolic three-manifolds that bound geometrically. Zbl 1319.57015
Kolpakov, Alexander; Martelli, Bruno; Tschantz, Steven
2015
The minimal growth rate of cocompact Coxeter groups in hyperbolic 3-space. Zbl 1302.20045
Kellerhals, Ruth; Kolpakov, Alexander
2014
Erratum to: “Volume of a doubly truncated hyperbolic tetrahedron”. Zbl 1296.51031
Kolpakov, Alexander; Murakami, Jun
2014
Hyperbolic four-manifolds with one cusp. Zbl 1283.57022
Kolpakov, Alexander; Martelli, Bruno
2013
Volume formula for a $$\mathbb Z_2$$-symmetric spherical tetrahedron through its edge lengths. Zbl 1268.51016
Kolpakov, Alexander; Mednykh, Alexander; Pashkevich, Marina
2013
Volume of a doubly truncated hyperbolic tetrahedron. Zbl 1273.51015
Kolpakov, Alexander; Murakami, Jun
2013
Deformation of finite-volume hyperbolic Coxeter polyhedra, limiting growth rates and Pisot numbers. Zbl 1252.51012
Kolpakov, Alexander
2012
On the optimality of the ideal right-angled 24-cell. Zbl 1272.52014
Kolpakov, Alexander
2012
A volume formula for $$\mathbb Z_2$$-symmetric spherical tetrahedra. Zbl 1232.52012
Kolpakov, A. A.; Mednykh, A. D.; Pashkevich, M. G.
2011
Spherical structures on torus knots and links. Zbl 1224.57003
Kolpakov, A. A.; Mednykh, A. D.
2009
Asymptotic behavior of the capacity of a system of closely spaced bodies: Tamm screening effect and network models. Zbl 1192.78038
Kolpakov, A. A.; Kolpakov, A. G.
2007
Design of a laminated plate possessing the required stiffnesses using the minimum number of materials and layers. Zbl 1107.74037
Kolpakov, A. A.
2007
Design of smart beams – an integrated design procedure. Zbl 1245.74060
Kolpakov, A. A.; Kolpakov, A. G.
2006
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#### Cited by 51 Authors

 12 Kolpakov, Alexander A. 5 Slavich, Leone 4 Kolpakov, Alexander G. 4 Martelli, Bruno 4 Riolo, Stefano 3 Kellerhals, Ruth 3 Murakami, Jun 2 Mityushev, Vladimir V. 2 Nonaka, Jun 2 Tschantz, Steven Thomas 1 Agol, Ian 1 Andrianov, Igor V. 1 Belolipetsky, Mikhail V. 1 Bottinelli, Rémi 1 Carstensen, Carsten 1 Dimofte, Tudor Dan 1 Egorov, Andrey Aleksandrovich 1 Emery, Vincent 1 Felikson, Anna Aleksandrovna 1 Fujii, Michihiko 1 Gómez, Delfina 1 Grave de Peralta, Laura 1 Ham, Ji-Young 1 Komori, Yohei 1 Kovalevskiĭ, Artëm Pavlovich 1 Lee, Joongul 1 Lin, Francesco 1 Lobo, Miguel Sousa 1 Mednykh, Aleksandr Dmitrievich 1 Molnár, Emil 1 Paquette, Natalie M. 1 Pérez, María Eglée 1 Peterseim, Daniel 1 Petrera, Matteo 1 Rasskazov, Aleksei 1 Reid, Alan W. 1 Rivals, Eric 1 Robins, Sinai 1 Romakina, Lyudmila Nikolaevna 1 Rylko, Natalia 1 Saratchandran, Hemanth 1 Shaposhnikova, Tatiana A. 1 Smyth, Christopher J. 1 Suris, Yuri Borisovich 1 Szirmai, Jenó 1 Talambutsa, Alexey 1 Tumarkin, Pavel 1 Vesnin, Andrei Yu. 1 Vesnin, Andreĭ Yur’evich 1 Yukita, Tomoshige 1 Zubova, Maria N.
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#### Cited in 33 Serials

 5 Proceedings of the American Mathematical Society 3 Algebraic & Geometric Topology 2 Tokyo Journal of Mathematics 2 Topology and its Applications 2 Journal of Applied Mechanics and Technical Physics 1 Computers & Mathematics with Applications 1 Discrete Mathematics 1 Mathematical Biosciences 1 Mathematics of Computation 1 Bulletin of the London Mathematical Society 1 Geometriae Dedicata 1 Journal of Geometry 1 Journal of the London Mathematical Society. Second Series 1 Numerische Mathematik 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 International Journal of Foundations of Computer Science 1 Geometric and Functional Analysis. GAFA 1 Aequationes Mathematicae 1 Journal of Knot Theory and its Ramifications 1 Experimental Mathematics 1 Doklady Mathematics 1 Geometry & Topology 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Matematicheskie Trudy 1 Journal of High Energy Physics 1 Oberwolfach Reports 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Chebyshevskiĭ Sbornik 1 Journal of Theoretical Biology 1 Algebraic Combinatorics
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#### Cited in 25 Fields

 19 Manifolds and cell complexes (57-XX) 13 Geometry (51-XX) 12 Group theory and generalizations (20-XX) 11 Convex and discrete geometry (52-XX) 5 Mechanics of deformable solids (74-XX) 3 Topological groups, Lie groups (22-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Biology and other natural sciences (92-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Partial differential equations (35-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX)