Edit Profile (opens in new tab) Garber, Alexeĭ Igorevich Co-Author Distance Author ID: garber.alexei Published as: Garber, Alexey; Garber, A. I.; Garber, A.; Garber, Aleksei I.; Garber, Alexey I.; Garber, Alexei more...less Homepage: http://www.utb.edu/vpaa/csmt/math/Pages/Garber.aspx External Links: MGP · Math-Net.Ru Documents Indexed: 36 Publications since 2005, including 11 Additional arXiv Preprints Co-Authors: 46 Co-Authors with 26 Joint Publications 1,811 Co-Co-Authors all top 5 Co-Authors 10 single-authored 6 Frettlöh, Dirk 4 Edelsbrunner, Herbert 4 Saghafian, Morteza 3 Dolbilin, Nikolaĭ Petrovich 3 Dutour-Sikiric, Mathieu 3 Ghafari, Mohadese 3 Heiss, Teresa 3 Magazinov, Alexander Nikolaevich 3 Schulte, Egon 2 Mañibo, Neil 2 Senechal, Marjorie Wikler 1 Andreev, Nikolaĭ Nikolaevich 1 Baburin, Igor A. 1 Bajo, Esme 1 Balitskiy, Alexey 1 Bouniaev, Mikhail M. 1 Bukhshtaber, Viktor Matveevich 1 De Loera, Jesús A. 1 Erokhovets, Nikolaĭ Yur’evich 1 Jochemko, Katharina Victoria 1 Karasev, Roman N. 1 Konovalov, Sergeĭ Petrovich 1 Kozlov, Valeriĭ Vasil’evich 1 Krivovichev, Sergey V. 1 Leopold, Undine 1 Mal’tsev, Arkadiĭ Anatol’evich 1 Mora, Sofía Garzón 1 Nesterenko, Yuriĭ Valentinovich 1 Novikov, Sergeĭ Petrovich 1 Pak, Igor 1 Parshin, Alekseĭ Nikolaevich 1 Poyarkov, Alexei 1 Poyarkov, Alexey P. 1 Roldán-Pensado, Edgardo 1 Sabitov, Idzhad Khakovich 1 Sadun, Lorenzo A. 1 Schürmann, Achill 1 Semënov, Alekseĭ L’vovich 1 Sergeev, Armen Glebovich 1 Shchepin, Evgeniĭ Vital’evich 1 Sheĭnman, Oleg Karlovich 1 Shtogrin, Mikhail Ivanovich 1 Virk, Žiga 1 Waldmann, Clara 1 Wintraecken, Mathijs Hubertus Maria Johannes 1 Zava, Nicolò all top 5 Serials 3 Discrete & Computational Geometry 2 Russian Mathematical Surveys 2 European Journal of Combinatorics 2 Annals of Combinatorics 2 Acta Crystallographica. Section A 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Mathematika 1 SIAM Journal on Discrete Mathematics 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 The Electronic Journal of Combinatorics 1 Discrete and Continuous Dynamical Systems 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Proceedings of the Steklov Institute of Mathematics 1 Functional Analysis and Other Mathematics 1 Moscow Journal of Combinatorics and Number Theory all top 5 Fields 24 Convex and discrete geometry (52-XX) 10 Combinatorics (05-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Number theory (11-XX) 3 Geometry (51-XX) 2 Operator theory (47-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 58 times in 44 Documents Cited by ▼ Year ▼ The Voronoi conjecture for parallelohedra with simply connected \(\delta\)-surfaces. Zbl 1316.52019 Garber, A.; Gavrilyuk, A.; Magazinov, A. 11 2015 The complete classification of five-dimensional Dirichlet-Voronoi polyhedra of translational lattices. Zbl 1370.82063 Dutour Sikirić, Mathieu; Garber, Alexey; Schürmann, Achill; Waldmann, Clara 9 2016 Pisot substitution sequences, one dimensional cut-and-project sets and bounded remainder sets with fractal boundary. Zbl 1396.37022 Frettlöh, Dirk; Garber, Alexey 6 2018 On \(\pi\)-surfaces of four-dimensional parallelohedra. Zbl 1431.52016 Garber, Alexey 6 2017 On the origin of crystallinity: a lower bound for the regularity radius of Delone sets. Zbl 1444.82010 Baburin, Igor A.; Bouniaev, Mikhail; Dolbilin, Nikolay; Erokhovets, Nikolay Yu.; Garber, Alexey; Krivovichev, Sergey V.; Schulte, Egon 6 2018 On the regularity radius of Delone sets in \({\mathbb{R}}^3\). Zbl 1477.52023 Dolbilin, Nikolay; Garber, Alexey; Leopold, Undine; Schulte, Egon; Senechal, Marjorie 4 2021 Graphs of difference operators for \(p\)-ary sequences. Zbl 1151.11306 Garber, Alexey I. 4 2006 Nikolai Petrovich Dolbilin (on his 70th birthday). Zbl 1291.01031 Andreev, 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 Concrete polytopes may not tile the space. Zbl 1445.52017 Garber, Alexey; Pak, Igor 2 2020 Symmetries of monocoronal tilings. Zbl 1336.52026 Frettlöh, Dirk; Garber, Alexey 1 2015 Another ham sandwich in the plane. Zbl 1321.52022 Balitskiy, Alexey; Garber, Alexey; Karasev, Roman 1 2015 Graphs of linear operators. Zbl 1196.11035 Garber, A. I. 1 2008 Number of bounded distance equivalence classes in hulls of repetitive Delone sets. Zbl 1491.37025 Frettlöh, Dirk; Garber, Alexey; Sadun, Lorenzo 1 2022 On permutahedra. Zbl 1164.52304 Garber, Alexei; Poyarkov, Alexei 1 2005 Belt diameter of \(\varPi\)-zonotopes. Zbl 1263.52008 Garber, A. 1 2013 Permutable polyhedra. Zbl 1130.52007 Poyarkov, A. P.; Garber, A. I. 1 2006 On the Voronoi conjecture for combinatorially Voronoi parallelohedra in dimension 5. Zbl 1453.52014 Dutour Sikirić, Mathieu; Garber, Alexey; Magazinov, Alexander 1 2020 Number of bounded distance equivalence classes in hulls of repetitive Delone sets. Zbl 1491.37025 Frettlöh, Dirk; Garber, Alexey; Sadun, Lorenzo 1 2022 On the regularity radius of Delone sets in \({\mathbb{R}}^3\). Zbl 1477.52023 Dolbilin, Nikolay; Garber, Alexey; Leopold, Undine; Schulte, Egon; Senechal, Marjorie 4 2021 Concrete polytopes may not tile the space. Zbl 1445.52017 Garber, Alexey; Pak, Igor 2 2020 On the Voronoi conjecture for combinatorially Voronoi parallelohedra in dimension 5. Zbl 1453.52014 Dutour Sikirić, Mathieu; Garber, Alexey; Magazinov, Alexander 1 2020 Pisot substitution sequences, one dimensional cut-and-project sets and bounded remainder sets with fractal boundary. Zbl 1396.37022 Frettlöh, Dirk; Garber, Alexey 6 2018 On the origin of crystallinity: a lower bound for the regularity radius of Delone sets. Zbl 1444.82010 Baburin, Igor A.; Bouniaev, Mikhail; Dolbilin, Nikolay; Erokhovets, Nikolay Yu.; Garber, Alexey; Krivovichev, Sergey V.; Schulte, Egon 6 2018 On \(\pi\)-surfaces of four-dimensional parallelohedra. Zbl 1431.52016 Garber, Alexey 6 2017 The complete classification of five-dimensional Dirichlet-Voronoi polyhedra of translational lattices. Zbl 1370.82063 Dutour Sikirić, Mathieu; Garber, Alexey; Schürmann, Achill; Waldmann, Clara 9 2016 The Voronoi conjecture for parallelohedra with simply connected \(\delta\)-surfaces. Zbl 1316.52019 Garber, A.; Gavrilyuk, A.; Magazinov, A. 11 2015 Symmetries of monocoronal tilings. Zbl 1336.52026 Frettlöh, Dirk; Garber, Alexey 1 2015 Another ham sandwich in the plane. Zbl 1321.52022 Balitskiy, Alexey; Garber, Alexey; Karasev, Roman 1 2015 Nikolai Petrovich Dolbilin (on his 70th birthday). Zbl 1291.01031 Andreev, 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 Belt diameter of \(\varPi\)-zonotopes. Zbl 1263.52008 Garber, A. 1 2013 Graphs of linear operators. Zbl 1196.11035 Garber, A. I. 1 2008 Graphs of difference operators for \(p\)-ary sequences. Zbl 1151.11306 Garber, Alexey I. 4 2006 Permutable polyhedra. Zbl 1130.52007 Poyarkov, A. P.; Garber, A. I. 1 2006 On permutahedra. Zbl 1164.52304 Garber, Alexei; Poyarkov, Alexei 1 2005 all cited Publications top 5 cited Publications all top 5 Cited by 49 Authors 10 Garber, Alexeĭ Igorevich 7 Dolbilin, Nikolaĭ Petrovich 4 Dutour-Sikiric, Mathieu 4 Grishukhin, Vyacheslav Petrovich 3 Magazinov, Alexander Nikolaevich 3 Shtogrin, Mikhail Ivanovich 3 Yang, Qi 3 Zong, Chuanming 2 Brandolini, Luca 2 Colzani, Leonardo 2 Frettlöh, Dirk 2 Gavrilyuk, A. A. 2 Kummer, Mario Denis 2 Robins, Sinai 2 Solomon, Yaar 2 Travaglini, Giancarlo 1 Ambrož, Petr 1 Ambrus, Gergely 1 Balko, Martin 1 Berthé, Valérie 1 Böhm, Johannes 1 Bukhshtaber, Viktor Matveevich 1 Bunkova, Elena Yur’evna 1 Cecchi Bernales, Paulina 1 Chua, Lynn 1 de las Penas, Ma. Louise Antonette N. 1 Deza, Michel Marie 1 Frankl, Nóra 1 Han, Mei 1 Jung, Attila 1 Karpenkov, Oleg Nikolaevich 1 Leopold, Undine 1 Masáková, Zuzana 1 Naszódi, Márton 1 Parfinenko, A. S. 1 Pelantová, Edita 1 Perezhogin, Alekseĭ L’vovich 1 Przhiyalkovskiĭ, Viktor Vladimirovich 1 Roldán-Pensado, Edgardo 1 Sadun, Lorenzo A. 1 Schulte, Egon 1 Senechal, Marjorie Wikler 1 Shramov, Konstantin Aleksandrovich 1 Smilansky, Yotam 1 Soberón, Pablo 1 Sriamorn, Kirati 1 Sturmfels, Bernd 1 Taganap, Eduard C. 1 Tsarev, S. Yu. all top 5 Cited in 31 Serials 8 Proceedings of the Steklov Institute of Mathematics 3 Discrete & Computational Geometry 2 Russian Mathematical Surveys 2 European Journal of Combinatorics 2 Functional Analysis and Other Mathematics 1 American Mathematical Monthly 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Mathematics of Computation 1 Advances in Mathematics 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Results in Mathematics 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Transactions of the Moscow Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Journal of Symbolic Computation 1 SIAM Journal on Discrete Mathematics 1 Computational Mathematics and Mathematical Physics 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Experimental Mathematics 1 The Electronic Journal of Combinatorics 1 Discrete and Continuous Dynamical Systems 1 Annals of Combinatorics 1 Journal of Geometry and Symmetry in Physics 1 Chebyshevskiĭ Sbornik 1 Journal of Mathematics and the Arts 1 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 1 Moscow Journal of Combinatorics and Number Theory all top 5 Cited in 17 Fields 34 Convex and discrete geometry (52-XX) 9 Combinatorics (05-XX) 8 Number theory (11-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Geometry (51-XX) 3 Group theory and generalizations (20-XX) 3 Computer science (68-XX) 2 Algebraic geometry (14-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year