ъ ГЮМХЛЮЧЯЭ ХЯЯКЕДНБЮМХЪЛХ ПЮГКХВМШУ ГЮДЮВ ДХЯЙПЕРМНИ Х ЙНЛАХМЮРНПМНИ ЦЕНЛЕРПХХ. б МЮЯРНЪЫХИ ЛНЛЕМР, ЛЕМЪ НЯНАЕММН ХМРЕПЕЯСЕР РЕНПХЪ ОЮПЮККЕКНЩДПНБ (Б ВЮЯРМНЯРХ ЦХОНРЕГЮ бНПНМНЦН Н ОЮПЮККЕКНЩДПЮУ), ЦЕНЛЕРПХВЕЯЙХЕ ЯБНИЯРБЮ ЙБЮГХЙПХЯРЮККНБ, НДМНБПЕЛЕММНЕ ПЮГДЕКЕМХЕ БЕПНЪРМНЯРМШУ ЛЕП.

яОХЯНЙ ОСАКХЙЮЖХИ Б НАПЮРМНЛ УПНМНКНЦХВЕЯЙНЛ ОНПЪДЙЕ

1. D. Frettlöh, A. Garber, Bilipschitzequivalence and wobbling equivalence of Delone sets, preprint.
2. D. Frettlöh, A. Garber, Symmetries of Monocoronal Tilings, prepint, arXiv:1402.4658, 2014.
3. A. Garber, On π-surfaces of four-dimensional parallelohedra, prepint, arXiv:1309.7661, 2013.
4. A. Balitskiy, A. Garber, R. Karasev, Another ham sandwich in the plane, preprint, arXiv:1307.7698, 2013.
5. A. Garber, A. Gavrilyuk, A. Magazinov, The Voronoi conjecture for parallelohedra with simply connected δ-surface, preprint, arXiv:1212.1019, 2012.
6. A. Garber, Belt diameter of Π-zonotopes, European Journal of Combinatorics, 34:5 (2013), 923--933. DOI:10.1016/j.ejc.2013.01.005.
7. ю.х. цЮПАЕП, оНЪЯМНЕ ПЮЯЯРНЪМХЕ ЛЕФДС ЦХОЕПЦПЮМЪЛХ ГНМНРНОНБ, ЪБКЪЧЫХУЯЪ ОЮПЮККЕКНЩДПЮЛХ, лЮРЕЛЮРХВЕЯЙХЕ ГЮЛЕРЙХ, 92:3 (2012), 381--394. пЮАНРЮ МЮ ЯЮИРЕ MathNet.
8. A. Garber, The second Voronoi conjecture on parallelohedra for zonotopes, Moscow Journal of Combinatorics and Number Theory, 1:2 (2011), 113--119. The paper on MJCNT web-site.
9. ю.х. цЮПАЕП, н ЙКЮЯЯЮУ ЩЙБХБЮКЕМРМНЯРХ ЛМНФЕЯРБ дЕКНМЕ, лНДЕК. Х ЮМЮКХГ ХМТНПЛ. ЯХЯРЕЛ, 16:2 (2009), 109--118. пЮАНРЮ МЮ ЯЮИРЕ MathNet.
10. ю.х. цЮПАЕП, цПЮТШ КХМЕИМШУ НОЕПЮРНПНБ, рПСДШ лхюм, 263 (2008), 64--71. пЮАНРЮ МЮ ЯЮИРЕ MathNet.
11. ю.х. цЮПАЕП, яКНФМШЕ ОНЯКЕДНБЮРЕКЭМНЯРХ ОН б.х. юПМНКЭДС, лЮРЕПХЮКШ IX лЕФДСМЮПНДМНЦН ЯЕЛХМЮПЮ «дХЯЙПЕРМЮЪ ЛЮРЕЛЮРХЙЮ Х ЕЕ ОПХКНФЕМХЪ», ОНЯБЪЫЕММНЦН 75-КЕРХЧ ЯН ДМЪ ПНФДЕМХЪ ЮЙЮДЕЛХЙЮ н.а. кСОЮМНБЮ, 2007, 374--376.
12. A.I. Garber, Graph of difference operator for p-ary sequences, Functional Analysis and Other Mathematics, 1:2 (2006), 159--173. DOI:10.1007/s11853-007-0011-y.
13. ю.х. цЮПАЕП, ю.о. оНЪПЙНБ, н ОЕПЕЯРЮМНБНВМШУ ЛМНЦНЦПЮММХЙЮ, бЕЯРМХЙ лцс, ЯЕП. 1, БШО. 2 (2006), 3--8.
14. A.I. Garber, A.A. Glazyrin, Rigidity of some classes of cubillages, Proceedings of Second COE Workshop on Sphere Packings, May 30 - June 5, 2005, pp. 86--89.
15. A.I. Garber, A.P. Poyarkov, On permutahedra, Voronoi's Impact in Modern Science. Book 3: Proceedings of Voronoi Conference on analytic number theory and spatial tesselations, Kyiv, Institute of Mathematics, 2005, pp. 137--145.

яНБЛЕЯРМШЕ ХЯЯКЕДНБЮМХЪ

• 18.03-01.04.2009, Institute of Statistical Mathematics, Tokyo, Japan.
• 16.11-12.12.2009, Collaborative Research Center 701 of Bielefeld University, Bielefeld, Germany.
• 26.09-31.10.2010, Centre Interfacultaire Bernoulli, Ecole Polytechnique Federal de Lausanne, Switzerland.
• 29.09-26.10.2011, Queen's University, Kingston, ON, Canada.
• 25.09-18.10.2012, Queen's University, Kingston, ON, Canada.
• 30.10-01.12.2012, Collaborative Research Center 701 of Bielefeld University, Bielefeld, Germany.
• 15.10-14.12.2013, Research Center for Mathematical Modelling of Bielefeld University, Bielefeld, Germany.

мЕЙНРНПШЕ ОПЕГЕМРЮЖХХ

• “Parallelohedra and the Voronoi Conjecture” (partially joint work with Andrey Gavrilyuk and Alexander Magazinov from Steklov Mathematical Institute), November 28, 2013, Discrete Geometry Seminar, Free University Berlin, Berlin, Germany.
• “Another ham sandwich in the plane” (joint work with Alexey Balitskiy and Roman Karasev from Moscow Insitute of Physics and Technology), November 9, 2013, Kolloquium über Kombinatorik, TU Ilmenau, Ilmenau, Germany.
• “Tilings with unique vertex corona” (joint work with Dirk Frettlöh from Bielefeld Univesity), April 18, 2013, Third Texas Southmost Geometry and Topology Conference, University of Texas at Brownsville, Brownsville, TX, USA.
• “Parallelohedra and the Voronoi Conjecture” (partially joint work with Andrey Gavrilyuk and Alexander Magazinov from Steklov Mathematical Institute), November 28, 2012, Collaborative Research Center 701 “Spectral Structures and Topological Methods in Mathematics” Seminar, Bielefeld University, Bielefeld, Germany.
• “Belt diameter of some class of space-filling zonotopes”, May 22, 2012, International Topological Conference “Alexandroff Readings”, Moscow State University, Moscow, Russia.
• “Quasicrystals, bi-Lipschitz equivalence and bounded movement” (joint work with Dirk Frettlöh from Bielefeld Univesity), April 17, 2010, Third Texas Southmost Geometry and Topology Conference, University of Texas at Brownsville, Brownsville, TX, USA.