Alexey Garber

A-1620, 1 Leninskie gory
Department of Geometry and Topology
Faculty of Mathematics and Mechanics
Moscow State University
119991 Moscow, RUSSIA

tel/fax: +7 495 939 3798

e-mail: alexeygarber at

Assistant Professor

Ph.D. (2009, Steklov Mathematical Institute)

Faculty member since 2009


I am working on different problems of discrete and combinatorial geometry. My current research interests are parallelohedra theory (in particular, the Voronoi conjecture on parallelohedra), geometrical properties of quasicrystals (wobbling and bilipschitz equivalence to a lattice), and measures equipartitions.

List of publications and preprints in reverse chronological order

  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. A.I. Garber, Belt distance between facets of space-filling zonotopes, Mathematical Notes, 92:3-4 (2012), 345--355. DOI:10.1134/S0001434612090064.
  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. A.I. Garber, On equivalence classes of separated nets (in Russian), Modeling and Analysis of Information Systems, 16:2 (2009), 109--118. The paper on MathNet web-site.
  10. A.I. Garber, Graphs of linear operators, Proceedings of the Steklov Institute of Mathematics, 263 (2008), 57--64. DOI:10.1134/S0081543808040056.
  11. A.I. Garber, Complicated sequences due to V.I. Arnold (in Russian), Materials of the 9th International Seminar “Discrete Mathematics and its Application” devoted to 75th Anniversary of the academician O.B. Lupanov, 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. A.I. Garber, A.P. Poyarkov, On permutahedra (in Russian), Vestnik MGU, ser. 1, iss. 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.

Grants and awards

  • October-December, 2013. Winner of joint DAAD (German Academic Exchange Service) and Moscow State University Scholarships Program “Vladimir Vernadskii” for joint research in Germany.
  • 2011-present. Participation in Russian Government “Megagrant” program in the project 11.G34.31.0053 as research fellow of Delone Laboratory of Discrete and Computational Geometry.
  • 2010-present. Russian Government Program for the Support of Leading Scientific Schools (grants ÓŻ-5413.2010.1 and ÓŻ-4995-2012.1, member of research team).
  • 2008-present. Participation in several research projects funded by the Russian Foundation for Basic Research. RFBR grants 08-01-00565 (project in 2008-2010, member of research team), 08-01-91202 (joint Russian-Japanese RFBR-JSPS project in 2008-2009, member of research team), 11-01-00633 (project in 2011-2013, member of research team), 11-01-00735 (project in 2011-2013, member of research team).

Visiting researcher

  • 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.

Selected presentations