Alexey Garber
Assistant Professor
Office:
Phone: (956) 8826672
Email: alexey.garber@utrgv.edu
Website: faculty.utrgv.edu/alexey.garber
Dr. Alexey Garber
Dr. Garber is working on different problems of discrete geometry and combinatorics. His 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.
Areas of Expertise
 Discrete and Combinatorial Geometry
 Combinatorics
Education
 PhD, Mathematics, Steklov Mathematical Institute of Russian Academy of Sciences, 2009
Currently Teaching
 MATH 2414 12  Calculus II:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 4390 04  Math Project:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 2412 14  Precalculus:
 Syllabus
 Course Evaluations
 Textbooks
Selected Publications
 Dirk Frettlöh and Alexey Garber. "Pisot substitution sequences, one dimensional cutandproject sets and bounded remainder sets with fractal boundary," Indagationes Mathematicae 29, no. 4 (August 2018): 11141130.
 Alexey Garber. "On πsurfaces of fourdimensional parallelohedra," Annals of Combinatorics 21, no. 4 (December 2017): 551572.
 Mathieu Dutour Sikiric, Alexey Garber, Achill Schürmann, and Clara Waldmann. "The complete classification of fivedimensional Dirichlet–Voronoi polyhedra of translational lattices," Acta Crystallographica Section A 72, no. 6 (November 2016): 673–683.
 Alexey Garber, Andrey Gavrilyuk, and Alexander Magazinov. "The Voronoi Conjecture for Parallelohedra with Simply Connected δSurfaces," Discrete & Computational Geometry 53, no. 2 (2015): 245–260.
 Alexey Balitskiy, Alexey Garber, and Roman Karasev. "Another ham sandwich in the plane," Annals of Combinatorics 19, no. 2 (May 2015): 235–242.
 Alexey Garber. "Graphs of linear operators," Proceedings of the Steklov Institute of Mathematics 263, no. 1 (2008): 57–64.
 Igor Baburin, Mikhail Bouniaev, Nikolay Dolbilin, Nikolay Erokhovets, Alexey Garber, Sergey Krivovichev, and Egon Schulte. "On the Origin of Crystallinity: a Lower Bound for the Regularity Radius of Delone Sets," Acta Crystallographica Section A .
 Alexey Garber. "On triangular paperfolding patterns," arXiv preprint arXiv:1807.05627 .
 Alexey Garber and Edgardo RoldánPensado. "On a Hellytype question for central symmetry," Periodica Mathematica Hungarica .
 Dirk Frettlöh and Alexey Garber. "Weighted 1x1 cutandproject sets in bounded distance to a lattice," Discrete & Computational Geometry .
Selected Grants and Fellowships
 Alexey Garber. Conferences on Discrete Geometry and Algebraic Combinatorics, National Science Foundation, $40,000.00 (2016  2018)
 Nikolay Dolbilin. SQuaRE "Delaunay sets: local rules in crystalline structures", American Institute of Mathematics, San Jose, CA, (November 2018)
 Alexey Garber. Dynasty Foundation Grant for Young Mathematicians, Dynasty Foundation, (January 2014  August 2014)
 Alexey Garber. researcher in the projects НШ5413.2010.1 and НШ49952012.1, Russian Government Program for the Support of Leading Scientific Schools, $62,500.00 (January 2010  August 2014)
 Alexey Garber. researcher in RFBR grants 080100565, 080191202, 110100633, 110100735, Russian Foundation for Basic Research, $198,000.00 (January 2008  August 2014)
 Alexey Garber. project 11.G34.31.0053 of the "Megagrant" program, research fellow of the Delone Laboratory of Discrete and Computational Geometry, Government of the Russian Federation, $4,867,500.00 (November 2011  December 2013)
 Alexey Garber. project 16.740.11.0568 "Functional Analysis and Discrete Geometry", Russian Federal Program "Kadry", $46,875.00 (January 2011  December 2013)
Current Courses
 MATH 2414 12  Calculus II:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 4390 04  Math Project:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 2412 14  Precalculus:
 Syllabus
 Course Evaluations
 Textbooks
Previous Courses

FALL 2018
 MATH 2412 14  Precalculus:
 Syllabus
 Course Evaluations
 MATH 2414 12  Calculus II:
 Syllabus
 Course Evaluations
 MATH 4390 04  Math Project:
 Syllabus
 Course Evaluations

SUMMER I 2018
 MATH 2414 03  Calculus II:
 Syllabus
 Course Evaluations
 MATH 3341 02  Diff Equations:
 Syllabus
 Course Evaluations

SPRING 2018
 MATH 2414 11  Calculus II:
 Syllabus
 Course Evaluations
 MATH 2414 11  Calculus II:
 Syllabus
 Course Evaluations
 MATH 4390 11  Math Project:
 Syllabus
 Course Evaluations
 MATH 4391 07  Research Experience in Math:
 Syllabus
 Course Evaluations

FALL 2017
 MATE 3317 01I  Perspectives in Math & Sci:
 Syllabus
 Course Evaluations
 MATE 3317 02I  Perspectives in Math & Sci:
 Syllabus
 Course Evaluations
 MATH 2414 08  Calculus II:
 Syllabus
 Course Evaluations
 MATH 2414 08  Calculus II:
 Syllabus
 Course Evaluations
 MATH 3361 02  Applied Discrete Mathematics:
 Syllabus
 Course Evaluations
 MATH 4390 06  Math Project:
 Syllabus
 Course Evaluations

SUMMER I 2017
 MATH 1314 97L  College Algebra:
 Syllabus
 Course Evaluations
 MATH 2412 04  Precalculus:
 Syllabus
 Course Evaluations
 MATH 4352 01  Modern Geometry II:
 Syllabus
 Course Evaluations
 MATH 4390 01  Math Project:
 Syllabus
 Course Evaluations

SPRING 2017
 MATH 2414 09  Calculus II:
 Syllabus
 Course Evaluations
 MATH 4390 14  Math Project:
 Syllabus
 Course Evaluations
 MATH 4391 07  Research Experience in Math:
 Syllabus
 Course Evaluations

FALL 2016
 MATH 2414 09  Calculus II:
 Syllabus
 Course Evaluations
 MATH 2414 09  Calculus II:
 Syllabus
 Course Evaluations
 MATH 3352 02  Modern Geometry I:
 Syllabus
 Course Evaluations
 MATH 3352 90L  Modern Geometry I:
 Syllabus
 Course Evaluations
 MATH 3363 02  Modern Algebra I:
 Syllabus
 Course Evaluations
 MATH 4390 07  Math Project:
 Syllabus
 Course Evaluations
 MATH 4391 02  Research Experience in Math:
 Syllabus
 Course Evaluations
 MATH 6331 95L  Algebra I:
 Syllabus
 Course Evaluations