Alexey Glazyrin
Associate Professor
Office:
Phone: (956) 8826610
Email: alexey.glazyrin@utrgv.edu
Website: faculty.utrgv.edu/alexey.glazyrin
Dr. Alexey Glazyrin
Areas of Expertise
 Discrete geometry
 Computational geometry
 Combinatorics
 Geometry of numbers
Education
 PhD, PhysicoMathematical Sciences, MV Lomonosov Moscow State University, 2010
 MS, Mathematics, MV Lomonosov Moscow State University, 2006
Currently Teaching
 MATH 2318 03  Linear Algebra:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 6352 95L  Analysis I:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 7301 04  Thesis II:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 6352 01  Analysis I:
 Syllabus
 Course Evaluations
 Textbooks
Selected Publications
 Alexey Glazyrin and WeiHsuan Yu. "Upper bounds for s distance sets and equiangular lines," Advances in Mathematics 330, (May 2018): 810833.
 Herbert Edelsbrunner, Alexey Glazyrin, Oleg Musin, and Anton Nikitenko. "The Voronoi Functional is Maximized by the Delaunay Triangulation in the Plane," Combinatorica (2016).
 Alexander Barg, Alexey Glazyrin, Kasso Okoudjou, and WeiHsuan Yu. "Finite twodistance tight frames," Linear Algebra and its Applications 475, (2015): 163–175.
 Nikolay Dolbilin, Herbert Edelsbrunner, Alexey Glazyrin, and Oleg Musin. "Functionals on triangulations of Delaunay sets," Moscow Mathematical Journal 14, no. 3 (2014): 491–504.
 Arseniy Akopyan and Alexey Glazyrin. "On maximum volume simplices in polytopes," Periodica Mathematica Hungarica 69, no. 2 (2014): 251–256.
 Alexey Glazyrin and Filip Moric. "Upper bounds for the perimeter of plane convex bodies," Acta Mathematica Hungarica 142, no. 2 (2014): 366–383.
 Alexey Glazyrin. "Lower bounds for the simplexity of the ncube," Discrete Mathematics 312, no. 24 (2012): 3656–3662.
 Arseniy Akopyan, Alexey Glazyrin, Oleg Musin, and Alexey Tarasov. "The extremal spheres theorem," Discrete Mathematics 311, no. 2 (2011): 171–177.
 Dirk Frettlöh and Alexey Glazyrin. "The lonely vertex problem," Contributions to Algebra and Geometry 50, no. 1 (2009): 71–79.
 Alexey Glazyrin. "Covering a Ball by Smaller Balls," Discrete & Computational Geometry .
Selected Grants and Fellowships
 Alexey Garber. Conferences on Discrete Geometry and Algebraic Combinatorics, National Science Foundation, $40,000.00 (2016  2018)
 Alexey Glazyrin. Sphere packings and related extremal problems, National Science Foundation, $160,000.00 (2014  2017)
 Alexey Glazyrin. Collaborative Research: Positive definite functions in distance geometry and combinatorics, National Science Foundation, $120,000.00 (2011  2014)
Selected Presentations
 Alexey Glazyrin. "Covering with convex homothets," AMS Spring Eastern Sectional Meeting, Northeastern University, Boston, MA (April 2018)
 Alexey Glazyrin. "Sets with few distances and their optimality," Computation and Optimization of Energy, Packing, and Covering, ICERM, Brown University, Providence, RI (April 2018)
 Alexey Glazyrin. "Sets with few distances," Geometry & Topology Seminar, IST Austria, Klosterneuburg, Austria (January 2018)
 Alexey Glazyrin. "Average degrees in sphere packings," Mathematical Congress of the Americas, Mathematical Council of the Americas, Montreal, Canada (July 2017)
 Alexey Glazyrin. "Contact graphs of balls," Joint Mathematics Meetings, American Mathematical Society, Atlanta, Georgia (January 2017)
 Alexey Glazyrin. "Contact graphs of balls," Informal Analysis Seminar, Kent State University, Kent, Ohio (April 2016)
 Alexey Glazyrin. "On perimeters of disjoint convex polygons," Discrete Geometry workshop, Auburn University, Auburn, Alabama (March 2016)
 Alexey Glazyrin. "Strongly regular graphs and spherical configurations," AMS Spring Southeastern Sectional Meeting, American Mathematical Society, Athens, Georgia (March 2016)
 Alexey Glazyrin. "Linear and semidefinite relaxations for spherical codes," The Fifth GermanRussian Week of the Young Researcher on Discrete Geometry, Moscow Institute of Physics and Technology, Dolgopdrudny, Russia (September 2015)
Current Courses
 MATH 2318 03  Linear Algebra:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 6352 95L  Analysis I:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 7301 04  Thesis II:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 6352 01  Analysis I:
 Syllabus
 Course Evaluations
 Textbooks
Previous Courses

FALL 2018
 MATH 2318 03  Linear Algebra:
 Syllabus
 Course Evaluations
 MATH 6352 01  Analysis I:
 Syllabus
 Course Evaluations
 MATH 6352 95L  Analysis I:
 Syllabus
 Course Evaluations
 MATH 7301 04  Thesis II:
 Syllabus
 Course Evaluations

SUMMER I 2018
 MATH 2318 02  Linear Algebra:
 Syllabus
 Course Evaluations
 MATH 3326 90L  Hist of Mathematics:
 Syllabus
 Course Evaluations
 MATH 4355 90L  Topology:
 Syllabus
 Course Evaluations
 MATH 7300 03  Thesis I:
 Syllabus
 Course Evaluations

FALL 2017
 MATH 3352 02  Modern Geometry I:
 Syllabus
 Course Evaluations
 MATH 4390 13  Math Project:
 Syllabus
 Course Evaluations
 MATH 6391 02  Master's Project:
 Syllabus
 Course Evaluations

SUMMER I 2017
 MATH 1314 96L  College Algebra:
 Syllabus
 Course Evaluations
 MATH 2414 03  Calculus II:
 Syllabus
 Course Evaluations
 MATH 6388 01  Discrete Mathematics:
 Syllabus
 Course Evaluations
 MATH 6399 03  Special Topics in Mathematics:
 Syllabus
 Course Evaluations

SPRING 2017
 MATH 3352 02  Modern Geometry I:
 Syllabus
 Course Evaluations
 MATH 4391 08  Research Experience in Math:
 Syllabus
 Course Evaluations
 MATH 6391 01  Master's Project:
 Syllabus
 Course Evaluations

FALL 2016
 MATH 2305 01  Discrete Mathematics:
 Syllabus
 Course Evaluations
 MATH 6330 95L  Linear Algebra:
 Syllabus
 Course Evaluations