Alexey   Glazyrin

Associate Professor  

Office: BLHSB 2.520
Phone: (956) 882-6610

Dr. Alexey Glazyrin

Selected Publications

  • Alexey Glazyrin and Wei-Hsuan Yu. "Upper bounds for s -distance sets and equiangular lines," Advances in Mathematics 330, (May 2018): 810-833.

  • 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 Wei-Hsuan Yu. "Finite two-distance 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 n-cube," 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 German-Russian 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:
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MATH 6352 95L - Analysis I:
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MATH 7301 04 - Thesis II:
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MATH 6352 01 - Analysis I:
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Previous Courses