Oleg Musin
Professor
Office:
Phone: (956) 8826627
Email: oleg.musin@utrgv.edu
Dr. Oleg Musin
Areas of Expertise
 Discrete and Computational Geometry, Topology, Sphere Packings, Combinatorics, Applied Mathematics, Coding theory, Computational Biology, Cartography and GIS
Education
 PhD, Mathematics, Moscow State Univeristy, 1980
 MS, Mathematics, Moscow State Univeristy, 1976
Currently Teaching
 MATH 2318 07  Linear Algebra:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 3361 02  Applied Discrete Mathematics:
 Syllabus
 Course Evaluations
 Textbooks
Selected Publications
 Oleg Musin. "Graphs and spherical twodistance sets," European Journal of Combinatorics 80, no. 1 (August 2019): 311325.
 Oleg Musin. "Five Essays on the Geometry of Laszlo Fejes Toth," New Trends in Intuitive Geometry. Springer: Bolyai Society Mathematical Studies, Hungary, 27, 2018: 321333.
 Oleg Musin. "Analogs of Steiner's porism and Soddy's hexlet in higher dimensions via spherical codes,," Archiv der Mathematik 111, no. 5 (November 2018): 493501.
 Zhi Lü and Oleg Musin. "RIGIDITY OF POWERS AND KOSNIOWSKI’S CONJECTURE," Siberian Electr. Math Reports 15 , (October (4th Quarter/Autumn) 2018): 12271236.
 Oleg Musin. "TOWARDS A PROOF OF THE 24CELL CONJECTURE," Springer: Acta Math Hungar. 155, no. 1 (June 2018): 184199.
 Oleg Musin and Jie Wu. "Cobordism classes of maps and covers for spheres," Topology and its Applications 237, no. 1 (March 2018): 2125.
 Herbert Edelsbrunner, Alexey Glazyrin, Oleg Musin, and Anton Nikitenko. "The Voronoi Functional is Maximized by the Delaunay Triangulation in the Plane," Combinatorica 37, no. 5 (2017): 887910.
 Oleg Musin. "KKM type theorems with boundary conditions," J. Fixed Point Theory Appl. 19 , no. 3 (September 2017): 2037–2049.
 Oleg Musin. "Circle actions with two fixed points," Mathematical Notes 100, no. 34 (2016): 636–638.
 Oleg Musin. "Generalizations of Tucker–Fan–Shashkin Lemmas," Arnold Mathematical Journal 2, no. 3 (2016): 299–308.
Selected Grants and Fellowships
 Alexey Garber. Conferences on Discrete Geometry and Algebraic Combinatorics, National Science Foundation, $15,000.00 (2019  2021)
 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
 Oleg Musin. "Highest abundant numbers and the Riemann hypothesis ," Dobrushin Mathematics Laboratory Seminar, Moscow, Russia (May 2019)
 Oleg Musin. "Optimal spherical configurations in four dimensions," XVI International Conference «Algebra, Number Theory and Discrete Geometry", Tula, Russia (May 2019)
 Oleg Musin. "An extension the semidefinite programming bound for spherical codes," Shanks Workshop: Computations and Linear Programming Bounds for Energy, Packing, and Covering, Vanderbilt University, Nashville, TN (May 2019)
 Oleg Musin. "Steiner porism and spherical codes," AMS Spring Southeastern Sectional Meeting, Auburn University, Auburn, AL (March 2019)
 Oleg Musin. "Sphere Packings in Four Dimensions," SMSS Pure Math Seminar, UTRGV (February 2019)
 Oleg Musin. "Combinatorial analogs of fixed point theorems," Meetings of the Moscow Mathematical Society, Moscow, Russia (December 2018)
 Oleg Musin. "Sphere packings, kissing numbers and related topics," December readings in Tomsk, Tomsk Universitty, Tomsk, Russia (December 2018)
 Oleg Musin. "The kissing number and related problems ," CCMS Colloquium, The Claremont College, Claremont, CA (December 2018)
 Oleg Musin. "Sperner’s lemma: generalizations and applications," CCSM Algebra / Number Theory / Combinatorics Seminar, The Claremont College, Claremont, CA (December 2018)
 Oleg Musin. "Sphere packing and spherical codes," AIM Workshop "Discrete geometry and automorphic forms", American Institute of Mathematics, San Jose, California (September 2018)
Current Courses
 MATH 2318 07  Linear Algebra:
 Syllabus
 Course Evaluations
 Textbooks
 MATH 3361 02  Applied Discrete Mathematics:
 Syllabus
 Course Evaluations
 Textbooks
Previous Courses

FALL 2019
 MATH 2318 07  Linear Algebra:
 Syllabus
 Course Evaluations
 MATH 3361 02  Applied Discrete Mathematics:
 Syllabus
 Course Evaluations

SUMMER I 2019
 MATH 2414 03  Calculus II:
 Syllabus
 Course Evaluations
 MATH 3341 02  Diff Equations:
 Syllabus
 Course Evaluations

SPRING 2019
 MATH 2415 11  Calculus III:
 Syllabus
 Course Evaluations
 MATH 2415 11  Calculus III:
 Syllabus
 Course Evaluations
 MATH 4390 12  Math Project:
 Syllabus
 Course Evaluations

FALL 2018
 MATH 2412 15  Precalculus:
 Syllabus
 Course Evaluations
 MATH 3361 02  Applied Discrete Mathematics:
 Syllabus
 Course Evaluations
 MATH 4390 11  Math Project:
 Syllabus
 Course Evaluations

SUMMER I 2018
 MATH 2413 04  Calculus I:
 Syllabus
 Course Evaluations
 MATH 3350 01I  Intro to Math Proof:
 Syllabus
 Course Evaluations
 MATH 3350 02I  Intro to Math Proof:
 Syllabus
 Course Evaluations

SPRING 2018
 MATH 4390 12  Math Project:
 Syllabus
 Course Evaluations

FALL 2017
 MATH 2413 14  Calculus I:
 Syllabus
 Course Evaluations
 MATH 2413 14  Calculus I:
 Syllabus
 Course Evaluations
 MATH 2415 04  Calculus III:
 Syllabus
 Course Evaluations
 MATH 2415 04  Calculus III:
 Syllabus
 Course Evaluations
 MATH 3350 03  Intro to Math Proof:
 Syllabus
 Course Evaluations