Ukrainian scientist Marina Vyazovskaya received the «Award of Salem 2016» – a prestigious math prize, which is annually awarded to young mathematician for outstanding research results in the sphere of scientific interest of Raphael Salem, primarily the theory of Fourier series.
The Commission was awarded Vyazovskiy for her discoveries of the world level – for a dense packing of spheres in 8-and 24-dimensional spaces using methods of modular forms, reported on the Government portal.
So, in 2016, a mathematician solved the problem, the solution of which scientists worked for several centuries: the packing of spheres in 8-dimensional space and, in collaboration, in 24-dimensional. In other words, the scientist has found a solution to the packing of balls in Euclidean space. Previously, the problem of packing balls were solved only for spaces with three or less dimensions.
«I have worked with number theory. It was about special functions. I worked intensively with his supervisor Don Zahira. Don Cahir mathematical genius who at age 13 left school at 16 University and 20 received the degree of Ph.D. Now he is one of the Directors of the Institute of mathematics of the society of max Planck in Bonn», — Marina told the publication, «The Ukrainians».
«On the packaging of the balls – in fact, this problem is easy to understand — we have a box and need to put in it as many balls of the same radius. A lot depends on the volume of the box,» she explained.
«We need to find a constant correlation between the volume of the box and the number of balls that can be put there. Somewhere in the 50’s, scientists realized that in high dimensions, this problem is related to the theory of information plays a role in coding theory, for example. On the practical value in General is hard for me to say the obvious answer, I have not» — said the scientist.
Marina Vyazovskaya graduated from Kyiv natural-scientific Lyceum No. 145 and the mechanics and mathematics faculty of the Kiev national University named after Taras Shevchenko. In 2010 he defended his thesis at the Institute of mathematics of NAS of Ukraine on «Bumps polynomial and rational functions and quadrature formulas on the sphere», and in 2013 received the degree of doctor of natural Sciences at the University of Bonn, with a thesis «Modular functions and special cycles».
The Ukrainian received the «Award of Salem-2016» for the solution of the packing of balls in Euclidean space 26.01.2017