A comprehensive study of periodic trajectories of the billiards within ellipsoids in d-dimensional space is presented. The novelty of the approach is based on a relationship established between the periodic billiard trajectories and the extremal polynomials on a systems of d intervals on the real line. The case study of trajectories of small periods T, d ≤ T ≤ 2d is given. This is joint work with Vladimir Dragovic.
Milena Radnovic was born, raised and educated in Belgrade, Serbia. She acquired the degree of Doctor of Science in Mathematics from the University of Belgrade in 2003, worked as a post-doctoral fellow at the Weizmann Institute of Science in Israel from 2004 to 2007, and as an assistant and associate research professor at Mathematical Institute SANU in Belgrade until 2013, when she joined the University of Sydney - first as a research fellow on Nalini Joshi's laureate fellowship grant, then as a senior lecturer.