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Dragomir earned his B.S. degree in Electrical Engineering in 1960 and his Ph.D. degree in Mathematics in 1963 from University of Belgrade, former Yugoslavia. He was employed first as an Assistant from 1960-1964 and then as Docent at the Electrical Engineering Faculty (Section for Mathematics) in Belgrade from 1964-1968, with one year break for military service. During the academic year 1967/1968, he was a Research Associate at Faculty of Mathematics/University of Waterloo and he joined this Faculty in 1968 as an Associate Professor. Next year, he was promoted to a Professor in the Department of Pure Mathematics and remained there until his retirement in 2006. In 2007 Dragomir obtained a honorary degree of Distinguished Professor Emeritus from University of Waterloo.
Dragomir's early research interests were in the areas of Functi onal Equations, Matrix Theory, and Linear and Multilinear Algebra. Subsequently he worked and published extensively in Algebra, including Group Theory, Lie Algebras and Lie Groups, as well as some areas of Combinatorics (Graph Theory, construction of Hadamard Matrices, etc.). One of his important contributions is the classification of adjoint nilpotent orbits of simple (mostly exceptional) real Lie groups with emphasis on determination of their closures. This research project was carried out over a period of ten years. He supervised eight Ph.D. and ten Masters students. At the time of his retirement, Dragomir was attracted to the new exciting research area of Quantum Computation. His interests here are mainly in some special areas of Quantum Information such as the theory of entanglement and distillation.