[1] In 1873 he went to Paris, where he received his Ph.D. in mathematics from the University of Paris (Sorbonne) in 1879 with a thesis on Study of abelian integrals of the third species, becoming the second Romanian to have a Ph.D. in mathematics from the Sorbonne (the first one was Spiru Haret).

The thesis defense committee consisted of Victor Puiseux (advisor), Charles Briot, and Jean-Claude Bouquet.

[2] In 1882, Emmanuel became a professor of superior algebra and function theory at the Faculty of Sciences of the University of Bucharest.

[4] Among his students were Anton Davidoglu, Alexandru Froda, Traian Lalescu, Grigore Moisil, Alexandru Myller [ro], Miron Nicolescu, Octav Onicescu, Dimitrie Pompeiu, Simion Stoilow, and Gheorghe Țițeica.

Emmanuel was the president of the first Congress of Romanian Mathematicians, held in 1929 in Cluj.