Mathematics and Computer Science in the Information Revolution

This text is a presentation given during the doctoral sessions of the Ecole Doctorale Mathématiques et Informatique at Cheikh Anta Diop University. Our aim was simply to arouse the curiosity of those present, especially doctoral students in Mathematics, Computer Science, and Telecommunications. We set ourselves the goal of demonstrating the close link between Mathematics and Computer Science. After an overview of the background, we went on to look at some of the research topics that have interested us over the last 10 years, and which have the particularity of having a close link with Computer Science, with Mathematics as the main tool at our disposal.