2019 Student Research Conference:

32nd Annual Student Research Conference

32nd Annual Student Research Conference

**Defenders of Mathematics: Henri Poincaré and Cédric Villani**

Michael T. Wohldmann

Dr. Audrey Viguier, Faculty Mentor

Over a century later, one of the most famous contemporary mathematicians in France, Cédric Villani, conducts himself much the same way as perhaps the most highly esteemed French mathematician of the nineteenth century, Jules Henri Poincaré, in their respective work in defending the sciences and mathematics, from Poincaré’s treatises on the sciences to Villani’s TED Talk. But to what extent do these two mathematicians promote mathematics as a field of study in the same way, and where exactly do they differ in their methods? To answer these questions, we must explore how each one frames the study of mathematics in their respective works, meaning we must explore how they present the nature of mathematical reasoning, whether it is truly deductive or inductive in some sense, and the implications of recent mathematical discoveries and novelties.

**Keywords:** PoincarĂ©, Villani, science, mathematics, French, Capstone

**Topic(s):**French

**Presentation Type:** Oral Paper

**Session:** 204-4

**Location:** BH 219

**Time:** 11:00