- Dr. Beaudry's research is in algebraic topology, more precisely in homotopy theory. She studies of the stable homotopy groups of spheres and various localizations of the category of spectra, a topological analogue of the category of chain complexes. Her main expertise is chromatic homotopy theory, which uses the algebraic geometry of formal group laws to organize information and streamline computations. In this context, she studies transchromatic phenomena and duality. Her work revolves around two important open conjectures (the chromatic splitting conjecture and the telescope conjecture) and she uses tools from equivariant and motivic homotopy theory.