By Jennifer T. Allen
University of Kentucky mathematics Assistant Professor Bert Guillou has been awarded funding from the National Science Foundation (NSF) for his research in homotopy theory. The $139,765 grant over three years will enable Guillou to further the understanding of all of the ways that a sphere can be mapped onto a sphere of a different dimension.
“This project will attempt to classify mappings in two related contexts,” Guillou said. “The first is a rigid world of algebraic geometry, where all objects can be described by polynomial equations. The other is the equivariant setting, where symmetries of the spheres are taken into account.”
Guillou will use recently developed techniques to tighten the connection between these two arenas and extend the range of dimensions in which these mappings can be classified.
“The calculation of the set of