Brenda Johnson

Areas of interest

I am interested in algebraic topology, especially homotopy theory. My work has focused primarily on the calculus of homotopy functors, and, in particular, on developing alternative models for the calculus of homotopy functors for use in algebraic settings and more general homotopy - theoretic contexts. Recent work involves developing a general framework for understanding functor calculus that includes the calculus of homotopy functors and orthogonal calculus and provides a means for developing new calculus theories as well. I have also worked with undergraduates on problems in knot theory, especially questions about intrinsically linked and knotted graphs.