Assistant Professor of Mathematics, BA, Western Michigan University; MA and PhD, University of Virginia

jjohnson@marybaldwin.edu

I hold a master’s degree and PhD in mathematics from University of Virginia. My area is algebraic topology, the study of general geometric shapes. Specifically, I am interested in both equivariant K-theory and homotopy type theory. K-theory gives us a way to add, subtract, and multiply geometric shapes. By studying this, one gets a lot of information about properties of the shape. K-theory shows up in physics quite often, especially in grand unified theories, ideas first championed by Einstein. Homotopy type theory is a way to examine logic, the basis of all mathematics, using topology and algebra. In graduate school, I taught in both the ITE and BRIDGE summer programs in the engineering department at University of Virginia. In my free time I am an avid cyclist and vacationer.

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