Danika Van Niel
Robert Riley Visiting Assistant Professor
Department of Mathematics and Statistics
Background
Danika Van Niel (she, her) researches algebraic topology, equivariant homotopy theory, equivariant algebra, algebraic K-theory and homotopical combinatorics.
Her primary research area is equivariant homotopy theory. She studies equivariant analogs of algebraic objects and applies this knowledge to do computations. Part of her thesis work deals with Mackey fields, an equivariant analog of fields, which led to a new computation of another equivariant object called twisted topological Hochschild homology. Van Niel also studies homotopical combinatorics, using combinatorial objects such as transfer systems to study properties and structures within equivariant homotopy theory.
Education
Ph.D., Michigan State University
Research Interests
- Algebraic Topology
- Geometric Topology