New contexts in algebra

Supervisor Name

Haynes Miller

Supervisor Email

hrm@math.mit.edu

University

Massachusetts Institute of Technology

Research field

Mathematics

Bio

In this project we will explore exotic algebraic structures in collaboration with students at MIT. A long-term goal is understanding Quillen homology in novel contexts. The immediate goal is understanding "level algebras," modules over them, and their cohomology, but we may enlarge the scope to other types of algebras (Novikov, Jordan, ...).