New horizons in homological algebra
Supervisor Name
Haynes Miller
Supervisor Email
hrm@math.mit.edu
University
Massachusetts Institute of Technology
Research field
Mathematics
Bio
Description
In this project, we will investigate the categories of representations ("Beck modules") of algebras of several different types, including level magma, level algebras, and their n-ary variants. In the linear cases, the question of whether the corresponding enveloping algebras are Koszul arises. A more distant goal is gaining some insight into the structure of free algebras, with an eye to understanding something of the Quillen homology and cohomology theories native to these algebraic contexts.
