Cluster Algebras

Cluster algebras are a class of commutative rings with a remarkable combinatorial structure; they have connections to diverse topics in mathematics including representation theory, Teichmuller theory, and integrable systems. Students participating in this project will learn about cluster algebras while offering useful feedback on an in-progress book project. They may also be asked to make a few figures. Ideally, research partners should be math concentrators with a strong background in algebra and combinatorics.

Note: Applicants should include a brief description of the undergraduate and graduate-level math classes they have taken in algebra, geometry, and combinatorics, as well as a brief description of their computer skills, with their application materials.