We'll work on calculating and understanding trace modules over various kinds of commutative rings. The goal of this project is to contribute to the development of modern trace module theory within commutative algebra as part of a larger NSF-funded project "Singularities, Rigidity and Trace Modules". Students will conduct literature searches, learn to use Macaulay2 and other computational software and develop general research skills within "pure" math (e.g. learning how to generate and pursue math research questions).
These positions are part of a larger newly NSF-funded project "Singularities, Rigidity and Trace Modules" and will help with the long-term development of an undergraduate commutative algebra group within the Claremont Consortium. Trace Modules themselves are attracting a lot of attention within commutative algebra, with lots of room for undergraduates to develop their own research questions, make meaningful mathematical contributions and/or publish (e.g. https://arxiv.org/abs/1802.06491). The project already has a number of undergrads working on it, so you will be joining a team of students and have the opportunity to work both independently and collaboratively.