Sizes of partitions with a given set of hook lengths

Professor: Nathan Kaplan

Description: Use ideas from the theory of numerical semigroups to study questions about partitions.

Preferred Qualifications: It would be helpful if students have taken an abstract algebra course (but it is not required). This project will be most interesting to students who are eager to learn more about combinatorics and number theory, but no background in those subjects is required. No programming experience is required, but we will be doing a lot of calculations and working through examples using a computer algebra system as a tool, so it would be helpful if a student is interested in learning to write programs.