Department of Mathematics
Undergraduate Research-Math 444
Areas of Interest: Logic, Algebra, Group Theory, Nonstandard analysis
Description: I would invite students to take an undergraduate class they enjoyed and attempt to deepen their understanding of that subject by pursuing a project that picks up where the class leaves off. Such a project could explore connections of that subject to other subjects, or applications of that subject, or just explore the same subject from a different standpoint. For example, a student who had enjoyed Math 421 (Group Theory) could explore connections between group theory and graph theory. Or such a student's project might deal with the applications of group theory to cryptography or error correcting codes. A student who had enjoyed Math 435 (Real Analysis) might study how the subject could be developed using infinitesimals rather than epsilon-delta proofs.