Mentoring for a UCSB undergraduate topology seminar

As a mentor, I gave personal attention to the seminar, developing academic relationships with undergraduates.

In the undergraduate topology seminar, students learn to research independently through studying  Using the Borsuk-Ulam Theorem : Lectures on Topological Methods in Combinatorics and Geometry, which is a graduate-level mathematics textbook. Main topics are to study basic concepts in PL topology, to understand various proofs of the Borsuk–Ulam theorem, and to journey its applications in combinatorics, graph theory, discrete geometry, and measure theory. 

It is based around the self-paced reading of the textbook with guidance by the mentor. Each student is expected to undertake at least two hours of independent study, one hour of  group discussion, and two hours of meeting with the mentor. During an 2-hour-long weekly meeting, each undergraduate student gives a 20-minute presentation on their progress to an audience of their peers.