Mentor Search
Dr. Jonathan Beardsley
( University of Nevada, Reno )
Contact
- Institution:University of Nevada, Reno
- Departments: department of mathematics and statistics
- Research Fields: Topology, Category Theory, Homotopy
- Disciplines: Mathematics and Statistics, Topology and Foundations
Mentoring
My mentoring experiences are the following: advising two undergraduate theses; coadvising a PhD thesis; organizing and mentoring an REU project for three math majors; advising a Master’s thesis (in progress); a great deal of informal mentoring of undergraduates and graduate students in mathematics. While a postdoc at the University of Washington I was nominated for the Postdoc Mentoring Award.
Biography
My research interests are in category theory, algebraic topology, and homotopy theory. I am specifically interested in using homotopical or “derived” algebra, in the form of operads, spectra, and infinity categories, to understand and classify structures that naturally arise in geometry and topology. Some geometric structures that I have specifically studied in previous work or am currently interested in include: cohomological invariants of topological spaces, the stable homotopy groups of spheres, the relationships between cobordism rings as the structure group is varied, A-infinity categories.