I am interested in homotopy theory and algebraic topology. My PhD project approaches rational homotopy theory in the framework of model categories and simplicial sets, and it establishes connections of this approach with the study of categories up to homotopy. I am also interested in the connections of my work with the study of higher categories.
Preprints
A modern perspective on rational homotopy theory, preprint available at math.AT/2505.23322
Talks
Rational complete Segal spaces, Transactions in Category Theory, virtual talk, June 2025
Rational complete Segal spaces, GTA Philadelphia, Temple University, June 2025
The rational model structure on reduced simplicial sets, Upstate New York Topology Seminar (UNYTS), Binghamton University, March 2025
The rational model structure on reduced simplicial sets, University of Virginia Topology Seminar, February 2025
Simplicial methods in rational homotopy theory, University of Virginia Graduate Seminar, November 2024
An introduction to rational homotopy theory, University of Virginia Graduate Seminar, September 2023
An introduction to rational homotopy theory, Graduates Reminisce Online On Topology (GROOT) Summer Seminar, virtual talk available on YouTube, June 2023