Time：14:00-15:30, Friday, January 9 2026
Venue：E14-212
Speaker：Yi Ni, Mathematics at Caltech
Biography：Yi Ni is Professor of Mathematics at Caltech. His research interest is low-dimensional topology. Before coming to Caltech, he went to college and graduate school at Peking University and Princeton University, and did his postdoctoral work at Columbia University and MIT. His honors include an AIM Five-Year Fellowship, an Alfred P. Sloan Research Fellowship, and an NSF CAREER award.
Title：Knot Floer homology and the monodromy of fibered knots
Abstract：Knot Floer homology is an invariant of knots in closed 3-manifolds. This invariant captures a great deal of information about the topology of knot complements. In particular, when a knot is fibered, the information contained in knot Floer homology provides insight into the monodromy of the fibration. I will survey recent work on this topic, including results on bounding the number of fixed points and the characterization of right-veering monodromy.
