Low dimensional topology; 3-manifold topology; Knot theory
University of Coimbra
Institution: University of Texas at Austin
The main topic of my research has been on the study of essential surfaces in knot complements, which play a central role on the understanding of 3-manifolds and knot theory. This interest has also led to contributions to the understanding of the Heegaard genus and the rank of knot groups. Other interests include the interactions of Low Dimensional Topology, and its methods, with other areas of science, through computational topology, topological data analysis, et al.