Faculty

• João Nogueira

  nogueira@mat.uc.pt

• Research Area

  Low dimensional topology; 3-manifold topology; Knot theory; Topological Data Analysis

• Institution

  University of Coimbra

• PhD

  Institution: University of Texas at Austin
  Year: 2011

• Main research publications

  • Knot exterior with all possible meridional essential surfaces , Israel Journal of Mathematics 225 (2018)
  • Fiber surfaces from alternating states (with Darlan Girão, António Salgueiro) , Algebraic and Geometric Topology 15 (2015)
  • The number of strings on essential tangle decompositions of a knot can be unbounded , Algebraic and Geometric Topology 16 (2015)
  • Tunnel number degeneration under the connected sum of prime knots , Topology and its Applications 160 (2013)
  • Incompressible surfaces in handlebodies and boundary reducible 3-manifolds (with Henry Segerman) , Topology and its Applications 158 (2011)

• Adittional information

  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.

Research and Events