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Morrissey College of Arts and Sciences

Tao Li

department of mathematics

Photo of Professor Tao Li


Ph.D. California Institute of Technology


Honors and Awards

  • Liftoff Fellowship, Clay Mathematics Institute, 2000
  • Alfred P. Sloan Doctoral Dissertation Fellowship, 1999 − 2000

My research is mainly focused on the topology and geometry of 3-dimensional manifolds.
These manifolds have striking geometric and combinatorial structures. One
goal of my research is to explore the connections between these structures and other
areas of mathematics, such as knot theory and geometric group theory.

Selected publications

  • Immersed essential surfaces in hyperbolic 3-manifolds, Comm. Anal. Geom. 10 (2002), 275-290.
  • Laminar branched surfaces in 3-manifolds, Geom. Topol. 6 (2002) 153-194.
  • Boundary curves of surfaces with the 4-plane property, Geom. Topol. 6 (2002) 609-647.
  • Heegaard surfaces and measured laminations, I: the Waldhausen conjecture, Invent. Math. 167, (2007), 135-177.
  • Heegaard surfaces and measured laminations, II: non-Haken 3-manifolds, J. Amer. Math. Soc., 19 (2006) 625-657.