Research

Research Blog

3Unknots

I study the topology of 3-manifolds, especially hyperbolic geometry.

Here's some examples of things studied in low-dimensional topology:

Casson's 6 planes

Milnor's Doodle

Gabai's lamination (PDF)

Hyperbolic glass (PDF)

Freedman's circle links (PDF)

Thurston's congruence link (PDF)

Scanned Talks:

Knot genus is NP

Classification of non-free 2-parabolic generator Kleinian groups

Conjectures on minimal surfaces and Ricci flow

Geometrization conjecture and universal covers of closed 3-manifolds

Rank and Heegaard genus of arithmetic 3-manifolds

Papers:

Criteria for virtual fibering

Appendix to Volumes of Alternating link complements (joint with Dylan Thurston)

Thesis: Topology of hyperbolic 3-manifolds (PS)

Intersections of curves on the torus (PS)

Archived papers
 

Links:
Front for the math archive

Links to Low-dimensional topology

Computational topology

This material is based upon work supported by the National Science Foundation under Grant No. 0204142
"Any opinions, findings and conclusions or recomendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF)."