Preprints (not yet accepted for publication)

Papers written by undergraduate students I have advised are here.


Some programs by Columbia-affiliated topologists are here. CompuTop has a more extensive list of programs for doing computations in low-dimensional topology.


My research has been supported by an NSF Graduate Research Fellowship, an NSF Mathematical Sciences Postdoctoral Research Fellowship, a Sloan Research Fellowship, and NSF Grants DMS-0905796, DMS-1149800, DMS-1560783, and DMS-1642067. Specific research citations are listed in the papers themselves.

Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.