I'm currently a Ritt Assistant Professor at Columbia University. I graduated in 2011 with a PhD in mathematics from the University of Pennsylvania under the supervision of Paul Melvin at Bryn Mawr College. During the 2009-2010 academic year, I was a program associate at MSRI and an exchange scholar at UC Berkeley. During Spring 2013, I split my time between Columbia and the Simons Center.

Here is my CV.

Research

I study low-dimensional topology, in particular knot theory, concordance and Heegaard Floer homology. My preprints and papers are available on the arXiv.

A talk I gave in August 2012 was blogged about on the Electric Handle Slide, a graduate student blog focusing on symplectic and low-dimensional topology.

In March 2013, Tye Lidman and I co-organized an AMS special session, which included a discussion of open problems. A list of these problems is available here.

Teaching

Courses

Fall 2014: Math V1201: Calculus III
Spring 2014: Math W4053: Intro to Algebraic Topology
Fall 2013: Math V2000: Intro to Higher Math & Math V1201: Calculus III
Fall 2012: Math V1201: Calculus III
Fall 2011: Math V1201: Calculus III

Undergraduate Research

Summmer 2014: REU on Left-orderable Groups and Knot Surgery (video)
Summer 2013: REU on Heegaard Floer Homology and the Fundamental Group (paper by F. Doria Medina, M. Jackson, J. Ruales, and H. Zeilberger, video)
Summer 2012: REU on Knot Floer Homology and Concordance (paper by J. Tobin)
Summer 2011: REU on Knot Floer Homology: Properties and Computations (paper by S. Hancock, J. Hom, and M. Newman, arXiv version)

Email:
hom [at] math.columbia.edu
Office:
613 Math