My research focuses on using Heegaard Floer homology to answer questions in low-dimensional topology. My preprints and papers are listed in my CV and are available on the arXiv.

Notes, videos, and problem lists

In Summer 2019, I gave a 4 hour lecture series on Heegaard Floer homology at PCMI. Videos of the lectures are available on youtube and accompanying lecture notes are available on the arXiv. Matt Hedden has compiled some resources for learning Heegaard Floer homology here.

In Summer 2017, Robert Lipshitz, Danny Ruberman, and I co-organized a workshop in Oaxaca, Mexico, which included a discussion of open problems. A list of these problems is included in the final report, available here.

In Spring 2016, Matt Hedden, Kent Orr, Mark Powell, and I co-organized a workshop in Banff, Canada which included a discussion of open problems. A list of these problems is included in the final report, available here.

In March 2014, 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.

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.