Notes and videos
The following items are mainly expository and are in roughly increasing order of complexity:- I wrote an expository article on Lisa Piccirillo's proof that the Conway knot is not slice, and gave a talk based on the article.
- I gave a plenary talk on knot concordance and homology cobordism at the 2023 Graduate Student Conference in Algebra, Geometry, and Topology at Temple University.
- 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.
- I gave a 3.5 hour lecture series on Heegaard Floer homology and topology in dimensions 3.5 at ICTP. Videos: 1, 2, 3.
- I wrote a survey on Heegaard Floer homology and concordance.
- I spoke in the topology section of the 2022 ICM, and wrote an accompanying article.
Other resources
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.