I am an Associate Professor at Georgia Tech. Previously, I was a Ritt Assistant Professor at Columbia University and a member of the IAS.

More details can be found in my CV (last updated August 2019).

Caitlin Leverson, Tye Lidman, and I co-organized the Southeastern Undergraduate Mathematics Workshop (aimed at undergraduate math majors) at Georgia Tech, August 5-9, 2019.

## 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 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.

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 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 Summer 2019, I gave a 4 hour lecture series on Heegaard Floer homology at PCMI. Videos of the lectures are available on youtube.

## Teaching

#### Courses

- Spring 2020: Math 4803: Knot Theory and Grid Homology
- Fall 2019: Math 2106: Foundations of Mathematical Proof
- Fall 2018: Math 4107: Abstract Algebra
- Fall 2017: Math 8803: Heegaard Floer homology
- Spring 2017: Math 6441: Algebraic Topology
- Fall 2016: Math 2550: Intro to Multivariable Calculus, course information on t-square

#### Past Courses at Columbia

- Spring 2015: Math W4053: Intro to Algebraic Topology
- 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 2017: Undergraduate research on left-orderable groups and knot surgery (preprint by S. Liang)
- Summmer 2014: REU on Left-orderable Groups and Knot Surgery (paper by K. Christianson, J. Goluboff, L. Hamann, and S. Varadaraj, arXiv version, video)
- Summer 2013: REU on Heegaard Floer Homology and the Fundamental Group (paper by F. Doria Medina, M. Jackson, J. Ruales, and H. Zeilberger, arXiv version, video, code)
- Summer 2012: REU on Knot Floer Homology and Concordance (paper by J. Tobin, arXiv version)
- Summer 2011: REU on Knot Floer Homology: Properties and Computations (paper by S. Hancock, J. Hom, and M. Newman, arXiv version)