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 April 2022).

## 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 and accompanying lecture notes are available on the arXiv. Matt Hedden has compiled some resources for learning Heegaard Floer homology here.

## Teaching

#### Courses

- Fall 2021: Math 2106: Foundations of Mathematical Proof
- Spring 2021: Math 2106: Foundations of Mathematical Proof
- Fall 2020:Math 2106: Foundations of Mathematical Proof
- 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

#### 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

- 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.
- 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)