I'm an Assistant Professor of Mathematics at Louisiana State University, having joined the faculty in the Summer of 2012. Before that, I was a NSF Postdoctoral Fellow at Columbia University. I graduated with a Ph.D. in mathematics from the University of Pennsylvania back in May of 2009. While I was a graduate student, I worked under the supervision of John Etnyre and Herman Gluck. In case you're interested, feel free to take a look at my Curriculum Vitae and Research Statement.
Research: My research centers on questions in contact geometry, low-dimensional topology, knot theory and Riemannian geometry. My work addresses classification and structure problems for contact 3-manifolds as well as the Legendrian and transverse knots they contain. I am also interested in questions lying in the intersection between classical knot theory and Riemannian geometry. I study geometric invariants in magnetohydrodynamics and, specifically, higher-order analogues of helicity invariants of vector fields.
Teaching: This fall I am teaching a graduate-level introductory Topology course and a Complex Analysis. In 2012 I received the Chauvenet Prize for expository mathematical writing at the Joint Meetings. I was awarded the prize together with my coauthors Dennis DeTurck, Herman Gluck and Daniel Pomerleano for our article The Four Vertex Theorem and its Converse.