I’m an Associate Professor of Mathematics at Louisiana State University. Before arriving at LSU, I was a NSF Postdoctoral Fellow at Columbia University and a Ph.D. student at the University of Pennsylvania. I received my doctorate back in 2009 under the supervision of John Etnyre and Herman Gluck.
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 semester, I am teaching a second-semester graduate topology course and co-teaching a year-long Vertically Integrated Research (VIR) course.
Virtual Low-Dimensional Topology: Check out the latest virtual seminars and other activities in low-dimensional topology here.
〈Sci|State〉: 〈Sci|State〉 is Scott Baldridge’s and my attempt to create a space where world-class scientists can discuss their latest research. We’ll be keeping the discussion at the general interest level. We’ll be posting content accessible to students, teachers and researchers alike. Please take a look and, if you like what you see, Like our Facebook page and Subscribe to our YouTube channel.
My Postdoctoral Mentees:
– C.-M. Mike Wong
My Current Graduate Students:
– Ryan Leigon (co-advisor with Scott Baldridge)
– Rima Chatterjee
– Sudipta Ghosh (co-advisor with Scott Baldridge)
– Robert Quarles (co-advisor with Oliver Dasbach)
– Justin Murray
My Past Graduate Students
– Federico Salmoiraghi, Ph.D. Louisiana State University, 2019.
• Thesis: Equivalence of contact gluing maps in sutured Floer homology
• Currently a Postdoctoral Fellow at Technion