Overview
My research mainly focuses on symplectic topology and low-dimensional topology. I am interested in studying structures in symplectic and contact geometry (Weinstein manifolds, contact manifolds, Legendrian and transverse knots), especially through holomorphic-curve techniques. One particular interest is extracting topological information about knots through cotangent bundles, and exploring relations to topological string theory. I have also worked in Heegaard Floer theory, quantum topology, and sheaf theory, especially as they relate to Legendrian and transverse knots.
Office Hours
Spring 2024:
- Wednesdays 4:00-5:00
- Thursdays 12:00-1:00
Current Appointments & Affiliations
Professor of Mathematics
·
2016 - Present
Mathematics,
Trinity College of Arts & Sciences
Education, Training & Certifications
Massachusetts Institute of Technology ·
2001
Ph.D.