Lenhard Lee Ng
- Eads Family Professor
- Professor of Mathematics
- Mondays 2:00-3:00
- Fridays 3:00-4:00
and by appointment.
Research Areas and Keywords
Geometry: Differential & Algebraic
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.
Ng, L, Ozsvath, P, and Thurston, D. "Transverse knots distinguished by knot Floer homology." Journal of Symplectic Geometry 6.4 (2008): 461-490. (Academic Article)
NG, LL, and Sabloff, JM. "The correspondence between augmentations and rulings for legendrian knots." Pacific Journal of Mathematics 224.1 (2006): 141-150. Full Text
Muratori, MC, Stanley, JC, Ng, L, Ng, J, Gross, MUM, Tao, T, and Tao, B. "Insights from SMPY's greatest former child prodigies: Drs. Terence ("Terry") Tao and Lenhard ("Lenny") Ng reflect on their talent development." Gifted Child Quarterly 50.4 (2006): 307-324.
Ng, L, and Traynor, L. "Legendrian solid-torus links." Journal of Symplectic Geometry 2.3 (2005): 411-443. (Academic Article)
Ng, L. "A Legendrian Thurston–Bennequin bound from Khovanov homology." Algebraic & Geometric Topology 5 (2005): 1637-1653. (Academic Article)
Lenhard, NG, and Gadgil, S. "Knot and braid invariants from contact homology II." Geometry and Topology 9 (2005).
Ng, L. "Knot and braid invariants from contact homology I." Geometry and Topology 9 (2005): 247-297. Full Text
Ng, L, Etnyre, J, and Sabloff, J. "Invariants of Legendrian links and coherent orientations." J. Symplectic Geom. 1.2 (2002): 321-367. (Academic Article)
Ng, L. "Maximal Thurston–Bennequin number of two-bridge links." Algebr. Geom. Topol. 1 (2001): 427-434. (Academic Article)