Lenhard Lee Ng
- Professor of Mathematics
- Eads Family Professor
- Mondays 2:00-3:00
- Thursdays 11:00-12:00
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, and Rutherford, D. "Satellites of Legendrian knots and representations of the Chekanov-Eliashberg Algebra." Algebraic and Geometric Topology 13.5 (2013): 3047-3097. Full Text
Ekholm, T, Etnyre, J, Ng, L, and Sullivan, M. "Filtrations on the knot contact homology of transverse knots." Mathematische Annalen (2012): 1-31. Full Text
Ng, L. "On arc index and maximal Thurston-Bennequin number." Journal of Knot Theory and Its Ramifications 21.4 (2012).
Ng, L. "Combinatorial knot contact homology and transverse knots." Advances in Mathematics 227.6 (2011): 2189-2219. Full Text
Chongchitmate, W, and Ng, L. "An atlas of Legendrian knots (Accepted)." Experimental Mathematics (2011). (Academic Article)
Etnyre, J, Ng, L, and Vertesi, V. "Legendrian and transverse twist knots (Accepted)." Journal of the European Mathematical Society (2011). (Academic Article)
Ng, L. "Rational symplectic field theory for Legendrian knots." Inventiones Mathematicae 182.3 (2010): 451-512. Full Text
Lenhard, NG. "A skein approach to bennequin-type inequalities." International Mathematics Research Notices 2008.1 (2008). Full Text