Lenhard Lee Ng

Lenhard Ng
  • Eads Family Professor
  • Professor of Mathematics
External address: 216 Physics Bldg, 120 Science Drive, Durham, NC 27708
Internal office address: Box 90320, Durham, NC 27708-0320
Phone: (919) 660-6972
Office Hours: 

Spring 2018:

  • Mondays 2:00-3:00
  • Thursdays 11:00-12:00

and by appointment.

Research Areas and Keywords

Geometry: Differential & Algebraic
symplectic geometry, contact geometry
Mathematical Physics
topological string theory
low-dimensional topology, knot theory

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.

Education & Training
  • Ph.D., Massachusetts Institute of Technology 2001

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.

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, 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)

Ng, LL. "Computable Legendrian invariants." Topology 42.1 (2003): 55-82. 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)