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, LL. "Hamiltonian Decomposition of Lexicographic Products of Digraphs." Journal of Combinatorial Theory. Series B 73.2 (1998): 119-129. Full Text

Kedlaya, KS, and Ng, LL. "The rook on the half-chessboard, or how not to diagonalize a matrix." American Mathematical Monthly 105.9 (1998): 819-824.

Ng, LL. "Hamiltonian decomposition of complete regular multipartite digraphs." Discrete Mathematics 177.1-3 (1997): 279-285.

Ng, L, and Schultz, M. "k-Ordered Hamiltonian Graphs." Journal of Graph Theory 24.1 (1997): 45-57.

Ng, L. "Plane curves and contact geometry." Proceedings of G\~A{\P}kova Geometry-Topology Conference 2005 (2006), 165-174.

Ng, LL. "The Legendrian satellite construction." Appears as part of"Legendrian solid-torus links", J. Symplectic Geom. 2 (2005), No. 3, 411-443.

Ng, L, and Thurston, D. "Grid Diagrams, Braids, and Contact Geometry." Proceedings of Gokova Geometry-Topology Conference 2008, 120--136.

Ng, L, Rutherford, D, Shende, V, Sivek, S, and Zaslow, E. "Augmentations are Sheaves (Submitted)." Open Access Copy