# Lenhard Lee 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:**

Fall 2018:

- Mondays 2:00-3:00
- Wednesdays 3:00-4:00

and by appointment.

### Research Areas and Keywords

##### Geometry: Differential & Algebraic

##### Mathematical Physics

##### Topology

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.

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

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

Ekholm, T, and Ng, L. "Higher genus knot contact homology and recursion for colored HOMFLY-PT polynomials."

Chantraine, B, Ng, L, and Sivek, S. "Representations, sheaves, and Legendrian $(2,m)$ torus links.".

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*.