Lenhard L. Ng, Eads Family Professor
My research mainly focuses on symplectic topology and lowdimensional topology. I am interested in studying structures in symplectic and contact geometry (Weinstein manifolds, contact manifolds, Legendrian and transverse knots), especially through holomorphiccurve 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.  Contact Info:
Office Location:  216 Physics Bldg, 120 Science Drive, Durham, NC 27708  Office Phone:  (919) 6606972  Email Address:   Web Page:  http://www.math.duke.edu/~ng/  Teaching (Fall 2019):
 MATH 611.01, ALGEBRAIC TOPOLOGY I
Synopsis
 Physics 119, MW 04:40 PM05:55 PM
Teaching (Spring 2020):
 MATH 112L.01L, LABORATORY CALCULUS II
Synopsis
 Gross Hall 103, Th 11:45 AM01:00 PM
 MATH 112L.02L, LABORATORY CALCULUS II
Synopsis
 Gross Hall 103, Th 11:45 AM01:00 PM
 MATH 112L.03L, LABORATORY CALCULUS II
Synopsis
 Gross Hall 103, Th 11:45 AM01:00 PM
 MATH 411.01, TOPOLOGY
Synopsis
 Physics 119, TuTh 08:30 AM09:45 AM
 MATH 711.01, TOPOLOGY
Synopsis
 Physics 119, TuTh 08:30 AM09:45 AM
 Office Hours:
 Fall 2019:
 Mondays 2:003:00
 Tuesdays 10:3011:30
and by appointment.
 Education:
Ph.D.  Massachusetts Institute of Technology  2001 
AB  Harvard University  1996 
 Specialties:

Geometry
Topology
 Research Interests: Symplectic geometry, Low dimensional topology, Contact geometry, Knot theory, Holomorphic curves
 Keywords:
Contact geometry • Holomorphic curves • Knot theory • Low dimensional topology • Symplectic and contact topology • Symplectic geometry • Threemanifolds (Topology) • Topology
 Curriculum Vitae
 Current Ph.D. Students
(Former Students)
 Postdocs Mentored
 Christopher Cornwell (2011  2014)
 Daniel Rutherford (2008  2011)
 Undergraduate Research Supervised
 Alexandru Milu (2014  2015)
 Alexandru Milu (May 12, 2014  June 27, 2014)
 Wutichai Chongchitmate (2009  2010)
 Tirasan Khandhawit (2007  2008)
 Recent Publications
(More Publications)
 Ekholm, T; Ng, L; Shende, V, A complete knot invariant from contact homology,
Inventiones Mathematicae, vol. 211 no. 3
(March, 2018),
pp. 11491200, Springer Nature [doi] [abs]
 Cieliebak, K; Ekholm, T; Latschev, J; Ng, L, Knot contact homology, string topology, and the cord algebra,
Journal De L'Ecole Polytechnique Mathematiques, vol. 4
(January, 2017),
pp. 661780, Cellule MathDoc/CEDRAM [doi] [abs]
 Ng, L; Rutherford, D; Shende, V; Sivek, S, The cardinality of the augmentation category of a Legendrian link,
Mathematical Research Letters, vol. 24 no. 6
(2017),
pp. 18451874, International Press of Boston [doi]
 Cornwell, C; Ng, L; Sivek, S, Obstructions to Lagrangian concordance,
Algebraic & Geometric Topology, vol. 16 no. 2
(April, 2016),
pp. 797824, Mathematical Sciences Publishers [arXiv:1411.1364], [doi]
 Ekholm, T; Ng, L, Legendrian contact homology in the boundary of a subcritical weinstein 4Manifold,
Journal of Differential Geometry, vol. 101 no. 1
(September, 2015),
pp. 67157, International Press of Boston, ISSN 0022040X [doi] [abs]
 Recent Grant Support
 Holomorphic Invariants in Symplectic Topology, National Science Foundation, DMS1707652, 2017/092020/08.
 Holomorphic Invariants in Symplectic Topology, National Science Foundation, DMS1707652, 2017/092020/08.
 Knots and contact topology through holomorphic curves, National Science Foundation, DMS1406371, 2014/092018/08.
 Knots and contact topology through holomorphic curves, National Science Foundation, DMS1406371, 2014/092018/08.
 Conferences Organized
 Organizer : 27th Annual Geometry Festival. April 27, 2012  April 29, 2012, Organizer : 27th Annual Geometry Festival, April 27, 2012  April 29, 2012
 Organizer, workshop "Cyclic homology and symplectic topology". November 2009, Organizer, workshop "Cyclic homology and symplectic topology", November, 2009
 Organizer, workshop "Algebraic structures in the theory of holomorphic curves". November 2009, Organizer, workshop "Algebraic structures in the theory of holomorphic curves", November, 2009
