Math @ Duke

Papers Published
 R Lipshitz, L Ng and S Sarkar, On transverse invariants from Khovanov homology,
Quantum Topology, vol. 6 no. 3
(2015),
pp. 475513, ISSN 1663487X [doi]
 T Ekholm and L Ng, Legendrian contact homology in the boundary of a subcritical weinstein 4Manifold,
Journal of Differential Geometry, vol. 101 no. 1
(2015),
pp. 67157, ISSN 0022040X [abs]
 L Ng, A topological introduction to knot contact homology,
in Contact and Symplectic Topology, edited by F. Bourgeois, V. Colin, and A. Stipsicz,
Bolyai Society Mathematical Studies, vol. 26
(2014),
pp. 485530, ISSN 12174696, ISBN 9783319020358 [arXiv:1210.4803], [doi]
 C Vafa, M Aganagic, T Ekholm and L Ng, Topological strings, Dmodel, and knot contact homology,
Advances in Theoretical and Mathematical Physics, vol. 18 no. 4
(2014),
pp. 827956, ISSN 10950761 [arXiv:1304.5778], [doi]
 L Ng and D Rutherford, Satellites of Legendrian knots and representations of the ChekanovEliashberg Algebra,
Algebraic and Geometric Topology, vol. 13 no. 5
(2013),
pp. 30473097, ISSN 14722747 [arXiv:1206.2259], [doi] [abs]
 T Ekholm, JB Etnyre, L Ng and MG Sullivan, Knot contact homology,
Geometry and Topology, vol. 17 no. 2
(2013),
pp. 9751112, ISSN 14653060 [arXiv:1109.1542], [doi] [abs]
 L Ng, On arc index and maximal ThurstonBennequin number,
Journal of Knot Theory and Its Ramifications, vol. 21 no. 4
(2012) [arXiv:math/0612356], [doi]
 T Ekholm, J Etnyre, L Ng and M Sullivan, Filtrations on the knot contact homology of transverse knots,
Mathematische Annalen, vol. 355 no. 4
(2013),
pp. 131, ISSN 00255831 [arXiv:1010.0450], [doi] [abs]
 J Etnyre, L Ng and V Vertesi, Legendrian and transverse twist knots,
Journal of the European Mathematical Society, vol. 15 no. 3
(2013),
pp. 451512 [arXiv:1002.2400], [doi]
 W Chongchitmate and L Ng, An atlas of Legendrian knots,
Experimental Mathematics, vol. 22 no. 1
(2013),
pp. 2637 [arXiv:1010.3997], [doi]
 L Ng, Combinatorial knot contact homology and transverse knots,
Advances in Mathematics, vol. 227 no. 6
(2011),
pp. 21892219, ISSN 00018708 [arXiv:1010.0451], [doi] [abs]
 L Ng, Rational symplectic field theory for Legendrian knots,
Inventiones Mathematicae, vol. 182 no. 3
(2010),
pp. 451512, ISSN 00209910 [arXiv:0806.4598], [doi] [abs]
 T Khandhawit and L Ng, A family of transversely nonsimple knots,
Algebraic and Geometric Topology, vol. 10 no. 1
(2010),
pp. 293314, ISSN 14722747 [arXiv:0806.1887], [doi] [abs]
 L. Ng and D. Thurston, Grid diagrams, braids, and contact geometry,
in Proceedings of Gökova GeometryTopology Conference 2008
(2009),
pp. 120136 (refereed proceedings.) [arXiv:0812.3665]
 L Ng, P Ozsvath and D Thurston, Transverse knots distinguished by knot Floer homology,
Journal of Symplectic Geometry, vol. 6 no. 4
(2008),
pp. 461490 [math.GT/0703446]
 NG Lenhard, A skein approach to bennequintype inequalities,
International Mathematics Research Notices, vol. 2008 no. 1
(2008), ISSN 10737928 (Art. ID rnn116, 18 pp.) [0709.2141], [doi] [abs]
 L Ng, Framed knot contact homology,
Duke Mathematical Journal, vol. 141 no. 2
(2008),
pp. 365406, ISSN 00127094 [math.GT/0407071], [doi] [abs]
 L. Ng, Conormal bundles, contact homology, and knot invariants,
in The interaction of finite type and Gromov–Witten invariants at the Banff International Research Station (2003), Geometry & Topology Monographs, vol. 8
(2006),
pp. 129144 [math.GT/0412330], [doi]
 L. Ng, Plane curves and contact geometry,
in Proceedings of 12th Gokova Geometry–Topology Conference
(2006),
pp. 162171 [math.GT/0503162]
 MC Muratori, JC Stanley, L Ng, J Ng, MUM Gross, T Tao and B Tao, Insights from SMPY's greatest former child prodigies: Drs. Terence ("Terry") Tao and Lenhard ("Lenny") Ng reflect on their talent development,
Gifted Child Quarterly, vol. 50 no. 4
(2006),
pp. 307324, ISSN 00169862 [abs]
 LL NG and JM Sabloff, The correspondence between augmentations and rulings for legendrian knots,
Pacific Journal of Mathematics, vol. 224 no. 1
(2006),
pp. 141150, ISSN 00308730 [math.SG/0503168], [doi] [abs]
 L Ng, A Legendrian Thurston–Bennequin bound from Khovanov homology,
Algebraic & Geometric Topology, vol. 5
(2005),
pp. 16371653 [math.GT/0508649], [doi]
 L Ng and L Traynor, Legendrian solidtorus links,
Journal of Symplectic Geometry, vol. 2 no. 3
(2005),
pp. 411443 [math.SG/0407068]
 L Ng, Knot and braid invariants from contact homology I,
Geometry and Topology, vol. 9
(2005),
pp. 247297, ISSN 14653060 [math.GT/0302099], [doi] [abs]
 NG Lenhard and S Gadgil, Knot and braid invariants from contact homology II,
Geometry and Topology, vol. 9
(2005),
pp. 16031637 [math.GT/0303343], [doi] [abs]
 J. Etnyre and L. Ng, Problems in low dimensional contact geometry,
in Topology and Geometry of Manifolds, Proc. Sympos. Pure Math., vol. 71
(2003),
pp. 337–357
 LL Ng, Computable Legendrian invariants,
Topology, vol. 42 no. 1
(2003),
pp. 5582 [math.GT/0011265], [doi] [abs]
 L Ng, J Etnyre and J Sabloff, Invariants of Legendrian links and coherent orientations,
J. Symplectic Geom., vol. 1 no. 2
(2002),
pp. 321367 [math.SG/0101145]
 L Ng, Maximal Thurston–Bennequin number of twobridge links,
Algebr. Geom. Topol., vol. 1
(2001),
pp. 427434 [math.GT/0008242], [doi]
 LL Ng, Hamiltonian Decomposition of Lexicographic Products of Digraphs,
Journal of Combinatorial Theory. Series B, vol. 73 no. 2
(1998),
pp. 119129 [doi] [abs]
 KS Kedlaya and LL Ng, The rook on the halfchessboard, or how not to diagonalize a matrix,
American Mathematical Monthly, vol. 105 no. 9
(1998),
pp. 819824
 L Ng and M Schultz, kOrdered Hamiltonian Graphs,
Journal of Graph Theory, vol. 24 no. 1
(1997),
pp. 4557 [doi] [abs]
 LL Ng, Hamiltonian decomposition of complete regular multipartite digraphs,
Discrete Mathematics, vol. 177 no. 13
(1997),
pp. 279285 [doi] [abs]
Papers Accepted
 C. Cornwell, L. Ng, and S. Sivek, Obstructions to Lagrangian concordance,
Algebraic & Geometric Topology
(2015) [arXiv:1411.1364]
 T. Ekholm and L. Ng, Legendrian contact homology in the boundary of a subcritical Weinstein 4manifold,
Journal of Differential Geometry
(2013) [arXiv:1307.8436]
 R. Lipshitz, L. Ng, and S. Sarkar, On transverse invariants from Khovanov homology,
Quantum Topology
(2013/03/26) [arXiv:1303.6371]
Papers Submitted
 L. Ng, D. Rutherford, V. Shende, S. Sivek, and E. Zaslow, Augmentations are sheaves
(2015) [arXiv:1502.04939]
 L. Ng, D. Rutherford, V. Shende, and S. Sivek, The cardinality of the augmentation category of a Legendrian link
(2015) [arXiv:1511.06724]
 C. Cornwell, L. Ng, and S. Sivek, Obstructions to Lagrangian concordance
(2014) [arXiv:1411.1364]


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

