Curriculum Vitae

Lenhard Ng

Duke University Mathematics Department
Box 90320
Durham, NC 27708-0320

(919) 660-6972 (office)

(email)

Education

PhD	MIT	2001
AB	Harvard University	1996

Areas of Research: Symplectic geometry, Low dimensional topology, Contact geometry, Knot theory, Holomorphic curves

Professional Experience / Employment History

Duke University: Assistant Professor, Department of Mathematics, August, 2006 - present

Stanford University: Lecturer, Department of Mathematics, 2002 - 2006

American Institute of Mathematics: Fellow, , 2001 - 2006

Institute for Advanced Study: Member, School of Mathematics, 2001 - 2002

Visiting Positions: Visiting Assistant Professor, Princeton University, January, 2007 - June, 2007; Visiting Scholar, Stanford University, 2002 - 2006

Awards, Honors, and Distinctions: Five Year Fellowship, American Institute of Mathematics, 2001-2006
AMS/MAA/SIAM Frank & Bonnie Morgan Prize for Undergraduate Research, 1996
National Defense Science and Engineering Graduate (NDSEG) Fellow, Department of Defense, 1996-1999
Putnam Fellow, William Lowell Putnam Mathematical Competition, 1993, 1994,1995
Gold Medal, International Mathematical Olympiad, 1992, 1993

Recent Grant Support

Holomorphic Curves and Low-Dimensional Topology, National Science Foundation, DMS-0706777, 2007/07-2010/06.

Professional Service: ARP committee, 2008 - present

Selected Recent Invited Talks: Gauge Theory and Topology Seminar, Harvard University, December, 2007; Geometry Seminar, MIT, November, 2007; Informal Symplectic Geometry Seminar, Columbia University, October, 2007; Conference "Towards Relative Symplectic Field Theory", CUNY, September, 2007; Conference "Communicating Mathematics", University of Minnesota at Duluth, July, 2007; Topology Seminar, University of Virginia, June, 2007; Conference "Interactions of Geometry and Topology in Low Dimensions", Banff International Research Station, March, 2007; Geometry/Topology Seminar, SUNY Stony Brook, March, 2007; Topology Seminar, Princeton University, March, 2007; Gauge Theory/Topology Seminar, Columbia University, February, 2007; Colloquium, University of North Carolina at Chapel HIll, November, 2006; Salomon Bochner Lectures in Mathematics, Rice University, October, 2006; Workshop on Symplectic Field Theory, Universitat Leipzig, August, 2006; Low Dimensional Topology, Research Program, Park City Mathematics Institute, July, 2006; Conference on 3-manifold Topology in honor of Peter Shalen, Universite de Montreal, June, 2006; Colloquium, University of California at Berkeley, February, 2006; Seminar, Duke University, February, 2006; Topology Seminar, University of Texas, February, 2006; Colloquium, University of Illinois at Urbana–Champaign, January, 2006; Colloquium, University of Illinois at Chicago, January, 2006; Colloquium, Rutgers University, January, 2006; Colloquium, University of Toronto, January, 2006; Differential Geometry Seminar, University of Illinois at Urbana–Champaign, December, 2005; Colloquium, University of Wisconsin, November, 2005; Geometry and Topology Seminar, University of Southern California, November, 2005; Algebra-Geometry-Topology Seminar, Georgia Institute of Technology, October, 2005; Topology and Geometry Seminar, University of Wisconsin, October, 2005; Workshop “Around Khovanov homology”, UQAM, October, 2005; Colloquium, Columbia University, September, 2005; Gauge theory/symplectic geometry seminar, Columbia University, September, 2005; Gokova Geometry/Topology Conference, Gokova, Turkey, June, 2005; Holomorphic Curves Workshop, Institute for Advanced Study, June, 2005; Topology seminar, University of California at Berkeley, February, 2005; Philadelphia Area Contact Topology seminar, Bryn Mawr College, January, 2005; Geometry/Topology Seminar, USC/Caltech, May, 2004; Northern California Symplectic Geometry Seminar, Stanford University, May, 2004; The Interaction of Finite Type and Gromov–Witten Invariants, Banff International Research Station, November, 2003; Gauge Theory and Topology seminar, Harvard University, October, 2003; Philadephia Area Contact Topology seminar, Haverford College, October, 2003; Holomorphic Curves in Contact Geometry, American Institute of Mathematics, August, 2003; Minicourse, Courbes Holomorphes et Topologie de Contact, Summer school sponsored by CNRS, Berder, France, June, 2003; Geometry-Topology Seminar, University of Pennsylvania, April, 2003; Session on contact and symplectic geometry, AMS Eastern Sectional Meeting, Courant Institute, April, 2003; Symplectic Geometry and Physics Workshop, Institute for Pure and Applied Mathematics, UCLA, March, 2003; Topology Seminar, Stanford University, February, 2003; Topology Seminar, University of California at Berkeley, February, 2003; Northern California Symplectic Geometry Seminar, Stanford University, December, 2002; Topology Seminar, Columbia University, April, 2002; Holomorphic Curves and Low Dimensional Topology, Institute for Advanced Study, March, 2002; Session on symplectic and contact topology, AMS Southeastern Sectional Meeting, Georgia Institute of Technology, March, 2002; Georgia International Topology Conference, University of Georgia, May, 2001; Topology Seminar, Princeton University, May, 2001; Special seminar, University of North Carolina, April, 2001; Conference, Stanford University/American Institute of Mathematics program in contact geometry, Stanford University, December, 2000; Gauge Theory and Topology seminar, Harvard University, December, 2000; Seminar, Stanford University/American Institute of Mathematics program in contact geometry, American Institute of Mathematics, October, 2000

Publications

Papers Published

L. Ng, Framed knot contact homology, Duke Math. J. (2007) (to appear.)
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), Geom. Topol. Monogr., vol. 8 (2006), pp. 129-144
L. Ng & J. Sabloff, The correspondence between augmentations and rulings for Legendrian knots, Pacific J. Math., vol. 224 no. 1 (2006), pp. 141-150
L. Ng, Plane curves and contact geometry, in Proceedings of 12th Gokova Geometry–Topology Conference (2006), pp. 162-171
L. Ng, A Legendrian Thurston–Bennequin bound from Khovanov homology, Algebr. Geom., vol. 5 (2005), pp. 1637-1653
L. Ng & L. Traynor, Legendrian solid-torus links, J. Symplectic Geom., vol. 2 no. 3 (2005), pp. 411-443
L. Ng, Knot and braid invariants from contact homology II, Geom. Topol., vol. 9 (2005), pp. 1603-1637
L. Ng, Knot and braid invariants from contact homology I, Geom. Topol., vol. 9 (2005), pp. 247-297
L. Ng & J. Etnyre, Problems in low dimensional contact geometry, in Topology and Geometry of Manifolds, Proc. Sympos. Pure Math., vol. 71 (2003), pp. 337–357
L. Ng, Computable Legendrian invariants, Topology, vol. 42 no. 1 (2003), pp. 55-82
L. Ng, J. Etnyre & J. Sabloff, Invariants of Legendrian links and coherent orientations, J. Symplectic Geom., vol. 1 no. 2 (2002), pp. 321–367
L. Ng, Maximal Thurston–Bennequin number of two-bridge links, Algebr. Geom. Topol., vol. 1 (2001), pp. 427-434
L. Ng & K. Kedlaya, The rook on the half-chessboard, or how not to diagonalize a matrix, Amer. Math. Monthly, vol. 105 no. 9 (1998), pp. 819–824
L. Ng, Hamiltonian decomposition of lexicographic products of digraphs, J. Combin. Theory Ser. B 73 no. 2 (1998), pp. 119–129
L. Ng, Hamiltonian decomposition of complete regular multipartite digraphs, Discrete Math., vol. 177 no. 1-3 (1997), pp. 279-285
L. Ng & M. Schultz, k-ordered hamiltonian graphs, J. Graph Theory, vol. 24 no. 1 (1997), pp. 45-57

Papers Submitted

L. Ng, On arc index and maximal Thurston-Bennequin number (2007)
L. Ng, P. Ozsvath, and D. Thurston, Transverse knots distinguished by knot Floer homology (2007)

Preprints

L. Ng, A skein approach to Bennequin type inequalities (2007)

Last modified: 2008/06/28