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Lenhard Lee Ng

Professor of Mathematics
Mathematics
216 Physics Building, Box 90320, Durham, NC 27708-0320
120 Science Drive, Durham, NC 27708

Selected Presentations & Appearances


Braid varieties from several perspectives - Colloquium · October 31, 2024 Invited Talk University of Minnesota
Legendrian links and Lagrangian cobordisms - Differential Geometry and Symplectic Geometry Seminar · October 31, 2024 Invited Talk University of Minnesota
New algebraic invariants of Legendrian links - Symplectic Zoominar (virtual) · May 24, 2024 Invited Talk
New algebraic invariants of Legendrian links - IAS/Princeton Symplectic Geometry Seminar · March 25, 2024 Invited Talk Institute of Advanced Study
Legendrian links and Lagrangian cobordisms - Topological interactions of contact and symplectic manifolds (special session), AMS spring southeastern sectional meeting · March 23, 2024 Invited Talk American Mathematical Society, Florida State
New algebraic invariants of Legendrian links - Geometry Topology Seminar · February 12, 2024 Invited Talk Georgia Tech
New algebraic invariants of Legendrian links - Symplectic Geometry, Low Dimensional Topology, and Quantum Fields · September 25, 2023 International Meeting or Conference Clay Mathematical Institute, Oxford
New algebraic structures for Legendrian links - Braids in Low-Dimensional Topology · April 25, 2022 International Meeting or Conference ICERM, Brown University
Infinitely many Lagrangian fillings - Algebraic Geometry and Differential Topology Seminar · April 23, 2021 Invited Talk Alfred Renyi Institute of Mathematics, Budapest, Hungary
Infinitely many fillings through augmentations - Legendrian knots and surfaces (virtual special session), AMS spring central sectional meeting · April 17, 2021 Invited Talk American Mathematical Society, University of Cincinnati
Infinitely many Lagrangian fillings - Australian Geometric Topology Webinar (virtual) · March 10, 2021 Invited Talk Australian National University, Canberra, Australia
Infinitely many fillings through augmentations - Legendrians, cluster algebras, and mirror symmetry (virtual conference) · January 11, 2021 International Meeting or Conference IBS Center for Geometry and Physics, POSTECH, Pohang, Korea
Infinitely many fillings through augmentations - Geometry and Topology Seminar · October 27, 2020 Invited Talk Michigan State University,
Infinitely many fillings through augmentations - Knots, strings, symplectic geometry and dualities · October 22, 2020 Invited Talk Institut Mittag-Leffler, Sweden
An update on knot invariants from conormals - Conference "Frontiers in Floer homology" · July 30, 2019 International Meeting or Conference Boston College,
Knot contact homology and colored HOMFLY recursion - Workshop "Mathematics and Physics of Knots" · June 24, 2019 International Meeting or Conference Institut Mittag-Leffler, Sweden
A contact Fukaya category - Geometry and Topology Seminar · April 22, 2019 Invited Talk MIT,
Augmentations and a contact Fukaya category - Mini-workshop on Legendrian submanifolds · November 10, 2018 International Meeting or Conference Université du Québec à Montréal,
A contact Fukaya category - Seminar in Topology and Symplectic Geometry · October 11, 2018 Invited Talk Stony Brook University,
Studying knots through the cotangent bundle and symplectic geometry - Colloquium · October 11, 2018 Invited Talk Stony Brook University,
A contact Fukaya category - Joint GT-UGA Topology Seminar · October 1, 2018 Invited Talk Georgia Tech,
Knot contact homology and colored HOMFLY recursion - Geometric methods in symplectic and contact topology · August 21, 2018 International Meeting or Conference Stanford University, Asilomar Conference Grounds
Conormals and knot invariants - Symplectic geometry and its interactions with low-dimensional topology mini-conference · June 28, 2018 International Meeting or Conference Princeton University,
Knot contact homology and colored HOMFLY-PT recursion - Categorification in Mathematical Physics conference · April 11, 2018 International Meeting or Conference Simons Center for Geometry and Physics, Stony Brook
Knot contact homology, string topology, and topological strings (minicourse) - Mirror Symmetry and Related Topics conference · January 29, 2018 - January 31, 2018 International Meeting or Conference University of Miami,

Three-lecture minicourse.

Recent developments in knot contact homology - Princeton/IAS Symplectic Geometry Seminar · December 11, 2017 Invited Talk Institute for Advanced Study, Princeton, NJ
The Legendrian conormal as a complete knot invariant - Symplectic geometry, gauge theory, and categorification seminar · October 27, 2017 Invited Talk Department of Mathematics, Columbia University
Legendrian contact homology and a variety of augmentations - Uppsala Summer Geometry School · August 14, 2017 - August 18, 2017 International Meeting or Conference Uppsala University, Sweden
Recent developments in knot contact homology - Conference "Holomorphic curves and symplectic topology" · August 10, 2017 Invited Talk Institut Mittag-Leffler, Sweden
How knots are captured by the symplectic geometry of the cotangent bundle - Colloquium · April 27, 2017 Invited Talk Department of Mathematics, UCLA
Studying knots through symplectic geometry and cotangent bundles - Colloquium · February 17, 2017 Invited Talk Department of Mathematics, Rutgers University
Workshop "Homological mirror symmetry: methods and structures" · November 7, 2016 Invited Talk Institute for Advanced Study,
Minicourse "Knot contact homology and augmentation varieties", William Rowan Hamilton Geometry and Topology Workshop · August 22, 2016 - August 23, 2016 Invited Talk Trinity College Dublin,
Conference "Knots in the Triangle" · May 1, 2016 Invited Talk NC State University,
Topology/Geometry Seminar · April 19, 2016 Invited Talk University of Oregon,
Colloquium · April 18, 2016 Invited Talk University of Oregon,
Conference "Interactions of Gauge Theory with Contact and Symplectic Topology in Dimensions 3 and 4" · March 23, 2016 Invited Talk Banff International Research Station,
Topology Seminar · February 25, 2016 Invited Talk Princeton University,
Symplectic geometry, gauge theory, and categorification seminar · February 19, 2016 Invited Talk Columbia University,
Workshop "Augmentations and Legendrians at the IAS" · February 11, 2016 Invited Talk Institute for Advanced Study,
Colloquium · January 21, 2016 Invited Talk University of California, San Diego,
Colloquium · January 21, 2016 Invited Talk University of Toronto,
Colloquium · December 3, 2015 Invited Talk Rice University,
Colloquium · November 30, 2015 Invited Talk University of Virginia,
Symplectic Geometry Seminar · October 29, 2015 Invited Talk Institut Mittag-Leffler, Sweden
Conference "Recent challenges in contact geometry" · June 9, 2015 - June 10, 2015 Lecture CIRM, Luminy, France
Conference "Physics and mathematics of knot homologies" · June 1, 2015 Lecture Simons Center for Geometry and Physics
Colloquium, Princeton University · December 10, 2014 Lecture
Conference "Quantum Curves and Quantum Knot Invariants" · June 19, 2014 Lecture Banff International Research Station
Geometry and Physics Seminar, Uppsala University · May 22, 2014 Lecture Uppsala University

Invited Lectures

Colloquium, Northwestern University · May 7, 2014 Lecture Northwestern University

Invited Lectures

Symplectic Geometry, Gauge Theory, and Categorification Seminar, Columbia University · May 2, 2014 Lecture Columbia University

Invited Lectures

Geometry and Topology Seminar, University at Buffalo · April 11, 2014 Lecture University at Buffalo

Invited Lectures

Geometry and Topology Seminar, MIT · November 18, 2013 Lecture MIT

Invited Lectures

Geometry, Topology, and Physics Seminar, UCSB · November 8, 2013 Lecture University of California, Santa Barbara

Invited Lectures

Colloquium, UCSB · November 7, 2013 Lecture University of California, Santa Barbara

Invited Lectures

AMS Special Session on Contact and Symplectic Topology · October 12, 2013 Lecture AMS Eastern Section Meeting, Temple University
Conference "Low-dimensional topology after Floer" · July 10, 2013 Lecture Centre de Recherches Mathématiques, Université de Montréal
Algebra and Topology Seminar, Australian National University · June 11, 2013 Lecture Australian National University

Invited Lectures

Colloquium, Australian National University · June 6, 2013 Lecture Australian National University

Invited Lectures

Conference "Low dimensional topology" · May 21, 2013 Lecture Simons Center for Geometry and Physics, Stony Brook
Southern California Topology Colloquium · March 30, 2013 Lecture California Institute of Technology
Conference "Interactions of gauge theory with contact and symplectic geometry in dimensions 3 and 4" · March 25, 2013 Lecture Banff International Research Station
Colloquium, University of Southern California · October 31, 2012 Lecture University of Southern California

Invited Lectures

Graduate Workshop on Symplectic and Contact Topology, Simons Center · October 18, 2012 Lecture Simons Center for Geometry and Physics, Stony Brook

Invited Lectures

Invited Address, AMS Southeastern Section Meeting · October 14, 2012 Lecture AMS Southeastern Section Meeting, Tulane University

Invited Lectures

Conference on Holomorphic Curves and Low Dimensional Topology · August 8, 2012 Lecture Stanford University
Minicourse, Contact and Symplectic Topology Summer School and Conference · July 1, 2012 Lecture Alfred Renyi Institute of Mathematics, Budapest
Tech Topology Conference · December 10, 2011 Lecture Georgia Institute of Technology
AMS Special Session on Low-Dimensional Topology and Geometry · September 24, 2011 Lecture Wake Forest University
Conference on Contact and Symplectic Topology · June 17, 2011 Lecture Université de Nantes
Seminar, Simons Center · May 9, 2011 Lecture Simons Center for Geometry and Physics, Stony Brook

Invited Lectures

Philadelphia Area Topology (Contact/Hyperbolic) Seminar · April 7, 2011 Lecture Haverford College
Conference "Interactions between contact & symplectic topology and gauge theory in dimensions 3 and 4" · March 23, 2011 Lecture Banff International Research Station
Geometric Topology Seminar, Columbia University · March 4, 2011 Lecture Columbia University

Invited Lectures

Geometry and Topology Seminar, MIT · February 7, 2011 Lecture M.I.T.

Invited Lectures

Topology Seminar, Princeton University · November 11, 2010 Lecture Princeton University

Invited Lectures

AMS Special Session on Topology and Symplectic Geometry · October 10, 2010 Lecture UCLA
Conference "O Gosto pela Matematica" · July 1, 2010 Lecture Lisbon, Portugal
Conference "Categorification and Low Dimensional Topology" · June 24, 2010 Lecture Stony Brook University
Conference "Knots, Contact Geometry and Floer Homology" · May 27, 2010 Lecture University of Tokyo
Academic Sponsors Day, Mathematical Sciences Research Institute · March 5, 2010 Lecture Berkeley
Minicourse, Introductory Workshop: Homology Theories of Knots and Links · January 1, 2010 Lecture Mathematical Sciences Research Institute
Introductory Workshop: Symplectic and Contact Geometry and Topology · August 18, 2009 Lecture Mathematical Sciences Research Institute
Minicourse, Summer Graduate Workshop: Symplectic and Contact Geometry and Topology · August 1, 2009 Lecture Mathematical Sciences Research Institute
Workshop on Mirror Symmetry, Symplectic Geometry, and Related Topics · June 26, 2009 Lecture Massachusetts Institute of Technology
Georgia International Topology Conference · May 29, 2009 Lecture University of Georgia
Topology Seminar, ETH Zurich · May 13, 2009 Lecture ETH Zurich

Invited Lectures

Symplectic Geometry Seminar, ETH Zurich · May 11, 2009 Lecture ETH Zurich

Invited Lectures

AMS Session on Low Dimensional Geometry and Topology · April 4, 2009 Lecture North Carolina State University
Conference "Interactions of Geometry and Topology in Dimensions 3 and 4" · March 25, 2009 Lecture Banff International Research Station
Illinois/Indiana Symplectic Geometry Conference · March 14, 2009 Lecture University of Illinois at Urbana-Champaign
AMS Special Session on Categorification and Link Homology · January 6, 2009 Lecture Joint Mathematics Meetings, Washington, DC
Symplectic Geometry Seminar, MIT · December 1, 2008 Lecture MIT

Invited Lectures

Math Institutes Modern Mathematics Workshop · October 1, 2008 Lecture Annual conference, Society for Advancement of Chicanos and Native Americans in Science, Salt Lake City
Symplectic Geometry Seminar, Stanford University · October 1, 2008 Lecture Stanford University

Invited Lectures

Conference "Legendrian and Transverse Knots" · September 1, 2008 Lecture American Institute of Mathematics
Minicourse, Conference "Holomorphic curves: Algebraic structures and geometric application" · August 1, 2008 Lecture Stanford University
Gokova Geometry/Topology Conference · May 1, 2008 Lecture Gokova, Turkey
Colloquium, Dartmouth College · May 1, 2008 Lecture Dartmouth College

Invited Lectures

Conference "Knots in Washington XXVI" · April 1, 2008 Lecture George Washington University

Service to the Profession


Organizer - Frontiers in Geometry and Topology, Summer School and Research Conference · August 1, 2022 - August 12, 2022 Event/Organization Administration ICTP, Trieste, Italy
Member, Scientific Board · 2021 - 2023 Committee Service American Institute of Mathematics,
Organizer - Trends in Low-Dimensional Topology · 2020 - 2021 Event/Organization Administration

Virtual research seminar intended especially for early career researchers in low-dimensional topology at universities worldwide.

Co-organizer - Fourth Duke Mathematical Journal conference · April 2018 Event/Organization Administration Mathematics Department, Duke University
Collaborating editor - American Mathematical Monthly problems section · 2017 - 2024 Editorial Activities Mathematical Association of America,
Special session organizer, "Low dimensional topology" · November 12, 2016 - November 13, 2016 Event/Organization Administration American Mathematical Society Southeastern Section meeting,
Organizer - Triangle Topology Seminar · 2016 - 2024 Event/Organization Administration
Conference organizer - Symplectic Geometry and Topology · September 21, 2015 - September 25, 2015 Event/Organization Administration Uppsala University, Uppsala, Sweden
Program organizer - Symplectic Geometry and Topology · September 2015 - December 2015 Event/Organization Administration Institut Mittag-Leffler,
Organizer, Duke/UNC Topology Seminar · 2013 - 2014 Event/Organization Administration

Math Community Services ; In January 2013, I founded the joint Duke/UNC Topology Seminar along with Robert Lipshitz (UNC), and I have co-organized the seminar since then. We hosted 9 talks in spring 2013 and 9 talks in fall 2013. In fall 2013, we also initiated a series of pre-talks in conjunction with the seminar, aimed at introductory graduate students.

Organizer : 27th Annual Geometry Festival · April 27, 2012 - April 29, 2012 Event/Organization Administration Duke University
Organizer, workshop "Cyclic homology and symplectic topology" · November 2009 Event/Organization Administration American Institute of Mathematics
Organizer, workshop "Algebraic structures in the theory of holomorphic curves" · November 2009 Event/Organization Administration Mathematical Sciences Research Institute
Editor, Quantum Topology · 2009 - 2024 Editorial Activities
MAA Subcommittee for the United States Mathematical Olympiad · 2008 - 2014 Other

Service to Duke


Co-director . Math+ · 2023 - 2024 Professional Development Mathematics Department, Duke University
Deans' Summer Research Fellowship selection committee (University) · 2021 Committee Service Trinity College, Duke University,
Bass Society Executive Committee (Other) · 2019 - 2020 Committee Service Bass Society of Fellows, Duke University
Director of Undergraduate Research and Prizes · 2019 - 2025 Other Duke Mathematics Department,
Vice Provost for Undergraduate Education search committee (University) · 2018 - 2018 Committee Service Duke University,
Arts & Sciences Research Grants Committee (University) · 2017 - 2019 Committee Service Duke University,
Provost's Advisory Committee on Bass Professorships (University) · 2017 - 2021 Committee Service Duke University,
Co-director . Duke Opportunities in Mathematics (DOmath) · 2017 - 2022 Professional Development Mathematics Department, Duke University,