A perfect score of 800 on the math portion of the SAT at age 10 marked Lenhard Ng as a statistical outlier among his peers. This early achievement, part of a record-setting youth in mathematics competitions, preceded a transition into academic research where he specializes in the intricacies of symplectic and contact geometry.
Formative Competition Years
Ng attended Chapel Hill High School in North Carolina, where he achieved perfect scores on the American High School Mathematics Examination for four consecutive years. His involvement with the Study of Mathematically Precocious Youth and the Johns Hopkins Center for Talented Youth provided an early structure for his development. By age 12, he enrolled in part-time coursework at the University of North Carolina, Chapel Hill, and shortly thereafter won the written round of the MATHCOUNTS competition. Between ages 14 and 16, he earned one silver and two gold medals at the International Mathematical Olympiad.
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At age 16, Ng enrolled full-time at Harvard University. He completed his Bachelor of Arts in mathematics and physics in three years, graduating summa cum laude. During this period, he earned status as a three-time fellow of the William Lowell Putnam Mathematical Competition in 1993, 1994, and 1995. He was one of only 18 people to achieve this distinction since 1938 and one of six to reach the rank at age 16. Following his undergraduate tenure, he completed his Ph.D. in mathematics at the Massachusetts Institute of Technology in 2001.
Academic Contributions
Currently a professor of mathematics at Duke University, Ng focuses his research on contact and symplectic geometry. His scholarly work frequently addresses Legendrian knots, notably applying symplectic field theory to establish invariants for topological knots. By computing the linearized contact homology of the conormal bundle of a knot embedded in a three-sphere, he developed a combinatorial model that serves as a tool for knot classification. His research papers include his work on knot and braid invariants from contact homology published in 2005.
Professional Recognition
In 2019, the American Mathematical Society elected Ng as a fellow. The organization cited his research contributions to Floer homology and low-dimensional topology, alongside his service to the broader mathematical community. He maintains a faculty position at Duke University, continuing the work that evolved from his early specialization in competitive mathematics into professional mathematical research.
Fast facts
- Born: 1976
- Undergraduate Institution: Harvard University
- Graduate Institution: Massachusetts Institute of Technology
- Current Employer: Duke University
- Field: Symplectic geometry
- Fellowship: American Mathematical Society (2019)
- Spouse: Astrid Giugni
- Father: Jack Ng
Questions readers ask
What is Lenhard Ng's academic specialty?
He works primarily in the fields of contact and symplectic geometry.
Did Ng attend university early?
Yes, he entered Harvard University full-time at age 16.
Achievements
- National talent-search recognition as a child
- Represented the U.S. at the International Mathematical Olympiad
- Putnam Fellow at Harvard
- Professor of mathematics at Duke University
