Background
His father, Jack Ng, is a professor of Physics at University of North Carolina Chapel Hill.
His father, Jack Ng, is a professor of Physics at University of North Carolina Chapel Hill.
Lenhard earned his Bachelor of Arts (Summa Cum Laude) in Mathematics and Physics at Harvard University and his Doctor of Philosophy in Mathematics at the Massachusetts Institute of Technology in 2001.
Ng is an associate professor of mathematics at Duke University. Ng was a child prodigy who was once thought to be the "smartest kid in America". At the age of 11, he earned a perfect score on the College Board Test of Standard Written English.
He earned a perfect score on the American High School Mathematics Examination in all 4 years of high school at Chapel Hill High School (Chapel Hill, North Carolina).
He attended the Johns Hopkins Center for Talented Youth and was one of the gifted children included in the Study of Mathematically Precocious Youth longitudinal cohort. He was estimated to be top one in approximately one million of his age-mates.
At the age of 12, he began taking courses (on a part-time basis) at the University of North Carolina, Chapel Hill. At the age of 14, he participated in the International Mathematical Olympiad and earned a Silver medal.
He participated in this competition for the next two years and earned Gold medals.
He entered college (Harvard University) full-time at the age of 16 and majored in Mathematics and Physics, graduating summa cum laude in three years. Ng works in contact and symplectic geometry. His Doctor of Philosophy thesis and several other papers concern Legendrian knots, and his best-known work applies symplectic field theory to derive invariants of (topological) knots.
Relative contact homology produces symplectic invariants of this pair, which give topological invariants of the knot.
Ng computed the linearized contact homology in this case, providing an entirely combinatorial model for it which is a powerful knot invariant.