Ng was a child prodigy who was once thought to be the "smartest kid in America". At age 10, he earned a perfect score of 800 on the math portion of what is now called the SAT-I, a feat considered to be a “remarkable achievement” when a high school junior or senior did it. He was the youngest person to have achieved this feat on his first try. 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. He attended the Johns HopkinsCenter 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 1 in approximately 30 million of his age-mates. At the age of 12, he began taking courses at the University of North Carolina, Chapel Hill. He was not yet 13 when he won the Written Round of the MATHCOUNTS competition. 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 full-time at the age of 16 and majored in Mathematics and Physics, graduating summa cum laude in three years. He competed in the William Lowell Putnam Mathematical Competition while at Harvard University and was a three-time fellow, one of only 18 people to have achieved this feat since 1938. The first time he became a Putnam Fellow was at the age of 16, making him one of only 6 people in the history of the competition to have achieved this feat.
Mathematical work
Ng works in contact and symplectic geometry. His Ph.D. thesis and several other papers concern Legendrian knots, and his best-known work applies symplectic field theory to derive invariants of knots. More precisely, the conormal bundle of a knot embedded in the three-sphere is a Legendrian torus inside the three-sphere's unit cosphere bundle. 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.
