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to derive invariants of (topological) 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 (a contact five-manifold). Relative contact homology produces symplectic invariants of this pair, which give
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and was a three-time fellow (in 1993, 1994, and 1995), 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 (the 5 others being
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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.
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Muratori, Michelle C. (2006), "Insights From SMPY's
Greatest Former Child Prodigies: Drs. Terence ("Terry") Tao and Lenhard ("Lenny") Ng Reflect on Their Talent Development",
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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
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Lenny Ng: AMS-MAA-SIAM Frank and
Brennie Morgan Prize for Outstanding Research in Mathematics by an Undergraduate Student (Honorable Mention)
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and earned a Silver medal. He participated in this competition for the next two years and earned Gold medals. He entered college (
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230:. He was not yet 13 when he won the Written Round of the MATHCOUNTS competition. At the age of 14, he participated in the
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Ng, Lenhard. Knot and braid invariants from contact homology II. Geom. Topol. 9 (2005), 1603–1637.
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455:"Up at Bat Softball Novice Lenny Ng is Taking His Best Swing at Becoming Tops in the Math World"
441:"Up at Bat Softball Novice Lenny Ng is Taking His Best Swing at Becoming Tops in the Math World"
273:, David Ash and John Tillinghast) in the history of the competition to have achieved this feat.
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Ng, Lenhard. Knot and braid invariants from contact homology I. Geom. Topol. 9 (2005), 247–297.
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longitudinal cohort. He was estimated to be 1 in approximately 30 million of his age-mates.
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At the age of 12, he began taking courses (on a part-time basis) at the
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Test of
Standard Written English. He earned a perfect score on the
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Massachusetts
Institute of Technology School of Science alumni
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Chapel Hill High School (Chapel Hill, North
Carolina) alumni
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Chapel Hill High School (Chapel Hill, North
Carolina)
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He was included in the 2019 class of fellows of the
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219:and was one of the gifted children included in the
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469:"International Mathematical Olympiad: Lenhard Ng"
643:International Mathematical Olympiad participants
254:William Lowell Putnam Mathematical Competition
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648:Fellows of the American Mathematical Society
314:and service to the mathematical community".
238:) full-time at the age of 16 and majored in
206:American High School Mathematics Examination
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228:University of North Carolina, Chapel Hill
221:Study of Mathematically Precocious Youth
162:University of North Carolina Chapel Hill
106:Mathematical Sciences Research Institute
494:"The Putnam Competition from 1938-2009"
331:"Vitae and Bibliography for Lenhard Ng"
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144:. Ng is a professor of mathematics at
179:Massachusetts Institute of Technology
50:Massachusetts Institute of Technology
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613:21st-century American mathematicians
608:20th-century American mathematicians
526:2019 Class of the Fellows of the AMS
579:International Mathematical Olympiad
252:in three years. He competed in the
232:International Mathematical Olympiad
603:American people of Chinese descent
289:, and his best-known work applies
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208:in all 4 years of high school at
184:He is married to Astrid Giugni.
173:in Mathematics and Physics from
373:"Curriculum Vitæ: Yee Jack Ng"
1:
588:Mathematics Genealogy Project
570:Lenny Ng's Putnam Exam Record
531:American Mathematical Society
352:"Curriculum Vitæ: Lenhard Ng"
304:American Mathematical Society
158:American of Chinese descent
32:1976 (age 47–48)
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406:10.1177/001698620605000404
618:Harvard University alumni
217:Center for Talented Youth
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312:low-dimensional topology
281:Ng works in contact and
167:Lenhard earned his B.A.
152:Background and education
623:Duke University faculty
291:symplectic field theory
140:, working primarily on
75:Legendrian Submanifolds
394:Gifted Child Quarterly
306:"for contributions to
16:American mathematician
67:Differential Geometry
575:Lenhard Ng's results
560:Lenny Ng's home page
283:symplectic geometry
142:symplectic geometry
258:Harvard University
236:Harvard University
212:. He attended the
175:Harvard University
56:Harvard University
277:Mathematical work
156:Lenhard Ng is an
136:) is an American
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82:Scientific career
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354:. November 2010
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132:(born 1976,
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98:Institutions
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71:Gauge Theory
23:Lenhard L Ng
628:1976 births
298:Recognition
267:Noam Elkies
240:Mathematics
92:Mathematics
37:Nationality
597:Categories
584:Lenhard Ng
536:2018-11-07
510:2010-09-25
475:2008-10-10
378:2016-12-31
358:2011-04-13
337:2010-01-21
318:References
271:Don Zagier
130:Lenhard Ng
427:"Welcome"
414:145798062
256:while at
192:Ng was a
181:in 2001.
40:American
586:at the
244:Physics
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88:Fields
504:(PDF)
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410:S2CID
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.