John pardon

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John V. Pardon (born June 1989 in Chapel Hill, North Carolina) is an American mathematician who studies geometry and low-dimensional topology .

John Pardon is the son of Duke University math professor William Pardon . His mathematical talent was already noticed as a schoolboy, he won gold medals several times at the international computer science Olympiads and was second in the Intel Science Talent Search in 2007 , with a thesis in which he solved the Carpenter's Rule problem , which was originally formulated for polygons and was solved by Robert Connelly and others, extended to rectifiable curves: Every rectifiable Jordan curve can be converted into a convex curve without increasing its length or reducing the distance between any two points. When he graduated in 2011, he was a Valedictorian at Princeton. He then studied mathematics at Princeton University , where he received the Morgan Prize in 2012 for best work by an undergraduate . He proved a conjecture of the knot theory of Michail Leonidowitsch Gromow , who in 1983 assumed that when a knot is embedded in three-dimensional space, the stretch factor is limited. Pardon refuted this by showing that the stretching factor in torus knots can be arbitrarily large. In 2015 he received his doctorate with Jakow Eliaschberg at Stanford University and was then Assistant Professor there. Since autumn 2016 he has been a full professor at Princeton University.

In 2013 he proved the three-dimensional case of the conjecture by Hilbert and Smith : Every locally compact group with a true group effect on connected 3-manifolds is a Lie group .

From 2015 he was a Clay Research Fellow. For 2017 he was awarded the Alan T. Waterman Award . He is a fellow of the American Mathematical Society .

At Princeton, he also won prizes for playing the cello and a debating competition in Chinese.

Web links

Individual evidence

  1. ↑ Pardon: On the unfolding of simple closed curves Transactions of the American Mathematical Society, Volume 361, 2009, pp. 1749-1764
  2. ^ Pardon, On the distortion of knots on embedded surfaces, Annals of Mathematics, Volume 174, 2011, pp. 637-646
  3. ^ Pardon, The Hilbert-Smith conjecture for three-manifolds, Journal of the American Mathematical Society, Volume 26, 2013, pp. 879-899, online
personal data
SURNAME Sorry, John
ALTERNATIVE NAMES Pardon, John V.
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH June 1989
PLACE OF BIRTH Chapel Hill, North Carolina