John Pardon

John Vincent Pardon (born June 1989, in Chapel Hill, North Carolina) is an American mathematician who works on geometry and topology.^[1] He is primarily known for having solved Gromov's problem on distortion of knots, for which he was awarded the 2012 Morgan Prize. He is currently an assistant professor at Stanford University.^[2]

Education and accomplishments

Pardon's father, William Pardon, is a mathematics professor at Duke University, and when Pardon was a high school student at the Durham Academy he also took classes at Duke.^[3] He was a three-time gold medalist at the International Olympiad in Informatics, in 2005, 2006, and 2007.^[4] in 2007, Pardon placed second in the Intel Science Talent Search competition, with a generalization to rectifiable curves of the carpenter's rule problem for polygons. In this project, he showed that every rectifiable Jordan curve in the plane can be continuously deformed into a convex curve without changing its length and without ever allowing any two points of the curve to get closer to each other.^[5] He published this research in the Transactions of the American Mathematical Society in 2009.

Pardon then went to Princeton University, where after his sophomore year he primarily took graduate-level mathematics classes.^[3] At Princeton, Pardon solved a problem in knot theory posed by Mikhail Gromov in 1983 about whether every knot can be embedded into three-dimensional space with bounded stretch factor. Pardon showed that, on the contrary, the stretch factor of certain torus knots could be arbitrarily large. His proof was published in the Annals of Mathematics in 2011, and earned him the Morgan Prize of 2012.^[3][6][7] Pardon also took part in a Chinese-language immersion program at Princeton, and was part of Princeton's team at an international debate competition in Singapore, broadcast on Chinese television. As a cello player he was a two-time winner of the Princeton Sinfonia concerto competition. He graduated in 2011, as Princeton's valedictorian.^[3]

He went to Stanford University for his graduate studies, where his accomplishments included solving the three-dimensional case of the Hilbert–Smith conjecture. He completed his Ph.D. in 2015, under the supervision of Yakov Eliashberg,^[8] and continued at Stanford as an assistant professor.^[2] In 2015, he was also appointed to a five-year term as a Clay Research Fellow.^[9]

Selected publications

• Pardon, John (2009), "On the unfolding of simple closed curves", Transactions of the American Mathematical Society 361 (4): 1749–1764, doi:10.1090/S0002-9947-08-04781-8, MR 2465815 .
• Pardon, John (2011), "On the distortion of knots on embedded surfaces", Annals of Mathematics, Second Series 174 (1): 637–646, doi:10.4007/annals.2011.174.1.21, MR 2811613 .
• Pardon, John (2011), "Central limit theorems for random polygons in an arbitrary convex set", Annals of Probability 39 (3): 881–903, doi:10.1214/10-AOP568, MR 2789578 .
• Pardon, John (2013), "The Hilbert–Smith conjecture for three-manifolds", Journal of the American Mathematical Society 26 (3): 879–899, doi:10.1090/S0894-0347-2013-00766-3, MR 3037790 .

References

External links

• Home page of John Pardon at Stanford
• 21 Questions With … John Pardon ’11, University Press Club, Princeton