https://indianpedia.org/index.php?action=history&feed=atom&title=Arul_ShankarArul Shankar - Revision history2026-07-31T01:13:00ZRevision history for this page on the wikiMediaWiki 1.45.4https://indianpedia.org/index.php?title=Arul_Shankar&diff=51383&oldid=prev>Simeon at 14:24, 5 April 20212021-04-05T14:24:49Z<p></p>
<p><b>New page</b></p><div>{{Short description|Indian mathematician}}<br />
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'''Arul Shankar''' is an [[India]]n mathematician at the [[University of Toronto]] specialising in [[number theory]]; more specifically, arithmetic statistics. He obtained his PhD from [[Princeton University]] in 2012 under [[Manjul Bhargava]].<ref>{{cite web|title=Arul Shankar|url=https://www.genealogy.math.ndsu.nodak.edu/id.php?id=170974|publisher=Mathematics Genealogy Project|accessdate=14 May 2017}}</ref> Shankar is known for his work, with [[Manjul Bhargava]], establishing unconditionally that the [[average rank of elliptic curves]] is bounded when ordered by naive height by <math>1.5</math> <ref>M. Bhargava and A. Shankar, Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves, Annals of Mathematics 181 (2015), 191–242 https://dx.doi.org/10.4007/annals.2015.181.1.3</ref> and <math> 1.17 </math> <ref>M. Bhargava and A. Shankar, Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0, Annals of Mathematics 181 (2015), 587–621 https://dx.doi.org/10.4007/annals.2015.181.2.4</ref> respectively.<br />
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In 2018 he was awarded a [[Sloan Research Fellowship]],<ref>{{cite web|title=2018 Sloan Research Fellows|url=https://sloan.org/fellowships/2018-Fellows|publisher=Alfred P. Sloan Foundation|accessdate=6 March 2018|archive-url=https://web.archive.org/web/20181101114428/https://sloan.org/fellowships/2018-Fellows|archive-date=1 November 2018|url-status=dead}}</ref> one of the most prestigious early career research fellowships available to mathematicians.<ref>{{cite web|title=The Culture of Research and Scholarship in Mathematics: Rates of Publication|url=http://www.ams.org/profession/leaders/culture/CultureStatement06.pdf|publisher = American Mathematical Society|accessdate=6 March 2018}}</ref><br />
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== References ==<br />
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==External links==<br />
* [https://www.univcan.ca/innovators/arul-shankar/ Arul Shankar]<br />
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[[Category:Indian number theorists]]<br />
[[Category:University of Toronto faculty]]<br />
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