Editing John Horton Conway (section)

===Geometric topology===
In knot theory, Conway formulated a new variation of the [[Alexander polynomial]] and produced a new invariant now called the Conway polynomial.<ref>{{Cite web |last=Weisstein |first=Eric W. |title=Conway Polynomial |url=https://mathworld.wolfram.com/ConwayPolynomial.html |access-date=2024-11-05 |website=mathworld.wolfram.com |language=en}}</ref> After lying dormant for more than a decade, this concept became central to work in the 1980s on the novel [[knot polynomial]]s.<ref>Livingston, Charles (1993) ''Knot Theory''. MAA Textbooks. {{ISBN|0883850273}}</ref> Conway further developed [[tangle theory]] and invented a system of notation for tabulating knots, now known as [[Conway notation (knot theory)|Conway notation]], while correcting a number of errors in the 19th-century knot tables and extending them to include all but four of the non-alternating primes with 11 crossings.<ref>{{cite journal|journal=Topology Proceedings |volume=7 |year=1982|pages= 109–118|author=Perko, Ken |url=http://topology.nipissingu.ca/tp/reprints/v07/tp07110.pdf|title=Primality of certain knots}}</ref> The [[Conway knot]] is named after him.

Conway's conjecture that, in any [[thrackle]], the number of edges is at most equal to the number of vertices, is still open.