Ralph Fox was an American topologist, well known for his contribution to knot theory, both at a research level and for popularising it in talks and articles.
He was the doctoral supervisor of John Milnor, John Stallings and Barry Mazur, amongst others.
On braid groups and configuration spaces of points:
Early discussion of knot concordance:
Introducing what came to be called the Fox derivative:
Ralph H. Fox, Free differential calculus I: Derivation in the free group ring, Annals Math. 57 3 (1953) 547-560 [doi:10.2307/1969736, jstor:1969736]
Ralph H. Fox, Free differential calculus II: The isomorphism problem of groups, Annals Math. 59 2 (1954) 196-210 [doi:10.2307/1969686, jstor:1969686]
Ralph H. Fox, Free differential calculus III: Subgroups, Annals Math. 64 3 (1956) 407-419 [doi:10.2307/1969592, jstor:1970044]
Kuo Tsai Chen, Ralph H. Fox, R. C. Lyndon, Free differential calculus IV: The quotient groups of the lower central series, Ann. Math. 68 1 (1958) 81-95 [doi:10.2307/1970044, jstor:1970044]
Ralph H. Fox, Free differential calculus V. The Alexander matrices re-examined, Ann. Math. 71 3 (1960) 408-422 [doi:10.2307/1969936, jstor:1969936]
On knot theory:
Last revised on July 24, 2024 at 19:29:53. See the history of this page for a list of all contributions to it.