W. B. R. Lickorish


William Bernard Raymond Lickorish (born 19 February 1938) is a mathematician. He is emeritus professor of geometric topology in the Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, and also an emeritus fellow of Pembroke College, Cambridge. His research interests include topology and knot theory. He was one of the discoverers of the HOMFLY polynomial invariant of links, and proved the Lickorish-Wallace theorem which states that all closed orientable 3-manifolds can be obtained by Dehn surgery on a link.

W. B. R. Lickorish
W.B.R. Lickorish.jpeg
W. B. R. Lickorish in Berkeley in 1974
Born19 February 1938 (1938-02-19) (age 84)
Alma materUniversity of Cambridge
Known forTopology
AwardsChauvenet Prize (1991)
Senior Whitehead Prize (1991)
Scientific career
Doctoral advisorErik Christopher Zeeman
Doctoral studentsMarc Lackenby


Lickorish received his Ph.D from Cambridge in 1964; his thesis was written under the supervision of Christopher Zeeman.[1]

Recognition and awardsEdit

In 1991, Lickorish received the Senior Whitehead Prize from the London Mathematical Society.[2] He was included in the 2019 class of fellows of the American Mathematical Society "for contributions to knot theory and low-dimensional topology".[3]

Selected publicationsEdit

  • Lickorish, W. B. R. (November 1962). "A Representation of Orientable Combinatorial 3-Manifolds". Annals of Mathematics. 76 (3): 531–540. doi:10.2307/1970373. JSTOR 1970373.
  • Freyd, Peter; Yetter, David; Hoste, Jim; Lickorish, W.B.R.; Millett, Kenneth; Ocneanu, Adrian (1985). "A New Polynomial Invariant of Knots and Links". Bulletin of the American Mathematical Society. 12 (2): 239–246. doi:10.1090/S0273-0979-1985-15361-3.
  • Lickorish, W. B. R. (1997). An Introduction to Knot Theory. Graduate Texts in Mathematics 175. Springer. ISBN 0-387-98254-X.

See alsoEdit


  1. ^ W. B. R. Lickorish at the Mathematics Genealogy Project
  2. ^ London Mathematical Society. "List of Prizewinners". Retrieved 1 April 2015.
  3. ^ "2019 Class of the Fellows of the AMS". American Mathematical Society. Retrieved 7 November 2018.