W. B. R. Lickorish
W. B. R. Lickorish | |
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![]() Lickorish in 1974 | |
Born | 19 February 1938 (1938-02-19) (age 86) |
Nationality | British |
Alma mater | University of Cambridge |
Known for | Topology |
Awards | Chauvenet Prize (1991) Senior Whitehead Prize (1991) |
Scientific career | |
Fields | Mathematician |
Doctoral advisor | Erik Christopher Zeeman |
Doctoral students | Marc Lackenby |
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.
Education
Lickorish received his Ph.D from Cambridge in 1964; his thesis was written under the supervision of Christopher Zeeman.[1]
Recognition and awards
In 1991, Lickorish received the Senior Whitehead Prize from the London Mathematical Society.[2] Lickorish and Kenneth Millett won the 1991 Chauvenet Prize for their paper "The New Polynomial Invariants of Knots and Links".[3] Lickorish was included in the 2019 class of fellows of the American Mathematical Society "for contributions to knot theory and low-dimensional topology".[4]
Selected publications
- 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 also
References
- ^ W. B. R. Lickorish at the Mathematics Genealogy Project
- ^ London Mathematical Society. "List of Prizewinners". Retrieved 1 April 2015.
- ^ Lickorish, W. B. R.; Millett, K. C. (1988). "The New Polynomial Invariants of Knots and Links". Mathematics Magazine. 61 (1). Taylor & Francis: 3–23. doi:10.1080/0025570x.1988.11977338. ISSN 0025-570X.
- ^ "2019 Class of the Fellows of the AMS". American Mathematical Society. Retrieved 7 November 2018.
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- 1925 G. A. Bliss
- 1929 T. H. Hildebrandt
- 1932 G. H. Hardy
- 1935 Dunham Jackson
- 1938 G. T. Whyburn
- 1941 Saunders Mac Lane
- 1944 R. H. Cameron
- 1947 Paul Halmos
- 1950 Mark Kac
- 1953 E. J. McShane
- 1956 Richard H. Bruck
- 1960 Cornelius Lanczos
- 1963 Philip J. Davis
- 1964 Leon Henkin
- 1965 Jack K. Hale and Joseph P. LaSalle
- 1967 Guido Weiss
- 1968 Mark Kac
- 1970 Shiing-Shen Chern
- 1971 Norman Levinson
- 1972 François Trèves
- 1973 Carl D. Olds
- 1974 Peter D. Lax
- 1975 Martin Davis and Reuben Hersh
- 1976 Lawrence Zalcman
- 1977 W. Gilbert Strang
- 1978 Shreeram S. Abhyankar
- 1979 Neil J. A. Sloane
- 1980 Heinz Bauer
- 1981 Kenneth I. Gross
- 1982 No award given.
- 1983 No award given.
- 1984 R. Arthur Knoebel
- 1985 Carl Pomerance
- 1986 George Miel
- 1987 James H. Wilkinson
- 1988 Stephen Smale
- 1989 Jacob Korevaar
- 1990 David Allen Hoffman
- 1991 W. B. Raymond Lickorish and Kenneth C. Millett
- 1992 Steven G. Krantz
- 1993 David H. Bailey, Jonathan M. Borwein and Peter B. Borwein
- 1994 Barry Mazur
- 1995 Donald G. Saari
- 1996 Joan Birman
- 1997 Tom Hawkins
- 1998 Alan Edelman and Eric Kostlan
- 1999 Michael I. Rosen
- 2000 Don Zagier
- 2001 Carolyn S. Gordon and David L. Webb
- 2002 Ellen Gethner, Stan Wagon, and Brian Wick
- 2003 Thomas C. Hales
- 2004 Edward B. Burger
- 2005 John Stillwell
- 2006 Florian Pfender & Günter M. Ziegler
- 2007 Andrew J. Simoson
- 2008 Andrew Granville
- 2009 Harold P. Boas
- 2010 Brian J. McCartin
- 2011 Bjorn Poonen
- 2012 Dennis DeTurck, Herman Gluck, Daniel Pomerleano & David Shea Vela-Vick
- 2013 Robert Ghrist
- 2014 Ravi Vakil
- 2015 Dana Mackenzie
- 2016 Susan H. Marshall & Donald R. Smith
- 2017 Mark Schilling
- 2018 Daniel J. Velleman
- 2019 Tom Leinster
- 2020 Vladimir Pozdnyakov & J. Michael Steele
- 2021 Travis Kowalski
- 2022 William Dunham, Ezra Brown & Matthew Crawford
- 2023 Kimmo Eriksson & Jonas Eliasson
- 2024 Jeffrey Whitmer