Richard Borcherds

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Richard Borcherds
Borcherds algebra
Awards
Scientific career
FieldsMathematics
Institutions
ThesisThe leech lattice and other lattices (1984)
Doctoral advisorJohn Horton Conway[1]
Doctoral studentsDaniel Allcock[1]
Websitemath.berkeley.edu/~reb

Richard Ewen Borcherds (/ˈbɔːrtʃərdz/; born 29 November 1959)[2] is a British[4] mathematician currently working in quantum field theory. He is known for his work in lattices, group theory, and infinite-dimensional algebras,[5][6] for which he was awarded the Fields Medal in 1998.

Early life

Borcherds was born in Cape Town, South Africa, but the family moved to Birmingham in the United Kingdom when he was six months old.[7]

Education

Borcherds was educated at King Edward's School, Birmingham, and Trinity College, Cambridge,[8] where he studied under John Horton Conway.[9]

Career

After receiving his doctorate in 1985, Borcherds has held various alternating positions at Cambridge and the

Royal Society University Research Fellow.[10][8] From 1996 he held a Royal Society Research Professorship at Cambridge before returning to Berkeley in 1999 as Professor of Mathematics.[8]

An interview with Simon Singh for The Guardian, in which Borcherds suggested he might have some traits associated with Asperger syndrome,[7] subsequently led to a chapter about him in a book on autism by Simon Baron-Cohen.[11][12] Baron-Cohen concluded that while Borcherds had many autistic traits, he did not merit a formal diagnosis of Asperger syndrome.[11]

Awards and honours

In 1992 Borcherds was one of the first recipients of the

William Timothy Gowers and Curtis T. McMullen.[9] The award cited him "for his contributions to algebra, the theory of automorphic forms, and mathematical physics, including the introduction of vertex algebras and Borcherds' Lie algebras, the proof of the Conway-Norton moonshine conjecture[14] and the discovery of a new class of automorphic infinite products." In 2012 he became a fellow of the American Mathematical Society,[15] and in 2014 he was elected to the National Academy of Sciences.[16]

References

  1. ^ a b Richard Borcherds at the Mathematics Genealogy Project
  2. ^ a b "BORCHERDS, Prof. Richard Ewen". Who's Who 2014, A & C Black, an imprint of Bloomsbury Publishing plc, 2014; online edn, Oxford University Press.(subscription required)
  3. ISSN 1431-0635
    ..
  4. ^ "Richard Borcherds".
  5. ^ James Lepowsky, "The Work of Richard Borcherds", Notices of the American Mathematical Society, Volume 46, Number 1 (January 1999).
  6. ^ Borcherds, Richard E. (1998). "What is moonshine?". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. I. pp. 607–616.
  7. ^ a b Simon Singh, "Interview with Richard Borcherds", The Guardian (28 August 1998)
  8. ^ a b c "UC Berkeley professor wins highest honor in mathematics, the prestigious Fields Medal". University of California, Berkeley. 19 August 1998. Retrieved 22 July 2009.
  9. ^ a b c Jackson, Allyn (November 1998). "Borcherds, Gowers, Kontsevich, and McMullen Receive Fields Medals" (PDF). Notices of the American Mathematical Society. 45 (10). American Mathematical Society.
  10. S2CID 58095147
    .
  11. ^
    ISBN 0-465-00556-X
    . (see external links) records conversations with Richard Borcherds and his family.
  12. ^ High flying obsessives, The Guardian, December 2000
  13. ^ "EC/1994/05: Borcherds, Richard Ewen". London: The Royal Society. Archived from the original on 8 July 2019.
  14. S2CID 16145482
    .
  15. ^ List of Fellows of the American Mathematical Society. Retrieved 10 November 2012.
  16. ^ National Academy of Sciences Members and Foreign Associates Elected Archived 18 August 2015 at the Wayback Machine, National Academy of Sciences, 29 April 2014.

Further reading

External links

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