Nicholas Shepherd-Barron

Nicholas Ian Shepherd-Barron, FRS (born 17 March 1955), is a British mathematician working in algebraic geometry. He has been, since 2013, professor of mathematics at King's College London,[2] having moved there from his previous position at the University of Cambridge. He is a fellow of Trinity College, Cambridge.[1][3]

Nicholas Shepherd-Barron
Born
Nicholas Ian Shepherd-Barron

(1955-03-17) March 17, 1955
Scientific career
InstitutionsUniversity of Cambridge, King's College London
ThesisSome Questions on Singularities in Two and Three Dimensions (1981)
Doctoral advisorMiles Reid[1]
Websitewww.dpmms.cam.ac.uk/~nisb/

Education

Shepherd-Barron was a scholar of Winchester College. He obtained his B.A. at Jesus College, Cambridge in 1976, and studied for a Ph.D. at the University of Warwick under the supervision of Miles Reid, graduating in 1981.[1][4]

Career and research

Shepherd-Barron works in various aspects of algebraic geometry, such as: singularities in the minimal model program; compactification of moduli spaces; the rationality of orbit spaces, including the moduli spaces of curves of genus 4 and 6; the geography of algebraic surfaces in positive characteristic, including a proof of Raynaud's conjecture; canonical models[lower-alpha 1] of moduli spaces of abelian varieties; the Schottky problem at the boundary; the relation between algebraic groups and del Pezzo surfaces; the period map for elliptic surfaces.

In 2008, with the number theorists Michael Harris and Richard Taylor, he proved the original version of the Sato–Tate conjecture and its generalization to totally real fields, under mild assumptions.[5]

Awards and honors

Shepherd-Barron was elected Fellow of the Royal Society in 2006.

Personal life

He is the son of John Shepherd-Barron, a Scottish inventor, who was responsible for inventing the first cash machine in 1967.[6]

Notes
  1. in the sense of birational geometry, not that of Shimura varieties

References
  1. Nicholas Shepherd-Barron at the Mathematics Genealogy Project
  2. "Nicholas Shepherd-Barron - Research Portal, King's College, London".
  3. "Nicholas Shepherd-Barron home page". Archived from the original on 25 June 1998.
  4. "SHEPHERD-BARRON, Nicholas Ian". Who's Who. ukwhoswho.com. Vol. 2018 (online ed.). A & C Black, an imprint of Bloomsbury Publishing plc. (Subscription or UK public library membership required.) (subscription required)
  5. Harris, Michael; Shepherd-Barron, Nicholas; Taylor, Richard (2010), "A family of Calabi–Yau varieties and potential automorphy", Annals of Mathematics, 171 (2): 779–813, doi:10.4007/annals.2010.171.779, MR 2630056
  6. "Inventor of cash machine, John Shepherd-Barron, dies". BBC News. 19 May 2010. Retrieved 6 December 2021.


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