Terry Lyons (mathematician)

Terence John Lyons FRSE FRS FLSW is a British mathematician, specialising in stochastic analysis. Lyons, previously the Wallis Professor of Mathematics, is a fellow of St Anne's College, Oxford and a Faculty Fellow at The Alan Turing Institute. He was the director of the Oxford-Man Institute from 2011 to 2015 and the president of the London Mathematical Society from 2013 to 2015.[4] His mathematical contributions have been to probability, harmonic analysis, the numerical analysis of stochastic differential equations, and quantitative finance. In particular he developed what is now known as the theory of rough paths.[5] Together with Patrick Kidger he proved a universal approximation theorem for neural networks of arbitrary depth.[6]

Terry Lyons

FRSE FLSW FRS
Lyons in 2008
Born
Terence John Lyons

(1953-05-04) 4 May 1953[1]
Alma mater
Awards
Scientific career
Institutions
ThesisSome problems in harmonic analysis and probabilistic potential theory[2] (1981)
Doctoral advisorRichard Haydon[3]
Websitewww.maths.ox.ac.uk/people/terry.lyons

Education

Lyons obtained his B.A. at Trinity College, Cambridge and his D.Phil at the University of Oxford.

Career

Lyons has held positions at UCLA, Imperial College London, the University of Edinburgh and since 2000 has been Wallis Professor of Mathematics at the University of Oxford.[7] He was the Director of the Oxford-Man Institute at the University of Oxford from 15 June 2011 to 15 December 2015. He also held a number of visiting positions in Europe and North America.

Together with Zhongmin Qian he wrote the monograph System Control and Rough Paths,[8] and together with Michael J. Caruana and Thierry Lévy the book Differential Equations Driven by Rough Paths.[9]

Honours and awards

In 1985 he was awarded the Rollo Davidson Prize. In 1986 he was awarded the Whitehead Prize of the London Mathematical Society. In 2000 he was awarded the Pólya Prize of the London Mathematical Society.

He was elected a fellow of the Royal Society of Edinburgh in 1988, and elected a Fellow of the Royal Society in 2002; he was made a fellow of the Institute of Mathematical Statistics,[10] in 2005 and a fellow of the Learned Society of Wales in 2011. In 2013, he was elected president of the London Mathematical Society.[4]

In 2007 he was awarded a Doctor Honoris Causa from the University of Toulouse, he was made an Honorary Fellow of Aberystwyth University in 2010 and Cardiff University in 2012. In 2017 he was awarded an honorary Doctor of Mathematics from the University of Waterloo.

References
  1. "Terence John LYONS". Debretts. Retrieved 23 January 2013.
  2. Terry Lyons at the Mathematics Genealogy Project
  3. Terry Lyons at the Mathematics Genealogy Project
  4. "List of Presidents of the London Mathematical Society" (PDF). London Mathematical Society. Retrieved 4 October 2018.
  5. Terry Lyons's publications indexed by the Scopus bibliographic database. (subscription required)
  6. Kidger, Patrick; Lyons, Terry (15 July 2020). "Universal Approximation with Deep Narrow Networks". Conference on Learning Theory. PMLR: 2306–2327. arXiv:1905.08539.
  7. "Terry Lyons to be LMS President" (PDF). maths.ox.ac.uk. Retrieved 26 September 2018.
  8. Lyons, Terry; Qian, Zhongmin (2002). System Control and Rough Paths. Oxford Mathematical Monographs. Oxford: Clarendon Press. doi:10.1093/acprof:oso/9780198506485.001.0001. ISBN 9780198506485. Zbl 1029.93001.
  9. Lyons, Terry; Caruana, Michael; Levy, Thierry (2007). Differential equations driven by rough paths, vol. 1908 of Lecture Notes in Mathematics. Springer.
  10. "Honored IMS Fellows". Institute of Mathematical Statistics. Retrieved 4 October 2018.
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