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Kenneth Falconer (mathematician)

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Nationality
  
British

Known for
  
Fractal

Role
  
Mathematician


Name
  
Kenneth Falconer

Doctoral advisor
  
Hallard Croft

Kenneth Falconer (mathematician) wwwmathsmcsstandrewsacukkennethkjfjpeg

Born
  
25 January 1952 (age 72) Hampton Court (
1952-01-25
)

Institutions
  
University of St Andrews

Thesis
  
Properties of Convex Sets and Functions Determined by Sectional Integrals (1979)

Alma mater
  
Kingston Grammar School, Corpus Christi College, Cambridge

People also search for
  
Michael Barnsley, Hallard Croft, Richard K. Guy, Hallard T. Croft

Books
  
Fractal Geometry: Mathemat, Fractals: A Very Short Introduction, The geometry of fractal, Techniques in fractal geometry

Institution
  
University of St Andrews

Kenneth John Falconer FRSE (born 25 January 1952) is a mathematician working in mathematical analysis and in particular on fractal geometry . He is Professor of Pure Mathematics in the School of Mathematics and Statistics at the University of St Andrews.

He is known for his work on the mathematics of fractals and in particular sets and measures arising from iterated function systems, especially self-similar and self-affine sets. Closely related is his research on Hausdorff and other fractal dimensions. He formulated Falconer's conjecture on the dimension of distance sets and conceived the notion of a digital sundial. In combinatorial geometry he established a lower bound of 5 for the chromatic number of the plane in the Lebesgue measurable case.

Falconer was educated at Kingston Grammar School, Kingston upon Thames and Corpus Christi College, Cambridge. He graduated in 1974 and completed his PhD in 1979 under the supervision of Hallard Croft. He was a Research Fellow at Corpus Christi College, Cambridge from 1977–1980 before moving to Bristol University. He was appointed Professor of Pure Mathematics at the University of St Andrews in 1993 and was Head of the School of Mathematics and Statistics from 2001-2004. He was elected a Fellow of the Royal Society of Edinburgh in 1998. He served on the Council of the London Mathematical Society from 2000-2009 including as Publications Secretary from 2006-2009.

His recreational interests include long distance walking and hill walking. He was Chair of the Long Distance Walkers Association from 2000–03 and Editor of their journal Strider from 1987–92 and 2007-12. He has twice climbed all the Munros as well as all the Corbetts.

Selected publications

  • Falconer, Kenneth (1985). The Geometry of Fractal Sets. Cambridge University Press. 
  • Falconer, Kenneth (1990). Fractal Geometry: Mathematical Foundations and Applications. John Wiley & Sons. 
  • Croft, Hallard; Falconer, Kenneth; Guy, Richard (1991). Unsolved Problems in Geometry. Springer. 
  • Falconer, Kenneth (1997). Techniques in Fractal Geometry. John Wiley. 
  • References

    Kenneth Falconer (mathematician) Wikipedia