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Kenneth Falconer | University of St Andrews



Kenneth Falconer is a mathematician who specialises in Fractal Geometry and related topics. He is Professor of Pure Mathematics at the University of St Andrews and a member of the Analysis Research Group of the School of Mathematics and Statistics. He was an undergraduate (graduating as a Wrangler), research student and Research Fellow at Corpus Christi College, Cambridge, and became a Lecturer and then a Reader at the University of Bristol before moving to St Andrews in 1993.

Kenneth's main research interests are in fractal and multifractal geometry, geometric measure theory and related areas. His wide-ranging research has involved the description, occurrence, geometrical properties and dimensional analysis of fractal sets and measures. For example, his work on projections of fractals led to the concept of the digital sundial (a set with essentially any desired projections in all directions). He has derived formulae for the dimensions of specific types of fractals and multifractals such as self-affine sets and non-conformal repellers in dynamical systems. He has worked on dimensional and topological properties of random fractals and multifractals, including fractal percolation problems. He has recently studied nonlinear partial differential equations on fractal domains and random fractal processes. He has published over 100 papers in mathematics journals. His best-selling books Fractal Geometry - Mathematical Foundations and Applications (with Solutions Manual 2nd Ed. Solutions Manual 3rd Ed.), Techniques in Fractal Geometry and The Geometry of Fractal Sets treat many mathematical aspects of fractal geometry. His recent book, Fractals - A Very Short Introduction, presents the ideas of fratals at a very basic level. In 2000 he gave the London Mathematical Society annual Popular Lecture Fractals - the New Geometry, which is available on a DVD.

He has spoken at many major international conferences on fractal geometry and analysis. He was Principal Organiser of the four month Programme on Fractal Mathematics and Applications at the Isaac Newton Institute in Cambridge from January to April 1999. This highly successful Programme attracted leading mathematicians and physicists from across the world for discussion and collaboration on the mathematics of fractals. He has been a Visitng Professor at a number of universities including Oregon State University and the Australian National University, Canberra.

Kenneth's other research interests also have a geometric flavour: these include the geometry of convex sets, combinatorial geometry and the mathematics of X-ray tomography. His book, Unsolved Problems in Geometry, written with Hallard Croft and Richard Guy, surveys unsolved problems in these and other areas of geometry, though many of the problems discussed are no longer 'unsolved'. In his youth Kenneth worked at the National Physical Laboratory for a short time, where he wrote an automatic contouring algorithm which was incorporated into the NAG Library.

He was elected a Fellow of the Royal Society of Edinburgh in 1998. He was a member of the Council of the London Mathematical Society for 9 years and was their Publications Secretary from 2006-09. He has also has served on the General Committee of the Edinburgh Mathematical Society. He is on the Editorial Boards of Advances in Mathematics, Fractals, Journal of Fractal Geometry, and Mathematical Proceedings of the Cambridge Philosophical Society.

Kenneth's main leisure activity is long distance walking and hillwalking. He has twice climbed all the Munros (Scottish hills over 3000ft), as well as all the Corbetts (2500-2999ft). He is a keen member of the Long Distance Walkers Association, and was Chairman from 2000-03 and Editor of their magazine Strider from 1987-92 and from 2007-12. He has completed the last 30 of the LDWA's annual hundred mile continuous cross-country walks in times ranging from 26 to 32 hours. He is a Centurion and a member of the Marilyn Hall of Fame.


Kenneth Falconer
Mathematical Institute
University of St Andrews
North Haugh
St Andrews
Fife
KY16 9SS
Scotland

Telephone: 01334 476161 Ext. 3733
Direct line: 01334 463733
Fax: 01334 463748
 

email: kjf@st-andrews.ac.uk


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