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Kenneth Falconer - Home PageKenneth Falconer is Professor of Pure Mathematics in the School of Mathematics and Statistics at the University of St Andrews. He works in the Analysis Research Group, where the main interests are fractal and multifractal geometry and dynamics. He was an undergraduate, 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 Geometry and Geometric Measure Theory. 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 90 papers in mathematics journals. His best-selling books Fractal Geometry - Mathematical Foundations and Applications (with Solutions Manual ), Techniques in Fractal Geometry and The Geometry of Fractal Sets treat many mathematical aspects of fractal geometry. 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. 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. 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 is currently Editor of their magazine Strider having been Chairman from 2000-03. He has completed the last 25 of the LDWA's annual hundred mile continuous cross-country walks in times ranging from 26 to 32 hours. Kenneth Falconer
Telephone: 01334 476161 Ext. 3733
email: kjf@st-andrews.ac.uk
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