You are visitor
since 7th December 1999.
I am a mathematics lecturer in the
Department of Mathematical
and Computing Sciences at
University of London.
information is given at the bottom of this page.
My research interests are in both pure mathematics and theoretical computer
science. The following is a list of research topics in which I have worked.
- Geometric Measure Theory:
- here the goal is to use measure theoretic techniques to describe the
geometry of a number of mathematical objects; for example surfaces of
minimal area. Research projects have been
Hausdorff measures in metric spaces and
projection theorems for box and packing dimensions.
- Harmonic Analysis:
- my interest here has been an investigation into the solutions of the
convolution equation on a locally compact topological group. One aspect
of this is for matrix valued solutions.
- distance preserving linear maps between Banach spaces
X and Y enjoy a variety of mathematical properties;
for example, the Banach-Stone Theorem characterizes the isometries
between the continuous function spaces, with the supremum norm, of
compact Hausdorff spaces. Of interest are the properties of isometries
between X and Y taken from other classes of Banach space;
for example, when X and Y are
continuous real affine function spaces
of compact convex sets.
- Applications of Domain Theory in Computable Mathematics:
- one project is to extend and develop a theory of integration based on
domain theory. In another direction domain theory can be applied
to give a computational foundation to solid modeling and computational
geometry. This has direct applications to programming and questions
- Static Program Analysis:
- the underlying feature of this is to understand the relationship between
the control flow of a program and the data computations that it performs.
The research is divided into three strands; namely, schemas, slicing and
I am the lecturer for the following courses.
|Dr JD Howroyd
|Department of Mathematics
||(+44 | 0) 20 7919 7859|
||(+44 | 0) 20 7919 7853|
|University of London|
|London SE14 6NW|
27 June 2001|