MATHEMATICS RESEARCH AREAS

One of the principal driving forces behind contemporary pure mathematics is the quest to identify and understand intercategorical links, and many of its successes derive from their exploitation (as is witnessed by, for example, the area of representation theories). Her recent research efforts concern a cluster of such links connecting the fields of set-theoretic topology, partially- and quasi- ordered sets and logic: a zone of interaction which historically has proven highly productive.

Her doctoral research concerned order-theoretic characterisations of certain topological properties that are relevant to theoretical computer science. Subsequent research has included an investigation of the order-theoretic structure of the family of subspaces (ordered by homeomorphic embeddability) of separable, completely metrizable spaces and an investigation of relative topological properties. As a special and currently intractable case in the former investigation, the real line has yet to yield to a complete characterisation of those posets that can be represented by subspaces of the real line. The latter investigation was introduced as a systematic study in 1996 by Professor A. V. Arhangel'skii, Ohio University and University of Moscow.

GALWAY TOPOLOGY COLLOQUIA

This series had its inauguration in NUI Galway in 1997 and rotates annually among Galway, Oxford, Birmingham, Belfast and Hull, uniting the centres of topological research within the British Isles in a meaningful and productive way. A key feature of this meeting is its encouragement of postgraduate students to participate in a relaxed and informal atmosphere.

For a comprehensive account of the world of general topology, see
Topology Atlas at http://mail.mathatlas.yorku.ca/topology/.