This document outlines some of the present research interests of most members of the Department who are in a position to supervise the research of students entering during 1999/2000 academic year. The sections are simply arranged by alphabetical order of the potential supervisors' names. Where a supervisor is part of a research group this is indicated. In addition to describing some possible topics that a new research student could pursue, this document should enable identification of a supervisor whose research interests and expertise are likely to overlap with those of the applicant. Since many supervisors are willing to be involved in research that is related to the topics they list, informal correspondence with likely supervisors is encouraged, and has often proved a useful prelude to a formal application. Members of the Department can be contacted by sending electronic mail to firstname.lastname@cs.york.ac.uk. Readers without access to electronic mail facilities can contact members of the Department at: