Research output per year
Research output per year
Accepting PhD Students
PhD projects
Richard Kaye’s research is centred on the topic of nonstandard models - systems of numbers behaving like normal numbers but which include infinite and infinitesimal. Study of these models is often combined with other disciplines, including complexity theory, recursion theory, set theory, algebra and analysis.
Dr Kaye is interested in supervising doctoral researchers in the following areas:
Nonstandard models of Peano arithmetic
Recursively saturated models of arithmetic and of other theories
Applications of nonstandard models to other areas of mathematics, especially algebra and group theory
Combinatorial game theory and nonstandard models
Satisfaction classes and notions of truth over a nonstandard model of arithmetic
Research activity per year
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
Research output: Contribution to journal › Article › peer-review
Research output: Contribution to journal › Article › peer-review
Research output: Contribution to journal › Article
Research output: Contribution to journal › Article › peer-review
Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed)
Research output: Contribution to conference (unpublished) › Paper
Research output: Contribution to conference (unpublished) › Paper
Research output: Contribution to journal › Article
Research output: Contribution to journal › Article
Research output: Contribution to journal › Article › peer-review
Research output: Contribution to journal › Article
Research output: Contribution to journal › Article
Research output: Book/Report › Book
Research output: Contribution to conference (unpublished) › Paper
Research output: Chapter in Book/Report/Conference proceeding › Chapter