Richard Kaye

Colleges, School and Institutes

Willingness to take PhD students

Yes

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