Job title:
Professor
Research area:
Bio:
Year appointed: 2012
Other Affiliations: Group in Logic and the Methodology of Science
Selected Publications:
- Embedding Jump Upper Semilattices into the Turing Degrees. Journal of Symbolic Logic, Vol. 68 (3), 2003, pp. 989-1014.
- Ranked Structures and Arithmetic Transfinite Recursion. With Noam Greenberg. Transactions of the AMS Vol 360, 2008, pp. 1265-1307.
- On the equimorphism types of linear orderings. Bulletin of Symbolic Logic Vol 13, 2007, pp. 71-99.
- On the n-Back-and-Forth types of Boolean Algebras. With Kenneth Harris. Transactions of the AMS, 364 (2012), 827–866.
- Open questions in Reverse Mathematics. Bulletin of Symbolic Logic, 17 (2011), 431-454.
- Rice Sequences of Relations. Philosophical Transactions of the Royal Society A, 370 (2012), 3464-3487.
- The limits of determinacy in Second Order Arithmetic. With Richard A. Shore. To appear in the Proceedings of the London Math Society.
- A computability theoretic equivalent to Vaught’s conjecture. Advances in Mathematics, 235 (2013), 56–73.
Research interests:
Mathematical logic, computability theory
Role:
Full CV:
