Determinant method study group

Week	Description	Speaker	Suggested resources
2	Introductory talk	Joseph
B3.01, 1pm on 27/05	Bombieri--Pila: The number of integral points on arcs and ovals.	Joe	Link to article Link to article of Bloom and Duker-Lichtman
5	O-minimal structures, the cell decomposition theorem.	Joseph	Van den Dries book
6	The proof of the Pila--Wilkie theorem.	Owen	Article of Wilkie Article of Bhardwaj and Van den Dries
7	Continuation of the proof of the Pila--Wilkie theorem, or discussion of some of the following topics: Wilkie's conjecture and counterexamples of Surroca. Sharp o-minimality. Effectivity.
8	Applications of the Pila--Wilkie theorem in diophantine geometry.
9	Heath-Brown: The density of rational points on curves and surfaces.		arXiv link to article
10	Continuation of the paper of Heath-Brown.		arXiv link to article