This talk will be based on the well studied problem of finding asymptotic bounds for the density of rational (or algebraic) points of bounded height on transcendental sets. The guiding philosophy here is that such sets should contain (in a quantifiable way) "few" such points. After pointing out the connections with model theory, we will focus on the particular instances where the sets in question are graphs of transcendental meromorphic functions. We adopted a Nevanlinna theoretic approach and obtained the polylogarithmic bound predicted by (the analogue of) Wilkie's conjecture in this setting.

Bio: Taboka is a postdoctoral fellow at Fields. He obtained his PhD from Stellenbosch university, under the supervision of Gareth Boxall. He is interested in the interactions of model theory with transcendental number theory.