M odel theory is a branch of mathematical logic in which one studies mathematical structures by considering the first-order sentences true of those structures and the sets definable in those structures by first-order formulas. The fields of real and complex numbers have long served as motivating examples for model theorists. Many model theoretic concepts arose by abstracting classical algebraic phenomena to a more general setting (see, for example, [29]). In the past five years significant… CONTINUE READING