Current advances in model theory include connections between model theory and Diophantine and real analytic geometry, permutation groups, and finite algebras. This text contains lectures on recent results in algebraic model theory, covering topics from the following areas: geometric model theory, the model theory of analytic structures, permutation groups in model theory, the spectra of countable theories, and the structure of finite algebras. The book is aimed at graduate students in logic and others wishing to keep abreast of current trends in model theory.