Zariski structures in noncommutative algebraic geometry and representation theory Solanki, Vinesh Zilber, Boris Mathematical logic and foundations Algebraic geometry Quantum theory (mathematics) 03C 16G 18F 81R A suitable subcategory of affine Azumaya algebras is defined and a functor from this category to the category of Zariski structures is constructed. The rudiments of a theory of presheaves of topological structures is developed and applied to construct examples of structures at a generic parameter. The category of equivariant algebras is defined and a first-order theory is associated to each object. For those theories satisfying a certain technical condition, uncountable categoricity and quantifier elimination results are established. Models are shown to be Zariski structures and a functor from the category of equivariant algebras to Zariski structures is constructed. The two functors obtained in the thesis are shown to agree on a nontrivial class of algebras. 2011 text thesis born digital ora:6492 en urn:uuid:3fa23b75-9b85-4dc2-9ad6-bdb20d61fe45