In this paper, I will take you on an excursion from Algebraic Geometry through Valuation Theory to Model Theoretic Algebra, and back. If our destination sounds too exotic for you, you may jump off at the Old World (Valuation Theory) and divert yourself with problems and examples until you catch our plane back home.
Kuhlmann, F.-V. (2000). Valuation Theoretic and Model Theoretic Aspects of Local Uniformization. In Resolution of Singularities (pp. 381–456). Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-8399-3_15