Owing to request from students, lectures and exercise classes are to be conducted in English, in contrast to the information on STiNE.

In this introductory course, we will start from the commutative algebra viewpoint to construct correspondence between algebraic sets and ideals with the help of Hilbert's Nullstellensatz. Related notions such as variety, morphism, Zariski topology, rational maps, birational equivalence will be then introduced.

This course will essentially follow chapter 1 of the "standard literature of algebraic geometry", the book by Hartshorne, for our treatment in the algebraic side. It is notable that many concepts in the theory of variety have counterparts in differential geometry. Therefore, students are recommended to be equipped with some knowledge of differential geometry in order to have more intuition and perspective to this more algebraic approach.