Morphisms between affine varieties are determined simply by specifying a fixed number of polynomials. On the other hand, morphisms between projective varieties are not as easy to deal with in general and may sometimes require construction via _gluing_. If one tries to understand collections of morphism, it becomes tricky to keep track of all the "gluing data". This problem is …

I decided to start this blog by writing about my favourite proof that can be fit in a blog post and which put me on the track to learn algebraic geometry. I was originally fascinated by the connections that algebraic geometry makes between branches of mathematics and uses these to solve actual problems, which is what I saw nicely demonstrated …