2014, Harbourne, Brian, Szemberg, Tomasz

We discuss certain open problems in the context of arrangements of lines in the plane.

2016, Szemberg, Tomasz, Szpond, Justyna

Mathematicians routinely speak two languages: the language of geometry and the language of algebra. When translating between these languages, curves and lines become sets of polynomials called “ideals”. Often there are several possible translations. Then the mystery is how these possible translations relate to each other. We present how geometry itself gives insights into this question.