Polynomial subalgebras in two dimensions
In this project we look at subalgebras of the polynomial ring i two variables ![LaTeX: \mathbb{K}[x,y]](https://canvas.education.lu.se/equation_images/%255Cmathbb%257BK%257D%255Bx%252Cy%255D?scale=1 "\mathbb{K}[x,y]")
of low codimension. To such a subalgebra is associatied a finite set of points in 
called the Spectrum. Polynomials belong to the subalgebra if and only if they satisfy a (small) number of conditions on the polynomial and some of its directional derivatives in the spectral points. We want to classify such subalgebras.
Contact: Anna Torstensson (anna.torstensson@math.lth.se)