Monthly Archives: June 2017

Hilbert’s Basis Theorem

If you have had some experience with rings and commutative algebra in the past, you may have encountered the idea of a Noetherian ring. This post will not deal with explaining Noetherian rings or their importance; instead I would recommend several … Continue reading

Posted in Ring and Field Theory | Leave a comment

“One Line” Algebra Qual Problems

Today I’m going to try to distill some solutions to previous algebra qual problems into one sentence answers. This will likely mean that the solutions are missing details, but my hope is to be able to give a decent overview … Continue reading

Posted in Group Theory, Ring and Field Theory | Tagged | Leave a comment

A good title for this blog post exists, but I don’t know what it is

Today we will look at one of my favorite topics in combinatorics: the probabilistic method. Championed by Paul Erdős in the 1940’s, the probabilistic method has since become a staple in extremal and Hungarian-style combinatorics. While the applications of the probabilistic method … Continue reading

Posted in Combinatorics | Tagged , | Leave a comment