Geometry

Blowups: An algebraic-geometric approach to resolving singularities

It is rare that blowing something up solves a problem - but when it comes to objects with singularities, it turns out to be a good approach! In this talk, I will outline the method of blowing up a singularity of an algebraic variety in order to …

Curve Shortening Flow

Differential geometry originated as the study of *curved* or *bent* spaces fixed in time; over the last 4 decades, however, geometers have overseen huge developments in the study of spaces which are not fixed but change, or *flow*, over time. One of …