Gustav Mårdby

I am interested in geometric analysis, a branch of mathematics that involves both geometric and analytic techniques.  The analysis typically comes from mathematical physics, which uses partial differential equations to describe physical processes like heat, waves, and energy.  The physical process happens in some geometric setting, and this is where the geometry enters.  In my master's thesis, I studied the relationship between the spectrum of the Laplace operator on bounded domains in the plane and their geometry.  I will continue this investigation and study related problems in geometric analysis with main supervisor Julie Rowlett.