Okke van Garderen
School of Maths & Stats, 132 University Pl, Glasgow G12 8TA
email: (click to reveal)@gmail.com
My research centers around problems from algebraic geometry, which I tackle using various techniques from representation theory, deformation theory, and category theory. At the moment I am looking at singularities arising in the minimal model program, and methods of extracting refined Donaldson-Thomas invariants from such spaces.
In my thesis I show how to find Donaldson-Thomas invariants for threefold flops using tilting theory. The main results can be found in this pre-print, and the thesis itself will be available soon.
I am one of the organisers of the GEARS seminar together with Ruth Reynolds, Alex Levine and Ross Paterson.