I am a lecturer in pure maths at the University of Glasgow. My office number is 527 in the department of mathematics and statistics. My research is in DT theory and cohomological Hall algebras, with a focus on applications to cluster algebras, nonabelian Hodge theory and geometric representation theory. At the moment I am particularly interested in BPS Lie algebras, and using cohomological DT theory to understand nonabelian Hodge theory. All of this comes under the umbrella of utilising the cohomological integrality theorem in noncommutative DT theory, a joint work with Sven Meinhardt. Here is a talk I gave at the Fields Institute in 2016 on all this. You can get hold of me at bdjdavison at gmail dot com. . |