Kevin Costello

My research uses tools from mathematics to explore string theory and quantum field theory. The long-term goal of my research is to provide rigorous constructions of (parts of) string theory with a view towards formulating string dualities in mathematical terms. My current focus is on twisted forms of the AdS/CFT correspondence and on the formulation of integrable systems in string and gauge theory. Recently I have become interested in applying these methods to the study of four-dimensional models which are not too far from the models describing interactions of fundamental particles.