David Galban

My interests lie in the fields of Lie theory and representation theory. Specifically, I have been studying representations of Lie superalgebras using tools from homological algebra, particularly cohomology groups and spectral sequences.

Representation theory is at the heart of much of modern mathematics, and has applications in a broad array of fields. Understanding representations of Lie algebras, Lie superalgebras and quantum groups has potential applications in physics and chemistry. These disciplines apply the fundamental understanding of symmetries for these objects to their structures. The further development of new cohomological and geometric techniques might lead to important connections with these disciplines.