Sean Downes

Graduate-level mathematical physics exploring representation theory, quantum field theory and their deep connections. Current focus: symmetries in quantum mechanics, Lie algebras and groups, vertex operator algebras, and their applications to conformal field theory and string theory.

I'm Sean a mathematical physicist (PhD TAMU '13) working at the intersection of pure mathematics and theoretical physics. After some time away in industry, I'm using this channel to discuss my studies into the representations of affine Lie algebras and their applications to Physics.

This channel offers technical deep-dives for graduate students and researchers, connecting abstract mathematical structures to physical intuition. Topics include Lie theory, gauge theory, conformal field theory, quantum mechanics, and occasionally some particle phenomenology for fun.