Cameron Franc

Vertex operator algebras (VOAs) are algebraic objects that arose in the study of infinite dimensional lie algebras, mathematical physics, and in the classification of finite simple groups. These days they are understood to give rise to vector bundles...

The Shimura-Maass derivative is a differential operator which maps modular functions of weight $k$ to modular functions of weight $k+2$, but which does not preserve holomorphy. Shimura was the first to notice that, modulo powers of a CM-period...

Vertex operator algebras (VOAs) as discussed in this talk are graded complex vector spaces with a collection of many bilinear operations satisfying some intricate identities. They first arose in mathematics and physics via the study of string theory...