Leo is currently an undergraduate student at the University of Sydney with majors in mathematics and chemistry. His mathematical interests include category theory, knot theory, and ergodic theory, and he would like to know more about representation theory. In 2018 he is planning to pursue Honours in pure mathematics.
Niemeier Lattices and Homological Algebra
The goals of this project are:
– to define and classify Niemeier lattices as they arise from gluing root lattices
– to categorify root lattices, that is, present them as Groethendieck groups of module categories
– to understand the obstacles in lifting gluing constructions to the categorical level (original research)