QGM has an exhaustive focus on the mathematical models for quantum field theories. The ambition is to create a mathematical ground for some of the physicist’s quantum field theories – and thereby reach a step deeper into the understanding of the universe.
Albeit the earth will not be destroyed when the particle accelerator at CERN begins producing proton beams, there is no precise mathematical definition of the particle physics standard model which predicts the experimental results. By utilizing quantum geometry of various moduli spaces QGM studies the properties of similar theories which has a complete and precise mathematical definition.
The pivotal aspect of the researchers work is precisely quantum geometry based on quantifications from geometrical methods, with moduli spaces as the geometrical key objects. The studies of three-dimensional spaces have moreover applications in correlation with the research in protein folding within the field of biology.