In the context of finding the "best" predictive model, this research project focuses on assessing and fitting models with least-absolute-deviation techniques.

There are always two Calabi-Yau varieties that produce a particular physical model. In mathematics we call this phenomenon mirror symmetry, the purpose of this study.

In this project, we study the analogous measure of complexity given by a generalization of a surface called a C-complex.

Our goal is to be able to predict how automorphisms of the semihypercubes act using the Hasse graphs of the fixed k-faces to obtain a generating function for the Hasse graph polynomial.

The mathematical field of mirror symmetry seeks to understand the geometric correspondences between paired Calabi-Yau varieties.