This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant award in the amount of $160,000.00 will fund research by the Regents of the University of Minnesota on 2D materials and strongly correlated electronic phases, with the goal of developing mathematical methods to predict the emergent properties of moiré materials. The research will build on the investigator's preliminary work justifying the Bistritzer-MacDonald continuum model for the wavefunction of electrons in twisted bilayer graphene. Over the 3-year project period from June 2024 to May 2027, the research will generalize this model to incorporate more realistic features, analytically investigate important properties, and develop models of mechanical and electronic interactions in moiré materials. The project aims to advance the mathematical understanding of emergent phenomena in moiré materials, which have potential applications in quantum technologies like scalable quantum computing. The grant will also support training of University of Minnesota graduate students and outreach to local middle and high school students.