The National Science Foundation (NSF) awarded a $193,010 Project Grant through its Mathematical and Physical Sciences (CFDA 47.049) program to the Regents of the University of Minnesota, doing business as the Office of Sponsored Projects Administration. This 3-year grant, active from September 1, 2024 to August 31, 2027, supports a research project that aims to develop connections between number theory and physics, particularly in the areas of quantum groups and special functions. The project will explore the relationship between highly symmetric functions used in number theory and the symmetries that arise in statistical mechanics, with a focus on using quantum group modules and affine Lie superalgebra modules to produce lattice models and study matrix coefficients of algebraic groups over local fields. The research is expected to provide deeper insights into the Langlands program and offer research training opportunities for undergraduate and graduate students.
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