This Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $123,986 to the University of Pittsburgh to conduct research on the p-adic variation of modular Galois representations. The project aims to develop new techniques to investigate degeneracies or singularities in continuously varying families of Galois actions. This research has the potential to yield refinements in the connections between Galois representations and modular forms, as well as new approaches to computing solutions to polynomial equations. Additionally, the funding will support graduate and undergraduate student research, and outreach activities to enrich math education for elementary and middle school students in the western Pennsylvania region. The award period runs from June 1, 2024 to May 31, 2027.
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