This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $210,000 to the University of Maryland, College Park to conduct research on the interplay between polylogarithms, cluster algebras, and hyperbolic geometry. The award, effective August 15, 2024 through July 31, 2027, will support efforts to investigate key conjectures, find new examples of hyperbolic manifolds, and compute invariants using cluster coordinates. The research aims to advance scientific knowledge in these areas and explore their surprising links, with the principal investigator involving both graduate and undergraduate students. No subward is planned under this grant.
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