This $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research on compactifications of moduli spaces and their tropicalizations at Brown University. The project aims to develop new techniques to advance the study of moduli spaces, which are important parameter spaces in algebraic geometry with connections to mathematics, physics, and combinatorics. The research will utilize tropical geometry to apply combinatorial-geometric methods and investigate the cohomology of arithmetic groups. This award provides research training opportunities for students and is expected to yield new progress on long-standing problems in the field.
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