This National Science Foundation Division of Mathematical Sciences Project Grant award in the amount of $329,094 provides funding from August 1, 2022 through July 31, 2025 to support research investigating questions about how objects from combinatorics and number theory vary in families. The Principal Investigator at the University of California, Irvine will use ideas from algebraic geometry and number theory to answer combinatorial questions and enhance understanding of error-correcting codes, lattices, and sandpile groups of graphs. The research combines ideas from multiple areas of pure and applied mathematics and is intended to promote collaboration across disciplines. It aligns with the goals of the NSF Mathematical and Physical Sciences program (CFDA 47.049) to increase scientific knowledge and understanding of major problems.
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