The National Science Foundation (NSF) awarded a $250,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to The Trustees of Princeton University Office of Research and Project Administration Division, doing business as Princeton University. This grant, awarded on June 1, 2024, will fund research centered on algebraic geometry and singularities in arithmetic settings, with the goal of developing new techniques to describe higher differential forms in positive characteristic, improve understanding of mixed characteristic singularities, and extend the validity of the minimal model program in arithmetic settings. The Principal Investigator plans to involve graduate students in the research and organize workshops for early career mathematicians. This work is expected to lead to new advancements in birational geometry and commutative algebra.
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