This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research on algebraic cycles, automorphic forms, and L-functions. The $230,000 award to The Trustees of Columbia University in the City of New York, spanning July 1, 2024 to June 30, 2027, aims to deepen the understanding of these mathematical objects and their connections, particularly in high dimensions. The research will include work on the arithmetic of elliptic curves and solving algebraic equations, with the potential to advance techniques for addressing the Birch and Swinnerton-Dyer conjecture, one of the Millennium Prize Problems. The project will also involve mentoring graduate students, organizing conferences and workshops, and publishing expository articles to disseminate the research findings.
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