The National Science Foundation (NSF) awarded a $152,334 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to Rutgers, The State University to conduct research on analytic problems involving automorphic forms and L-functions. The primary objectives are to better understand the size and properties of new families of L-functions, which are mathematical constructs that provide insights into the distribution of prime numbers. The research will involve studying moments of L-functions, large sieve inequalities, and developing new versions of the relative trace formula. The award period runs from December 1, 2024 to August 31, 2026. Rutgers plans to mentor undergraduate and graduate students on these research topics through its REU program and PhD advising. No subawards are planned under this grant.
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