Research scientist Andrew Sutherland spearheaded the exploration into elliptic curves, realizing that existing data was insufficient. He analyzed over a billion elliptic curves, discovering that murmurations appeared consistently despite the scale. The phenomena extended beyond elliptic curves to other L-functions. A workshop organized by Sarnak and colleagues at Brown University unveiled more research on murmurations in modular forms. PhD student Nina Zubrilina made a breakthrough with an explicit formula explaining murmuration patterns in modular forms with large conductors. Zubrilina’s formula has since inspired new research, uncovering additional types of murmurations in various mathematical objects. Serendipitous factors led to the initial discovery of murmurations, highlighting the importance of unorthodox approaches in mathematical research.
https://www.quantamagazine.org/elliptic-curve-murmurations-found-with-ai-take-flight-20240305/