This $179,714 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research by Virginia Polytechnic Institute & State University (Virginia Tech) to design and analyze algorithms for computing the endomorphism ring of supersingular elliptic curves. The project aims to improve the understanding of the security of isogeny-based cryptosystems, which are believed to be secure against quantum attacks. The research will also study the expansion properties of generalized isogeny graphs, which could have additional cryptographic applications. The award includes educational activities to incorporate project-based learning involving programming into undergraduate mathematics courses. No sub-awards are planned under this grant, which runs from July 2024 through June 2029.
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