PRIMES: Program for Research In Mathematics, Engineering, and Science for high school Students

麻省理工学院PRIMES是麻省理工学院为高中生提供的为期一年的免费研究项目。PRIMES的目标是让有才华的高中生有一次独特的真正的数学研究体验，让他们发现喜悦和数学探索的美丽；激励他们追求数学科学的事业；并通过为有前途的贫困学生提供更多机会，使对数学感兴趣的学生队伍多样化。这个项目资助了素数的当地数学部。PRIMES学生将在学年期间从事他们的研究项目，并在麻省理工学院校园与他们的导师(麻省理工学院数学系研究生)每周举行会议。这些项目将在一年一度的PRIMES会议上公布，最终论文将发布在项目网站上，并通过arxiv.org和学术期刊传播。这个项目将资助高中生和他们的导师在下列领域的研究：量子舒伯特演算，Ramsey多重性，Richter-Thomassen猜想和相关主题，表示理论中出现的Hermitian形式的签名，结合代数的下中心系列的结构，以及以步为单位根的闭多边形路的性质。

MIT PRIMES is a free, year-long research program for high school students at the Massachusetts Institute of Technology. The goal of PRIMES is to give talented high school students a unique experience of real mathematical research, letting them discover the joy and beauty of mathematical exploration; to inspire them to pursue careers in the mathematical sciences; and to diversify the pool of students interested in mathematics by providing additional opportunities for promising students with underprivileged backgrounds. This project funds the local Mathematics Section of PRIMES. PRIMES students will work on their research projects during the academic year, aided by weekly meetings with their mentors (MIT Mathematics Department graduate students) on the MIT campus. The projects will be presented at annual PRIMES conferences, and final papers will be posted on the Program website and disseminated through arXiv.org and academic journals. This project will fund research by high school students and their mentors in the following areas: quantum Schubert calculus, Ramsey multiplicity, the Richter-Thomassen conjecture and related topics, signatures of Hermitian forms arising in representation theory, structure of lower central series of associative algebras, and properties of closed polygonal paths with steps being roots of unity.