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PRIMES Experience: Broadening Math Research and Enrichment Options for High School Students

PRIMES Experience: Broadening Math Research and Enrichment Options for High School Students
PRIMES 经验:拓宽高中生的数学研究和丰富选择
批准号:
2218846
负责人:
Pavel Etingof
金额:
$37.5万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2022
资助国家:
美国
项目状态:
未结题
起止时间:
2022-09-01 至 2025-08-31

项目摘要

项目成果

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中文摘要
翻译
该奖项部分支持PRIMES(数学、工程和科学研究计划)的活动,包括2022-2024年的三次PRIMES年度会议。PRIMES于2010年在麻省理工学院成立,为来自美国各地的有才华的高中生提供在学术导师的指导下从事为期一年的研究项目的机会。学生团体还参加阅读项目、在线研究论坛和住宿暑期数学夏令营。该计划支持研究生和本科生担任导师,并通过为代表不足的群体的成员提供额外的机会来帮助多样化的数学社区。学生研究项目的潜在主题包括原子么半群、正半环、模表示理论中的本森猜想、Verlinde张量范畴中的李理论、特征p中Cherednik代数的表示以及经典信息论。有关该计划的更多细节和信息可在该计划中找到,website:https://math.mit.edu/research/highschool/primes.This奖反映了美国国家科学基金会的法定使命,并已通过使用基金会的智力优势和更广泛的影响审查标准进行评估,被认为值得支持。
英文摘要
This award partially supports the activities of PRIMES (Program for Research in Mathematics, Engineering and Science), including three annual PRIMES conferences in 2022-2024. Established at MIT in 2010, PRIMES offers talented high school students from across the U.S. an opportunity to work on year-long research projects under the guidance of academic mentors. Groups of students also participate in reading programs, online research forums, and a residential summer math camp. The program supports graduate students and undergraduates serving as mentors and helps diversify the mathematical community by providing additional opportunities for members of underrepresented groups.Potential topics for student research projects include atomic monoids, positive semirings, Benson's conjectures in modular representation theory, Lie theory in the Verlinde tensor category, representations of Cherednik algebras in characteristic p, and classical information theory. More details and information about the program may be found on the program website:https://math.mit.edu/research/highschool/primes.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.
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会议论文
Tensor Categories and Representations of Quantized Algebras
PRIMES, MathROOTS, and CrowdMath: Expanding Opportunities for High School Students
PRIMES: Program for Research In Mathematics, Engineering, and Science for high school Students
Tensor Categories and Representation Theory
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