2021 Waterman Award

2021年沃特曼奖

• 批准号: 2140043
• 负责人: Melanie Wood
• 金额: $ 100万
• 依托单位: Harvard University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2021
• 资助国家: 美国
• 起止时间: 2021-09-01 至 2026-08-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2140043&HistoricalAwards=false
• 关键词: 2021; Waterman; Award

The National Science Foundation (NSF) named Melanie Matchett Wood, Professor of Mathematics at Harvard University, as the 2021 Alan T. Waterman Award recipient: For fundamental contributions at the interface of number theory, algebraic geometry, topology, and probability including establishing deep results in the subject of random matrices, advancing the field by proving, and occasionally disproving, conjectures and widely believed statements. Some of Dr. Wood’s most cited work, on random matrices, random graphs, and random sandpiles, will have downstream applications in both physics and statistics. One focus of Dr. Wood’s work has been to develop a nonabelian analogue of the Cohen-Lenstra heuristics, in which class groups are replaced by Galois groups of nonabelian extensions of a varying number field. Dr. Wood also developed a remarkable understanding of quadratic forms with arbitrarily "strange" coefficients. Dr. Wood is one of the world’s leaders in her field of mathematics and is at the top of her generation in mathematics overall.Dr. Wood has taken on a leadership role in her profession, promoting greater participation by girls and women in mathematics, for example through her work with high school programs, and communicating the ubiquity of mathematics to a lay audience. At the age of 16, Wood was the first female member of the U.S. international Math Olympiad team and led the first U.S. team to participate in the international Girls’ Math Olympiad contest for high school students. She has embraced her unique position as a leader in mathematics to inspire others and to be a model for the next generation. Dr. Wood has won numerous prizes and awards, including being the first woman to win the Morgan Prize for the top undergraduate mathematics research in North America and being the first American woman to be named a Putnam Fellow. She received the AWM-Microsoft Research Prize in Algebra and Number Theory. In addition, she was named a Clay Mathematics Institute Liftoff Fellow, an Inaugural Fellow of the American Mathematical Society, a Sloan Research Fellow, and a recipient of a Packard Fellowship for Science and Engineering.Dr. Wood received her BS degree from Duke University in 2003 and her PhD from Princeton University in 2009. She was an AIM Fellow from 2009-2014 and named as a Clay Liftoff Fellow in 2009, holding these at Stanford University, and in 2011 joined the faculty of the University of Wisconsin as an Assistant Professor. She moved to the University of California at Berkeley as a Professor in 2019 and since May of 2020 has been a Professor at Harvard University.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.

美国国家科学基金会（NSF）任命哈佛大学数学教授Melanie Matchett Wood为2021年艾伦·t·沃特曼奖获得者：表彰她在数论、代数几何、拓扑和概率论领域的基础贡献，包括在随机矩阵主题中建立深入的结果，通过证明（偶尔反驳）猜想和广泛相信的陈述来推进该领域。伍德博士被引用最多的一些关于随机矩阵、随机图和随机沙堆的研究，将在物理学和统计学中有下游应用。伍德博士的工作重点之一是开发Cohen-Lenstra启发式的非阿贝尔模拟，其中类群被变数域的非阿贝尔扩展的伽罗瓦群所取代。伍德博士还对带有任意“奇怪”系数的二次型有了非凡的理解。伍德博士在她的数学领域是世界上的领导者之一，在整个数学领域是她那一代的佼佼者。伍德在她的专业领域发挥了领导作用，促进女孩和妇女更多地参与数学，例如通过她与高中课程的合作，并向非专业观众传达数学的无处不在。16岁时，伍德成为美国国际数学奥林匹克代表队的第一位女队员，并带领美国代表队首次参加国际高中女生数学奥林匹克竞赛。她接受了自己作为数学领袖的独特地位，以激励他人，并成为下一代的榜样。伍德博士赢得了无数的奖项和奖项，包括成为第一位获得北美顶级本科数学研究摩根奖的女性，也是第一位被任命为普特南研究员的美国女性。她获得了awm -微软代数和数论研究奖。此外，她还被任命为克莱数学研究所的升空研究员、美国数学学会的首届研究员、斯隆研究所的研究员，以及帕卡德科学与工程奖学金的获得者。伍德于2003年获得杜克大学学士学位，2009年获得普林斯顿大学博士学位。2009年至2014年，她是AIM研究员，2009年被任命为Clay Liftoff研究员，在斯坦福大学（Stanford University）担任这些职位，并于2011年加入威斯康星大学（University of Wisconsin）担任助理教授。她于2019年搬到加州大学伯克利分校担任教授，自2020年5月起担任哈佛大学教授。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

项目成果

Random integral matrices: universality of surjectivity and the cokernel

随机积分矩阵：满射性和 cokernel 的普遍性

• DOI: 10.1007/s00222-021-01082-w
• 发表时间: 2022
• 期刊: Inventiones mathematicae
• 影响因子: 3.1
• 作者: Nguyen, Hoi H.;Wood, Melanie Matchett
• 通讯作者: Wood, Melanie Matchett