Research Collaboration Conference in Number Theory

数论研究合作会议

• 批准号: 2012061
• 负责人: Alina Bucur
• 金额: $ 1.5万
• 依托单位: University of California-San Diego
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2020
• 资助国家: 美国
• 起止时间: 2020-07-01 至 2023-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2012061&HistoricalAwards=false
• 关键词: Research; Collaboration; Conference; Number; Theory

This award will support travel to a workshop that will take place from November 16 to 20, 2020 at the Banff International Research Station. It is the fifth in a series of research collaboration conferences. Much of the time during the workshop is reserved for collaboration in small groups led by senior researchers in the field. The major goals of this workshop are to produce significant and impactful research in number theory; help train graduate students and postdocs by providing exposure to new topics and experience with collaborative research and the publication process; strengthen and extend a collaborative research network in number theory and related areas; and enable faculty at smaller colleges to actively participate in research collaborations. More information is available at http://www.birs.ca/events/2020/5-day-workshops/20w5175 and http://www-personal.umich.edu/~weiho/win5/. The award, which provides travel funding for underrepresented minorities in the mathematical sciences to participate in the workshop at the Banff International Research Stations will also strengthen accessibility by faculty from smaller institutions and at earlier career stage.This workshop will support the continued development of the number theory community by bringing together researchers at various stages of their careers (including graduate students, postdoctoral researches, tenure-track faculty, and senior mathematicians) for research collaboration and mentoring. The scientific focus of the workshop is on cutting-edge topics in number theory, including dynamical Mahler measure, mock theta functions and related combinatorics, number theory in function fields, q-Analogues of generalized van Hamme supercongruences, representations of p-adic groups, self-dual normal bases and cohomological invariants, supersingular isogeny graphs in cryptography, and zeta functions with coefficients in the Grothendieck-Witt ring.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.

该奖项将资助参加2020年11月16日至20日在班夫国际研究站举行的研讨会的旅费。这是一系列研究合作会议中的第五次。研讨会期间的大部分时间是为由该领域的资深研究人员领导的小组协作保留的。这个工作坊的主要目标是在数论方面产生重大和有影响的研究；通过提供与合作研究和出版过程有关的新主题和经验，帮助培训研究生和博士后；加强和扩大数论和相关领域的合作研究网络；并使较小学院的教员能够积极参与研究合作。欲了解更多信息，请访问http://www.birs.ca/events/2020/5-day-workshops/20w5175和http://www-personal.umich.edu/~weiho/win5/.。该奖项为在班夫国际研究站参加研讨会的数学科学领域未被充分代表的少数群体提供旅行资金，也将加强来自较小机构的教师和职业生涯早期阶段的教师的可及性。该研讨会将通过聚集处于不同职业生涯阶段的研究人员(包括研究生、博士后研究人员、终身教职教师和高级数学家)来支持数论社区的持续发展。研讨会的科学焦点集中在数论的前沿主题上，包括动态马勒测量、模拟theta函数及其相关组合学、函数域中的数论、广义van Hamme超同余的Q-类似、p-ady群的表示、自对偶正规基和上同调不变量、密码学中的超奇异同源图以及系数在Grothendieck-Witt环中的Zeta函数。该奖项反映了NSF的法定使命，并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。