RTG: Research in Combinatorics
RTG:组合学研究
基本信息
- 批准号:1937241
- 负责人:
- 金额:$ 249.27万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Continuing Grant
- 财政年份:2020
- 资助国家:美国
- 起止时间:2020-06-01 至 2025-05-31
- 项目状态:未结题
- 来源:
- 关键词:
项目摘要
The Research Training Group (RTG) in Combinatorics at UIUC will establish a number of activities involving researchers at all career stages ranging from undergraduate students to senior faculty. The project takes advantage of the combined strength and leadership of UIUC's faculty in multiple areas of a venerable field. The RTG has five PIs (Balogh, Di Francesco, Kedem, Kostochka, and Yong) and one senior personnel (Ford), which includes three speakers of the International Congress of Mathematicians (ICM). The depth and breadth of faculty, courses, and events at UIUC combinatorics is unique in the United States, as it includes algebraic combinatorics, graph theory and additive number theory. Thereby, students experience a broad range of education and options before deciding upon on their thesis direction. This fundamentally and positively affects recruitment and retention of domestic students, and in particular women and underrepresented minorities (URM). This claim is supported by a recent 2017 AMS award to the UIUC mathematics department as a whole. This RTG award is the first for the UIUC mathematics department, and is therefore of special impact. It tremendously strengthens UIUC's position to educate and train US students overall. Given the importance and applicability of combinatorics, it tangibly contributes to America's mathematical and scientific prominence. The RTG will provide a unifying structure for the development of researchers and to foster collaborations. Activities of the RTG include research workshops, new research seminars, conferences, and undergraduate mentoring. The strengths of UIUC combinatorics faculty are in two major areas: 1. Probabilistic and Extremal Combinatorics (Balogh, Kostochka), and 2. Algebraic, Geometric and Physical Combinatorics (Di Francesco, Kedem, Yong). All RTG faculty apply their work to other STEM fields, specifically physics and theoretical computer science. Ford (senior personnel) is a world leader in the related area of additive number theory. The primary purpose of this RTG is to support combinatorics graduate students. It funds conference travel for undergraduate students, graduate students, and postdocs. The program will be bolstered by a biannual combinatorics lecture series. More external contact will come from four annual summer schools layered with related conferences (ALGECOM and the Graduate Student Combinatorics Conference) organized by RTG faculty. The RTG supports non-local participation of students and (especially early career) faculty at RTG events. The award also vastly expands ICLUE (Illinois Combinatorics Lab for Undergraduate Experience), which is a novel UIUC career-long research and mentoring program. The RTG will hire four postdocs. These postdocs will not only assist in planned activities but also benefit from the intellectual environment offered by this research training group.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.
UIUC组合学的研究培训小组(RTG)将在所有职业阶段建立许多涉及研究人员的活动,从本科生到高级教师。该项目利用了UIUC教师在一个古老领域的多个领域中的联合力量和领导。 RTG有五个PI(Balogh,Di Francesco,Kedem,Kostochka和Yong)和一名高级人员(福特),其中包括国际数学家国际大会(ICM)的三位议长。 UIUC Combinatorics的教师,课程和事件的深度和广度在美国是独一无二的,因为它包括代数组合学,图理论和添加数理论。因此,在决定论文方向之前,学生会经历广泛的教育和选择。这从根本上和积极地影响了家庭学生的招聘和保留,尤其是妇女和代表性不足的少数民族(URM)。这一主张得到了整个UIUC数学部门最近颁发的2017年AMS奖的支持。该RTG奖是UIUC数学部门的第一个奖项,因此具有特殊影响。它极大地增强了UIUC的整体教育和培训学生的立场。鉴于组合主义者的重要性和适用性,它明显地有助于美国的数学和科学知名度。 RTG将为研究人员的发展和促进合作提供统一的结构。 RTG的活动包括研究研讨会,新研究研讨会,会议和本科指导。 UIUC组合学院的优势在两个主要领域:1。概率和极端组合(Balogh,Kostochka),以及2。代数,几何和物理组合(Di Francesco,Kedem,Kedem,Yong,Yong)。所有RTG教师都将其工作应用于其他STEM领域,特别是物理学和理论计算机科学。福特(高级人员)是添加数理论相关领域的世界领导者。该RTG的主要目的是支持组合研究生。它为本科生,研究生和博士后提供了会议旅行。该程序将由双年度组合演讲系列增强。由RTG教师组织的相关会议(Algecom和研究生组合会议)分层的四个年度暑期学校将提供更多的外部联系。 RTG支持学生的非本地参与,尤其是(尤其是早期职业)在RTG活动中。该奖项还大大扩展了ICLUE(伊利诺伊州的组合实验室的本科生经验),这是一项新型的UIUC职业生涯长期研究和指导计划。 RTG将雇用四个博士后。这些博士后不仅将有助于计划的活动,而且还会从该研究培训小组提供的知识环境中受益。该奖项反映了NSF的法定任务,并被认为是值得通过基金会的知识分子优点和更广泛影响的评估标准来通过评估来提供支持的。
项目成果
期刊论文数量(27)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Sharp threshold for the Erdős–Ko–Rado theorem
ErdÅsâKoâRado 定理的尖锐阈值
- DOI:10.1002/rsa.21090
- 发表时间:2023
- 期刊:
- 影响因子:1
- 作者:Balogh, József;Krueger, Robert A.;Luo, Haoran
- 通讯作者:Luo, Haoran
s-Catalan numbers and Littlewood-Richardson polynomials
s-Catalan 数和 Littlewood-Richardson 多项式
- DOI:10.54550/eca2022v2s2r14
- 发表时间:2021
- 期刊:
- 影响因子:0
- 作者:Linz, William
- 通讯作者:Linz, William
Generalized DP-colorings of graphs
图的广义 DP 着色
- DOI:10.1016/j.disc.2022.113186
- 发表时间:2023
- 期刊:
- 影响因子:0.8
- 作者:Kostochka, Alexandr V.;Schweser, Thomas;Stiebitz, Michael
- 通讯作者:Stiebitz, Michael
$3$-reconstructibility of rooted trees
- DOI:10.4310/pamq.2022.v18.n6.a7
- 发表时间:2022
- 期刊:
- 影响因子:0.7
- 作者:A. Kostochka;M. Nahvi;D. West;Dara Zirlin
- 通讯作者:A. Kostochka;M. Nahvi;D. West;Dara Zirlin
Arctic Curves of the Twenty-Vertex Model with Domain Wall Boundaries
具有磁畴壁边界的二十顶点模型的北极曲线
- DOI:10.1007/s10955-020-02518-y
- 发表时间:2020
- 期刊:
- 影响因子:1.6
- 作者:Debin, Bryan;Di Francesco, Philippe;Guitter, Emmanuel
- 通讯作者:Guitter, Emmanuel
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Jozsef Balog其他文献
Jozsef Balog的其他文献
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{{ truncateString('Jozsef Balog', 18)}}的其他基金
FRG: Collaborative Research: Extremal Combinatorics and Flag Algebras
FRG:协作研究:极值组合学和标志代数
- 批准号:
2152488 - 财政年份:2022
- 资助金额:
$ 249.27万 - 项目类别:
Standard Grant
Global and Local Properties of Discrete Structures
离散结构的全局和局部属性
- 批准号:
1764123 - 财政年份:2018
- 资助金额:
$ 249.27万 - 项目类别:
Continuing Grant
CAREER: Methods and Outreach in Modern Combinatorics
职业:现代组合学的方法和推广
- 批准号:
0745185 - 财政年份:2008
- 资助金额:
$ 249.27万 - 项目类别:
Continuing Grant
Extremal Graph Theory and Bootstrap Percolation
极值图论和 Bootstrap 渗滤
- 批准号:
0603769 - 财政年份:2005
- 资助金额:
$ 249.27万 - 项目类别:
Standard Grant
Extremal Graph Theory and Bootstrap Percolation
极值图论和 Bootstrap 渗滤
- 批准号:
0302804 - 财政年份:2003
- 资助金额:
$ 249.27万 - 项目类别:
Standard Grant
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