Vertical Integration of Research and Education in the Mathematical Sciences - VIGRE: Research Focus Groups in Mathematics
数学科学研究和教育的垂直整合 - VIGRE:数学研究焦点小组
基本信息
- 批准号:0135345
- 负责人:
- 金额:$ 320.18万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Continuing Grant
- 财政年份:2002
- 资助国家:美国
- 起止时间:2002-07-01 至 2008-06-30
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
DMS-0135345PI: Bruno L. Nachtergaele, UC DavisTitle: Research Focus Groups in MathematicsAbstractThe UCDavis VIGRE project offers a range of activities designed to integrate the excitement of research mathematics into every facet of its undergraduate, graduate and postdoctoral programs. To accomplish this, the investigators and their colleagues are running up to four Research Focus Groups as a means to coordinate the activities in four research areas. Each Research Focus Group includes regular faculty members, postdoctoral fellows, graduate students, and undergraduates. The areas of research of the Groups vary from year to year, depending on the interests and expertise of the faculty and graduate students. Initial proposals include: 1) Geometry and Topology, including Computational Aspects; 2) Dynamics of Classical and Quantum Many-Body Systems; 3) Mathematical Biology, including Protein Structure and Function, Biofluid Mechanics, and Spatial Models in Ecology; 4) Discrete Mathematics, including Algebraic and Geometric Combinatorics and Stochastic Discrete Optimization. The Research Focus Group activities include a research seminar, a reading seminar, research projects, and outreach programs. An internship program has also been set up as part of the project.Among the goals of the Research Focus Groups are to introduce undergraduates to mathematical research, to provide a mechanism for graduate students to interact closely with faculty and postdoctoral fellows early in their graduate careers, and to give postdoctoral fellows an opportunity to learn leadership skills necessary to a successful mathematical career. The Research Focus Groups offer participants direct involvement in active areas of research of great current interest. This allows beginning students to focus on a promising career path in mathematics early on, and creates an environment where they can be more effectively prepared for such careers. The VIGRE project and the ResearchFocus Groups also serve as a focus of new initiatives in graduate recruitment. Feedback from Research Focus Groups and internship participants is used to revise the mathematics undergraduate and graduate programs at UC Davis.
DMS-0135345PI:Bruno L. Nachtergaele,UC DavisTitle:研究重点小组在mathematicsabstractThe加州大学戴维斯分校的VIGRE项目提供了一系列的活动,旨在将研究数学的兴奋融入其本科生,研究生和博士后课程的各个方面。为了实现这一目标,研究人员及其同事正在运行多达四个研究焦点小组,以协调四个研究领域的活动。每个研究焦点小组包括正式教师,博士后研究员,研究生和本科生。各小组的研究领域每年都有所不同,这取决于教师和研究生的兴趣和专业知识。初步建议包括:1)几何学和拓扑学,包括计算方面; 2)经典和量子多体系统动力学; 3)数学生物学,包括蛋白质结构和功能,生物流体力学和生态学空间模型; 4)离散数学,包括代数学和几何组合学和随机离散优化。研究焦点小组的活动包括一个研究研讨会,一个阅读研讨会,研究项目和推广计划。 作为项目的一部分,还设立了一个实习项目。研究重点小组的目标之一是向本科生介绍数学研究,为研究生提供一个在研究生职业生涯早期与教师和博士后研究员密切互动的机制,并为博士后研究员提供一个学习成功数学职业所需的领导技能的机会。研究焦点小组让参与者直接参与当前非常感兴趣的活跃研究领域。这使初学者能够在早期专注于数学中有前途的职业道路,并创造一个环境,使他们能够更有效地为这些职业做好准备。VIGRE项目和研究重点小组也是毕业生招聘新举措的重点。从研究焦点小组和实习参与者的反馈被用来修改数学本科和研究生课程在加州大学戴维斯分校。
项目成果
期刊论文数量(0)
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科研奖励数量(0)
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Bruno Nachtergaele其他文献
Non-Equilibrium States of a Photon Cavity Pumped by an Atomic Beam
- DOI:
10.1007/s00023-013-0247-7 - 发表时间:
2013-03-30 - 期刊:
- 影响因子:1.300
- 作者:
Bruno Nachtergaele;Anna Vershynina;Valentin A. Zagrebnov - 通讯作者:
Valentin A. Zagrebnov
A Multi-Dimensional Lieb-Schultz-Mattis Theorem
- DOI:
10.1007/s00220-007-0342-z - 发表时间:
2007-09-09 - 期刊:
- 影响因子:2.600
- 作者:
Bruno Nachtergaele;Robert Sims - 通讯作者:
Robert Sims
Droplet States in the XXZ Heisenberg Chain
- DOI:
10.1007/s002200100421 - 发表时间:
2001-05-01 - 期刊:
- 影响因子:2.600
- 作者:
Bruno Nachtergaele;Shannon Starr - 通讯作者:
Shannon Starr
Product Vacua with Boundary States and the Classification of Gapped Phases
- DOI:
10.1007/s00220-014-2025-x - 发表时间:
2014-03-19 - 期刊:
- 影响因子:2.600
- 作者:
Sven Bachmann;Bruno Nachtergaele - 通讯作者:
Bruno Nachtergaele
The complete set of in(cid:12)nite volume ground states for Kitaev’s abelian quantum double models
Kitaev 的阿贝尔量子双模型的完整 in(cid:12)nite 体积基态集
- DOI:
- 发表时间:
- 期刊:
- 影响因子:0
- 作者:
Matthew Cha;Pieter Naaijkens;Bruno Nachtergaele - 通讯作者:
Bruno Nachtergaele
Bruno Nachtergaele的其他文献
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{{ truncateString('Bruno Nachtergaele', 18)}}的其他基金
Gapped ground state phases of quantum lattice systems
量子晶格系统的带隙基态相
- 批准号:
2108390 - 财政年份:2021
- 资助金额:
$ 320.18万 - 项目类别:
Standard Grant
Workshops on Mathematical Challenges in Many-Body Physics and Quantum Information
多体物理和量子信息中的数学挑战研讨会
- 批准号:
1838991 - 财政年份:2018
- 资助金额:
$ 320.18万 - 项目类别:
Standard Grant
Quasi-Locality Properties of Quantum Many-Body Dynamics and Applications
量子多体动力学的拟局域性性质及其应用
- 批准号:
1813149 - 财政年份:2018
- 资助金额:
$ 320.18万 - 项目类别:
Standard Grant
Mathematical Challenges in Many-Body Physics and Quantum Information: CRM Thematic Program.
多体物理和量子信息中的数学挑战:CRM 主题计划。
- 批准号:
1813177 - 财政年份:2018
- 资助金额:
$ 320.18万 - 项目类别:
Standard Grant
Dynamics, Ground States, and Elementary Excitations of Quantum Many-Body Systems
量子多体系统的动力学、基态和基本激发
- 批准号:
1515850 - 财政年份:2015
- 资助金额:
$ 320.18万 - 项目类别:
Standard Grant
Dynamics and Ground States in Quantum Statistical Mechanics
量子统计力学中的动力学和基态
- 批准号:
1009502 - 财政年份:2010
- 资助金额:
$ 320.18万 - 项目类别:
Standard Grant
XVIth International Congress on Mathematical Physics, August 1 -- 8, 2009, Prague, Czech Republic
第十六届国际数学物理大会,2009 年 8 月 1 日至 8 日,捷克共和国布拉格
- 批准号:
0855460 - 财政年份:2009
- 资助金额:
$ 320.18万 - 项目类别:
Standard Grant
FRG: Collaborative Research: Quantum SpinSystems. Theory and Applications in Quantum Computation
FRG:合作研究:量子自旋系统。
- 批准号:
0757581 - 财政年份:2008
- 资助金额:
$ 320.18万 - 项目类别:
Standard Grant
U.S.-Brazil Workshop: XVth International Congress on Mathematical Physics, August 5 - August 11, 2006, Rio de Janeiro, Brazil
美国-巴西研讨会:第十五届国际数学物理大会,2006 年 8 月 5 日至 11 日,巴西里约热内卢
- 批准号:
0555031 - 财政年份:2006
- 资助金额:
$ 320.18万 - 项目类别:
Standard Grant
Equilibrium and Non-Equilibrium Statistical Mechanics
平衡和非平衡统计力学
- 批准号:
0605342 - 财政年份:2006
- 资助金额:
$ 320.18万 - 项目类别:
Continuing Grant
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