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EMSW21-RTG: UCSB RTG in Topology and Geometry

EMSW21-RTG: UCSB RTG in Topology and Geometry
EMSW21-RTG:拓扑和几何中的 UCSB RTG
批准号:
1045292
负责人:
Xianzhe Dai
金额:
$80.28万
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
2011
资助国家:
美国
项目状态:
已结题
起止时间:
2011-09-15 至 2018-08-31

项目摘要

项目成果

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中文摘要
翻译
该RTG项目涉及UCSB拓扑和几何组的成员,包括PI Daryl库珀、Xianzhe Dai、Darren Long、Marty Scharlemann、Guofang Wei和Dave莫里森(高级人员),以及由Mike Freedman领导的Microsoft Station Q提供的额外培训和实习机会,包括Matt Hastings、Kevin步行者和Zhenghan Wang。 该项目旨在为圣巴巴拉的博士后和研究生提供丰富的几何和拓扑学培训经验。 该计划将资助三名研究生和两名博士后研究员以及三名本科生在整个学年的大部分时间。 此外,PI将设置一个丰富的课程,其中包括一个小型课程计划,以及这个小组有机会参加夏季REU的几何和拓扑主题,将向全国各地的本科生开放。 多年来,该小组一直致力于为研究生和博士后提供咨询和指导,为他们建立一个支持性的、激发智力的环境;他们希望利用RTG项目进一步改善该项目。有了RTG资金,PI将能够在研究生和博士后水平上提供更丰富的学术更广泛的研究和教学经验。 它将用于新的博士学位,以建立自己作为研究人员和教育工作者,并为研究生,以扩大他们的教育几何和拓扑通过建立新的迷你课程和实习机会增强研究计划。 有才华和有动力的本科生将通过REU计划招募到该计划中,特别强调加强该集团已经与女性的优秀记录,以及吸引来自文化多样性地区的学生,即南加州。
英文摘要
This RTG project involves the members of topology and geometry group at UCSB, with PIs Daryl Cooper, Xianzhe Dai, Darren Long, Marty Scharlemann, Guofang Wei, and Dave Morrison (senior personnel), and with additional training and internship opportunity provided by Microsoft Station Q headed by Mike Freedman, including Matt Hastings, Kevin Walker and Zhenghan Wang. The project aims to offer an enriched training experience in geometry and topology at the post-doctoral and graduate student levels in Santa Barbara. The program will fund three graduate students and two post-doctoral fellows as well as three undergraduate students throughout most of the academic year. In addition, the PIs will put in place an enriched curriculum which includes a program of minicourses as well as the opportunity for this group to participate in a summer REU in topics in geometry and topology which will be open to undergraduates across the country. The group has made great efforts over the years with its emphasis upon advising and mentoring to build a supportive, intellectually stimulating environment for graduate students and post-docs; they hope to use the RTG program to improve the program still further.With the RTG funds the PIs will be able to offer an enriched academic more broadly based research and teaching experience at both the graduate and post-doctoral levels. It will be used for new PhDs to establish themselves as reseachers and educators and for graduate students to broaden their education in geometry and topology through a research program augmented by establishing new mini-courses and internship opportunities. Talented and motivated undergraduates will be recruited to the program through the REU program, with special emphasis directed towards enhancing the group's already excellent record with women, as well as drawing on students from a culturally diverse area, namely Southern California.
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会议论文
Analytic Torsion, Conical Singularity and Geometric Applications
Geometric Applications of Dirac Operator and Atiyah-Singer Index Theory
Dirac operator, Atiyah-Singer index theory, and applications
International Conference on Geometry and Analysis of Manifolds
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