RTG: Algebraic Geometry and Topology at the University of Utah

这笔赠款为犹他大学数学系举办的一些新的培训活动提供了支持。将有5门现代数学课程面向本科生：其中2门是为期两周的暑期课程，另外3门是秋季学期的课程。本科生还将有机会在春季学期从事独立研究项目。在研究生阶段，将有3个暑期高级迷你课程，每个为期2周，讲者来自全国各地和国外。其他活动包括各种类型的研讨会。这些活动将在教师、博士后和学生之间进行垂直整合。活动将涵盖资助期间的5个学年，外加总共10个暑期周。这笔助学金将直接资助6名本科生为期一学期的独立研究项目，25名为期11个月的研究生津贴，9名博士后研究员将由助学金部分资助，其余资助来自系。这笔助学金还将在暑期学校期间为大约50名本科生和60名研究生提供资助，并支付30名本科生为期一学期的现代数学课程的学费。本次研究性培训旨在为学生和博士后提供高水平的数学培训。犹他大学代数几何和拓扑学小组的教职员工在研究方面有着突出的记录，这笔拨款将支持将研究生和博士后课程提高到同一水平。这笔赠款还将加强这两个团体之间本已密切的联系。各种活动，特别是暑期迷你课程，将有助于吸引有才华的学生来到犹他州，无论是作为研究生还是博士后助理。该计划将影响本科、研究生和博士后水平的年轻数学科学家，并将提供一个促进跨层次和跨领域合作的环境。该项目还将对我们的高级研究生和博士后的培训产生深远的影响，使他们成为有效、积极的教师和导师。随着他们成长为成熟的数学家，这将产生远远超出我们当地环境和赠款期限的长期影响。

This grants provides support for a number of new training activities hosted by the Department of Mathematics of the University of Utah. There will be 5 courses on Modern Mathematics addressed to undergraduate students: 2 of them will be two-week long summer courses, the other 3 will be semester long classes offered during the Fall semester. Undergraduate students will also have the opportunity to work on independent research projects during the Spring semester. At the graduate level, there will be 3 advanced summer mini-courses, each 2 weeks long, with speakers coming from around the country and abroad. Other activities include various types of seminars. There will be vertical integration in these activities among faculty, postdocs and students. Activities will cover the span of the 5 academic years during the funding period, plus a total of 10 summer weeks. The grant will support directly 6 undergraduate students in one-semester long independent research projects, 25 eleven-month graduate student stipends, and 9 postdoctoral fellows to be partially supported by the grant with the remaining support coming from the department. The grant will also provide support for about 50 undergraduates and 60 graduate students during the summers schools, and cover tuition for the semester-long courses in Modern Mathematics for 30 undergraduate students. This research training is designed to provide students and postdocs a high level of mathematical training. The faculty in the Algebraic Geometry and Topology groups at the University of Utah has a prominent research record, and the grant will support bringing the graduate and postdoctoral program to the same level. The grant will also strengthen the already close connections between the two groups. The various activities, especially the summer mini-courses, will serve to attract talented students to come to Utah, either as graduate students or as postdoctoral associates. This program will impact young mathematical scientists at the undergraduate, graduate, and postdoctoral levels, and will provide an environment which will stimulate collaboration across levels and across fields. The program will have a deep impact also in the training of our senior graduate students and postdocs into becoming effective, motivated teachers and mentors. As they grow into mature mathematicians, this will have a long-lasting effect well beyond our local environment and the duration of the grant.