An Innovative Bridge Program for Mentoring BS-MS Fast-Track Students towards PhDs in Mathematical Sciences

德克萨斯大学阿灵顿分校数学系将开展一项为期三年的桥梁项目，涉及30名学生，将他们过渡到数学科学的博士课程。我们的目标学生是那些在攻读博士学位方面还没有像那些在分析和高级线性代数方面有很强准备的学生那样有竞争力的学生，尤其是那些来自代表性不足或服务不足的群体的学生。该项目旨在成为一个综合支持系统，受益于德克萨斯大学阿灵顿分校数学博士项目中现有的数学学习社区以及教师指导和同伴指导。该项目将为参与的学生提供全面的准备和创新的课程和培训计划，以强调从本科课程到综合博士课程的过渡，从而为他们提供充分发展数学科学知识和学术潜力的机会。通过解决与过渡到数学科学博士研究相关的关键问题，特别是对于那些来自代表性不足或服务不足的群体，该项目有可能通过作为其他机构或其他科学，技术，工程和数学（STEM）领域的示范项目，为未来数学科学领导者的数量，质量和多样性做出重大贡献。通过与提供博士课程的机构合作，该项目也有可能影响国内服务不足机构的本科数学培训课程的改进，使双方受益。通过解决与过渡到数学科学博士研究相关的关键问题，特别是那些来自代表性不足或服务不足的群体的问题，该项目也有可能为数学科学未来领导者的数量、质量和多样性的显著增加做出贡献。通过与提供博士课程的机构合作，该项目也有可能影响国内服务不足机构的本科数学培训课程的改进，使双方受益。这个为期三年的项目旨在提高美国数学科学博士生的质量和数量，特别是那些代表性不足或服务不足的群体，通过强有力的指导和具有BS-MS快速通道组件的桥梁博士课程。它的目标是那些来自代表性不足的群体或来自小型学院或少数民族服务机构的有才华的学生，由于缺乏，特别是在分析和高级线性代数方面，他们还没有被认为具有严格的国家博士项目的竞争力。该项目旨在培养和指导参与的学生，使他们在分析和高级线性代数方面做好充分的准备，并在数学科学的综合博士课程中具有竞争力。该项目建立在两个基石之上：(1)一个具有BS-MS快速通道的通往博士学位的桥梁项目，重点关注从本科到研究生项目的过渡，以加强他们在分析和高级线性代数方面的背景；(2)为这些学生提供海湾国家数学联盟的全面系统，该联盟是全国数学科学博士研究联盟的一个区域分支，涵盖德克萨斯州、路易斯安那州和密西西比州。

The Mathematics Department at the University of Texas Arlington will run a three-year bridge project involving 30 students to transition them to doctoral programs in the mathematical sciences. The targeted students are those, especially from underrepresented or underserved groups, who are not yet as competitive for doctoral programs as those who already had strong preparation in analysis and advanced linear algebra. The project is intended to be a comprehensive support system that benefits from the existing mathematics learning community in the mathematics doctoral program at the University of Texas Arlington and faculty mentoring and peer mentoring. This project will provide participating students with the opportunity to develop their full intellectual and academic potential in the mathematical sciences, by providing them with a comprehensive preparation and an innovative curricular and training program that emphasizes transition from an undergraduate program to a comprehensive PhD program. By addressing critical issues related to transition to doctoral studies in the mathematical sciences, particularly for those from underrepresented or underserved groups, the project has the potential to contribute to a significant increase in the quantity, quality, and diversity of the future leaders in the mathematical sciences, by serving as a model program for other institutions or other Science, Technology, Engineering and Mathematics (STEM) fields. This project has also the potential to impact curriculum improvements in the undergraduate mathematical training in underserved institutions in the nation through collaboration with institutions offering doctoral programs, benefiting both parties. By addressing critical issues related to transition to doctoral studies in the mathematical sciences, particularly for those from underrepresented or underserved groups, the project also has the potential to contribute to a significant increase in the quantity, quality, and diversity of the future leaders in the mathematical sciences. This project has also the potential to impact curriculum improvements in the undergraduate mathematical training in underserved institutions in the nation through collaboration with institutions offering doctoral programs, benefiting both parties.This three-year project aims at increasing the quality and quantity of US doctoral students in the mathematical sciences, particularly those among underrepresented or underserved groups, through strong mentoring and a bridge-to-doctorate program with a BS-MS fast-track component. It targets those talented students among underrepresented groups or from small colleges or minority serving institutions, who are not yet considered competitive for rigorous national doctoral programs due to deficiency especially in analysis and advanced linear algebra. The project aims to train and mentor the participating students to make them well prepared in analysis and advanced linear algebra and to become competitive for a comprehensive PhD program in Mathematical Sciences. The project builds on two cornerstones: (1) a bridge-to-doctorate program with a BS-MS fast track that focuses on students in transition from undergraduate to graduate programs to strengthen their background in analysis and advanced linear algebra, and (2) a comprehensive system for such students providing strong mentoring and aggressive recruitment in the Gulf States Math Alliance, a regional branch of the National Alliance for Doctoral Studies in the Mathematical Sciences covering the states of Texas, Louisiana, and Mississippi.