RTG: Coding Theory, Cryptography, and Number Theory

这个项目的目标是加强学生在编码理论，密码学和数论领域的发展。在本科生，研究生和博士后层面引入了具有强大垂直整合成分的活动，以改善这些领域的学生的招聘，保留和培训，包括历史上黑人学院和大学以及该地区的小型学院，并提供研究增长和促进博士后和早期职业教师的专业发展。 该基金资助的活动将使人们更广泛地接触到编码理论、密码学和数论等充满理论进步和实际应用的领域的最新研究方法和成果。该计划的研究问题集中在自守形式和代码、模形式和代数几何代码以及密码学和计算数论。这些主题允许学生通过计算和探索进入，并为理论进步和实际应用提供机会。该研究培训小组项目的活动包括课程和浓缩的研究经验，旨在更好地为学生从课程到研究的过渡做好准备;考试准备模块，以支持进入研究生院入学阶段的学生以及申请候选人资格的学生;和工作组，以扩大高级研究生和博士后的研究专业知识，超越他们的论文主题，除了专业发展网络机会。通过编码理论，密码学和数论研究培训小组提供的研究参与培训将培养更强大，更多样化的劳动力。

The goal of this project is to enhance the development of students in the fields of coding theory, cryptography, and number theory. Activities with strong vertical integration components are introduced at the undergraduate, graduate, and postdoctoral levels to improve recruitment, retention, and training of students in these areas, including those from historically black colleges and universities and small colleges in the region, and to provide research growth and facilitate professional development for postdocs and early career faculty. Activities supported by this grant will give broader access to the latest research methods and results in coding theory, cryptography, and number theory, areas replete with theoretical advances and practical applications.The research problems in this proposal center on automorphic forms and codes, modular forms and algebraic geometry codes, and cryptography and computational number theory. These topics allow entry for students via computation and exploration and offer the opportunity for both theoretical advances and practical applications. Activities in this Research Training Group project include curriculum and condensed research experiences designed to better prepare students transitioning from coursework to research; exam preparation modules to support students entering the graduate school admissions phase as well as those applying for candidacy; and working groups to broaden the research expertise of advanced graduate students and postdocs beyond their dissertation topics in addition to professional development and networking opportunities. The training through research involvement provided by this Research Training Group in Coding Theory, Cryptography, and Number Theory will develop a stronger and more diverse workforce.