Conformal Dynamics and Teichmuller Spaces (Mathematics)

基恩博士将继续她的共形动力系统的研究， 象征动力学 特别是， 有理映射的某些参数空间的基本群， 单侧Bernoulli移位的自同构群为 进一步探索。 此外，她还将继续研究 这就是被刺破的环面的Teichmuller空间的结构。 互动活动包括参与和提供一系列 在普林斯顿的一次定期数学研讨会上， 鼓励女大学生学习数学， 组织了一天专门的共形动力学讲座。 讲座将由杰出的数学家和 将邀请东北地区感兴趣的女数学家参加。 该项目进一步促进了VPW计划的目标，即（1）提供 为妇女提供在工程和技术领域发展职业生涯的机会 由NSF支持的科学学科和（2）鼓励妇女 通过提供更大的科学和工程专业知识， 在工业界就业的女科学家和女工程师的知名度， 政府和学术机构。 通过鼓励 妇女参与科学，这是一项宝贵的投资， 国家未来的科学活力。

Dr. Keen will continue her study of conformal dynamical systems and symbolic dynamics. In particular, the relationship between the fundamental groups of certain parameter spaces of rational maps and the automorphism groups of the one-sided Bernoulli shifts will be explored further. In addition, she will continue her study of the structure of the Teichmuller space of the punctured torus. Interactive activities include participating and giving a series of lectures in a regular mathematics seminar at Princeton, meeting with undergraduate women to encourage them to study mathematics, and organizing a special day of lectures devoted to conformal dynamics. Lectures will be presented by distinguished mathematicians and interested women mathematicians from the Northeast will be invited. This project furthers VPW program objectives which are (1) to provide opportunities for women to advance their careers in engineering and in the disciplines of science supported by NSF and (2) to encourage women to pursue careers in science and engineering by providing greater visibility for women scientists and engineers employed in industry, government, and academic institutions. By encouraging the participation of women in science, it is a valuable investment in the Nation's future scientific vitality.