MPS-Ascend: Topics in Low-Dimensional Topology and Heegaard Floer Theory

MPS-Ascend：低维拓扑和 Heegaard Floer 理论主题

• 批准号: 2213027
• 负责人: Biji Wong
• 金额: $ 30万
• 依托单位: Wong, Biji
• 依托单位国家: 美国
• 项目类别: Fellowship Award
• 财政年份: 2022
• 资助国家: 美国
• 起止时间: 2022-05-01 至 2025-04-30
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2213027&HistoricalAwards=false
• 关键词: MPS; Ascend; Topics; Low; Dimensional

This award is funded in whole or in part under the American Rescue Plan Act of 2021 (Public Law 117-2). PI Biji Wong is awarded a National Science Foundation Mathematical and Physical Sciences Ascending Postdoctoral Research Fellowship (NSF MPS-Ascend) to conduct a program of research and activities related to broadening participation by groups underrepresented in STEM. This fellowship to Dr. Wong supports the research project entitled "MPS-Ascend: Topics in Low-Dimensional Topology and Heegaard Floer Theory," under the mentorship of a sponsoring scientist. The host institution for the fellowship is Duke University, and the sponsoring scientist is Dr. Adam Levine.Building on her prior research, the PI plans to use bordered Floer theory to study sliceness of satellite knots as well as categorification of invariants of three-orbifolds. Other projects include using Heegaard Floer homology to understand double covers of the three-sphere branched over links and generalization of the slice-ribbon conjecture in the setting of links. To broaden participation, the PI plans to collaboratively set up virtual Directed Reading Programs at HBCUs, including North Carolina Central University, help organize a mentoring cluster for minority women mathematicians in the North Carolina area, and form partnerships with the Math Alliance network as well as R1 mathematics departments.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该奖项的全部或部分资金根据《2021 年美国救援计划法案》（公法 117-2）提供。 PI Biji Wong 被授予美国国家科学基金会数学和物理科学提升博士后研究奖学金 (NSF MPS-Ascend)，用于开展一项与扩大 STEM 代表性不足群体的参与相关的研究和活动计划。黄博士的这项奖学金支持在一位赞助科学家的指导下题为“MPS-Ascend：低维拓扑和 Heegaard Floer 理论的主题”的研究项目。该奖学金的主办机构是杜克大学，赞助科学家是 Adam Levine 博士。在她之前的研究基础上，PI 计划使用有界 Floer 理论来研究卫星结的切片以及三轨道不变量的分类。其他项目包括使用 Heegaard Floer 同源性来理解链接上分支的三球体的双重覆盖以及链接设置中切片带猜想的推广。为了扩大参与范围，PI 计划在包括北卡罗莱纳中央大学在内的 HBCU 合作设立虚拟定向阅读项目，帮助为北卡罗莱纳州地区的少数族裔女性数学家组织一个辅导集群，并与数学联盟网络以及R1 数学部门。该奖项反映了 NSF 的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。