Postdoctoral Fellowship: MPS-Ascend: Understanding Fukaya categories through Homological Mirror Symmetry

博士后奖学金：MPS-Ascend：通过同调镜像对称理解深谷范畴

• 批准号: 2316538
• 负责人: Catherine Cannizzo
• 金额: $ 30万
• 依托单位: Cannizzo, Catherine Kendall Asaro
• 依托单位国家: 美国
• 项目类别: Fellowship Award
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-07-01 至 2026-06-30
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2316538&HistoricalAwards=false
• 关键词: Postdoctoral; Fellowship; MPS; Ascend; Understanding

Dr. Catherine Cannizzo is awarded a National Science Foundation Mathematical and Physical Sciences Ascending Postdoctoral Research Fellowship (NSF MPS-Ascend) to conduct a program of research, education, and activities related to broadening participation by groups underrepresented in STEM. This fellowship supports the research project entitled "Understanding Fukaya categories through Homological Mirror Symmetry". The project activities will be conducted at the host institution, University of California, Berkeley, under the mentorship of Professor David Nadler. The PI will use the Fukaya category and homological mirror symmetry to study the symplectic geometry of Landau-Ginzburg models, including algebraic implications from microlocal sheaf theory and automorphism groups. Other projects include studying the A-infinity structure of the Fukaya category as well as regularity in its structure map computations. To broaden participation by groups underrepresented in STEM, the PI will build on previous experience co-facilitating a virtual reading group, part of a call to action called Symplectic Group Action, centered around Black Lives Matter in mathematics teaching and advocating for students of color. She will facilitate a similar reading group with department members at the host institution. She will volunteer at the Expanding Your Horizons conference at UC Berkeley, one of TechBridge Girls’ STEM events for 6th-8th grade students, whose mission is to increase participation of BIPOC (Black, Indigenous, and people of color) girls in STEM.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.

凯瑟琳·坎尼兹（Catherine Cannizzo）博士被授予国家科学基金会的数学和物理科学升级博士后研究奖学金（NSF MPS-ASCEND），以开展研究，教育和活动计划，这些计划与STEM中代表性不足的团体扩大参与有关。该奖学金支持题为“通过同源镜子对称理解福卡亚类别”的研究项目。该项目活动将在戴维·纳德勒（David Nadler）教授的心态下在加利福尼亚大学伯克利分校的东道国伯克利分校进行。 PI将使用福卡亚类别和同源镜子对称性来研究Landau-Ginzburg模型的对称几何形状，包括来自微局部链条理论和自动形态群体的代数含义。其他项目包括研究福卡亚类别的A-内结构以及其结构图计算中的规律性。为了扩大在STEM中代表性不足的小组的参与，PI将基于以前的经验，即一个虚拟阅读小组，这是一个称为Symplexitic组行动的呼吁的一部分，围绕数学教学中的黑人生活问题，并提倡有色学生。她将与主持机构的部门成员一起促进类似的阅读小组。她将自愿参加在UC Berkeley的扩大视野会议上，这是Techbridge Girls的STEM事件之一，该活动是为6至8年级的学生提供的，其任务是增加BIPOC（黑人，土著，有色人种和有色人种）参加STEM的参与。该奖项反映了NSF的法定任务，并通过评估了CRARITIAL和FORGITIAL IDICTIAL和FORGITIAL，并在宽广的知识上反映了支持者的支持。