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

Catherine Cannizzo博士被授予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），以开展与扩大STEM中代表性不足群体参与相关的研究，教育和活动计划。该奖学金支持题为“通过同源镜像对称理解深谷分类”的研究项目。项目活动将在主办机构加州大学伯克利分校进行，由David Nadler教授指导。PI将使用Fukaya范畴和同调镜像对称来研究Landau-Ginzburg模型的辛几何，包括微局部轴理论和自同构群的代数含义。其他项目包括研究深谷类别的a -无穷结构及其结构图计算的规律性。为了扩大STEM中代表性不足的群体的参与，PI将以以往的经验为基础，共同推动一个虚拟阅读小组，这是一个名为“辛小组行动”的行动呼吁的一部分，该行动以数学教学中的黑人生命很重要为中心，并倡导有色人种学生。她将与主办机构的系里成员一起组织一个类似的阅读小组。她将在加州大学伯克利分校的“拓展你的视野”会议上做志愿者，这是TechBridge女孩为6 -8年级学生举办的STEM活动之一，其使命是提高BIPOC（黑人、土著和有色人种）女孩在STEM领域的参与度。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

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.