Dynamic leader and innovator with a proven track record in STEM education and team organization, notably at Sierra Canyon School. Excelled in strategic thinking and data analysis, securing 2nd place in South California Math League and leading a non-profit to teach 500+ students and creating children's picturebooks on STEM. Demonstrates critical thinking and team leadership, driving impactful educational initiatives. Talented Actress delivers engaging performances both alone exemplified by doing Shakespearean monologues and with collaborative and dynamic ensembles exemplified by succeeding in 5+ productions. Diligent with memorization skills and willingness to accept coaching and direction.
Teaching students in Yunnan,China in schools which don’t have English teachers and ones who need English enrichment but couldn’t afford one. We are responsible for 3-5th graders. We created a group of 10+ people as a teaching organization, teaching 500+ students for 300+ hrs in three years. We focus on grammar points, reading, speaking and listening. I learn how to organize a team and how to arrange people in jobs they are matched with.
Team Leadership
Strategic Thinking
Entrepreneurial and Innovative
Data Analysis
Critical Thinking
Dramatic acting
Math Research Abstract:
This research is motivated by Atiyah, Hitchin, and Singer's paper Self-duality in Four-Dimensional Riemannian Geometry which introduced a relationship between self-dual Yang-Mills fields on smooth manifolds and holomorphic vector bundles on their twistor spaces. Here, self-duality is a specific structure in 4-dimensional manifolds and Yang-Mills fields are gauge fields that satisfy Yang-Mills equations in 4-dimensions and are corresponded to the holomorphic bundles on twistor spaces. In this paper, we extend the relationship from vector bundles to a generalization of the Yang-Mills fields. To achieve this purpose, we apply Atiyah, Hitchin, and Singer's theorem to cohesive modules, which was originally introduced by Block in studying coherent sheaves over complex manifolds and the relations between homomorphic torus and its dual non-commutative torus. We introduce the notion of cohesive self-dual Yang-Mills modules and show that the twistor correspondence actually induces the equivalence between the dg category of cohesive self-dual Yang Mills modules P_{A_{SD}} and the dg category of holomorphic cohesive modules P_{A_{Hol}} on the twistor spaces.