Summer 2020 Remote Research

I want to thank the URS Office for supporting me with a summer research on Abelian Surfaces. This research was co-advised by Dr Adam Gyenge from Mathematical Institute, Oxford University, and Dr Ezra Miller from Departments of Mathematics and Statistical Sciences, Duke University. Abelian Surfaces have rich structures and lie in the intersection of different directions of investigation. They can be understood from the complex-analytic point of view as tori. They can be understood as symplectic manifolds. They can also be understood as algebraic groups. I enjoyed learning about them in the past summer. I gathered a broad picture idea of how different disciplines are related to each other. I gained an appreciation of the importance of taking multiple points of view. There are many unanswered questions about this family of objects, and I hope to find out more about them in the future, with better understanding of the relevant theories and machineries. Thank you URS Office!