The link between the planar spectrum of 4d conformal field theories and integrable systems (both classical and quantum) has had far-reaching implications for the understanding of gauge theory more generally. However, much of this intuition has come from the study of the most supersymmetric case, which is therefore highly unrealistic. I will argue that there is a lot to be learnt by looking at...
I speculate on how we will be doing mathematics and formal theory in the next 10–20 years and discuss what we should do in the near term to prepare
Currently I am looking at what we can learn about QFT in de Sitter space by embedding it as a boundary CFT in AdS, features of black hole attractors that have been heated up and Spindle solutions in SUGRA and their holography.
A quick overview of some ideas I plan to explore around holography, quantum information, and maybe a bit of machine learning.