The motivating dream is to understand the geometry that underlies Number Theory and Quantum Field Theory, for instance the zeta functions, Langlands conjectures and dualities in Gauge Theory and String Theory. One aspect of this is the study of geometric objects that encode representation theoretic-information, such as flag varieties, loop Grassmannians moduli of G-bundles on curves .... My current direction can be described as (re)constructing interesting spaces from their infinitesimal pieces.