“Degenerations and singularity formations play important roles in the study of differential geometry and arise naturally in multiple other areas of mathematics, including, algebraic geometry, mathematical physics, number theory and representation theory. This project concerns the geometry of singularities and has interesting connections with an array of disciplines including modeling of electromagnetic systems, gauge theory and string theory. Building on her track record, the PI plans to use effective techniques to solve a wide variety of problems and discover new and sharper analytic results. Alongside her research, the PI will engage in various outreach activities.”