The stability analysis of solutions to the Cahn-Hilliard equation helps understand how systems react to perturbations, particularly in the context of creating alloys.

I started my research in mathematics in Vienna, focusing on partial differential equations, which model various natural phenomena in physics and biology.

During my research, I discovered that the Cahn-Hilliard equation was used for image restoration, which involves replacing damaged parts of a digital image with suggested content from surrounding areas.

My physics has been extremely mainstream, and while some ideas may have seemed outlandish at first, they quickly caught on.

One of my early projects involved translating classical projective geometry concepts into geometric algebra, which simplified the mathematical complexity of computer vision tasks.

My husband, Anthony, became fascinated with geometric algebra, which led me to explore its applications in engineering, particularly in rotations.

Clear writing is essential in scientific papers, as demonstrated by Freeman Dyson's impactful work on quantum electrodynamics, which helped unify and clarify the contributions of other researchers.

My PhD focused on image restoration, specifically using differential equations to solve problems similar to those addressed by Photoshop's content-aware fill.

As a PhD student, the CA problem caught my eye, which I worked on a lot in my early research. It originated from a puzzle by the Japanese mathematician Soji Kato in 1918, involving a needle on a plane that needs to execute a U-turn using minimal area.