I was fortunate to receive a five-year postdoctoral fellowship from the Royal Society to explore applications of geometric algebra in engineering, allowing me to focus on my research with minimal teaching responsibilities.

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

The challenge in adopting geometric algebra lies in the established use of vector calculus and linear algebra, which makes it difficult for researchers to shift to this new mathematical system.

In my research, we are keen on analyzing moving images to extract geometric objects and understand motion, which is crucial for applications like self-driving cars. Geometric algebra serves as a unifying language, simplifying complex computations in fields like computer vision, making it easier to work with concepts like rotations and translations without confusion.

While geometric algebra may not provide new capabilities beyond conventional methods, it offers a unique perspective that can inspire innovative approaches to solving geometric problems.

Geometric algebra allows for a unified approach to various fields, enabling work in rigid body dynamics, linear algebra, and quantum physics without relying on matrices or tensors.

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

Geometric algebra provides a more intuitive approach to complex mathematical concepts, allowing individuals with geometric insight but less mathematical sophistication to engage with advanced topics effectively.

There are numerous resources available for learning geometric algebra, including books by David Hestenes and others, as well as online tools and packages that facilitate its application in programming environments like Python and MATLAB.