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Joan Lasenby

09/17/18

@ Y Combinator

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.

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Joan Lasenby on Applications of Geometric Algebra in Engineering

@ Y Combinator

Joan Lasenby on Applications of Geometric Algebra in Engineering

09/17/18

Related Takeaways

Joan Lasenby

09/17/18

@ Y Combinator

The goal during my five-year research period was to apply geometric algebra to practical uses and basic research, exploring its potential in various applications.

Joan Lasenby

09/17/18

@ Y Combinator

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

Joan Lasenby

09/17/18

@ Y Combinator

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

Joan Lasenby

09/17/18

@ Y Combinator

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.

Joan Lasenby

09/17/18

@ Y Combinator

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.

Joan Lasenby

09/17/18

@ Y Combinator

David Hestenes revived interest in geometric algebra in the 1960s, recognizing its potential for simplifying complex mathematical concepts.

Mira Murati

09/25/23

@ a16z

I pursued my interests in math and sciences relentlessly, eventually studying mechanical engineering and working in aerospace before joining Tesla.

Jake Dyson

04/04/23

@ ainslie + ainslie Performance People

After university, I initially felt confined in the family business, so I explored other projects before returning to work on ambitious engineering projects.

Joan Lasenby

09/17/18

@ Y Combinator

Conformal geometric algebra, which extends to five-dimensional space, allows for the representation of points, lines, planes, and spheres as algebraic objects, simplifying many geometric operations.