Mathematics is about finding connections between different fields, and this process has been ongoing throughout history, such as the unification of geometry and number theory.

The theories that explain the universe often involve the same mathematical objects that solve mathematical problems, indicating a deep connection between the two fields.

The beauty of mathematics often lies in its simplicity, as seen in elegant equations like Euler's identity, which connects fundamental constants.

Exploring how physicists explain complex concepts can provide valuable insights for effective communication in any field.

The shift in AI development has seen a growing number of influential figures in the field coming from physics and math backgrounds, unlike 15 years ago when it was more about traditional engineering.

Mathematicians care about whether something holds true 100% of the time, unlike most fields where 99.99% suffices. This is crucial in fluid dynamics, where we need to understand if there are special initial states that could lead to blow-up scenarios.

Mathematics has a theoretical and experimental component, with recent advancements allowing for more experimental approaches in the field.

The strength of geometric algebra lies in its ability to unify various concepts in physics, including quantum mechanics and relativity, potentially offering new insights into quantum gravity.

The tools of physics are incredibly helpful for understanding and making progress in any field. First principles mean breaking things down to the fundamental elements that are most likely to be true and reasoning up from there as cogently as possible.