Summary:

- The article discusses a new mathematical technique developed by researchers at the University of Chicago that can detect hidden deformations in complex fields, such as those found in materials science, fluid dynamics, and astrophysics.
- The technique, called "Persistent Homology," allows researchers to identify and quantify subtle changes in the structure of complex data, which can reveal important insights about the underlying physical processes.
- The researchers demonstrated the effectiveness of this approach by using it to analyze the structure of magnetic fields in a fusion reactor, revealing previously undetected deformations that could have important implications for the design and operation of fusion energy systems.