Explore cutting-edge approaches for predicting new superconductors in this 40-minute conference talk by Julia Contreras-García from Sorbonne Université. Delve into the intersection of mathematics and chemistry, covering topics such as quantum chemistry, topological approaches, electron density, and the electron localization function. Examine the electronic structure of high-pressure metals, new bonding patterns, and their properties. Investigate hydrogen-based superconductors and learn about methods for testing periodicity in 3D, finding closed paths, and quantifying chemical bonds. Gain insights into the automatic determination and prediction of ELF values, essential for understanding and developing novel superconducting materials.