Stephen Hawking made significant contributions to mathematics, particularly in the fields of cosmology and theoretical physics. One of his most notable achievements is his work on black hole thermodynamics, where he applied mathematical principles to understand the properties of black holes.
Hawking introduced the concept of Hawking radiation, which describes the process by which black holes can emit radiation due to quantum effects near the event horizon. This groundbreaking idea required a deep understanding of both quantum mechanics and general relativity, and it led to new mathematical formulations regarding the behavior of black holes.
Additionally, his work on the singularities in the universe, specifically presented in the Penrose-Hawking theorems, uses advanced mathematical techniques to describe how the universe began and the nature of its structure. These contributions not only influenced mathematics but also had profound implications for our understanding of the universe.