Infinity used to be the place where mathematics ran out of road, a hazy horizon rather than a mapped landscape. Now a pair of ...

Quantum theory and general relativity have long described the universe with incompatible languages, one speaking in ...

Ramanujan's pi-computing machinery exactly mirrors the necessary structure in modern physical theories (LCFTs).

By combining the language of groups with that of geometry and linear algebra, Marius Sophus Lie created one of math’s most ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms.

Teacher education often receives criticism for being too theoretical. Many students lack more training in how to teach in practice when they enter schools. They now receive this at the University of ...

The idea that reality—the universe, our world, and everything we perceive—is a simulation has fascinated philosophers and scientists for millennia, but new findings suggest that the theory, despite ...

Abstract: The paper is about formalization of Set Theory and Elementary Algebra theorems in mathematics and their proofs in a new programming language called LEAN 4 Theorem Prover. The paper describes ...

Russell has a PhD in the history of medicine, violence, and colonialism. His research has explored topics including ethics, science governance, and medical involvement in violent contexts. Russell has ...