Arithmetic geometry of curves stands at the crossroads of algebraic geometry and number theory, offering a rigorous framework for analysing algebraic curves defined over number and finite fields ...

The short answer is that we don’t know. But many physicists, writes Jennifer Ouellette in “ How Quantum Pairs Stitch Space-Time,” have long “suspected a deep connection between quantum entanglement — ...

p-adic Integration: Integration performed within the p-adic number system, fundamental to calculating points and height pairings in the study of arithmetic curves.