Some mathematical patterns are so subtle you could search for a lifetime and never find them. Others are so common that they seem impossible to avoid. A new proof by Sarah Peluse of the University of ...
Arithmetic geometry and Diophantine geometry lie at the confluence of number theory and algebraic geometry, exploring the deep connections between the arithmetic properties of numbers and the ...
The twin primes conjecture is one of the most important and difficult questions in mathematics. Two mathematicians have solved a parallel version of the problem for small number systems. On September ...