Inspired by Stark's analytic proof of class number finiteness of a ring of integers in an algebraic number field, we give a new proof of the finiteness of the number of classes of ideals in a maximal ...

Analysis: William Rowan Hamilton's discovery of quaternions in Cabra played a revolutionary role in many of NASA's space missions When Dublin mathematician William Rowan Hamilton conjured up the ...

Irish physicist, astronomer, and mathematician Sir William Rowan Hamilton introduced quaternions, a non-commutative extension of complex numbers, on October 16, 1843. Benjamin Olinde Rodrigues had ...

Two apparently disjoint subjects discussed in the same issue – quantum uncertainty and the Riemann hypothesis – have a surprising and important mathematical connection. Louis de Branges’s purported ...