One theorem named after this man states that an infinite series which converges only because it contains both positive and negative numbers can have its terms rearranged so that it sums to any given value. Another theorem named after this man concerns the placement of areas in the complex plane onto unit disks, and is known as his mapping theorem. He gave a famous lecture on geometry in order to earn a position in which he introduced his namesake (*) manifold. More famously, he studied a function which is the infinite sum of n to the negative s, where s can be any complex value, and hypothesized that the nontrivial zeros of that function all have real part one half. For 10 points, name this 
One theorem named after this man states that an infinite series which converges only because it contains both positive and negative numbers can have its terms rearranged so that it sums to any given value. Another theorem named after this man concerns the placement of areas in the complex plane onto unit disks, and is known as his mapping theorem. He gave a famous lecture on geometry in order to earn a position in which he introduced his namesake (*) manifold. More famously, he studied a function which is the infinite sum of n to the negative s, where s can be any complex value, and hypothesized that the nontrivial zeros of that function all have real part one half. For 10 points, name this mathematician who gives his name to a method to approximating an integral using a sum of rectangles and a zeta function.
One theorem named after this man states that an infinite series which converges only because it contains both positive and negative numbers can have its terms rearranged so that it sums to any given value.
Bernhard {Riemann}