This mathematician constructed finite-length free resolutions of graded modules in a namesake “syzygy theorem.” (15[1])Kummer theory is built on a result later stated as this mathematician’s “Theorem 90.” (15[1])The observation that applying I and V to an ideal yields its radical allowed this mathematician to generalize Zariski topology in a fundamental theorem of algebraic geometry. This namesake of a (*) “basis theorem” discovered a fundamental correspondence between zero sets and polynomial rings known as the Nullstellensatz. The continuum hypothesis opened a presentation given by this mathematician at the International Congress of Mathematicians in 1900. (10[1])For 10 points, (-5[1])name this German mathematician who listed 23 unsolved problems. ■END■ (10[1])