This mathematician constructed finite-length free resolutions of graded modules in a namesake “syzygy theorem.” (15[4])Kummer theory (15[1])is built on a result later stated as this mathematician’s “Theorem 90.” (15[1])The observation (15[1])that applying I and (-5[1])V to an ideal yields its radical (15[2])allowed this mathematician (-5[1])to generalize Zariski topology in a fundamental theorem of algebraic geometry. (-5[1])This namesake of a (*) “basis theorem” (10[4])discovered (10[2])a fundamental correspondence between zero sets and polynomial rings known as the (-5[2])Nullstellensatz. (10[6]-5[1])The continuum (-5[1])hypothesis (-5[1])opened (-5[1])a presentation given by this (10[1])mathematician (10[1])at the (10[1])International (10[1])Congress of Mathematicians (10[2])in 1900. (10[2])For 10 points, (-5[1])name this German mathematician who listed 23 (10[1])unsolved (10[3])problems. (10[2])■END■ (10[9]0[3])