Steven Mark Zucker (12 September 1949 – 13 September 2019) was an American mathematician who introduced the Zucker conjecture, proved in different ways by Eduard Looijenga (1988) and by Leslie Saper and Mark Stern (1990).
Zucker completed his Ph.D. in 1974 at Princeton University under the supervision of Spencer Bloch. His work with David A. Cox led to the creation of the Cox–Zucker machine, an algorithm for determining if a given set of sections provides a basis (up to torsion) for the Mordell–Weil group of an elliptic surface \( {\displaystyle E\to S} \), where S is isomorphic to the projective line.
He was part of the mathematics faculty at the Johns Hopkins University. In 2012, he became a fellow of the American Mathematical Society.[3]
Bibliography
Cox, David A.; Zucker, Steven (1979), "Intersection numbers of sections of elliptic surfaces", Inventiones Mathematicae, 53 (1): 1–44, Bibcode:1979InMat..53....1C, doi:10.1007/BF01403189, MR 0538682, S2CID 15130840
Looijenga, Eduard (1988). "L2-cohomology of locally symmetric varieties". Compositio Mathematica. 67 (1): 3–20. MR 0949269.
Saper, Leslie; Stern, Mark L2-cohomology of arithmetic varieties, Annals of Mathematics (2) 132 (1990), no. 1, 1–69. MR1059935
Zucker, Steven (1977). "The Hodge conjecture for cubic fourfolds". Compositio Mathematica. 34 (2): 199–209. MR 0453741.
Zucker, Steven (1978). "Théorie de Hodge à coefficients dégénérescents". Comptes rendus de l'Académie des Sciences. 286: 1137–1140.
Zucker, Steven (1979). "Hodge theory with degenerating coefficients: L2-cohomology in the Poincaré metric". Annals of Mathematics. 109 (3): 415–476. doi:10.2307/1971221. JSTOR 1971221.
Zucker, Steven (1982). "L2-cohomology of warped products and arithmetic groups". Inventiones Mathematicae. 70 (2): 169–218. Bibcode:1982InMat..70..169Z. doi:10.1007/BF01390727. S2CID 121348276.
References
"Remembering Steve Zucker" (PDF). Notices of the American Mathematical Society (August 2021, Volume 68 Number 7).
Wallach, Rachel (19 September 2019). "Influential Johns Hopkins math professor Steven Zucker dies at 70". Johns Hopkins University.
"List of Fellows of the American Mathematical Society". Retrieved 2013-09-01.
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