Steven Zucker Explained

Steven Zucker
Birth Date:	12 September 1949^[1]
Birth Place:	New York City, New York
Death Date:	^[2]
Death Place:	Baltimore, Maryland
Nationality:	American
Fields:	Mathematics
Workplaces:	Johns Hopkins University
Alma Mater:	Princeton University
Doctoral Advisor:	Spencer Bloch
Known For:	Zucker conjecture

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

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

• • Eduard. Looijenga. Eduard Looijenga. L²-cohomology of locally symmetric varieties. Compositio Mathematica. 67 . 1988. 1. 3–20. 0949269.
• Saper, Leslie; Stern, Mark L₂-cohomology of arithmetic varieties, Annals of Mathematics (2) 132 (1990), no. 1, 1–69.
• Zucker . Steven . The Hodge conjecture for cubic fourfolds . . 34 . 2. 199–209 . 1977. 0453741.
• Zucker . Steven . Théorie de Hodge à coefficients dégénérescents. Comptes rendus de l'Académie des Sciences. 286 . 1978. 1137–1140.
• Zucker . Steven . Hodge theory with degenerating coefficients: L²-cohomology in the Poincaré metric. Annals of Mathematics. 109 . 1979. 3 . 415–476. 10.2307/1971221 . 1971221 .
• Zucker . Steven . L²-cohomology of warped products and arithmetic groups. . 70 . 1982. 2 . 169–218. 10.1007/BF01390727 . 1982InMat..70..169Z . 121348276 .

External links

• • Web site: Official home page.

Notes and References

1. Web site: Remembering Steve Zucker. Notices of the American Mathematical Society (August 2021, Volume 68 Number 7) .
2. Web site: Influential Johns Hopkins math professor Steven Zucker dies at 70. Johns Hopkins University. Wallach. Rachel. 19 September 2019.
3. Web site: List of Fellows of the American Mathematical Society. 2013-09-01.