# Biography:Steven Zucker

Steven Zucker | |
---|---|

Born | ^{[1]}Baltimore, MD | September 12, 1949

Died | 13 September 2019^{[2]}Baltimore, MD | (aged 70)

Nationality | American |

Alma mater | Princeton University |

Scientific career | |

Fields | Mathematics |

Institutions | Johns Hopkins University |

Doctoral advisor | Spencer Bloch |

**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 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 [math]E \to S[/math], where [math]S[/math] 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[edit]

- Cox, David A.; Zucker, Steven (1979), "Intersection numbers of sections of elliptic surfaces",
*Inventiones Mathematicae***53**(1): 1–44, doi:10.1007/BF01403189 - Looijenga, Eduard (1988). "L
^{2}-cohomology of locally symmetric varieties".*Compositio Mathematica***67**(1): 3–20. - Saper, Leslie; Stern, Mark
*L*, Annals of Mathematics (2) 132 (1990), no. 1, 1–69. MR1059935_{2}-cohomology of arithmetic varieties - Zucker, Steven (1977). "The Hodge conjecture for cubic fourfolds".
*Compositio Mathematica***34**(2): 199–209. http://www.numdam.org/item?id=CM_1977__34_2_199_0. - 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: L
^{2}-cohomology in the Poincaré metric".*Annals of Mathematics***109**: 415–476. - Zucker, Steven (1982). "L
^{2}-cohomology of warped products and arithmetic groups".*Inventiones Mathematicae***70**: 169–218.

## References[edit]

- ↑ "Steven M Zucker". Family Search. https://www.familysearch.org/ark:/61903/1:1:KTDB-91M.
- ↑ "Influential Johns Hopkins math professor Steven Zucker dies at 70". Johns Hopkins University. https://hub.jhu.edu/2019/09/19/stephen-zucker-mathematics-obituary/.
- ↑ "List of Fellows of the American Mathematical Society". http://www.ams.org/profession/fellows-list.

## External links[edit]

- Steven Zucker at the Mathematics Genealogy Project
- "Official home page". http://www.math.jhu.edu/~sz/.

*https://en.wikipedia.org/wiki/Steven Zucker was the original source. Read more*.