Steven Zucker

{{Short description|American mathematician (1949–2019)}}

{{Infobox scientist

| name = Steven Zucker

| image =

| image_size = 150px

| caption =

| birth_date = {{Birth date|1949|9|12|df=y}}{{cite web| url=https://www.ams.org/journals/notices/202107/rnoti-p1156.pdf| publisher=Notices of the American Mathematical Society (August 2021, Volume 68 Number 7) | title=Remembering Steve Zucker}}

| birth_place = New York City, New York

| death_date = {{Death date and age|2019|9|13|1949|9|12|df=y}}{{cite web|url=https://hub.jhu.edu/2019/09/19/stephen-zucker-mathematics-obituary/|publisher=Johns Hopkins University|title=Influential Johns Hopkins math professor Steven Zucker dies at 70|last=Wallach|first=Rachel|date=19 September 2019}}

| death_place = Baltimore, Maryland

| nationality = American

| fields = Mathematics

| workplaces = Johns Hopkins University

| alma_mater = Princeton University

| doctoral_advisor = Spencer Bloch

| doctoral_students =

| known_for = Zucker conjecture

| awards =

}}

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.{{cite web|url=http://www.ams.org/profession/fellows-list|title= List of Fellows of the American Mathematical Society|access-date=2013-09-01}}

Bibliography

  • {{citation |last1=Cox|first1=David A.|authorlink1=David A. Cox|last2=Zucker |first2=Steven | title=Intersection numbers of sections of elliptic surfaces|

journal=Inventiones Mathematicae|volume= 53 |year=1979|issue=1|pages= 1–44|

doi=10.1007/BF01403189|bibcode=1979InMat..53....1C|mr=0538682|s2cid=15130840}}

  • {{cite journal |first=Eduard|last= Looijenga|author-link=Eduard Looijenga|title=L2-cohomology of locally symmetric varieties|journal= Compositio Mathematica|volume= 67 |year=1988|issue= 1|pages= 3–20| mr=0949269}}
  • Saper, Leslie; Stern, Mark L2-cohomology of arithmetic varieties, Annals of Mathematics (2) 132 (1990), no. 1, 1–69. {{MathSciNet|id=1059935}}
  • {{cite journal |last=Zucker |first=Steven | title=The Hodge conjecture for cubic fourfolds |journal=Compositio Mathematica |volume=34 |issue=2|pages=199–209 |year=1977|url=http://www.numdam.org/item?id=CM_1977__34_2_199_0 | mr=0453741}}
  • {{cite journal |last=Zucker |first=Steven | title=Théorie de Hodge à coefficients dégénérescents|journal=Comptes rendus de l'Académie des Sciences|volume=286 |year=1978|pages= 1137–1140}}
  • {{cite journal |last=Zucker |first=Steven | title=Hodge theory with degenerating coefficients: L2-cohomology in the Poincaré metric|journal= Annals of Mathematics|volume= 109 |year=1979|issue=3 |pages= 415–476|doi=10.2307/1971221 |jstor=1971221 }}
  • {{cite journal|last=Zucker |first=Steven | title=L2-cohomology of warped products and arithmetic groups|journal= Inventiones Mathematicae |volume=70 |year=1982|issue=2 |pages= 169–218|doi=10.1007/BF01390727 |bibcode=1982InMat..70..169Z |s2cid=121348276 }}

References

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