Steven Zucker
Steven Zucker | |
---|---|
Born | [1] | September 12, 1949
Died | 13 September 2019[2] Baltimore, Maryland | (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 , where 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[]
- ^ "Steven M Zucker". Family Search.
- ^ 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.
External links[]
Categories:
- 1949 births
- 2019 deaths
- Algebraic geometers
- Princeton University alumni
- Johns Hopkins University faculty
- Fellows of the American Mathematical Society
- 20th-century American mathematicians
- 21st-century American mathematicians
- Mathematicians from Maryland
- Scientists from Baltimore
- American mathematician stubs