Steven Kleiman

Updated on Oct 01, 2024

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Name Steven Kleiman Role Mathematician		Fields Mathematics Doctoral advisor Oscar Zariski

Born Steven Lawrence Kleiman March 31, 1942 (age 82) Boston, Massachusetts, U.S. ( 1942-03-31 ) Institutions Massachusetts Institute of Technology Alma mater Massachusetts Institute of Technology, Harvard University Doctoral students Spencer BlochDaniel GraysonGeorge KempfDan LaksovRobert LaxRagni PieneIsrael Vainsencher Books On the Inseparability of the Gauss Map Education Harvard University (1965), Massachusetts Institute of Technology (1961) Awards Guggenheim Fellowship for Natural Sciences, US & Canada Similar People Oscar Zariski, Spencer Bloch, Jean‑Pierre Serre

Steven kleiman equisingularity of germs of isolated singularities

Steven Lawrence Kleiman (born March 31, 1942) is an American mathematician.

Professional career

Kleiman is a Professor of Mathematics at the Massachusetts Institute of Technology. Born in Boston, he did his undergraduate studies at the MIT. He received his Ph.D. from Harvard University in 1965, after studying there with Oscar Zariski and David Mumford, and joined the MIT faculty in 1969. Kleiman held the prestigious NATO Postdoctoral Fellowship (1966-1967), Sloan Fellowship (1968), and Guggenheim Fellowship (1979).

Contributions

Kleiman is known for his work in algebraic geometry and commutative algebra. He has made seminal contributions in motivic cohomology, moduli theory, intersection theory and enumerative geometry. A study of academic collaborations in enumerative geometry found that he was not only the most prolific author in that area, but also the one with the most collaborative ties, and the most central author of the field in terms of closeness centrality; the study's authors proposed to name the collaboration graph of the field in his honor.

Awards and honors

In 1989 the University of Copenhagen awarded him an honorary doctorate and in May 2002 the Norwegian Academy of Science and Letters hosted a conference in honor of his 60th birthday and elected him as a foreign member. In 1992 Kleiman was elected foreign member of the Royal Danish Academy of Sciences and Letters.

In 2012 he became a fellow of the American Mathematical Society. He was an invited speaker at the International Congress of Mathematics at Nice in 1970.

Selected publications

Kleiman, Steven L. (1966), "Toward a numerical theory of ampleness", Annals of Mathematics. Second Series, 84 (3): 293–344, JSTOR 1970447, doi:10.2307/1970447 .

Kleiman, S. L. (1968), Algebraic cycles and Weil conjectures. Dix exposés sur la cohomologie des schémas, North-Holland, Amsterdam; Masson, Paris, pp. 359–386 .

Altman, I.; Kleiman, Steven L. (1970), Introduction to Grothendieck duality theory, Springer-Verlag .

Kleiman, Steven L. (1974), "The transversality of a general translate", Compositio Mathematica, 28 (3): 287–297 .

Altman, Allen B.; Kleiman, Steven L. (1980), "Compactifying the Picard scheme", Advances in Mathematics, 35 (1): 50–112, doi:10.1016/0001-8708(80)90043-2 .

Kleiman, Steven; Thorup, Anders L. (1994), "A geometric theory of the Buchsbaum-Rim multiplicity", Journal of Algebra, 167 (1): 168–231, doi:10.1006/jabr.1994.1182 .

Gaffney, T.; Kleiman, Steven L. (1999), "Specialization of integral dependence for modules", Inventiones Mathematicae, 137 (3): 541–574, doi:10.1007/s002220050335 .

References

Steven Kleiman Wikipedia

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