Mark Green (mathematician)

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Mark Lee Green (born October 1, 1947 in Minneapolis ) is an American mathematician who studies commutative algebra , algebraic geometry , Hodge theory, differential geometry and the theory of several complex variables. He was a professor at the University of California, Los Angeles (UCLA) and from 2001 co-founder and director of the Institute for Pure and Applied Mathematics (IPAM).

Mark Green, Berkeley 1973

Green studied at the Massachusetts Institute of Technology with a bachelor's degree in 1968 and received his PhD from Princeton University with Phillip Griffiths in 1972 (Some Picard Theorems for Holomorphic Maps to Algebraic Varieties). In 1970/71 he was a Procter Fellow at Princeton, from 1972 to 1974 he was a lecturer at the University of California, Berkeley , and from 1974/75 at MIT. In 1975 he became an Assistant Professor and in 1982 Professor at UCLA.

Green is known for speculating in the 1980s about syzygies of canonical curves. They have been partially proven by Claire Voisin .

From 1968 to 1972 he was a Woodrow Wilson Fellow and from 1976 to 1980 he was a Sloan Research Fellow . In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin (Higher Abel-Jacobi Maps).

He is a member of The Mathematical Sciences 2025 Committee of the US National Academies and is Vice-Chairman after former Caltech President Thomas Everhart . He is a Fellow of the American Academy of Arts and Sciences (2010).

Fonts

  • with Phillip Griffiths : On the tangent space to the space of algebraic cycles on a smooth algebraic variety (= Annals of Mathematics Studies. 157). Princeton University Press, Princeton NJ et al. 2005, ISBN 0-691-12043-9 .
  • with Phillip Griffiths, Matt Kerr: Mumford-Tate groups and domains. Their geometry and arithmetic (= Annals of Mathematics Studies. 183). Princeton University Press, Princeton NJ et al. 2012, ISBN 978-0-691-15425-1 .
  • with Phillip Griffiths, Matt Kerr: Hodge theory, complex geometry, and representation theory (= Regional Conference Series in Mathematics. 118). American Mathematical Society, Providence RI 2013, ISBN 978-1-4704-1012-4 .

Individual evidence

  1. ↑ Life data according to American Men and Women of Science. 2004 ISSN  from 0000 to 1287 .
  2. ↑ Mark Green in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ↑ Green: Koszul cohomology and the geometry of projective varieties. In: Journal of Differential Geometry. Vol. 19, No. 1, 1984, pp. 125-171, doi : 10.4310 / jdg / 1214438426 .
  4. ↑ David Eisenbud Green's conjecture on free resolutions and canonical curves , MSRI, pdf
  5. ^ National Academies
personal data
SURNAME Green, Mark
ALTERNATIVE NAMES Green, Mark Lee
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH October 1, 1947
PLACE OF BIRTH Minneapolis