Frank-Olaf Schreyer

David Eisenbud (left), Frank-Olaf Schreyer (center), Joseph Daniel Harris (right), Oberwolfach 2006

Frank-Olaf Schreyer is a German mathematician who studies algebraic geometry and algorithmic algebraic geometry.

Schreyer received his doctorate in 1983 from Brandeis University under David Eisenbud (Syzygies of Curves with Special Pencils) . He was a professor at the University of Bayreuth and has been a professor at the University of Saarland since 2002 .

He is involved in the expansion of (algorithmic) algebraic geometry and especially the syzygy theory , which goes back to David Hilbert , and developed algorithms for the computation of syzygies, promoted by his doctoral supervisor David Eisenbud .

He is a fellow of the American Mathematical Society . In 2010 he was invited speaker at the ICM in Hyderabad (India) .

Fonts

• with Wolfram Decker: On the uniqueness of the Horrocks-Mumford bundle, Mathematische Annalen, Volume 273, 1985, pp. 415-444
• Syzygies of canonical curves and special linear series, Mathematische Annalen, Volume 275, 1986, pp. 105-137
• with RO Buchweitz, Gert-Martin Greuel : Cohen-Macaulay modules on hypersurface singularities II, Inventiones mathematicae, Volume 88, 1987, pp. 165-182
• with D. Eisenbud, H. Lange, G. Martens: The Clifford dimension of a projective curve, Compositio Math., Volume 72, 1989, pp. 173-204
• A standard basis approach to syzygies of canonical curves, J. pure angew. Math., Volume 421, 1991, pp. 83-123
• Editor with Klaus Hulek, Thomas Peternell, Michael Schneider : Complex Algebraic Varieties, Lecture Notes in Mathematics, Springer Verlag 1992 (Bayreuth Conference 1990)
• with W. Decker, L. Ein: Construction of surfaces in , J. Alg. Geom., Volume 2, 1993, pp. 185-237 ${\displaystyle \mathbb {P} ^{4}}$
• with K. Ranestad: Varieties of sums of power, Journal for pure and applied mathematics, 2000, pp. 147-181
• with David Eisenbud: Sheaf Cohomology and Free Resolutions over Exterior Algebras, Arxiv 2000
• with W. Decker: Computational Algebraic Geometry Today, in: C. Ciliberto u. a. (Ed.), Application of Algebraic Geometry to Coding Theory, Physics and Computation, Kluwer 2001, pp. 65-119
• with D. Eisenbud, J. Weyman: Resultants and Chow forms via exterior syzygies, Journal of the American Mathematical Society, Volume 16, 2003, pp. 537-579
• with D. Eisenbud, G. Fløystad: Sheaf cohomology and free resolutions over exterior algebras, Transactions of the American Mathematical Society, Volume 355, 2003, pp. 4397–4426, Arxiv
• Editor with Alicia Dickenstein, Andrew Sommese : Algorithms in Algebraic Geometry, Springer 2008
• with D. Eisenbud: Betti numbers of graded modules and cohomology of vector bundles, Journal of the American Mathematical Society, Volume 22, 2009, pp. 859-888
• with David Eisenbud: Betti Numbers of Syzygies and Cohomology of Coherent Sheaves, ICM 2010, Hyderabad, Arxiv
• with Burcin Erocal u. a .: Refined Algorithms to Compute Syzygies, J. Symb. Comput., Volume 74, 2016, pp. 308-327, Arxiv

Web links

• Homepage

Individual evidence

1. ↑ Frank-Olaf Schreyer in the Mathematics Genealogy Project (English)