Frank-Olaf Schreyer is a German mathematician, specializing in algebraic geometry and algorithmic algebraic geometry. Schreyer received in 1983 his PhD from

Brandeis University , mottoeng = "Truth even unto its innermost parts" , established = , type = Private research university , accreditation = NECHE , president = Ronald D. Liebowitz , pro ...

with thesis ''Syzgies of Curves with Special Pencils'' under the supervision of

David Eisenbud David Eisenbud (born 8 April 1947 in New York City) is an American mathematician. He is a professor of mathematics at the University of California, Berkeley and Director of the Mathematical Sciences Research Institute (MSRI); he previously serve ...

. Schreyer was a professor at

University of Bayreuth A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, the ...

and is since 2002 a professor at

Saarland University Saarland University (german: Universität des Saarlandes, ) is a public research university located in Saarbrücken, the capital of the German state of Saarland. It was founded in 1948 in Homburg in co-operation with France and is organized in si ...

. He is involved in the development of (algorithmic) algebraic geometry advanced by David Eisenbud. Much of Schreyer's research deals with syzygy theory and the development of algorithms for the calculation of syzygies. In 2010 he was an invited speaker (jointly with David Eisenbud) at the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...

Hyderabad Hyderabad ( ; , ) is the capital and largest city of the Indian state of Telangana and the ''de jure'' capital of Andhra Pradesh. It occupies on the Deccan Plateau along the banks of the Musi River (India), Musi River, in the northern part ...

.Schreyer, F. O., & Eisenbud, D. (2011)
Betti numbers of syzygies and cohomology of coherent sheaves
In ''Proceedings of the International Congress of Mathematicians, August 2010, Hyderabad'' (ICM 2010) (In 4 Volumes) Vol. II, pp. 586-602 In 2012 he was elected a Fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

Selected publications

* * * *with D. Eisenbud, H. Lange, G. Martens
The Clifford dimension of a projective curve
Compositio Math., vol. 72, 1989, pp., 173–204 *A standard basis approach to syzygies of canonical curves, J. reine angew. Math., vol. 421, 1991, pp. 83–123 *as editor with Klaus Hulek, Thomas Peternell, Michael Schneider: Complex Algebraic Varieties, Lecture Notes in Mathematics, Springer Verlag 1992 (Konferenz Bayreuth 1990) *with W. Decker, L. Ein: Construction of surfaces in

\mathbb P^4

, J. Alg. Geom., vol. 2, 1993, pp. 185–237 *with K. Ranestad: Varieties of sums of power,

Journal für die reine und angewandte Mathematik ''Crelle's Journal'', or just ''Crelle'', is the common name for a mathematics journal, the ''Journal für die reine und angewandte Mathematik'' (in English: ''Journal for Pure and Applied Mathematics''). History The journal was founded by Augus ...

, 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 et al. (eds.), 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 The ''Journal of the American Mathematical Society'' (''JAMS''), is a quarterly peer-reviewed mathematical journal published by the American Mathematical Society. It was established in January 1988. Abstracting and indexing This journal is abstr ...

, vol. 16, 2003, pp. 537–579 *with D. Eisenbud, G. Fløystad: Sheaf cohomology and free resolutions over exterior algebras, Transactions of the American Mathematical Society, vol. 355, 2003, pp. 4397–4426
Arxiv
*as editor with Alicia Dickenstein, Andrew J. Sommese
Algorithms in Algebraic Geometry
Springer 2008 *with D. Eisenbud: Betti numbers of graded modules and cohomology of vector bundles,

, vol. 22, 2009, pp. 859–888 *with David Eisenbud: Betti Numbers of Syzygies and Cohomology of Coherent Sheaves, ICM 2010, Hyderabad
Arxiv
*with Burcin Erocal et al.: Refined Algorithms to Compute Syzygies, J. Symb. Comput., vol. 74, 2016, pp. 308–327
Arxiv

References

{{DEFAULTSORT:Schreyer, Frank-Olaf Living people 20th-century German mathematicians 21st-century German mathematicians Brandeis University alumni Academic staff of the University of Bayreuth Academic staff of Saarland University Algebraic geometers Fellows of the American Mathematical Society Year of birth missing (living people)