Anders Björner
Encyclopedia
Anders Björner is a Swedish
professor of mathematics
, Department of Mathematics, Royal Institute of Technology
, Stockholm
, Sweden
. His research interest is combinatorics
, as well as the related areas of algebra, geometry, topology, and computer science.
His other positions include director of the Mittag-Leffler Institute
and editor-in-chief of Acta Mathematica
Anders Björner is a recognized expert in algebraic
and topological combinatorics
.
Anders Björner is a 1983 recipient of the Pólya Prize
, and is a member of the Royal Swedish Academy of Sciences
since 1999.
Sweden
Sweden , officially the Kingdom of Sweden , is a Nordic country on the Scandinavian Peninsula in Northern Europe. Sweden borders with Norway and Finland and is connected to Denmark by a bridge-tunnel across the Öresund....
professor of mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
, Department of Mathematics, Royal Institute of Technology
Royal Institute of Technology
The Royal Institute of Technology is a university in Stockholm, Sweden. KTH was founded in 1827 as Sweden's first polytechnic and is one of Scandinavia's largest institutions of higher education in technology. KTH accounts for one-third of Sweden’s technical research and engineering education...
, Stockholm
Stockholm
Stockholm is the capital and the largest city of Sweden and constitutes the most populated urban area in Scandinavia. Stockholm is the most populous city in Sweden, with a population of 851,155 in the municipality , 1.37 million in the urban area , and around 2.1 million in the metropolitan area...
, Sweden
Sweden
Sweden , officially the Kingdom of Sweden , is a Nordic country on the Scandinavian Peninsula in Northern Europe. Sweden borders with Norway and Finland and is connected to Denmark by a bridge-tunnel across the Öresund....
. His research interest is combinatorics
Combinatorics
Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size , deciding when certain criteria can be met, and constructing and analyzing objects meeting the criteria ,...
, as well as the related areas of algebra, geometry, topology, and computer science.
His other positions include director of the Mittag-Leffler Institute
Mittag-Leffler Institute
The Mittag-Leffler Institute is a mathematical research institute located in Djursholm, a suburb of Stockholm. It invites scholars to participate in year-long or half-year programs in specialized mathematical subjects...
and editor-in-chief of Acta Mathematica
Acta Mathematica
Acta Mathematica is a journal publishing original research papers in all fields of mathematics. The journal was founded by Gösta Mittag-Leffler in 1882 and is published by Institut Mittag-Leffler, a research institute for mathematics belonging to the Royal Swedish Academy of Sciences...
Anders Björner is a recognized expert in algebraic
Algebraic combinatorics
Algebraic combinatorics is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algebra....
and topological combinatorics
Topological combinatorics
The discipline of combinatorial topology used combinatorial concepts in topology and in the early 20th century this gradually turned into the field of algebraic topology....
.
Anders Björner is a 1983 recipient of the Pólya Prize
Pólya Prize (SIAM)
The Pólya Prize is a prize in mathematics, awarded by the Society for Industrial and Applied Mathematics. First given in 1969, the prize is named after Hungarian mathematician George Pólya...
, and is a member of the Royal Swedish Academy of Sciences
Royal Swedish Academy of Sciences
The Royal Swedish Academy of Sciences or Kungliga Vetenskapsakademien is one of the Royal Academies of Sweden. The Academy is an independent, non-governmental scientific organization which acts to promote the sciences, primarily the natural sciences and mathematics.The Academy was founded on 2...
since 1999.
Books
- Oriented MatroidOriented matroidAn oriented matroid is a mathematical structure that abstracts the properties of directed graphs and of arrangements of vectors in a vector space over an ordered field...
s (with Michel Las Vergnas, Bernd SturmfelsBernd SturmfelsBernd Sturmfels is a Professor of Mathematics and Computer Science at the University of California, Berkeley.He received his PhD in 1987 from the University of Washington and the Technische Universität Darmstadt...
, N. White and Günter M. ZieglerGünter M. ZieglerGünter M. Ziegler is a German mathematician. Ziegler is known for his research in discrete mathematics and geometry, and particularly on the combinatorics of polytopes.- Biography :...
), Cambridge University Press, 1993. Second Edition 1999, 560 pages. ISBN 0-521-77750-X - Combinatorics of Coxeter GroupsCoxeter groupIn mathematics, a Coxeter group, named after H.S.M. Coxeter, is an abstract group that admits a formal description in terms of mirror symmetries. Indeed, the finite Coxeter groups are precisely the finite Euclidean reflection groups; the symmetry groups of regular polyhedra are an example...
(with F. Brenti), Graduate Texts in MathematicsGraduate Texts in MathematicsGraduate Texts in Mathematics is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The books in this series, like the other Springer-Verlag mathematics series, are yellow books of a standard size...
, Vol. 231, Springer-Verlag, New York, 2005, 367 pages. ISBN 3-540-44238-3 - Chapter "Topological Methods" in Handbook of Combinatorics, (eds. Ronald L. Graham, M. Grötschel and László LovászLászló LovászLászló Lovász is a Hungarian mathematician, best known for his work in combinatorics, for which he was awarded the Wolf Prize and the Knuth Prize in 1999, and the Kyoto Prize in 2010....
), North-Holland, Amsterdam, 1995, pp. 1819–1872.