The UCPH Department of Mathematical Sciences (Danish : Institut for Matematiske Fag) is a department under the Faculty of Science at the University of Copenhagen (UCPH). The department is based at the university's North Campus in Copenhagen.
The department is located in the E building of the Hans Christian Ørsted Institute, on Universitetsparken 5 in Copenhagen, Denmark.
From the founding of the University of Copenhagen in 1479, mathematics had been part of the Faculty of Philosophy. In 1850 it was moved to the new faculty of Mathematics and Natural Sciences. The Institute for Mathematical Sciences was first created in 1934 next to the Niels Bohr Institute building, when Carlsberg Foundation donated money for a building in celebration of the 450th anniversary of the University of Copenhagen in 1929. In 1963 the institute moved to its current location.
Many different branches of mathematics are being covered by the fields of interest of different researchers at the institute.
Harald Bohr, the brother of physicist Niels Bohr, is one famous alumnus of the department; his research in harmonic analysis and almost periodic functions in the 1930s laid the foundation for a huge drive in analysis. Most notably, since the 1980s the department has been a globally recognized frontrunner in functional analysis, particularly the study of operator algebras and C*-algebras. Faculty from the department who have contributed to this research include the following:
Contributing to these efforts, the department houses a center for non-commutative geometry.
Of other major research frontiers are homological algebra, and more recently - grounds have been laid for a boost in the research of algebraic topology.
Aage Niels Bohr was a Danish nuclear physicist who shared the Nobel Prize in Physics in 1975 with Ben Roy Mottelson and James Rainwater "for the discovery of the connection between collective motion and particle motion in atomic nuclei and the development of the theory of the structure of the atomic nucleus based on this connection". His father was Niels Bohr.
Niels Henrik David Bohr was a Danish physicist who made foundational contributions to understanding atomic structure and quantum theory, for which he received the Nobel Prize in Physics in 1922. Bohr was also a philosopher and a promoter of scientific research.
The Niels Bohr Institute is a research institute of the University of Copenhagen. The research of the institute spans astronomy, geophysics, nanotechnology, particle physics, quantum mechanics, and biophysics.
The Technical University of Denmark, often simply referred to as DTU, is a polytechnic university and school of engineering. It was founded in 1829 at the initiative of Hans Christian Ørsted as Denmark's first polytechnic, and it is today ranked among Europe's leading engineering institutions. It is located in the town Kongens Lyngby, 12 kilometres (7.5 mi) north of central Copenhagen, Denmark.
The University of Copenhagen is a public research university in Copenhagen, Denmark. Founded in 1479, the University of Copenhagen is the second-oldest university in Scandinavia after Uppsala University.
Commutative algebra, first known as ideal theory, is the branch of algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prominent examples of commutative rings include polynomial rings; rings of algebraic integers, including the ordinary integers ; and p-adic integers.
Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of spaces that are locally presented by noncommutative algebras of functions, possibly in some generalized sense. A noncommutative algebra is an associative algebra in which the multiplication is not commutative, that is, for which does not always equal ; or more generally an algebraic structure in which one of the principal binary operations is not commutative; one also allows additional structures, e.g. topology or norm, to be possibly carried by the noncommutative algebra of functions.
The UCPH Department of Computer Science is a department in the Faculty of Science at the University of Copenhagen (UCPH). It is the longest established department of Computer Science in Denmark and was founded in 1970 by Turing Award winner Peter Naur. As of 2021, it employs 82 academic staff, 126 research staff and 38 support staff. It is consistently ranked the top Computer Science department in the Nordic countries, and in 2017 was placed 9th worldwide by the Academic Ranking of World Universities.
The Faculty of Science at the University of Copenhagen houses 12 departments, including the Natural History Museum of Denmark. The faculty also encompasses several national and international research centres, and has a number of field stations in Denmark and Greenland, among them the university's Arctic Station in central West Greenland. The faculty's administration is housed at the university's Frederiksberg Campus.
Poul Heegaard was a Danish mathematician active in the field of topology. His 1898 thesis introduced a concept now called the Heegaard splitting of a 3-manifold. Heegaard's ideas allowed him to make a careful critique of work of Henri Poincaré. Poincaré had overlooked the possibility of the appearance of torsion in the homology groups of a space.
Tarbiat Modares University is a graduate public university located in Tehran, Iran.
The Mathematics Subject Classification (MSC) is an alphanumerical classification scheme that has collaboratively been produced by staff of, and based on the coverage of, the two major mathematical reviewing databases, Mathematical Reviews and Zentralblatt MATH. The MSC is used by many mathematics journals, which ask authors of research papers and expository articles to list subject codes from the Mathematics Subject Classification in their papers. The current version is MSC2020.
Chennai Mathematical Institute (CMI) is a higher education and research institute in Chennai, India. It was founded in 1989 by the SPIC Science Foundation, and offers undergraduate and postgraduate programmes in physics, mathematics and computer science. CMI is noted for its research in algebraic geometry, in particular in the area of moduli of bundles.
The Faculty of Mathematics and Computer Science is one of twelve faculties at the University of Heidelberg. It comprises the Institute of Mathematics, the Institute of Applied Mathematics, the School of Applied Sciences, and the Institute of Computer Science. The faculty maintains close relationships to the Interdisciplinary Center for Scientific Computing (IWR) and the Mathematics Center Heidelberg (MATCH). The first chair of mathematics was entrusted to the physician Jacob Curio in the year 1547.
Lars Hesselholt is a Danish mathematician who works as a professor of mathematics at Nagoya University in Japan, as well as holding a temporary position as Niels Bohr Professor at the University of Copenhagen. His research interests include homotopy theory, algebraic K-theory, and arithmetic algebraic geometry.
The North Campus is one of the University of Copenhagen's four campuses in Copenhagen, Denmark. It is situated just north of the city centre, across from Copenhagen's largest park, Fælledparken, and between the Østerbro and Nørrebro districts. It is home to the Faculty of Science and the Faculty of Health and Medical Sciences.
Jens Egede Høyrup, born 1943 in Copenhagen, is a Danish historian of mathematics, specializing in pre-modern and early modern mathematics, ancient Mesopotamian mathematics in particular. He is especially known for his interpretation of what has often been referred to as Old Babylonian "algebra" as consisting of concrete, geometric manipulations.
Nathalie Wahl is a Belgian mathematician specializing in topology, including algebraic topology, homotopy theory, and geometric topology. She is a professor of mathematics at the University of Copenhagen, where she directs the Copenhagen Center for Geometry and Topology.
Dan Burghelea is a Romanian-American mathematician, academic, and researcher. He is an Emeritus Professor of Mathematics at Ohio State University.
Alexandr Sergeevich Mishchenko is a Russian mathematician, specializing in differential geometry and topology and their applications to mathematical modeling in the biosciences.