Geometry
Modern geometry is closely linked to other branches of mathematics and has an important function in the study of scientific phenomena.
Geometry is a branch of mathematics with a history dating back thousands of years. It emerged as a practical science to measure distances and areas, and to study symmetries. For a long time, the movement and positions of celestial bodies were an important source for geometrical studies. In the 20th century, geometry evolved to include the study of abstract, complex equations in many dimensions that cannot be reproduced graphically. However, geometry is still about solving mathematical and scientific problems by visualising mathematical connections.
Stockholm has historically been a strong environment for geometry studies. The creator of today's coordinate system, for example, the French philosopher and mathematician Descartes, operated in Stockholm in the 17th century. Today's research is carried out by the Geometry group at the Stockholm Mathematics Centre, a collaboration between Stockholm University and the Royal Institute of Technology. The Geometry group conducts basic research in three main areas:
Geometric quantisation tries to understand more about mathematical reality through the study of fundamental connections and structures. This area is linked to several branches of mathematics, including mathematical physics, algebra and number theory.
Point counting makes statistical calculations of points on geometric structures. Point counting on elliptic curves can today be used for encryption, but the University focuses on basic research in the area.
Complex geometry explores objects that are described by equations with complex numbers, such as multitudes and symmetries. There is a link to so-called tropical geometry, where problems of classical geometry are simplified without changing the solution.
Web editor:
Paul Parker
Last updated:
November 23, 2011
Source: Communications Office
