Troels Jørgensen is a Danish mathematician at

Columbia University Columbia University in the City of New York, commonly referred to as Columbia University, is a Private university, private Ivy League research university in New York City. Established in 1754 as King's College on the grounds of Trinity Churc ...

working on

hyperbolic geometry In mathematics, hyperbolic geometry (also called Lobachevskian geometry or János Bolyai, Bolyai–Nikolai Lobachevsky, Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with: :For a ...

and

complex analysis Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is helpful in many branches of mathematics, including algebraic ...

, who proved Jørgensen's inequality. He wrote his thesis in 1970 at the

University of Copenhagen The University of Copenhagen (, KU) is a public university, public research university in Copenhagen, Copenhagen, Denmark. Founded in 1479, the University of Copenhagen is the second-oldest university in Scandinavia, after Uppsala University. ...

under the joint supervision of

Werner Fenchel Moritz Werner Fenchel (; 3 May 1905 – 24 January 1988) was a German-Danish mathematician known for his contributions to geometry and to optimization theory. Fenchel established the basic results of convex analysis and nonlinear opti ...

and

Bent Fuglede Bent Fuglede (8 October 1925 – 7 December 2023) was a Danish mathematician. Early life and career Fuglede was known for his contributions to mathematical analysis, in particular functional analysis, where he proved Fuglede's theorem and sta ...

Work

He is known for Jørgensen's inequality, and for his discovery of a hyperbolic structure on certain fibered 3-manifolds which were one of the inspirations for

William Thurston William Paul Thurston (October 30, 1946August 21, 2012) was an American mathematician. He was a pioneer in the field of low-dimensional topology and was awarded the Fields Medal in 1982 for his contributions to the study of 3-manifolds. Thurst ...

's Geometrisation Conjecture. He is also credited with being one of the co-discoverers of the ordered structure of the set of volumes of hyperbolic 3-manifolds.

References

External resources

* {{DEFAULTSORT:Jorgensen, Troels Danish mathematicians Living people Year of birth missing (living people) Place of birth missing (living people) Columbia University faculty