Mathematical singularity, a point at which a given mathematical object is not defined or not well-behaved, for example infinite or not differentiable
Geometry
Singular point of a curve, where the curve is not given by a smooth embedding of a parameterSingular point of an algebraic variety, a point where an algebraic variety is not locally flatRational singularity, a concept in singularity theorySingularity theory, which deals with these concepts
Complex analysis
Essential singularity, a singularity near which a function exhibits extreme behaviorIsolated singularity, a mathematical singularity that has no other singularities close to itMovable singularity, a concept in singularity theoryRemovable singularity, a point at which a function is not defined but at which it can be so defined that it is continuous at the singularity
Natural sciences
Gravitational singularity, a point in spacetime in which gravitational forces cause matter to have an infinite density and zero volumeMechanical singularity, a position or configuration of a mechanism or a machine where the subsequent behavior cannot be predictedPenrose–Hawking singularity theorems, theorems in general relativity theory about when gravitation produces singularities such as black holesPrandtl–Glauert singularity, the point at which a sudden drop in air pressure occursSingularity (climate), a weather phenomenon associated with a specific calendar dateVan Hove singularity in the density of states of a material
Technology and economics
Technological singularity, a theoretical point in the development of a technological civilization
The Singularity Is Near, a 2005 non-fiction book by Ray KurzweilSingularity (operating system), an operating system developed by Microsoft Research written in managed code
Entertainment
"Singularity" (Star Trek: Enterprise), a 2002 second-season episode of Star Trek: Enterprise"Singularity", a first-season episode of Stargate SG-1Singularity (Mae album), 2007Singularity (Peter Hammill album), 2006Singularity (Robby Krieger album), 2010Singularity (William Sleator novel), a 1985 science-fiction novel by William SleatorSingularity (Bill DeSmedt novel), a 2004 novel by Bill DeSmedtSingularity (audio drama), a Doctor Who audio dramaSingularity (video game), a 2010 video game developed by Raven SoftwareSingularity 7, a graphic novel by Ben TemplesmithSingularity (film), a 2012 epic adventure film starring Josh Hartnett and Bipasha BasuSingularity (song), by Bright Eyes, written by Conor OberstEndgame: Singularity, a 2005 video game licensed under GPL
Other
Singularity University, an unaccredited school in California, USA, providing supplemental education in technology's impending singularity