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 parameter
Singular point of an algebraic variety, a point where an algebraic variety is not locally flat
Rational singularity
Complex analysis
Essential singularity, a singularity near which a function exhibits extreme behaviour
Isolated singularity, a mathematical singularity that has no other singularities close to it
Movable singularity, a concept in singularity theory
Removable 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
Singularity (system theory), in dynamical and social systems, a context in which a small change can cause a large effect
Gravitational singularity, in general relativity, a point in which gravity is so intense that spacetime itself becomes ill-defined
Initial singularity, a hypothesized singularity of infinite density before quantum fluctuations caused the Big Bang and subsequent inflation that created the Universe
Penrose–Hawking singularity theorems, in general relativity theory, theorems about how gravitation produces singularities such as in black holes
Prandtl–Glauert singularity, the point at which a sudden drop in air pressure occurs
Singularity (climate), a weather phenomenon associated with a specific calendar date
Van Hove singularity in the density of states of a material
Technology
Singularity (operating system), an experimental operating system developed by Microsoft Research
Mechanical singularity, a position or configuration of a mechanism or a machine where the subsequent behavior cannot be predicted
Singularity (software), a container technology that does not require root permissions to run
Futurology
Technological singularity, a hypothetical point in time when technological growth becomes uncontrollable and irreversible
Arts and entertainment
Film and television
"Singularity", a first-season episode of Disney's So Weird
"Singularity" (Star Trek: Enterprise), a second-season episode of Star Trek: Enterprise
"The Singularity" (Agents of S.H.I.E.L.D.), a third-season episode of Agents of S.H.I.E.L.D.
"Singularity", a first-season episode of Stargate SG-1
The Singularity (film), a 2012 documentary about the technological singularity
Singularity (2017 film), American science fiction film starring John Cusack
Singularity, the working title for The Lovers, starring Josh Hartnett and Bipasha Basu
Godzilla Singular Point, a 2021 Japanese anime surrounding Godzilla
Literature
Singularity (Sleator novel), a 1985 science-fiction novel by William Sleator
Singularity (DeSmedt novel), a 2004 novel by Bill DeSmedt
Singularity (audio drama), a 2005 Doctor Who audio drama
Singularity 7, a graphic novel by Ben Templesmith
The Singularity Is Near, a 2005 book by Ray Kurzweil on the technological singularity
Singularity (comics), the Marvel Comics character
Music
Albums
Singularity (Joe Morris album), 2001
Singularity (Peter Hammill album), 2006
Singularity (Mae album), 2007
Singularity (Robby Krieger album), 2010
Singularity (Northlane album), 2013
Singularity (Jon Hopkins album), 2018
Singularity, a 2014 EP by Lemaitre
The Singularity (Phase I – Neohumanity), 2014 album by Swedish metal band Scar Symmetry
Songs
"Singularity" (song), performed by V of the South Korean group BTS from their 2018 album Love Yourself: Tear
"Singularity", by Jon Hopkins on the 2018 album Singularity
"Singularity", by Caligula's Horse on the 2011 album Moments from Ephemeral City
"Singularity", by Textures on the 2011 album Dualism
"Singularity", by Born of Osiris on the 2011 album The Discovery
"Singularity", by Steve Aoki & Angger Dimas featuring My Name Is Kay from It's the End of the World as We Know It, 2013
"Singularity", by Tesseract on the 2013 album Altered State
"Singularity", by New Order on the 2015 album Music Complete
"Singularity", by Devin Townsend on the 2019 album Empath
"The Singularity", by Doctor Steel on the 2002 album People of Earth
People
Singularity, stage name of Grey's Kyle Trewartha
Video games
Singularity (video game), a 2010 video game developed by Raven Software
Endgame: Singularity, a 2005 video game
Organizations
Singularity University, a California Benefit Corporation part think-tank, part business incubator, based on Ray Kurzweil's theory of technological singularity
Machine Intelligence Research Institute (MIRI), formerly "The Singularity Institute for Artificial Intelligence" (SIAI)