Mathematics

• 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, a concept in singularity theory
• Singularity theory, which deals with these concepts

Complex analysis

• Essential singularity, a singularity near which a function exhibits extreme behavior
• 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), refers in dynamical and social systems to a context in which a small change can cause a large effect
• Gravitational singularity, a region in spacetime in which tidal gravitational forces become infinite
  • 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, theorems in general relativity theory about when gravitation produces singularities such as 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 operating system developed by Microsoft Research written in managed code
• Mechanical singularity, a position or configuration of a mechanism or a machine where the subsequent behavior cannot be predicted
• Technological singularity, a hypothetical moment in time when any physically conceivable level of technological advancement is attained instantaneously - up until physical limits are reached - usually as a consequence of artificial intelligence having progressed to the point where increasingly more efficient self-improvement is viable.
• Singularity (software), a container technology that does not require root permissions to run, so it is compatible with often permission-constrained High-Performance Compute (HPC) environments. It works on MacOS, Windows and Linux.

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 was the working title for The Lovers (2013 film), starring Josh Hartnett and Bipasha Basu

Literature

• Singularity (William Sleator novel), a 1985 science-fiction novel by William Sleator
• Singularity (Bill DeSmedt novel), a 2004 novel by Bill DeSmedt
• Singularity (audio drama), a 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
• Temporal singularity, or point of divergence, in speculative fiction

Music

Albums

• Singularity (Joe Morris album), 2001
• Singularity (Peter Hammill album), 2006
• Singular