(noun)
a trait, manner, or behavior that is odd or distinctive;
e.g. One singularity that all of them share is their love for creepy bugs.
(noun)
in physics and mathematics, a point or region at/in which a function has infinite value, especially in the context of space-time, where both of these quantities become so distorted that a body's becomes infinitely dense, just before it falls into a black hole;
e.g. The scientists are investigating the possibility of a singularity in space and time.