Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
 noun A mathematical object associated with group representations, often used in theoretical physics to model certain topological properties of space. Spinors resemble vectors but change sign (that is, they are multiplied by −1) when rotated 360 degrees.
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 noun algebra An element of the fundamental representation of a Clifford algebra
Etymologies
from The American Heritage® Dictionary of the English Language, 4th Edition
Examples

As spinor is a variable which has algebraic properties identical to that of angular momentum or spin.
Einstein Still Rules, Says Fermi Telescope Team  Universe Today

I have ideas that the Dbranes have spinor structure similar to electrons which constrain some of that structure in ways.
Einstein Still Rules, Says Fermi Telescope Team  Universe Today

As such the position spinor x is related to the momentum spinor p by a "motion," similar to x = x0 + vt.
Einstein Still Rules, Says Fermi Telescope Team  Universe Today

Now we consider the primary species of dark matter as the neutralino, which might be a Majorana spinor field and act as its own antimatter.

A twistor is a pair of spinors well what's a spinor?
Einstein Still Rules, Says Fermi Telescope Team  Universe Today

For gravity I turn to the Weyl tensor C_ {abcd}, which is the traceless component of Riemann curvature tensor for spacetime, and in spinor form this may be written as

The spinor solutions of the Dirac equation have positive and negative solutions, just as the quadratic equation often has positive and negative solutions.

The mass which couples the two equations is due to the Higgs field with the Yukawa Lagrangian L = barpsi H psi which in spinor components is

But then you take the commutator of two covariant derivatives acting on this spinor field and get a relation involving the Riemann tensor.

Being that the supersymmetry variation of the gravitino is the covariant derivative of the local spinor parameterizing the supersymmetry transformation, this would seem to always imply that the condition for supersymmetry is that there must exist a covariantly constant spinor field.
alexz commented on the word spinor
physics  "Other physicists figured out that this quantum state represented spin.
And the up and down degrees of freedom with direction of pointing along the angular momentum axis. We now call these component waveforms spinors"
June 22, 2017