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What does automorphic mean?

Looking for the meaning or definition of the word automorphic? Here's what it means.

Adjective
  1. (geology) Describing a mineral, in an igneous rock, that is bounded by its own crystal face; euhedral, idiomorphic
  2. (mathematics) Describing a number whose square ends in the number itself; circular
  3. (mathematics) Of or pertaining to automorphy or an automorphism
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His principal contributions have been in the theory of automorphic forms, algebraic geometry, and number theory.
Galois groups, Kac-Moody algebras, Hitchin moduli spaces, A-branes, automorphic sheaves and other concepts that are the tools of his trade are bound to challenge even the most dedicated nonmathematician.
In hydromorphic soils the EP SOC stocks were significantly larger compared with automorphic soils.
He developed a theory of automorphic functions, connecting algebraic and geometric results in his important 1884 book on the icosahedron.
Over the past century it has grown into one of the most elaborate and sophisticated branches of mathematics, interacting profoundly with other areas such as algebraic geometry and the theory of automorphic forms.

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