thaumaturgy (THAW-muh-tuhr-jee), noun: The act or art of performing something wonderful; magic.
"A world of miracles, wherein all fabled or authentic thaumaturgy, and feats of magic, were outdone." --Carlyle, Sartor Resartus
A practitioner of thaumaturgy is a thaumaturgist or thaumaturge.
Thaumaturgus ("miracle worker") is a title given by the Roman Catholics to some saints.
Thaumaturgy comes from the Greek words for "wonder (thauma) work (ergon)."