When I first saw the effect of a strong magnet on a candle flame I was... well, in lack of better words to describe my facial expression: flabbergasted.
In the video I have just uploaded, I try to explain the surprising effect in three ways. Let me know, if you have other inputs that could explain the effect.
It doesn't appear to be thoroughly explained by scientists yet. Maybe because it is inherently difficult to measure inside a flame without affecting it or the probe...