Can someone highlight the differences between 英才【えいさい】 and 天才【てんさい】?
When searching their definitions, I see:
英才：1. genius; brilliance; unusual talent; 2. genius; brilliance; unusual talent
天才：genius; prodigy; natural gift
My current assumption is that a 天才 is a naturally born genius (genetic, hence assuming good in anything), while an 英才 is a genius is a specific, specialized (unusual?) field (assuming that genius has a talent for that field, but is not necessarily gifted in other areas). Am I correct?
I'm also curious about other words for genius and their subtleties, if you know some, eg: 異才｛いさい｝、俊士｛しゅんさい｝、春愁｛しゅんしゅう｝、奇才｛きさい}.