The adverb currently is almost always unnecessary. It usually just restates information already conveyed through verb tenses and can be dropped with no loss of meaning. Consider these examples:
A 31-year-old Pennsylvania man is currently in stable condition after leaping off a Manhattan-bound Staten Island Ferry yesterday evening. [Gothamist]
The Denver Zoo is currently training three of its gorillas to be the newest members of the Great Ape Heart Project. [Denver Post]
Sarah Palin, theoretically the Tea Party powerhouse, currently ranks ninth. [Daily Caller]
The Rockets currently have an overall record of 19-6 and 11-1 in the MAC. [Ball State Daily News]
Applications are currently being accepted for the annual Max Nuscher Award. [The Mercury]
In each case, the removal of currently would have no effect on the sentence’s meaning.
But currently can be useful when contrasting current conditions with past or future conditions—for example:
St. Peter’s currently has 105 students, and enrollment was expected to drop to fewer than 95 students in September. [NY Times]
But such instances are relatively rare.