There is no such thing as a Jesuit monk; Jesuits are by definition not monks. They are religious priests or brothers.
The Jesuits have 'retreat centers' often confounded with monasteries. Although Jesuits ran some monasteries in the earlier days of their order for example : Münchsmünster Abbey was a monastery in Münchsmünster, Upper Bavaria, in the Electorate of Bavaria. It was closed in 1556 during the Protestant Reformation, and later was administered by Jesuits and then the Knights of Malta before being auctioned in 1817 and largely demolished.