Thykkvabaearklaustur is presently a church site in
the county Alftaver, and was formerly the location of a monastery,
which was occupied from its foundation in 1168 to the Reformation in
One of the monks of this monastery in the 14th
century, Eysteinn Asgrimsson, composed the poem „Lilja", one of
Iceland’s most famous medieval devotional poems. A pillar of
columnar basalt stands where the monastery is believed to have stood.