Which of the following statements about copyrights is true?
(1) A thesis advisor at a graduate institute may compile their students' work and publish it as a monograph.
(2) The copyright for student essays written under the guidance of a professor during school hours belongs to the school.
(3) In principle, recording or videotaping a live performance of art is against copyright law.
(4) A work can be freely modified after the death of its author as it is no longer protected by copyright law.