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Madison, Wis. • A University of Wisconsin-Madison student already accused of sexually assaulting a woman in his apartment this month was charged Thursday with sexually assaulting four other women since early 2015.

Alec Cook, 20, of Edina, Minn., now faces seven counts of second-degree sexual assault, three counts of third-degree sexual assault, two counts of strangulation, two counts of false imprisonment and one count of fourth-degree sexual assault.

The complaint prosecutors filed Thursday accuses Cook of assaults dating back to March 2015. Prosecutors said one of the women was assaulted multiple times during a ballroom dancing class she was attending with Cook this past spring. The other alleged victims were a woman Cook met at a party at his apartment in March 2015; a woman he met in a human sexuality class in February; and a woman he met during a psychology class experiment in August.

Cook was charged last week with sexually assaulting a woman in his apartment the night of Oct. 12 after inviting her over after studying together.

Media reports of those charges have driven dozens of women to report to police their encounters with Cook. Officers searching Cook's apartment found a black book listing women he'd met and documenting his "sexual desires" and statements of "kill," authorities said.

Dane County Circuit Court Commissioner Brian Asmus set Cook's bail at $200,000 cash during a brief hearing Thursday. Cook made no statement at the hearing.

His attorneys, Jessa Nicholson and Chris Van Wagner, told reporters after the proceeding that they believe the ballroom assaults never happened, noting the complaint didn't cite any witnesses. The rest of the encounters, they said, were consensual. Van Wagner showed reporters a page from Cook's book with the word "Killed?" written at the top and said it's unclear what it means.

He said Cook has been vilified on social media but the prosecution's case is "just dust." Women are coming forward because they've seen social media postings about Cook and have become frightened, he said.

"He's been painted as the face of evil," Van Wagner said. "That's wrong."