Has his share of entries in the "controversies" section of the wiki page linked earlier.

Fired the field hockey HC, Tracey Griesbaum, spurring a protest by her players. On basis of anonymous allegations of abuse that journalists were unable to substantiate ( though that obviously doesn't mean they didn't happen). The whole story is eye opening.

Fueling this outcry was a growing concern that at Iowa, female coaches were losing ground. Barta had forced out five female coaches in six years. The place that was once a model for gender equity was starting to look a lot like the rest of the country.
. . .
Barta replaced two of the five female coaches he ousted with men – and paid those men 25 percent more than their female predecessors. For the three he replaced with other women, he paid those women 13 percent less, according to public salary data. By comparison, when Barta replaced male coaches with other men, he paid the new male coaches 10 percent more.

The Iowa women’s teams have not enjoyed much success under Barta’s administration. While women’s teams earned 27 Big Ten titles during Grant’s 27-year tenure, they have earned only four in the 10 years since Barta took over – three of the four from the field hockey team under Tracey Griesbaum.

Under Grant, women coached an average of nearly 80 percent of the women’s teams. Under Barta, women coach six of the 12 teams, the lowest in Iowa’s history.

. . .

Iowa long remained an outlier, impervious to the decline in female coaches nationwide after Title IX. Under Barta, it quickly has played catch-up. Now Iowa provides a modern example of how female coaches have lost control of college sports.

. . .

The tension became acute under Gary Barta, who took over in 2006. The local newspaper detailed how female coaches with losing records got fired, while male coaches who weren’t winning retained their jobs. The women’s gymnastics coach spoke out about the lack of resources for her program, and she said Barta told her to “not do that again” or risk being fired, according to a lawsuit against the school. When female coaches wanted to bring up concerns about equal facilities, media resources and coaching opportunities, they went to Tracey Griesbaum.

. . .

Not all the female coaches believe that Barta has treated them unfairly.

“Since I’ve been at Iowa, everything has been very positive,” said Megan Menzel, the women’s golf coach since 2011. “Any time that I’ve had any issues that I need to bring forward, my voice has been heard.”

But the coaches Barta forced out said they looked to Griesbaum because she had some security: She had earned the most Big Ten titles of any women’s team coach and had a long history at the university. Her willingness to speak out, Griesbaum and her supporters say, is what really led to her ouster.

Over the last three months, Reveal from The Center for Investigative Reporting reached out to 60 of Griesbaum’s players, hoping to find one who complained or thought the allegations of verbal abuse or forcing athletes to play injured were justified. Twenty-four agreed to speak, but none had anything negative to say about Griesbaum.

Interesting to compare to his treatment of men's coaches:

In 2011, Griesbaum’s supporters often point out, 13 football players were hospitalized after an excruciating practice. Doctors diagnosed them with rhabdomyolysis, a condition commonly caused by overexertion in which muscle cells burst and spill their contents into the bloodstream. The school’s investigation found no wrongdoing.

Three months later, the coach in charge of that practice was awarded assistant coach of the year. In January, the university paid one of the hospitalized players $15,000 to settle a lawsuit he filed claiming physical and emotional harm.

In response to Griesbaum’s firing, Ackers and three other field hockey players – Dani Hemeon, Natalie Cafone and Jessy Silfer – filed a civil rights complaint against the University of Iowa alleging a violation of Title IX. It’s rare, if not unprecedented, for a student to file a complaint on behalf of a coach. In their complaint, they say that by taking away Griesbaum, the university denied the female student athletes their most valuable resource. They claim Griesbaum was fired for reasons that a male coach never would be fired.

Iowa eventually settled suits brought by Griesbaum and her partner, who also worked for the athletic department and says she was retaliated against for speaking up, for $6.5 million: