Jennifer Rodgers is a CNN Legal Analyst, a Lecturer-in-Law at Columbia Law School, and a former federal prosecutor in the United States Attorney's Office for the Southern District of New York. The opinions expressed in this commentary are her own; view more opinion articles at CNN.

(CNN) On Thursday, we learned that Michael Cohen, President Trump's former personal lawyer, is scheduled to testify publicly on February 7 before the House Committee on Oversight and Government Reform.

Jennifer Rodgers

While Cohen did not provide any details about the subjects of his testimony, saying only that he wanted to "cooperate and provide the American people with answers" by providing a "full and credible account of the events which have transpired," there are at least three avenues of inquiry that could be pursued by committee members or volunteered by Cohen that could potentially cause President Trump and his three eldest children a whole heap of trouble.

None of these likely areas relates to topics in the heartland of Mueller's Russia probe, which will be handled by a different committee, likely in secret session, because of the ongoing nature of that investigation. So we likely won't be hearing additional details about the Trump Tower Moscow negotiations, the June 2016 Trump Tower meeting, and Cohen's role and knowledge of negotiations about the so-called "Ukrainian peace plan."

But we will likely hear a lot more than we now know about the hush-money payments made by Cohen at Trump's behest to Stormy Daniels and Karen McDougal to buy their silence in the run-up to the 2016 election.

To date, Cohen has said only that Trump directed him to make the payments and that he made the payments for the principal purpose of influencing the election. I expect that we will hear much more specific testimony about how Trump ordered Cohen to pay off these women in exchange for their silence, and Trump's comments establishing the reason behind the payoffs. And we also are likely to learn who else was in on the scheme, both at the Trump Organization and in the campaign.