US Senator Kirsten Gillibrand told CBS' "The Late Show With Stephen Colbert" that she would file paperwork on Tuesday night to explore a run for the Democratic presidential nomination in the 2020 election.Colbert, during the taping of an episode that will air on Tuesday night, asked Gillibrand, who has been taking the steps to begin a presidential campaign, if she had anything she would like to announce."Yes," the lawmaker from New York said. "I'm filing an exploratory committee for president of the United States tonight."The formation of an exploratory committee will allow Gillibrand, 52, who is known for spearheading efforts to change how Congress handles allegations of sexual harassment and became a prominent voice in the #MeToo movement, to begin fundraising and organizing her campaign."I’m going to run for president of the United States because as a young mom I’m going to fight for other people’s kids as hard as I would fight for my own," Gillibrand said to applause.She has hired several top political aides in recent weeks, fueling speculation her jump into the 2020 fray was imminent.