Jackson defeated the hostile Creeks and the Seminoles, betrayed those Creeks who helped him defeat the Red Sticks and ran many of the eastern Indians west but that doesn't qualify as genocide, not in the Hitlerian sense. He didn't want to exterminate the Indians, he just wanted to break their political power and take their land, just like every other American President from Washington to McKinley. Our greatest Indian war, the Old Northwest War, was fought under Washington but for some reason Jackson is the sin eater.
Hell, Jackson hated the British a lot more than he hated Indians. No friend of the Spanish either. Hell, he hated anyone who stood in the way of The United States--Indian, Brit, Spaniard, Whig, banker or secessionist.