Kimball studies elections and interest group lobbying in the United States. His election research examines election administration and the impact of election laws and institutions on voters. His interest group research examines the impact of lobbying on public policy and the political agenda. He has worked with the Brennan Center for Justice on a series of reports promoting better designed ballots and other election materials. He has served as an expert witness in several court cases involving voting rights. He worked with FairVote to produce a report for the Justice Department on the use of cumulative voting in Port Chester, New York. Finally, Kimball helped draw new district boundaries for the St. Louis County Council in 2012.