This thesis contributes to the study of income taxation. It consists of three self- contained papers. The first paper, Should Natives and Immigrants Face Different Income Tax Schedules, computes how optimal income tax schedules optimally should be differentiated between immigrants and natives. I use a calibrated optimal tax model with heterogeneous labor supply elasticities across and within groups and employ Utilitarian and Rawlsian social welfare functions. As compared to an optimal tax system that treats both groups the same, the optimal differentiated tax system increases marginal tax rates for the majority of natives, with a decrease in the marginal tax rates of immigrants. However, there is not much redistribution between the groups. ...