<p>Here’s a story my professor told me. It helped me, it might help you as well:</p>
<p>While he was doing his PhD in Statistics, he applied to over 200 internships did not receive a job offer (or even an interview) from any of the firms. Every single one of his colleagues had either interviewed or had already landed a job. Him and his adviser started asking around as to why he did not receive any call backs. It turns out that HR departments were throwing out his resume/application solely because they did not want to deal with his visa status (he was on a student visa at the time). Him and his adviser circumvented the HR department and talked directly to the supervisor of one of the projects he applied for. The supervisor read his resume and thought it was outrageous that HR had not contacted this guy. He interviewed, and they offered him a job on the spot.</p>
<p>TLDR: Keep trying, circumvent HR, network with people in the company. Repeat.</p>