TOEFL All applicants for whom English is a second language must also submit official TOEFL scores of 79 or higher on the internet-based test, 213 or higher on the computer-based test, or 550 or higher on the paper-based test for verification of English proficiency.  IELTS English proficiency can also be met by submitting official IELTS scores of at least 6.5 overall band score from the academic module exam.  GRE The general Graduate Record Exam (GRE) is required. Test registration and information about the exam can be found at www.gre.org.Recent (within three years) GRE scores (only the general exam is required) .

PS Cover letter to math department including any information you believe will help process your application. Please indicate in this letter whether you are interested in a GTA position, Fee Applicants must include a $60 (U.S. currency) nonrefundable application processing fee. RL Letters of recommendation (at least two, preferably three).https://sharepoint.louisville.edu/sites/SIGS/Documents/grad-rec.pdf Transcript Official transcripts from each college attended are required of all degree-seeking students, even if no credit was earned. Final transcripts with degrees posted will be required to finalize admissions in degree status.Unofficial or faxed copies will not be accepted. Applicants to nondegree or certificate programs are only required to submit official transcripts certifying at least a bachelor’s degree