Undergraduate GPA: at least 2.5 on a 4.0 scale overall and at least 3.5 on a 4.0 scale for undergraduate mathematics courses Successful completion ("C" or better) of at least one semester-long undergraduate course in abstract algebra (MATH 4010 or equivalent) Successful completion ("C" or better) of at least two semester-long undergraduate courses in real analysis (MATH 4110-4120 or equivalent) Letters of Recommendation: at least three letters which indicate an expectation for success in a graduate mathematics program GRE: demonstrate potential success in a graduate mathematics program by attaining at least: 140 verbal score, 150 quantitative score, and 3.0 analytical writing score on the GRE General Examination 700 on the GRE Subject Test in Mathematics IELTS - 6.0, TOEFL iBT - 71,TOEFL PBT - 525