The Department of Mathematics and Statistics at Saint Louis University offers graduate programs of advanced study and research leading to Master of Arts and Doctor of Philosophy degrees in mathematics. Due to the low student-faculty ratio, graduate students receive extensive individualized instruction. All mathematics Ph.D. students at SLU must complete high-level courses in algebra, analysis, topology and differential geometry. As a Ph.D. candidate, you also must pass written exams in three major fields of mathematics, plus a language exam that tests your ability to read mathematical works in French, German or Russian. The capstone is to write and defend a dissertation presenting the results of your research. The Ph.D. in mathematics prepares students for research or teaching careers in colleges, universities or industry.