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The primary goal of the graduate program is to cultivate students' capacity for conducting innovative mathematical research. Through close interaction with faculty, students develop independent and analytical thinking skills. Earning a PhD in mathematics at Caltech fundamentally requires submitting and gaining approval for a dissertation featuring novel research findings.
Applicants must have completed a bachelor's degree or the equivalent before beginning graduate study.
Applicants whose native language is not English and those who have had no formal instruction in English will be required to take a test to evaluate English proficiency. Please refer to "Required Tests" for a list of the GRE reporting requirements and the English proficiency exams currently accepted. The admissions committee may also consider research papers, publications and other original work.