TOEFL Adequate command of spoken and written English is required for admission. Applicants whose first language is not English must submit an official test score from the Test of English as a Foreign Language (TOEFL). Stanford accepts only ETS (Educational Testing Service) scores.TOEFL results must be from an examination taken within the past 18 months.Stanford University requires a score of 100 (Internet)/600 (paper) for the PhD program. GRE GRE General Test Scores (self-reported)

PS Statement of Purpose (document uploaded to online application) Fee The application fee is $125, is non-refundable, and must be received by the appropriate application deadline. RL Names and contact information of your recommenders; minimum of 3, maximum of 6 (Your recommenders will receive an email with instructions for submitting their letters online.) Transcript Soft copy of transcripts/academic records (document(s) uploaded to online application) MAIL 2 hard copies of your official transcripts/academic records from each institution listed in your online application to the following address: Department of Mathematics Graduate Admissions 450 Serra Mall, Building 380 Stanford, CA 94305-2125