Caltech's mathematics program brings together faculty, researchers, and students who have a breadth of interests and expertise in the use and analysis of numbers, and who are interested in collaborating with colleagues across fields to solve some of the most complicated problems of our time. Members of the mathematics faculty conduct research at the intersection of fields ranging from mathematical physics to geometry and topology. They are renowned for their insights in the areas of algebra and mathematical logic; have won top honors for their work in analysis, number theory, and geometry; and have authored texts about mathematical analysis that are considered foundational to the field.

Applicants are required to submit the application and supporting materials online prior to the posted deadline. Once the application has been submitted, you will not be able to modify supporting documents, so please proofread your materials thoroughly before submission. To successfully complete the online application process, you must: • Create a free account with CollegeNET to submit the application form online. • Include payment of the application fee or submit a fee waiver request. • Upload a Statement of Purpose. • Request GRE, TOEFL, and/or IELTS test scores to be sent directly to the California Institute of Technology (Institutional Code 4034). • Upload an official electronic copy of your transcripts or online grade reports issued by your college or university. Updated grade reports for terms in progress are not required. Students who have been admitted and plan to attend Caltech will be required to submit an official copy of all transcripts from the Registrar’s Office prior to enrollment. • Register three individuals from whom you will request letters of recommendation. • Upload a CV or Resume.