Mathematics Ph.D. (Ithaca)

Field of Study


Program Description

All three major subdivisions of mathematics (algebra, analysis, and geometry) are well represented at Cornell. The department is also very strong in logic, probability, statistics, numerical methods for partial differential equations, and symbolic computations, topology, and Lie theory.

Candidates are expected to obtain a broad acquaintance with the basic subjects of present-day mathematics and to be able to do research in one or more branches of mathematics. A reading knowledge of French, German or Russian must be demonstrated. Candidates must obtain some teaching experience.

Contact Information

Phone: 607 254-8993

316 Malott Hall
Cornell University
Ithaca, NY  14853

Concentrations by Subject

  • mathematics



Application Requirements and Deadlines

Application Deadlines:

Fall, Jan. 4; no spring admission

Requirements Summary:

Applicants must have completed the work for an undergraduate degree in mathematics. That work should have included a rigorous course in advanced calculus and real variable theory that will serve as an introduction to measure theory. The student should also have some familiarity with applications of advanced calculus and should have had courses in linear algebra and modern abstract algebra at an advanced level. Applicants are required to submit GRE general and mathematics subject test scores; scores need to be reported by January 15. Non-native English speaking applicants must also submit minimum TOEFL scores of Writing: 20, Listening: 15, Reading: 20, and Speaking: 22 (Internet-based test).


  • all Graduate School Requirements, including the TOEFL Exam or IELTS Academic Exam for non-native English applicants
  • TOEFL scores of Writing: 20, Listening: 15, Reading: 20, and Speaking: 22
  • three recommendations
  • GRE general test*
  • GRE subject test in mathematics*

*Due to COVID-19, GRE General and Subject Test scores will not be required or considered for fall 2022 admissions.

Learning Outcomes

The PhD program in mathematics teaches you to create and communicate mathematics. The chief requirement for the doctoral degree is to complete under the guidance of an advisor a dissertation which makes an original and substantial contribution to its subject matter. You will be expected to disseminate the main results of your dissertation in the form of journal articles and conference presentations.

We do not require you to choose a specific research area or a dissertation advisor at the outset of your graduate education. The best way to make an informed choice of a research area and to make headway in it is to gain knowledge in a number of areas of mathematics. As a beginning student you will be taking various required core courses in basic subjects. Furthermore, aside from providing research training we prepare our students for careers as professional mathematicians in a variety of settings including academia, business and government. Our aim therefore is to educate flexible and broadly knowledgeable mathematicians, and to this end we offer besides the core courses a wide selection of advanced courses and seminars.

We will help you develop the oral and written communication skills expected of a professional mathematician. You will acquire these skills in part through courses and dissertation work. Active participation in our many seminars, several of which are targeted to students, is another way to improve your presentation skills and will also ease your transition from a learner to a researcher of mathematics. In addition, many practising mathematicians are involved in teaching at some level, and that is why we require every student to undergo our teaching assistant training program and to participate in the teaching mission of the mathematics department.