Several recent developments in mathematics have contributed greatly to advances in the natural sciences. Research in this program covers the five main fields of pure and applied mathematics: (1) algebra, (2) geometry, (3) analysis, (4) information science.

Graduate students in this program will select one research project in modern mathematics and conduct research under the supervision of one of the faculty advisors (see for the faculty). Students study mathematics through advanced lectures and seminars given by faculty advisors. They will be challenged with fundamental general problems as well as more focused, specific problems and become able to produce high-level research findings on pure and applied mathematics.

Requirements for the Degree Program

Two-Year Master’s Degree Program

  1. Program Requirements: Students must take a minimum of 30 units from courses in specific mathematical fields, including advanced research seminars given by faculty advisors.
  2. Master’s Degree: Candidates must acquire the units described above, submit a Master’s thesis, and pass a thesis defense to be awarded a Master’s degree.

Students who wish to continue their research and advance to the three-year doctoral program must submit an application to do so.

Three-Year Doctoral Program

  1. Program Requirements: Students must attend advanced research seminars given by research advisors.
  2. Doctoral Dissertation: Candidates shall submit a dissertation relevant to the research project of their focus. The dissertation must demonstrate that the candidate is capable of conducting research as an independent researcher. Candidates must pass a dissertation defense to be awarded a doctoral degree.

These are the standard procedures to acquire a doctoral degree. However, depending on the student’s progress, it is possible to complete the doctoral program in less than three years.