Admission and Study Requirements at the Pure Mathematics Track

Information regarding the Pure Mathematics Program

Research fields: The research fields of our faculty members include:

Master of Science

Admissions: Admission is decided on a case-by-case basis, based on academic background. Applications may be submitted twice a year.  As a rule, Applicants should:

  • Earn a cumulative average grade of 85 for their bachelor’s degree studies. Average grades between 80-85 will be discussed in the Graduate Studies Committee.
  • Complete the course “Real-valued functions” (number 104165) or an equivalent course at other institutions.
  • Complete four out of the seven following courses (or equivalent courses at other institutions):
104030 Introduction to Partial Differential Equations
104283 Numerical Analysis 1
104276 Introduction to Functional Analysis
104177 Differential Geometry
104144 Topology
104280 Modules, Classes and Fields
104274 Field theory

* Applicants who do not meet these criteria should contact our graduate coordinator & their application will be discussed in the Graduate Studies Committee.

Program Structure:

Students may choose either a research thesis or a non-research-final paper track. The latter consists of an interpretation of a specific topic based on a survey of the current literature.  In addition,

  • Students holding a three-year bachelor’s degree should complete 55 credit points during their M.Sc. studies in both the final paper and the thesis track.
  • Students holding a four-year bachelor’s degree should complete 36 credit points during their M.Sc. studies in both the final paper and the thesis track.
  • The thesis is equivalent to 20 credit points and the final paper is equivalent to 12 credit points.
  • Students holding an undergraduate degree other than Mathematics are required to complete a higher number of credit points.
  • The total number of credit points for the M.Sc. degree coming from coursework is given by the following table:
Duration of the undergraduate degree The thesis route The final paper route
3 years 35 points 43 points
4 years 16 points 24 points

Distribution of Courses:

In the first three semesters of a student’s M.Sc. studies, four courses in two out of the three following fields should be taken: Algebra, Geometry-Topology, and Analysis.  Some standard graduate courses in each field are:

  1. Algebra: Modern Algebra 1 (106380), Modern Algebra 2 (106381).
  2. Geometry-Topology: Algebraic Topology (106383), Differentiable Manifolds (106723).
  3. Analysis: Functional Analysis (106942), Function Theory 2 (106395), Partial Differential Equations (106413), Measure Theory (106378).

Additional graduate courses given by the Mathematics faculty can be found at /en/courses-for-graduates/ .

Ph.D. program

Admissions: Candidates with a master’s degree who studied at Technion or an accredited academic institution in Israel or abroad, whose average grades and the grade on the thesis paper are not lower than an 80, may apply.

Study requirements: Doctor degree (Ph.D.), is the highest academic degree awarded by the Technion. It is based on substantial research and on reaching a professional level that enables independent high-level research. Ph.D. studies last between three to four years and usually require being full time at Technion. Students devote their time mainly to research, participate in advanced seminars, and take courses according to a personal program. Students are required to submit a research proposal within eleven months and to pass a candidacy exam a month after that. During the candidacy exam, they will need to demonstrate their ability to conduct independent and original research on the research topic they have chosen. In the final year of their studies, students are required to present their work in a departmental seminar, submit their research Thesis, and pass a final oral exam. In addition, 10 credit points from coursework should be completed.  

For further information: