**Information for candidates regarding the Pure Mathematics Program**

**Research fields**: For the research fields of our faculty members see: https://web.math.technion.ac.il/site/areas/

**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. The cases where the average grade is between 80 and 85 will be discussed in the Graduate Studies Committee.
- Complete the course “Real Functions” (number 104165) or an equivalent course at other institutions.
- Complete 3 out of the following 6 courses (or equivalent courses at other institutions):

**COURSE NUMBER** |
**COURSE NAME** |

104030 |
Introduction to Partial Differential Equations |

104273 |
Introduction to Functional and Fourier Analysis* |

104177 |
Differential Geometry |

104144 |
Topology |

104280 |
Modules, Rings and Groups |

104274 |
Theory of fields |

* Or 104276 – Introduction to Functional Analysis

- The above courses, if required, have to be completed with an average grade of at least 80. The credit points for these courses will not count as the credit points required for the MSc degree.
- Applicants who do not meet the criteria above should contact the Graduate Coordinator (mathgrd@technion.ac.il, Anat) and their application will be discussed in the Graduate Studies Committee.

**Program Structure:**

Students may choose either a **research thesis** track or a **non-research final paper** track. The latter paper is supposed to be 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 57 credit points during their MSc studies in both the final paper and the thesis track.
- Students holding a four-year bachelor’s degree should complete 38 credit points during their MSc studies in both the final paper and the thesis track.
- The thesis is equivalent to 20 credit points, the final paper is equivalent to 12 credit points and the obligatory Extended English course is equivalent to 2 credit points. The rest of the credit points have to be obtained in advanced math courses offered by the Faculty of Mathematics.
- Students holding an undergraduate degree in areas other than Mathematics are required to complete a higher number of credit points.
- The total number of credit points required for the MSc degree is given in the following table:

Duration of undergrads degree |
Thesis route |
Final paper route |

**3 years** |
20 points for the thesis + 2 points for the Extended English course + 35 points for advanced math courses. |
12 points for the final paper + 2 points for the Extended English course + 43 points for advanced math courses |

**4 years** |
20 points for the thesis + 2 points for the Extended English course + 16 points for advanced math courses. |
12 points for the final paper + 2 points for the Extended English course + 24 points for advanced math courses |

**Distribution of Courses:**

In the first three semesters of M.Sc. studies, the student should choose two out of the three following fields: Algebra, Geometry-Topology and Analysis, and to study the required courses in these fields as listed below.

**Algebra:** Modern Algebra 1 (106380), Modern Algebra 2 (106381).
**Geometry-Topology**: Algebraic Topology (106383), Differentiable Manifolds (106723).
**Analysis:** Functional Analysis (106942), Partial Differential Equations (106413).

- Students who completed their undergraduate studies in other institutions, might be required to take some additional pre-required courses or ask for recognition of equivalent courses completed at other institutions.
- The full course study program for each student will be personalized by the thesis advisor or the graduate studies committee (in the final paper track).
- Additional graduate courses given by the Faculty of Mathematics can be found here.

**PhD program**

**Admissions: **The program is open to 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 80 or above. In addition, two letters of recommendation (one from the MSc studies advisor) should be submitted along with the application.

**Study requirements:** Doctor Degree (PhD) 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. PhD studies last between three to four years and usually require being full-time at Technion. PhD students are actively involved in advanced mathematical research, participate in advanced seminars, and take courses according to a personal study 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 have 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 in advanced courses should be completed.

**Instructions for the submission of a research proposal for a PhD**** thesis**

The description of the research proposal will be used as the basis for the review of candidacy and submitted to the committee through the advisor within 11 months from the commencement of the course of study, based on the following instructions:

- The name of the topic will appear in Hebrew and English.
- The scope of the proposal: about 25 pages.
__Content of the proposal __(specific instructions may be received from the Graduate Coordinator)__:__
- A review of the research background (including a review of the relevant literature).
- The objectives of the research.

The research proposal should be submitted to the Graduate Coordinator. It should pass the research ethics test__, include__ the research’s keywords__, and __be signed (on the first page) by the student’s advisor and by the Faculty Director of the Graduate Studies.

- A committee of faculty members will be appointed to review the candidacy. The review will take place within one month from the submission of the research proposal.

#### For further information:

For registration to our graduate program follow **this link**

For further information: mathgrd@technion.ac.il