General Information

The Ph.D. Program offers high qualification training and research opportunities in all the research areas represented in the Department, which include Mathematical Logic, Algebra, Geometry, Mathematics Education and History of Mathematics, Mathematical Analysis, Probability and Mathematical Statistics, Mathematical Physics, and Numerical Analysis. Further information can be found in the Research Section.

The program consists of 3 years of study and research. During the program, students are required to complete 6 courses (more details below). Within the first year of enrollment, together with the Board of the Ph.D. school, students choose a research project under the supervision of one (or more) members of the Department of Mathematics.

The main goal of the Ph.D. studies is the definition and development of a scientific research line in mathematics, finalized to the achievement of original results. These results are then described in the Ph.D. thesis. All students are encouraged to spend a period of study and research abroad during their three years in the program, for up to a maximum of 12 months.

Admitted students will enjoy the vibrant scientific and academic life of the department. They will be given complete access to the departmental facilities (library, computers, etc.) and a personal desk in a shared office.


A scholarship is offered to each admitted student, which includes a salary for 3 years. The monthly neat salary of those funded by the University is currently around Euro 1.129,27. The salary can be increased up to 50% for a maximum of 12 months of research abroad. Moreover, each year a research grant is provided to each fellow, in the amount of at least 10% of the scholarship.

More info can be found at the following link.


The number of students admitted to the School varies from year to year. Usually, it is between 4 and 6.

Eligible candidates must hold a master’s degree, or acquire it within a specific deadline, typically before the beginning of the academic year.

The application window may vary from year to year and is usually in Summer. The call remains open for about 30 days. If you are interested, keep an eye on the Admissions page of the Doctoral Schools of the University of Pisa. Applications must be submitted through a centralized online procedure.

The admission procedure consists of two main steps. The first is a selection based on academic qualifications and research potential, supported by reference letters. Those who pass the first step are interviewed. The interview will be focused on the research interests of the candidate, the projects pursued during the academic career (e.g. a master’s degree thesis), and the topics therein. Winning applicants must enroll in accordance with the times and procedures communicated together with the final ranking.

Further information can be found here (in English), here and here (both in Italian).

Compulsory Courses

During the program, the Ph.D. student is required to attend 6 courses and pass the exam of 2 of them. The courses are offered by the Ph.D. program, (click here for the list offered in the current academic year and here for previous years), or can be offered by other qualified institutions, after agreement with the coordinator of the program.

Final Examination

At the end of the 3 years, students must write and defend a Ph.D. thesis. The thesis will be evaluated by two external referees, who may suggest revisions. After revision, the thesis will be defended in front of an examination committee appointed by the board of the Ph.D. program. Typically, the defense takes place between three and six months from the end of the third year. Ph.D. theses shall be written in English.

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