Programmed study plan


List of courses / activities for the first year

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Ph.D. courses given by external teachers 8
Advanced courses 8
Advanced mini-courses 4
Working groups 0
Reading courses 0
Other advanced courses (e.g. from the Master programme) 0
Seminars 0
Colloquia 0
Participation to International Schools 0

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The  FIRST YEAR is dedicated to training and student orientation. During the first year, our students:

  • determine their future research field

  • choose an advisor, who will supervise them during the training

  • learn the necessary techniques to approach their future research activity.

Every student is assigned a tutor (chosen among the members of the Ph.D. board) who supervises her/his training process until the final defense, defines with her/him any training activities and serves as a link between the student and the Ph.D. board. Tutors also help the student in the important choice of a thesis advisor, generally among the faculty staff of the Mathematical Department of SAPIENZA or among the lecturers who participate to the training process.

Our PhD programme offers several training options towards the necessary mathematical background to approach mathematical research:

1. PhD courses, given by external lecturers, sponsored by the PhD and funded by SAPIENZA or INdAM (8 credits)  (list of the courses held in the last three years)

2. PhD courses and mini-courses (8 and 4 credits)

3. Reading courses and/or working groups, worth a number of credits which is determined by the PhD Board. Here you can find a list of reading courses which may be activated, depending on availability of lecturers and/or expression of interest by students.

4. Advanced courses of the Master Degrees in Mathematics and Applied Mathematics, included in the list of the commutable courses which has been approved by the PhD Board; advanced courses from other master degrees, upon approval of the PhD Board.

5. Individual training programs, worth a number of credits which is determined by the PhD Board, which can also include participation to Summer and Winter Schools.
 

The training program of each student must include at least 20 credits of examinable activities, chosen among the above.

Active participation to the permanent seminars of our department is an important part of the training process. Those are 7 periodic seminars on many different topics from Pure and Applied Mathematics.



Method of choosing the subject of the thesis

Within the end of the first year, all students have to have defined their advisor.
 
The choice of a research topic is made together with the advisor, who usually proposes a problem which will lead to the PhD thesis, and who works in close connection with the student.
 
Courses given by external teachers are often an occasion to get international contacts and possibly develop a joint PhD thesis with a foreign institution.



Admission to the second year

At the end of the first year, around mid-October, the students undergo an admission exam. The students are be examined by the PhD Board  or by a Committee nominated by the Board.  

The aim of this exam is to verify that the students:  
  • attended the expected training activities and passed all the exams;  
  • attended at least one external course sponsored by the PhD programme;  
  • attended regularly the departmental seminars;  
  • defined a potential research topic for the thesis;  
  • acquired the necessary skills to approach their future research activity in the chosen field and had a qualified teacher or researcher agree to be their advisor.   
After hearing the recommendation by the tutor, the PhD Board can approve or deny admission to the second year of the programme.



List of courses / activities for the second year

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Corso esterno promosso dal dottorato 0
Seminari di settore 0
Colloqui di Dipartimento 0
Partecipazione a scuole e conferenze internazionali 0

More information

During the SECOND YEAR students work full-time on their thesis project and on their scientific development.

 
Even if they are not required to sit any further exams, it is strongly  advised that they should attend those PhD courses that are closely related to their project. Also, students are requested (without being examined) to attend any external courses sponsored by the PhD that are related to their research topic.
 
All students are strongly recommended to attend seminars and advanced courses, as well as reading courses and working groups organized by the PhD school on topics which are related to their research project. Participation to international conferences and/or schools is also strongly encouraged, as it helps students to gain visibility and be always aware of current research. The PhD school may also financially support these activities, with dedicated funds.


Method of preparation of the thesis

The preparation of a PhD thesis in Mathematics is characterized by a strong effort in individual study and research, but generally also by an intense collaboration with the advisor.
 
Many research groups within the Department are very active and we have the privilege to host regularly scientists with a high international profile. Therefore, the Department is a favourable context to develop collaborations either with other members of the Department or with external researchers (both at national and international level), which may speed up progress with the thesis.
 
Some students carry out part of their research activity in collaboration with external institutions (Enea, IAC, ISS,…) and attend their labs regularly.


Admission to the third year

At the end of the first year, around mid-October, the students undergo an admission exam. The students are be examined by the PhD Board  or by a Committee nominated by the Board.
 
The aim of this exam is to verify that the students:
  • attended at least  one external course sponsored by the PhD school;
  • attended regularly the departmental seminars;
  • advanced significantly in their research;
  • are able to expose with self-confidence their future research plans;
After hearing the recommendation by the tutor, the PhD Board can approve or deny admission to the third year of the programme.



List of courses / activities for the third year

titolocrediti
Corso esterno promosso dal dottorato 0
Seminari di settore 0
Colloqui di Dipartimento 0
Partecipazione a Conferenze internazionali 0

More information

Similarly to the second year, the THIRD YEAR is completely devoted to developing the student’s own research and to compulsory activities (e.g., attending external courses and participating to departmental seminars) or strongly recommended ones (e.g., attending specialized conferences).

 
Because this is the final year of the programme, the students need to complete their thesis and they are strongly encouraged to present their results publicly at conferences and at the departmental seminars.


Method of admission to the final examination

The students must submit their thesis before the end of the third year (October 31). The thesis is then sent to two external reviewers, appointed by the PhD Board. The reviewers submit their reports before December 15. Each report contains a detailed opinion about the results of the thesis, and a recommendation on whether admitting the student to the final exam. If a report is not positive, it also has to contain a recommendation on whether to grant an additional period of six months to improve the results of the thesis.
 
Taking into account the reports of the referees and the final report of the student, the PhD Board decides on admission to the final examination.
 
Before the final examination, students must give a seminar in one of the departmental seminar series closer to their research field.


Final examination

The final examination, with a public presentation of the results contained in the thesis, must take place before the end of February of the calendar year following the third year of the PhD programme. If an additional period of six months has been granted to improve the results of the thesis, the final examination must take place in the month of September of the calendar year following the third year of the PhD programme.
 
In order to cover all the research fields of the students who complete the PhD program, there can be more than one committee for the final examinations. Secondo me questa frase è inutile
 
The Examining Committees are nominated according to the Regolamento di Ateneo (University Rules, in Italian) and are formed by experts on the topic of the thesis. This guarantees in depth evaluation of the thesis and immediate visibility of the results therein contained in the relevant scientific community.


More details on both the requested training activities and the admission and final examinations can be found in the "Regolamento di Ateneo" (University Rules, in Italian), and in the "Regolamento Interno" (Internal Rules, in Italian).

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