Formative program

Stable offer of a course or thematic seminar for each of the programme's lines of research of a minimum duration of 30 hours, of which a minimum of 20 will take the form of a course and the remainder, where appropriate, of specialised conferences. On a regular basis, the seminars offered will be:

• Course on differential equations, dynamic systems and singularities (30h).
• Course on commutative algebra and singularities (30h).
• Course on numerical analysis, dynamic systems and modelling (30h).
• Course on statistical methods and operations research (30h).

The specific subject matter (within each line of research) and the lecturers in charge will be established annually. The lecturers responsible for each course will certify at the end of the course the student's degree of achievement following the evaluation criteria they deem appropriate and which will include, at least, the attendance control of the course. The timetable for the seminars will take into account the availability of part-time students in order to make it easier for them to follow the course.

Offer of one or two intensive periods (1 or 2 weeks each) in the classic format of "thematic schools" or "summer courses" with the inclusion of several intensive thematic courses. Some of the courses included in this section may be included in some of those offered in section A1.

Organised by the Programme itself through IMUVA, at least one thematic school will be offered annually. This section may also include activities organised in this format in different national and international contexts by different organisations (Thematic Networks such as EACA, RET, ALAMA, MatSI, NFAAS, DANCE, EWORSAE, ERCIM,...). those organised on a regular or sporadic basis by IMUVA Research Groups such as the Ibero-American Seminar, YMIS, SANTOUVAL and International Schools organised in prestigious international Institutes and Centres (CIMPA, Luminy, Oberwolfach, .... ).

In any case, the catalogue of activities contemplated in section A2 will be drawn up in advance by the Academic Committee (including, where appropriate, proposals from the different research groups) and publicised sufficiently in advance to facilitate the participation of doctoral students, especially part-time students.

This section includes seminars and conferences of a general nature organised regularly at the IMUVA and which offer a general overview of the research being carried out at the Institute or topics of scientific interest relevant to it. This section also includes transversal training activities organised within the framework of the Doctoral School of the University of Valladolid which, in the opinion of the Academic Committee, may be of interest to the Doctoral Programme in Mathematics due to their subject matter.

This is articulated through the "Doctoral Seminar", organised on a regular basis, in which students present their work and which facilitates debate both with IMUVA researchers and with other doctoral students. This seminar, as well as allowing students to acquire the necessary experience in the presentation and discussion of results, is also conceived as a means of monitoring their progress. It will also include seminars, conferences or activities requested by the students themselves. It will be programmed by the doctoral students themselves, preferably those in their third year, under the supervision of their tutors. This is an activity that seeks the co-responsibility of the students both in their own training and in the organisation of research activities, as well as fostering a framework of interdisciplinary collaboration between them. In addition to attendance, students' active participation in the seminar will be valued and, in any case, they must present their results at least once before submitting their doctoral thesis.

The Academic Committee plays a role in the recognition, promotion and accreditation, where appropriate, of the experiences described above, which, on an individual basis, will naturally be coordinated by each tutor or thesis supervisor.