This speciality of the Master covers some of the most interesting and advanced topics in current Mathematical Physics. The lectures focus on non-linear systems at the classical and quantum level, Field Theory (classical and especially quantum), and other classical topics, such as group theory, modern differential geometry and classical/quantum integrable systems. The speciality introduces the student to the techniques of mathematical physics with an emphasis on theoretical physics. Although this Master speciality is primarily directed at graduate students in Physics, it is also especially attractive to graduate students in Physics+Mathematics. Such a double degree is already available in some Spanish universities and has proved very successful. Students of this speciality will acquire the following specific competencies:

- Accurate use of abstract mathematical techniques.
- Knowledge in advanced non-linear physical systems (classical and quantum).
- Interpretation of the fundamental aspects of theoretical physics.

All the lectures are practical/theoretical. Each subject will be taught in __ 24 classroom hours by the corresponding lecturer__.

All students will be offered Master Thesis (TFM) topics with the aim __ publishing their work in a high-impact research journal.__ Students that successfully obtain their MSc will be well prepared to continue their scientific career in the UVa PhD programme or any other PhD programme.

The Mathematical Physics speciality is supported by three research groups, all internationally recognised in their fields, as reflected in the groups CV and their members. The research groups have outstanding success in obtaining funded research grants in competitive calls, high impact publications, and collaborations with private companies and international recognised research groups. Each research group is in charge of a set of subjects, according to their specialisation. Lectures across subjects will be coordinated and will complement each other to provide the student with a broad and strong formation in Mathematical Physics. In the last part of the Master programme, the student will have the opportunity to be integrated into one of the groups in order to do his/her Master Thesis, and orientate their research profile towards the research fields of their chosen group and their collaborators.

The research groups supporting the Mathematical Physics speciality are:

The three groups form the “*Unidad de Investigación Consolidada*” (UIC-011 Física Matemática), a Mathematical Physics network recognised as such by the local government of the Castilla y León region. The main research topics can be found here.

The Mathematical Physics UIC-network has collaboration agreements with the following private companies:

In addition the network has collaboration agreements with researchers from other institutions both in Spain and abroad, that allows the students to have short stay placements and/or do their Master Thesis in the following research centres.

## Syllabus

For more information contact Mariano del Olmo or José Manuel Izquierdo