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Attainment of the training objectives will be pursued by means of collaborations with PhD Researchers in Italy and with research Institutions, through the completion of study periods abroad by the doctoral students and through the continuous organisation of seminars and collaborations with Italian and foreign teachers. Collaborations are provided for with public or private, national and international Organisations with which scientific collaborations are in progress (or are provided for ad hoc) on the part of the members of the College of Teachers. These collaborations will be documented by possible publications in the name of the doctoral student and anyway reported explicitly in the Doctoral Thesis.

To this purpose, arrangements have been stipulated with the following Universities, Research institutions, and companies specialised in the sector:

Exeura-spin-off University of Calabria, Italy

Istituto di Calcolo e Reti ad Alte Prestazioni del Consiglio Nazionale delle Ricerche (ICAR-CNR), Italy

Istituto Nazionale di Alta Matematica (INdAM), Rome, Italy

Jagiellonniam University, Krakow, Poland

Open University of Milton Keynes, United Kingdom

Oxford University, Oxford, United Kingdom

Technical University of Clausthal, Clausthal, Germany

Technische Universiteit Eindhoven, Eindhoven, The Netherlands

Universidad Pontificia Comillas, Madrid, Spain

Universidad de Sevilla, Sevilla, Spain

Universidade de Aveiro, Aveir, Portugal

University of Brussels, Brussels, Belgium

University of Glasgow, Glasgow, United Kingdom

University of Leipzig, Leipzig, Germany

Università "Federico II" di Napoli, Naples, Italy

Università di Bologna, Bologna, Italy

University of Technology, Wien, Austria

AGH University of Science and Technology, Krakow, Poland

Nicolaus Copernicus University, Torun, Poland

Universidade de Coruña, Coruña, Spain

University of Ioannina, Ioannina, Greece

University of Evora, Evora, Portugal

University of Maryland, USA

Inria Saclay, Palaiseau, France

Universitatea de Vest din Timisoara, Timisoara, Romania

Universidad de Castilla - La Mancha, Castilla, Spain

Alpen-Adria-Universität, Klagenfurt, Austria

Adam Mickiewicz University, Poznan, Poland

Warsaw Management University, Varsavia, Poland

Universitatea Babes Bolyai, Cluj-Napoca, Romania

Universidade de Vigo, Vigo, Spain

University of Plymouth, Plymouth, United Kingdom

Universidad de Malaga, Malaga, Spain

Pontificia Universidad Catolica de Valparaiso, Valparaiso, Cile

University of Applied Sciences Upper Austria, Wels, Austria

Universidad Autonoma de Madrid, Madrid, Spain