The Ph.D. Course in Mathematical Models for Engineering, Electromagnetics and Nanosciences is aimed at preparing young graduated students to perform theoretical and applied research in the fields of mathematics, electromagnetics and material sciences.
MATHEMATICAL MODELS: In particular, as far as the curriculum in Mathematical Models for Engineering is concerned, the most important aim of this Doctoral Program is to provide an intense mathematical preparation for young people coming from scientific and technological backgrounds and, at the same time, to provide young mathematicians with an opening to new questions from applied frameworks. This Doctoral Program is organized as follows. The student must attend six courses (20-30 hours each one), usually three in the first year (the basic ones) and three in the second year (the advanced ones). At the beginning of the first two years, the student will submit a plan of the courses that he/she would like to take, choosing between the School\'s courses and other possible courses of interest to him/her. The School must approve the plan. The courses offered by the School will be taught by Professors in the Doctoral Program or coming from other Italian or foreign Universities or Research Centers. At the end of each course, the student must take a short oral exam. Conferences and minicourses on specific applied subjects are also generally scheduled. The third year is completely devoted to the final discussion (thesis), which will deal with developments of theoretical aspects related to real problems or with new uses of these methods in applied contexts. Experiences in foreign Universities or Research centers and internships with companies are strongly encouraged. ELECTROMAGNETICS: The curriculum in Electromagnetics prefers to directly include the students in research groups of the Departments that support scientifically the Ph.D. course performing research in electromagnetics at a highly and internationally recognized level. The Ph.D. students are individually assigned a specific research topic for the three-year course, during which they get acquainted with the many and rapidly evolving techniques adopted in the study of different problems under the guidance of supervisors. In parallel with the research activity, the students must attend specific courses in the first year, didactic seminars, given by both Italian and foreign experts working in the field. Scientific stays abroad are also promoted, to let the students attend conferences and schools, as well as laboratories and research centers where topics close to those assigned to them are being studied.
Three programs of studies are available: Applied Electromagnetics, comprising applications of electromagnetics in the frequency spectrum between industrial and optical frequencies - Electrophysical Sciences, comprising physics and the relevant technologies - Tests of Materials, comprising the use of acoustic, electromagnetic, electro-optical nuclear, optical, and thermal techniques. NANOSCIENCES: Main objective of the curriculum in Material Sciences is the training of Philosophy Doctors expert in the field of new advanced materials and nanosciences. In the last few years, material science has developed worldwide, owing to the huge interest in materials with peculiar properties, suited for the most varied applications, ranging from electronics to sensors and devices, from the chemical to the physical sciences and to the biological applications, from building to motor or aviation industry, just to quote a few significant examples. It is therefore important to train researchers possessing a good balance of base knowledge and applicative skills, as it is nowadays required from industries and enterprises operating with everyday more advanced technologies, with a constant innovation perspective. Materials science with particular attention to the development of advanced materials on the nanometric scale is present in different fields, such as chemistry, physics, chemical-physics of hybrid organic-inorganic systems, electronics, applied mathematics, crystallography. The research groups mainly based in the Physics and Chemistry Departments of the "La Sapienza" University of Rome boast several high scientific skills at the international level in such fields, and the participation of Ph.D. students in these experimental groups constitutes one of the main issues of their education. Integral part of their education are also the specific courses and lectures given in the first year of study, the participation to international schools in Italy and abroad, and the active role that the Ph.D. students must get within the research groups.