PhD course in
Mathematical and Physical Sciences
The scientific progress grounded on the fruitful interaction of Mathematics and Physics is the motivational foundation of the PhD in Mathematical and Physical Sciences, an interdisciplinary course with research themes ranging from theoretical and formal aspects to more applied, experimental, computational and educational ones, involving each discipline on its own as well as their intersection.
The course is based at the Department of Mathematics, Computer Science and Physics of the University of Udine and is active since the XXXVII cycle (2021/22), originating from the splitting of the PhD course in Computer Science, Mathematics and Physics and resuming the tradition of the previous PhD course in Mathematics and Physics, active between the cycles XVII and XXVIII.
The training goal of the PhD course in Mathematical and Physical Sciences is to cultivate the students’ attitude to do scientific research, promoting their active preparation through innovative investigation lines under the guide of the research groups belonging to the institutions involved in the program, as well as through a network of qualified foreign collaborators, thus providing also a range of international training opportunities. At the end of the course the doctoral students will
- master the reference literature of their core topic, furthermore possessing additional knowledge about other scientific areas characterizing the course;
- collaborate in cutting-edge international projects;
- establish a mutual understanding with researchers working in related disciplines;
- have some teaching experience.
The PhD student will be assigned a supervisor who will suggest research topics and provide advice during the student’s personal development as a researcher.
The learning activity includes the fundamentals of the main disciplines, as well as more specialized and frontier topics. Classical mathematical areas such as Analysis and Geometry, Algebra and Number Theory, Numerical Analysis and Mathematical Logic extend to Operations Research, Statistics and Actuarial and Financial Mathematics. The teaching Board members’ competences in Mathematics include dynamical systems, algebraic geometry, ordinary and partial differential equations, the numerical analysis of functional equations with applications to models in epidemiology and population dynamics, continued fractions, reverse mathematics and set theory. Competences in Mathematical and Numerical Analysis, as well as in Statistics, are favorably connected to the research in Actuarial and Financial Mathematics as part of the Board expertise. Concerning the area of Physics, among the members of the Board are leading experts in Experimental Physics of Elementary Particles, Astrophysics, Sensor Technology, Physics of Matter, Physics Education, General Relativity, Physics of Biological Systems, Computational Biology and Physics of Renewable Energies.