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Mathematical Analysis, Modelling, and Applications

Purpose of the PhD Course

The aim of the PhD Course in Mathematical Analysis, Modelling, and Applications is to educate graduate students in the fields of mathematical analysis and mathematical modelling, and in the applications of mathematical and numerical analysis to science and technology. The goal is to enable PhDs to work as high level researchers in these fields in universities, research institutes, and private companies.

This PhD Course continues in a unified way the PhD Courses in Mathematical Analysis and in Applied Mathematics, active until the academic year 2012-2013.


Research Topics

The activity in mathematical analysis is mainly focused on Dynamical Systems and PDEs, on the Calculus of Variations, on Hyperbolic Conservation Laws and Transport Problems, on Geometric Analysis and on Geometry and Control theory. Connections of these topics with differential geometry and reduced order modelling are also developed.

The activity in mathematical modelling is oriented to subjects for which the main technical tools come from mathematical analysis. The present themes are multiscale analysis, mechanics of materials, micromagnetics, modelling of biological systems, computational fluid and solid dynamics, numerical analysis and scientific computing, and problems related to control theory.

The applications of mathematics developed in this course are related to the numerical analysis of partial differential equations and of control problems. This activity is developed in collaboration with MathLab  for the study of problems coming from the real world, industrial and medical applications, and complex systems.


Admission to PhD Program

Students are selected yearly by means of an entrance examination; there are two admission sessions: spring and autumn. The latter will be activated only if there should still be places available after the former. Deadlines for the academic year 2022-2023 will be available after the publication of the call.
[PhD announcements are available here ]

The entrance examination procedure will be based on::

  • Evaluation of curriculum vitae
  • A written exam (to be held online)
  • Interview exam (to be held online)

Non-EU students' preselection will not take place anymore due to the new entrance examination procedure.

The admission process starts by registering at the page and filling out the requested form.

Important Dates and Info

Spring entrance session (exams will be online due to covid-19 emergency):
  • deadline for application: 10 February 2022
  • exams: 22-23 February 2022
  • exam commission: proff. N. Gigli (president), G. Noselli (secretary), G. Rozza, A. Braides, F. Cavalletti, A. Cangiani, A. Maspero + external member
Autumn entrance session (exams will be online due to covid-19 emergency):
  • deadline for application: 31 August 2022
  • exams: 7-8 September 2022
  • exam commission: proff. A. Agrachev (president), L. Heltai (secretary), M. Berti, S. Bianchini, G. Dal Maso, G. Noselli, L. Rizzi, G. Stabile + external member

Progress exam from 1st to 2nd and from 2nd to 3rd year:
  • date: 15 September 2022
  • exam commission: proff. S. Bianchini (president), L. Heltai (secretary), A. Cangiani, A. Braides, L. Rizzi, e Dr. G. Stabile

Progress exam from 3rd to 4th year:
  • date: 9 September 2022 in the morning
  • exam commission: proff. M. Berti (president), G. Noselli (secretary), G. Dal Maso, G. Rozza, F. Cavalletti, A. Maspero

Progress exam for H2020 EID ROMSOC program:
  • date: April
  • exam commission: Proff. G. Rozza, G. Noselli and Dr. A. Mola, F. Ballarin.

Final AMMA PhD exams:
  • date: 29 September 2022

Should you have any queries or require any further information please do not hesitate to contact us by email:


Other PhD Positions

PhD Coordinator for Mathematical Analysis, Modeling, and Applications


Former Faculty Members

Former Professors

Visiting Professors

External Collaborators

Temporary Scientific Staff

PhD Students

Fourth Year Students

Third Year Students

Second Year Students

First Year Students


Previous PhD Theses

Click here to see the previous PhD Theses.



Click here to see the regulation of this PhD course (in Italian).

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