During the course of study, the student has the opportunity to delve into the aspects of pure or applied mathematics that most attract him/her, in order to become an expert in the field in which he/she feels most affinity.

The cultural and methodological diversity that characterises the course offers the opportunity both to take the path leading to mathematical research, pure or applied, and to assume roles of high responsibility in advanced scientific research projects, in the construction and computational development of mathematical models. In fact, methods and tools for the modelling and mathematical formalisation of complex problems arising in the experimental sciences, engineering, economics and other applied fields will be provided, as well as methods and tools for the numerical and analytical solution of these models.

The fields of application are also varied:

• scientific, environmental, health, industrial and financial fields;
• services, schools, research institutions and public administration;
• scientific communication;
• in all companies for whose activities the modelling of physical, natural, IT, economic-financial, social and organisational phenomena is relevant.

The special features of the education acquired, such as rigour, the scientific method and the ability to analyse and problem solving, will open up the possibility of professional careers in fields other than science and technology to the master's graduate in Mathematics.

Details on the admission procedure to the Master's Degree Programme can be found at the following link

More information on the Master's Degree Programme can be found at the following links

Information on Degree Sessions (procedures, deadlines, calendars, etc.) can be found at the following link

The Geometry and Physics path is designed to offer students of the Master’s Degree in Mathematics the fundamental knowledge and language necessary to understand and appreciate the profound interaction between these two disciplines. This connection emerges in numerous areas, including, to name a few, Simplectic Geometry, which plays a key role in the Hamiltonian formulation of Mechanics; Pseudo-Riemannian Geometry, intrinsically linked to Gravitation and the Theory of Relativity; Differential Geometry, Algebraic Topology and Algebraic Geometry, essential tools for attempting to rigorously formulate a quantum theory of gravity; and much more...

Mathematics students interested in the path will necessarily have to integrate some courses offered by the Master’s Degree in Physics into their Study Plan. The flexibility of our Master's Degree in Mathematics path makes it possible to build a complete educational itinerary, as exemplified and suggested below.

Study Plan Structure

The Geometry and Physics path can be implemented in different ways depending on whether or not you wish to emphasise the theoretical component of the path. Here are the rules for the composition of a Study Plan in the Theoretical with Applications and General Theoretical curricula.

Theoretical with Applications Curriculum

• Characterising (Table A=A1UA2)
  
  • 4 courses from Table A1
  • 2 courses from Table A2
• Additional Related (Table B)
  
  • 3 courses
• Free
  
  • 2 courses

General Theoretical Curriculum

• Characterising (Table A=A1UA2)
  
  • 5 courses from Table A1
  • 1 courses from Table A2
• Additional Related (Table B)
  
  • 3 courses
• Free
  
  • 2 courses

For the Tables, see the Education Regulations.

In conformity with these rules, the following study plans are suggested as examples.

The specialization program in Probability Theory and Applications to Economics is a study track within the Master's degree program in Mathematics. It is designed to train professionals and researchers with advanced skills in modelling and analyzing economic and financial phenomena. This program integrates a strong theoretical foundation in Mathematical Analysis and Probability with a specific focus on applications in economic and business contexts.

Professor Federica MASIERO, (e-mail: federica.masiero@unimib.it) is the current contact person of the Department for carrying out the Probability Theory and Applications to Economics Program.

Educational Objectives

The program aims to:

• Provide a solid theoretical foundation in Mathematical Analysis and Probability Theory, essential tools for understanding complex economic and financial models.
• Develop practical skills in constructing, and analyzing probabilistic models applied to financial markets, risk management, and resource optimization.
• Integrate mathematical knowledge with fundamental economic concepts, promoting an interdisciplinary education that addresses real-world challenges in the global economy.

Program Track Structure

The following courses are taught in English and coherently with the aim of the course of study, they provide a solid foundation in probability theory and mathematical analysis, with particular attention to economic and financial applications

• Stochastic Processes
  
  • Lecturer: Masiero Federica
  • Master Degree: Mathematics
  • Hours: 56
  • ECTS: 8
  • Semester: 1
• Stochastic Methods And Models
  
  • Lecturer: Orenshtein Tal
  • Master Degree: Mathematics
  • Hours: 56
  • ECTS: 8
  • Semester: 2
• Stochastic Calculus And Finance
  
  • Lecturer: Caravenna Francesco
  • Master Degree: Mathematics
  • Hours: 56
  • ECTS: 8
  • Semester: 1
• Higher Analysis
  
  • Lecturer: Felli Veronica
  • Master Degree: Mathematics
  • Hours: 56
  • ECTS: 8
  • Semester: 1
• Functional Analysis
  
  • Lecturer: Daniele Valtorta
  • Master Degree: Mathematics
  • Hours: 56
  • ECTS: 8
  • Semester: 1
• Methods of Applied Analysis
  
  • Lecturer: Garavello Mauro
  • Master Degree: Mathematics
  • Hours: 56
  • ECTS: 8
  • Semester: 2
• Mathematical Methods for Economic Analysis - Convex Analysis (This is a course that is offered in alternate years and will be delivered in the academic year 2026/27)
  
  • Lecturer: Pini Rita
  • Master Degree: Mathematics
  • Hours: 56
  • ECTS: 8
  • Semester: 2
• Mathematical Methods for Economic Analysis - Optimal Control
  
  • Lecturer: Calogero Andrea
  • Master Degree: Mathematics
  • Hours: 56
  • ECTS: 8
  • Semester: 1
• Game Theory
  
  • Lecturer: Pini Rita
  • Master Degree: Mathematics
  • Hours: 56
  • ECTS: 8
  • Semester: 2
• Derivatives
  
  • Lecturer: Bellini Fabio
  • Master Degree: Economics and Finance
  • Hours: 48
  • ECTS: 6
• Other Disciplinary Activities
  
  • Master Degree: Mathematics
  • ECTS: 2
• Non-Disciplinary Activities (language, IT skills)
  
  • ECTS: 1
• Language - Proficiency (Rosetta Stone)
  
  • ECTS: 3

Career Opportunities

Graduates will be prepared for careers in the financial sector, economic consulting, academic research, or governmental agencies. The mathematical and probabilistic skills acquired will be highly sought after in roles such as financial analysts, data scientists, risk managers, and economic consultants.

Conclusion

This program track represents a unique combination of mathematical rigor and economic applications. Thanks to its solid and interdisciplinary structure, it is aimed at ambitious students who wish to stand out in an increasingly competitive and complex professional landscape.