Department of Mathematics

Research

The faculty has participated in various international research initiatives, such as ERC, ASI, Marie Curie Grants and national projects, e.g. PRIN, and many others ➜

Several researchers have received prestigious accolades, like the Amerio Prize, the De Giorgi Prize, the Montessory-Margareth Prize from the Lincei Academy and more ➜

The Department promotes a vibrant seminar and conference programme featuring speakers of internationally recognized renown ➜

SCIENTIFIC RESEARCH GROUPS

Logic

The group in Mathematical Logic specializes in the following topics: Model theory, Non-standard methods in Ramsey theory and combinatorics, Set theory and Foundations, Arithmetics and complexity.

More details can be found on the group's page.

Algebra

The scientific activities of the group are focused on different aspects of number theory and representation theory, with ramifications and applications in Lie theory and algebraic combinatorics.

More details can be found on the group's page.

Geometry

The scientific activities of the group are focused on different aspects of Algebraic and Arithmetic Geometry, Combinatorics of Evolutionary Structures, Complex and Differential Geometry, and Geometric Topology.

More details can be found on the group's page.

Education and History

The scientific activities of this area are in two fundamental topics contained in the Italian scientific field MAT/04: mathematics education and the history of mathematics.

More details can be found on the group's page.

Analysis

The scientific activity of the group “Mathematical Analysis” is focused on different subjects in the area of Calculus of Variations, Geometric Measure Theory, Fluid Dynamics, Dispersive equations, Nonlinear Analysis, Ergodic Theory, and Dynamical Systems.

More details can be found on the group's page.

Probabily and Statistics

The scientific activity in this area has several fruitful connections with analysis and statistics, and various applications in economics, finance, physics, biology, computer science, and other sciences.

More details can be found on the group's page.

Mathematical Physics

The research areas of the Mathematical Physics group are:

  • Celestial Mechanics: mathematical theory and applications to real problems in astronomy and astrodynamics.
  • Dynamical Systems: general theory, statistical and stochastic properties, applications to other disciplines.

More details can be found on the group's page.

Numerical Analysis

The group of Numerical Analysis covers research topics from Numerical Linear Algebra, such as low-rank approximation of matrices and tensors, the numerical solution of matrix equations, the computation of matrix functionspolynomial root-finding, and the theory of circuits

More details can be found on the group's page.