La proposta del Dottorato di Ricerca in Matematica e Scienze Computazionali (Ciclo XLI) prevede n. 40 corsi che coprono le varie tematiche di ricerca che insistono nel dottorato.
La lista dei corsi della proposta è la seguente:
- Algebraic and analytical graph theory (24 ore, I e II anno)
- Algebraic groups over local fields (30 ore, I anno)
- Commutative rings and their ideals (30 ore, I e II anno)
- Interactions between Commutative Algebra, Algebraic Geometry and Combinatorics (24 ore, I e II anno)
- Introduction to the study of the space of real-valued functions with the topology of pointwise convergence (24 ore, I e II anno)
- Polynomial identities and varieties of algebras (18 ore, I anno)
- Historical origins and developments of elementary geometry in Europe in the 19th century (18 ore, I e II anno)
- Research methodologies in history and teaching of mathematics (24 ore, I e II anno)
- Nonlinear differential problems (18 ore, I anno)
- Fourier and multiresolution analysis for multidimensional data (18 ore, I anno)
- Topological methods in the study of elliptic problems (18 ore, I e II anno)
- A short introduction to variational methods and applications to PDEs (18 ore, I anno)
- Harmonic analysis (18 ore, I e II anno)
- Minimax theory and its applications (18 ore, I anno)
- p-Laplacian type operators: theory and applications (18 ore, I e II anno)
- Semi-continuous and convex functions (18 ore, I e II anno)
- Optimization and non-smooth analysis (18 ore, I e II anno)
- Probabilistic reasoning under coherence: theory and applications (18 ore, I e II anno)
- An introduction to fibering methods (18 ore, II anno)
- Nonlinear Elliptic Differential Equations (18 ore, II anno)
- Mathematical methods in applied sciences (18 ore, I e II anno)
- Modeling of mixtures with diffusion (18 ore, I anno)
- Pattern dynamics in hyperbolic reaction-advection-diffusion systems (18 ore, I e II anno)
- Rational extended thermodynamics (24 ore, I e II anno)
- Quantum mechanics and quantum transport (30 ore, I e II anno)
- Reduction methods for nonlinear wave propagation problems (18 ore, I e II anno)
- Optimization Methods for Machine Learning (18 ore, I e II anno)
- Foundations of Game Theory: Strategies, Equilibria, and Applications (18 ore, I anno)
- Numerical methods for balance laws (18 ore, I e II anno)
- Scientific Computing with Matlab (18 ore, I anno)
- Numerical Models for Differential Problems: Analysis and Algorithms (24 ore, I anno)
- Deep learning for classification of medical imaging (18 ore, II anno)
- Introduction to network science (24 ore, I anno)
- Algorithms on strings (18 ore, I anno)
- Introduction to Computational Vision (18 ore, II anno)
- Information Retrieval e Natural Language Processing (18 ore, I anno)
- Evolutionary approaches: genetic algorithms, tabu search e simulated annealing (18 ore, I e II anno)
- Combinatorics on words (24 ore, I anno e II anno)
- Introduction to Quantum Computing models (18 ore, I e II anno)
- Distributed and secure storage systems (12 ore, I e II anno)