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.
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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.
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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.
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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.
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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.
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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.
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The research areas of the Mathematical Physics group are:
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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 functions, polynomial root-finding, and the theory of circuits.
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