Research List of possible research topics in Pure and Applied Mathematics Algebra and Geometry Francesco BEI L2 cohomology, spectral and index theory. Riemannian and Kahler manifolds Fabio BERNASCONI Birational geometry and MMP. Arithmetic geometry Paolo BRAVI Algebraic transformation groups Flavio D'ALESSANDRO Mathematical Aspects of Computer Science Alberto DE SOLE Lie Algebras, representation theory Simone DIVERIO Complex-analytic, differential and algebraic geometry Lorenzo FOSCOLO Riemannian manifolds with special holonomy, gauge theory, differential geometry. Marco MANETTI Lie and homotopy methods in deformation theory Gabriele MONDELLO Riemann surfaces, differential and algebraic geometry Kieran O'GRADY Hyperkähler varieties. Moduli of sheaves Federico PELLARIN Arithmetic of global fields, zeta functions and Drinfeld modules Andrea SAMBUSETTI Riemannian geometry, geometric group theory Analysis Nadia ANSINI Calculus of variations: Multiscale analysis, Evolutionary problems and Variational approach to the dynamics Isabeau BIRINDELLI Partial differential equations Vito CRISMALE Fractures and dislocation of vortices in 3d materials Piero D'ANCONA Partial differential equations, Harmonic analysis Azahara DE LA TORRE PEDRAZA Conformal Geometry and Partial Differential equations Andrea DAVINI Hamilton-Jacobi equations and weak KAM Theory Adriana GARRONI Calculus of Variations, applications to material science Fabiana LEONI Nonlinear PDEs Luca MARTINAZZI Geometric analysis, minimization problems under topological constraints Corrado MASCIA Biomathematics, differential equations, dynamical systems Claudia PINZARI Operator algebras, Noncommutative geometry Adriano PISANTE Calculus of variations and PDEs, Geometric analysis Marcello PONSIGLIONE Calculus of Variations Luca ROSSI PDEs, reaction-diffusion models in ecology and social sciences Mathematics Education and History of Mathematics Enrico ROGORA Mathematics Education and History of Mathematics Mathematical Logic Lorenzo CARLUCCI Mathematical logic Mathematical Physics Giulia BASTI Mathematical Quantum Theory, Many-Body Quantum Systems Paolo BUTTÀ Mathematical physics Guido CAVALLARO Mathematical physics, Kinetic theory, Fluid mechanics Domenico MONACO Mathematical Quantum Theory, Topological transport, Magnetic matter Sergio SIMONELLA Mathematical Physics, Statistical Mechanics, Kinetic Theory Numerical Analysis Alessandro ALLA Numerical methods for PDEs, control problems, data-driven modeling Elisabetta CARLINI Numerical Analysis of Partial Differential Equations Maria LOPEZ FERNANDEZ Numerical Analysis Silvia NOSCHESE Numerical Linear Algebra Giuseppe VISCONTI Numerical Analysis of Partial Differential Equations Probability and Statistical Mechanics Antonio AGRESTI Nonlinear parabolic stochastic PDEs, stochastic fluid mechanics Lorenzo BERTINI Interacting particle systems Vittoria SILVESTRI Random growth models, Interacting particle systems, Mixing of Markov Chains Lorenzo TAGGI Probability, Statistical Mechanics, Mathematical Physics