**Supervisors **

**and co-supervisors* at the University of Turin**

The young faculty *(ricercatori*), and colleagues from other Departments of the University of Torino (or other Universities), can be co-supervisors together with a professor from the Mathematics Department.

**Francesco Amoroso***number theory, diophantine geometry***Alessandro Ardizzoni***Hopf algebras and monoidal categories***Vivina Barutello***celestial mechanics, dynamical systems***Cristina Bertone***computer algebra, polynomial bases***Alberto Boscaggin***boundary value problems, Hamiltonian systems, celestial mechanics***Reto Buzano***geometric analysis, Ricci flow, mean curvature flow***Paolo Caldiroli***prescribed mean curvature problems, variational and perturbative methods***Marco Cappiello***microlocal analysis, evolution pde, pseudodifferential operators, Gevrey and Gelfand-Shilov spaces***Raphael Carroy**

descriptive set theory, study of definable relations and functions on analytic spaces**Cinzia Casagrande***birational geometry of projective varieties, Fano varieties***Roberto Cavoretto***kernel-based approximation methods, numerical algorithms with applications to AI and ML***Alan Cigoli***categorical algebra, category theory***Sandro Coriasco**

analysis on non-compact and singular manifolds, pseudodifferential and Fourier integral operators**Elena Cordero***time-frequency analysis, pseudodifferential and Fourier integral operators, frames, deep**learning***Alessandra De Rossi***meshfree approximation methods, numerical algorithms for AI/ML and big data***Elvira Di Nardo***first passage time problems, computing in applied probability***Lorenzo Fatibene**

conservative laws for relativistic theories and gauge theories, variational methods for field theories, Dirac equations on varieties**Andrea Ferraguti***number theory, arithmetic dynamics, applied algebra***Francesca Ferrara***mathematical imagination and semiotic activity, diagrams and (digital and non)**representations in mathematics***Anna Fino***Hermitian and G_2- geometry, geometric flows***Federica Galluzzi****Hodge theory, K3 surfaces, Brauer groups***Alessandro Iacopetti***regularity theory for the prescribed mean curvature equation in the Lorentz-**Minkowski space, surfaces of prescribed mean curvature***Elena Issoglio***stochastic differential equations with singular coefficients, McKean-Vlasov Equations, and**their numerical schemes***Ignazio Longhi****number theory, arithmetic geometry (Iwasawa theory, function field arithmetic)***Dario Martelli***mathematical structures emerging from string theory, holography, quantum field theories,**and black holes***Riccardo Moschetti****derived categories and semiorthogonal decompositions, Hurwitz spaces and monodromy***Luca Motto Ros**

descriptive set theory (classical and generalized), Borel reducibility and classification problems**Fabrizio Nieri**

exact methods in quantum field theories, algebraic/integrable structures emerging from string theory**Tommaso Pacini***complex geometry, calibrated geometry***Gianluca Paolini**

group theory, model theory, applications of descriptive set theory**Federico Polito**

fractional stochastic processes, random graphs**Alessandro Portaluri****symplectic methods in Hamiltonian dynamics, index theory and spectral flow formulae***Marco Radeschi**

rigidity in riemannian geometry, isometric group actions, singular riemannian foliations**Alberto Raffero**

G2 geometry, special geometric structures and their automorphisms**Sara Remogna***numerical methods for function and data approximation, spline and applications***Ornella Robutti***the meanings of mathematical objects, communities of mathematics teachers and**mathematics education researchers***Matteo Luca Ruggiero***gravitational theories, exact solutions of general relativity***Nicola Soave***semilinear elliptic equations: existence and rigidity, free boundary problems and nodal sets***Lea Terracini*****

number theory, Galois representations, continued fractions**Susanna Terracini***geometric theory of PDE and free boundaries, celestial mechanics and dynamical**systems***Bruno Toaldo***stochastic processes and non-local operators, anomalous transport and diffusion***Luigi Vezzoni***complex differential geometry, geometric analysis***Stefano Vita****geometric theory of PDE and free boundaries***Matteo Viale**

logic, set theory, forcing**Cristina Zucca**

direct and inverse problem for first passage times, detection algorithms**Davide Zucco***shape optimization, calculus of variations, analysis of PDE*