Interessi di ricerca

Il mio ambito di ricerca è la Teoria delle Rappresentazioni con un'attenzione particolare rivolta all'interazione tra Algebra, Geometria e Fisica Matematica nella teoria dei gruppi quantici. I miei interessi comprendono algebre di Lie, gruppi quantici, sistemi integrabili e categorificazione.

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Interessi di ricerca

1) Existence problem for special submanifolds of Einstein spaces.
2) Existence of special metrics on compact complex manifolds.
3) Analysis on manifolds and special metrics
4) Ricci flow on complex manifolds

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Interessi di ricerca

Holomorphic dynamics in one and several complex variables, especially concerning the iteration of transcendental maps.

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Interessi di ricerca

Semi-Riemannian geometry; existence, uniqueness and molteplicty results of closed geodesics geometrically distinct. Genericity of nondegenerate critical points and bumpy metric theorem on Semi-Riemannian geometry. Isometric actions on symmetric spaces of compact type and isometry actions of noncompact Lie group on compact Lorentazian manifold. Symplectic geometry, Hamiltonian actions and moment map.

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Interessi di ricerca

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Interessi di ricerca

Special structures on differentiable manifolds (in particular Cauchy-Riemann and paracomplex structures) and homogeneous spaces.

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Interessi di ricerca

a) Theory of nearrings. Study of specific classes of nearrings: for example Orthodox nearrings, A-rigid nearrings and weakly divisible nearrings. Such nearrings have provided a starting point for further study aimed at geometric-combinatorial structures (for example in building designs and codes from weakly divisible nearrings). b) Theory of groups. Asymptotic problems and probabilistic methods. Topic of research is to study the function P_G (t) that expresses the probability that t elements taken at random from a group G generate the same group. The function P_G can be expressed as Dirichlet series, and then extended by interpolation to a complex-valued function, the inverse of that function is called probabilistic zeta function of the group G.

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Interessi di ricerca

His main research interests lie in differential geometry, especially in the geometry of submanifolds in homogeneous spaces and in the study of integrable systems, by the methods of exterior differential systems and of the moving frame.

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Interessi di ricerca

My research is mainly in complex analysis, CR geometry and differential geometry. More precisely, I have studied, under appropriate convex properties of domains in C^n (convexity, C-convexity, strictly and strongly pseudoconvexity): extension of functions and analytic objects; relation between the notion of Hilbert and Kobayashi hyperbolicity.

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Interessi di ricerca

My research is in non-Kähler geometry. More precisely, I am interested in metric and cohomological aspects of (almost-)complex and symplectic manifolds with a particular focus on Hodge theory.

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Interessi di ricerca

1) Cohomological properties of almost complex manifolds;
2) Special metrics on complex manifolds;
3) D-complex structures;
4) Deformations of complex structures.

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Interessi di ricerca

My research focuses on the existence of special metrics in complex differential geometry, with a particular attention to canonical Kähler metrics induced by an holomorphic immersion into a complex space form.

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Interessi di ricerca

Il mio campo di ricerca è la geometria complessa, studio principalemte le varietà di Cauchy Riemann. I miei interessi di ricerca includono: aspetti geometrici di sottovarietà reali di varietà complesse, teoria di Lie, varietà di Cauchy-Riemann omogenee, orbite reali in varietà bandiera complesse.

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