Analysis

People

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Nicola Abatangelo

Senior assistant professor (fixed-term)

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Simonetta Abenda

Associate Professor

keywords: integrable Hamiltonian Systems, exact solutions, asymptotic behaviour of solutions in space time, direct and inverse

Paolo Albano

Full Professor

keywords: viscosity solutions, Hamilton-Jacobi equations, analytic hypoellipticity
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Jawad Ali

PhD Student

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Nicola Arcozzi

Full Professor

keywords: potential theory, spaces of holomorphic functions, integral inequalities
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Andrea Bonfiglioli

Full Professor

keywords: Carnot Groups, Sub-Laplacians, Campbell-Baker-Hausdorff formula, Potential Theory, Stratified Groups, Homogeneous
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Michelangelo Cavina

Research fellow

Teaching tutor

keywords: Potential theory, Holomorphic function spaces, Integral inequalities

Gregorio Chinni

Junior assistant professor (fixed-term)

keywords: Analytic and Gevrey Hypoellipticity for sums of squares, Global regularity for sums of squares defined on the torus,
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Simone Ciani

Junior assistant professor (fixed-term)

keywords: Partial Differential Equations, Calculus of Variations
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Eleonora Cinti

Associate Professor

keywords: Elliptic nonlocal equations, nonlocal minimal surfaces, fractional mean curvature flow

Giovanna Citti

Full Professor

keywords: Analysis in Lie groups and subriemannian structures, surfaces in subriemannian setting, subelliptic equations,
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Giovanni Eugenio Comi

Senior assistant professor (fixed-term)

keywords: divergence-measure fields, Gauss-Green formulas, fractional Sobolev spaces, fractional gradient
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Giovanni Cupini

Full Professor

keywords: Elliptic equations, Calculus of variations
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Giovanni Dore

Full Professor

keywords: Wentzell boundary conditions, Elliptic problems, Functional calculus, Maximal regularity
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Serena Federico

Junior assistant professor (fixed-term)

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Fausto Ferrari

Full Professor

keywords: Measures of curvatures, Carnot-Charathéodory distance, Free boundary problems, Carnot groups, Elliptic and Subelliptic

Matteo Franca

Associate Professor

keywords: Radial solutions, Singular solutions, Critical and supercritical Elliptic equations, Fowler transformation,

Mattia Francesco Galeotti

Junior assistant professor (fixed-term)

keywords: PDEs, visual cortex, differential geometry, sub-Riemannian geometry, contact structures, PDEs on cortical models
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Gianluca Giacchi

PhD Student

keywords: Harmonic Analysis, Complex Analysis, Compressed Sensing Theory for MRI

Loredana Lanzani

Full Professor

keywords: harmonic analysis; one and several complex variables; elliptic equations
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Giacomo Lucertini

PhD Student

Teaching tutor

keywords: Stochastic Differential Equation (SDE), Partial Differential Equation (PDE), Fundamental solution

Martino Lupini

Full Professor

keywords: Descriptive Set Theory, Category Theory, Homological Algebra, Algebraic Topology, Operator Algebra, Ergodic Theory,

Vittorio Martino

Associate Professor

keywords: Geometric and nonlinear analysis
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Annamaria Montanari

Full Professor

keywords: Fully nonlinear degenerate elliptic PDE's, Subelliptic PDE's, SubRiemannian structures

Marco Mughetti

Associate Professor

keywords: sums of squares of vector fields, hypoellipticity, a priori estimates, pseudodifferential operators
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Alberto Parmeggiani

Full Professor

keywords: Geometric analysis of PDEs, Solvability, Lower-bound estimates, Spectral theory
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Andrea Pascucci

Full Professor

keywords: Stochastic analysis, Stochastic (ordinary and partial) differential equations, Hypoelliptic equations,
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Maria Carla Tesi

Associate Professor

keywords: mathematical models of AD, Carnot groups, differential forms, compensated compactness, homogenization, statistical
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Davide Tramontana

PhD Student

Teaching tutor

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Eugenio Vecchi

Senior assistant professor (fixed-term)

keywords: Local and nonlocal elliptic PDEs, Qualitative properties of solutions, Geometric analysis