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Research interests

 

ALGEBRA
Margherita BARILE
commutative algebra; history and philosophy of mathematics
Lucio CENTRONE
noncommutative algebra; Lie and Jordan algebras; algebras with polynomial identities; representation theory
Roberto LA SCALA
computational and applied algebra; cryptography; commutative and associative algebra
Vincenzo Carmine NARDOZZA
algebras with polynomial identities; algebraic combinatorics; group theory; Lie algebras; representation theory
 
COMPLEMENTARY MATHEMATICS
Eleonora FAGGIANO
digital resources in mathematics education; pre-service and in-service mathematics teachers professional development; STEM and interdisciplinary issues in mathematics education; educational technologies, computer supported cooperative learning and e-learning in mathematics; adults learning mathematics and other sciences
 
GEOMETRY
Amedeo ALTAVILLA
quaternionic analysis and geometry; complex and hypercomplex analysis and geometry; twistor geometry with special focus to algebraic cases (projective spaces, flag manifolds)
Sara AZZALI
differential geometry; interactions between topology and global analysis;  topological and geometric invariants of elliptic operators; operator algebras; K-theory and K-homology; noncommutative geometry
Mauricio BARROS CORREA JUNIOR
algebraic and complex geometry; holomorphic distributions and foliations; localization and residues of characteristic classes; moduli spaces of distributions and foliations; holomorphic Poisson geometry and co-Higgs sheaves
Francesco BASTIANELLI
algebraic geometry; projective geometry; birational properties of projective varieties
Giulia DILEO
differential geometry; geometric structures on Riemannian manifolds; almost contact and almost 3-contact metric structures; relations with complex and hypercomplex structures; connections with torsion; curvature
Maria Laura FALCITELLI
Riemannian geometry: interactions between almost contact metric and almost Hermitian manifolds;
Riemannian submersions; slant submanifolds; Ricci solitons; Riemannian solitons
Donatella IACONO
deformation theory; differential graded Lie algebras
 
MATHEMATICAL ANALYSIS
Francesco ALTOMARE
real and functional analysis; approximation by positive operators; one-parameter semigroups and linear evolution equations
Anna Maria CANDELA
variational and topological methods in nonlinear analysis; critical point theorems in Banach spaces; quasilinear modified Schrödinger equations; quasilinear elliptic problems of p-Laplacian type; geodesics and trajectories in semi-Riemannian manifolds
Mirella CAPPELLETTI MONTANO
approximation theory; positive approximation processes; semigroups of operators; functional analysis; biological models
Silvia CINGOLANI
nonlinear partial differential equations; nonlinear Schrödinger equation; quantum mechanics; quasilinear elliptic equations and systems; nonlocal operators and associated boundary value problems; variational and topological methods in nonlinear analysis; critical point theory, Morse theory in Banach spaces 
Donato FORTUNATO
variational and topological methods in nonlinear field equations; solitons; vortices
Annunziata LOIUDICE
qualitative properties of solutions to subelliptic PDEs; analysis on Lie groups: Heisenberg, Carnot groups, general homogeneous groups; functional inequalities and their extremals in the sub-riemannian setting, elliptic and subelliptic equations with critical exponents
Alessandro PALMIERI
semilinear hyperbolic equations; blow-up techniques; critical exponents for power type nonlinearities; lifespan estimates; semilinear wave equations on curved space-times and on unimodular Lie groups; harmonic analysis
Addolorata SALVATORE
variational and topological methods in nonlinear analysis; critical points theory; nonlinear ordinary differential equations; nonlinear partial differential equations; quasilinear elliptic equations and systems
Gaetano SICILIANO
variational and topological methods in nonlinear analysis; critical point theory; nonlinear partial differential equations; nonlocal problems
Giusi VAIRA
nonlinear partial differential equations; variational and topological methods in nonlinear analysis; perturbative approach to nonlinear PDEs; qualitative properties of solutions of nonlinear equations; quasilinear problems; nonlocal systems of nonlinear PDEs; conformal geometry and nonlinear problems; normalized solutions of elliptic systems; nonlinear Schrödinger equation
 
MATHEMATICAL METHODS FOR ECONOMICS, FINANCE AND ACTUARIAL SCIENCES
Carlo SGARRA
option pricing, portfolio optimization, interest rates dynamics, stochastic optimal control, stochastic calculus, stochastic volatility, jump processes, Hawkes processes, commodity markets
 
MATHEMATICAL PHYSICS
Fabio Deelan CUNDEN
random matrices; quantum theory; probability models; statistical physics; special functions; combinatorics
Arcangelo LABIANCA
foundations of continuum systems mechanics;  stability in mechanics and fluiddynamics; classical thermodynamics of irreversible processes; point cloud analysis and processing; mathematical applications of deep learning
Marilena LIGABÒ
mathematical methods in quantum mechanics; semiclassical analysis; perturbation theory; random matrices and integrable systems; partial differential equations
 
NUMERICAL ANALYSIS
Pierluigi AMODIO
numerical methods for the solution of ordinary differential equations; numerical solution of multiparameter spectral problems; numerical Integration of conservative dynamical systems; numerical solution of linear systems
Nicoletta DEL BUONO
optimization; dimensionality reduction techniques; data analysis; decision-making models and their applications; matrix decomposition
Cinzia ELIA
numerical dynamical systems; stability spectra and Lyapunov exponents; discontinuous dynamical systems
Flavia ESPOSITO
optimization; dimensionality reduction techniques; data analysis; decision-making models and their applications; matrix decomposition
Roberto GARRAPPA
numerical analysis; development of efficient numerical software; fractional differential equations; evaluation of special functions
Felice IAVERNARO
numerical Integration of conservative dynamical systems; numerical methods for the solution of ordinary differential equations; methods of lines for Hamiltonian partial differential equations; robust data fitting; history of holomorphic dynamics
Luciano LOPEZ
numerical methods for discontinuous ODEs and DAEs, event location techniques, spectral numerical methods for peridymamic models, virtual element methods for nonlocal problems
Alessandro PUGLIESE
factorization of parameter-dependent matrices; dynamical systems; bifurcations
Giuseppe VACCA
polytopal numerical methods for partial differential equations; virtual element methods; divergence-free method for fluid dynamic problems; highly convection dominated problems; fluid-structure interaction problems; interpolation estimates in the presence of complex meshes; adaptivity for VEM
 
PROBABILITY AND STATISTICS
Vitonofrio CRISMALE
quantum probability; non-commutative stochastic processes; C*-dynamical systems; operator algebras
Simone DEL VECCHIO
operator algebras; quantum probability; C*-dynamical systems; algebraic quantum field theory; conformal field theory
Maria Elena GRISETA
quantum probability; C*-dynamical systems; operator algebras; Fock spaces
Stefano ROSSI
operator algebras; C*-algebras and their representation theory; C*-dynamical systems; non-commutative probability; non-commutative stochastic processes
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