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; preservice and inservice mathematics teachers professional development; STEM and interdisciplinary issues in mathematics education; educational technologies, computer supported cooperative learning and elearning 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; Ktheory and Khomology; 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 coHiggs 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 3contact 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;

Donatella IACONO 
deformation theory; differential graded Lie algebras 
MATHEMATICAL ANALYSIS 

Francesco ALTOMARE 
real and functional analysis; approximation by positive operators; oneparameter 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 pLaplacian type; geodesics and trajectories in semiRiemannian 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 subriemannian setting, elliptic and subelliptic equations with critical exponents 
Alessandro PALMIERI 
semilinear hyperbolic equations; blowup techniques; critical exponents for power type nonlinearities; lifespan estimates; semilinear wave equations on curved spacetimes 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; decisionmaking 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; decisionmaking 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 parameterdependent matrices; dynamical systems; bifurcations 
Giuseppe VACCA 
polytopal numerical methods for partial differential equations; virtual element methods; divergencefree method for fluid dynamic problems; highly convection dominated problems; fluidstructure interaction problems; interpolation estimates in the presence of complex meshes; adaptivity for VEM 
PROBABILITY AND STATISTICS 

Vitonofrio CRISMALE 
quantum probability; noncommutative 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; noncommutative probability; noncommutative stochastic processes 