Research Groups
Main research topics of the group refer to: variational methods for image segmentation and inpainting; shape optimization: geometricfunctional inequalities, optimal partitions; free discontinuity problems; noncoercive minimum problems in continuum mechanics; free boundary problems associated to variational inequalities; convex analysis and control problems. Spectral analysis of scalar operators and functional calculus based on holomorphic functions theory are cornerstones of Functional Analysis with many applications to the theory of differential equations. Since 2006 a new spectral theory was introduced (based on the notion of Sspectrum) for vectorvalued operators, providing a hyperholomorphic vector functional calculus that allows to introduce a new class of fractional diffusion problems.
 Calculus of Variations.
 Variational methods for image segmentation and inpainting.
 Dimension reduction in nonlinear elasticity and recession functional.
 Shape optimization problems and geometricfunctional inequalities.
 Free discontinuity problems.
 Optimal partitions.
 Hyperholomorphic functional calculus and spectral decomposition of vector linear operators.
 Fractional powers of vectorvalued operators and new classes of problems related to fractional diffusion.
1  TOMARELLI Franco  PO 
2  CAROCCIA Marco  RTDA 
3  CAVAGNARI Giulia  RTDA 
4  COLOMBO Fabrizio  PO 
5  FRAGALÀ Ilaria  PO 
6  LAENG Enrico  PA 
7  MALUTA Elisabetta  PA 
8  MARCHIONNA Clelia  PA 
9  PIOVANO Paolo  RTDB 
10  SOMAGLIA Jacopo  RTDA 
Purpose of the research group is to to treat various topics ranging from algebraic geometry and complex geometry to representation theory, problems in graph theory, algebraic and enumerative combinatorics and computational topics in commutative algebra. The applications vary in several directions among which image recognition, image processing, code theory, signal processing, neurosciences.
 mathematical analysis applied to mechanical systems
 complex analysis techniques and transforms (Fourier, Laplace,…)
 ordinary and partial differential equations
 geometric analysis and Riemannian geometry
 nonlinear diffusion
1  GAZZOLA Filippo  PO 
2  ABATANGELO Laura  RTDB 
3  ARIOLI Gianni  PO 
4  BIAGI Stefano  RTDA 
5  BOCCHI Edoardo  Assegnista 
6  BRAMANTI Marco  PO 
7  CATINO Giovanni  PA 
8  CIPRIANI Fabio  PO 
9  FALOCCHI Alessio  RTDA 
10  GARRIONE Maurizio  RTDB 
11  GRILLO Gabriele  PO 
12  MURATORI Matteo  RTDB 
13  NORIS Benedetta  RTDB 
14  PAVANI Raffaella  PA 
15  PUNZO Fabio  PA 
16  SOAVE Nicola  RTDB 
17  SPERONE MARTÌ Gianmarco Silvio  RTDA 
1  PIEROTTI Dario  PA 
2  BORRELLI William  RTDB 
3  CERUTTI Cristina  PA 
4  DI CRISTO Michele  PA 
5  GIULIANI Filippo  RTDB 
6  IANNELLI Angela  RC 
7  MONTICELLI Dario  PA 
8  VERZINI Gianmaria  PA 
NUMERICAL APPROXIMATION OF PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS 
COORDINATOR QUARTERONI ALFIO

The group activity focuses on numerical modeling applied to problems arising from Engineering, Physics, Biomedicine, Earth Sciences. Large part of the activity is carried out within the MOX Laboratory (http://mox.polimi.it) and in particular the activity group numeth@mox (http://numeth.mox.polimi.it). From the applicative side, we deal with biomedical applications (http://bio.mox.polimi.it), computational geosciences (http://compgeo.mox.polimi.it), environmental applications and industrial mathematics (http://fluids.mox.polimi.it), electronic devices and bioelectronics (http://www1.mate.polimi.it/~ricsac/research.html).
Numerical analysis, Scientific computing and data processing, Applications of mathematics in science, Applications of mathematics in industry and society life
1  QUARTERONI Alfio  PO 
2  ANTONIETTI Paola Francesca  PO 
3  BONAVENTURA Luca  PA 
4  DE FALCO Carlo  RTDB 
5  DEDÈ Luca  PA 
6  FORMAGGIA Luca  PO 
7  MANZONI Andrea  RTDB 
8  MAZZIERI Ilario  RTDB 
9  MICHELETTI Stefano  PA 
10  MIGLIO Edie  PA 
11  PAROLINI Nicola  PA 
12  PEROTTO Simona  PA 
13  SACCO Riccardo  PA 
14  SCOTTI Anna  RTDB 
15  VERANI Marco  PA 
16  VERGARA Christian  PA 
17  ZUNINO Paolo  PO 
The research activities are devoted to innovative didactics techniques and tools for the dissemination of mathematics (for instance MOOCs) and to the relationships of Mathematics with a variety of fields which include, for instance, architecture, art, theater, astronomy, cultural heritage, history and philosophy of science.
1  MAGLI Giulio  PO 
2  BRUNETTO Domenico  RTDB 
3  EL SKAF Rawad  RTDA 
4  VALENTE GIOVANNI  PA 
The Nicola Bruti Liberati Quantitative Finance Laboratory (QFinLab) is a high level center for training, research and collaboration with the industry in quantitative finance: asset management, risk management, derivative valuation. It is also active in the field of financial education, through the MOOC "Finance for All" and the activities on the website www.imparalafinanza.it, and in the field of new technologies and regulation analysis, with the dedicated website www.finriskalert.it
The group has expertise in all areas of Quantitative Finance, which includes all applications of quantitative financial instruments (maths, statistics, computational methods) with applications ranging from valuation of derivatives to risk management, portfolio management, and financial product structuring.
1  BARUCCI Emilio  PO 
2  BAVIERA Roberto  RTDB 
3  GRASSETTI Francesca  RTDA 
4  MARAZZINA Daniele  PA 
Our research group investigates the mathematical features of quantum mechanics and quantum field theories as well as the theoretical aspects of nonequilibrium statistical mechanics.
Our main focus is on the derivation of rigorous mathematical results and their application to study complex physical phenomena ranging from meso to microscopic scales.
The mathematical framework, within which our research is carried out, includes investigation tools like partial differential equations (PDE) and integrodifferential equations, operator theory, nonlinear functional analysis.
Webpage: https://www.kinetic.mate.polimi.it
 Nonlinear models of quantum phenomena;
 Superconductivity and superfluidity;
 Few and manybody Schrödinger operators;
 Open quantum systems and decoherence;
 Renormalization in quantum field theory;
 Semi and quasiclassical analysis in quantum field theory;
 Quantum fields in black hole backgrounds;
 Kinetic theory of rarefied gases and the Boltzmann equation;
 Smoluchowski kinetic equation and its applications to biomedical research.
1  CORREGGI Michele  PO 
2  BELGIORNO Francesco domenico  PA 
3  FALCONI Marco  RTDB 
4  LORENZANI Silvia  PA 
Main research topics of the group refer to: algebra and theoretical computer science, commutative and computational algebra, complex and hypercomplex analysis, algebraic and enumerative combinatorics, geometric analysis, differential geometry, discrete mathematics, graph theory, representation theory.
Applications range in various directions including image reconstruction and recognition, discrete and geometric tomography, code theory, signal theory, neurosciences, topological data analysis.
1  SABADINI Irene  PO 
2  CATINO Giovanni  PO 
3  D'ALÌ Alessio Maria  RTDA 
4  DULIO Paolo  PA 
5  GUMENYUK Pavel  PA 
6  HOCHENEGGER Andreas  RTDB 
7  LELLA Paolo  PA 
8  MOSENEDER Pierluigi  PA 
9  MUNARINI Emanuele  PA 
10  NOTARI Roberto  PA 
11  PINTON Stefano  RTDB 
12  RODARO Emanuele  PA 
13  SAMMARTANO Alessio  RTDB 
14  SCHLESINGER Enrico  PA 
15  SENTINELLI Paolo  RTDA 
1  LUCCHETTI Roberto  PO 
Mathematical modeling of complex multiphysics phenomena for applications in engineering in applied sciences, with particular focus on industry 4.0, space science and precision medicine.
Modeling and numerical simulation of wave propagation, fluid dynamic instability and turbulence.
Applications of continuum mechanics in contexts of industrial relevance, with particular focus on developing datadriven models for industry 4.0 and space science.
Mathematical modeling of active soft matter, biological tissues with residual growth and tension, porous media, multiphase fluids and complex flows, rarefied gases, liquid crystals.
Development of predictive models of personalized medicine, of numerical simulation tools informed by clinical data and of machine learning methods to support medical decisions.
modelling, data driven methods, industry 4.0, space science, precision medicine
1  CIARLETTA Pasquale  PO 
2  BARBANTE Paolo  RTI 
3  MAGRI Marco  RTDA 
4  RICCOBELLI Davide  RTDA 
5  TURZI Stefano  PA 
6  VALDETTARO Lorenzo  PA 
7  VIANELLO Maurizio  PO 
1  GRASSELLI Maurizio  PO 
2  BERETTA Elena  PA 
3  COLLINI Tiziana  RC 
4  CONTI Monica  PO 
5  DELL'ORO Filippo  RTDB 
6  MARCHINI Elsa Maria  PA 
7  PATA Vittorino  PO 
8  SALSA Sandro  PO 
Analysis and modeling of random phenomena in physics, biology, finance, econometry. Stochastic optimization, filtering, control, backward stochastic equations. Bayesian inference. Quantum probability and information: quantum open systems, quantum optics applications, quantum uncertainty.
Applications of models based on stochastic processes:
 Optimal control in finite and infinite dimensions of Markovian and nonMarkovian processes, of diffusive or purejump types; quadratic linear control. Applications to financial modeling.
 Pricing and hedging of financial derivatives, in particular traded on Energy Markets.
 Study of stochastic models of information/epidemic diffusion. This has a natural application, for instance, in the development of strategies to curb epidemics (vaccinations) or to favour the rapid dissemination of information.
 Construction and statistical analysis of CoxMarkov models, construction of Bayesian semiMarkov processes, Bayesian survival analysis with applications to biological and seismic data. Bayesian econometric models of the regional population. Long experience in developing the theory and in applications of dynamical equations for quantum open systems and generators of quantum dynamical semigroups, the Schrödinger stochastic equation, quantum stochastic differential equations. Development of entropy techniques for information and uncertainty analysis in quantum systems that finds its natural application in the emerging field of quantum technologies.
1  FAGNOLA Franco  PO 
2  BARCHIELLI Alberto  PO 
3  BASSETTI Federico  PA 
4  BATTISTINI Egidio  RC 
5  CONFORTOLA Fulvia  PA 
6  DHAHRI Ameur  PA 
7  EPIFANI Ilenia  PA 
8  GREGORATTI Matteo  PA 
9  GUATTERI Giuseppina  PA 
10  LADELLI Lucia Maria  PA 
11  POLETTI Damiano  Dottorando 
12  SGARRA Carlo  PA 
13  TOIGO Alessandro  PA 
14  VERRI Maurizio  PA 
15  ZANELLA Margherita  RTDA 
16  ZUCCA Fabio  PA 
The group activity is focused on statistical models and methods applied to industrial problems or arising in biomedical sciences, geosciences and social sciences. Beside an intense theoretical research, also along the Bayesian approach, applied research is pursued within the MOX laboratory (http://mox.polimi.it) in the area Statistics@MOX (https://statistics.mox.polimi.it). Specific domains are those related to the analysis of complex and high dimensional data and to health analytics. The research focus in Bayesian statistics is on modelling and computational aspects, in particular on mixture models for clustering
Big data, statistical learning, functional data analysis, Bayesian statistics, data mining, generalized linear models with mixed effects, urn models for adaptive design of experiment, geostatistics, health care management.
1  SECCHI Piercesare  PO 
2  GUGLIELMI Alessandra  PO 
3  IEVA Francesca  RTDB 
4  MENAFOGLIO Alessandra  RTDB 
5  PAGANONI Anna Maria  PO 
6  SANGALLI Laura Maria  PA 
7  VANTINI Simone  PA 