• Topology1
    Topology optimization of structures
    and metamaterials

    (courtesy of Proff. Simona Perotto, Stefano Micheletti, Dr. Nicola Ferro)
    Topology optimization of structures<br>and metamaterials
    Topology optimization of structures
    and metamaterials
    (courtesy of Proff. Simona Perotto, Stefano Micheletti, Dr. Nicola Ferro)

    Additive Manufacturing has changed the way to conceive the production of structures and materials. Topology optimization offers us a rigorous tool for increasingly efficient and new designs

  • brain1
    Statistical analysis of high-dimensional
    neuroimaging data

    (Courtesy of Prof. Laura Sangalli)
    Statistical analysis of high-dimensional<br>neuroimaging data
    Statistical analysis of high-dimensional
    neuroimaging data
    (Courtesy of Prof. Laura Sangalli)

    Advanced statistical techniques enable the study of high-dimensional neuroimaging signals associated with neuronal activity and connectivity, complying with the complicated morphology of the brain

  • zunino
    Numerical simulation of microcirculation
    and tissue microenvironment

    (courtesy of Prof. Paolo Zunino)
    Numerical simulation of microcirculation<br>and tissue microenvironment
    Numerical simulation of microcirculation
    and tissue microenvironment
    (courtesy of Prof. Paolo Zunino)

    Computational models describe the delivery of oxygen to the tissue microenvironment of a tumor, which in turn influences the efficacy of radiotherapy and the corresponding cell survival fraction.

  • ponte
    Vortex shedding around
    the deck of a bridge

    (courtesy of Proff. Denis Bonheure, Filippo Gazzola, Gianmarco Sperone)
    Vortex shedding around<br>the deck of a bridge
    Vortex shedding around
    the deck of a bridge
    (courtesy of Proff. Denis Bonheure, Filippo Gazzola, Gianmarco Sperone)

    The origin of instability in bridges: CFD simulation of vortices around the deck for a fluid obeying to the Navier-Stokes equations (courtesy of Proff. Denis Bonheure, Filippo Gazzola, Gianmarco Sperone).

  • terremoto
    Numerical simulation of
    seismic events

    (courtesy of Prof. Paola Antonietti)
    Numerical simulation of<br>seismic events
    Numerical simulation of
    seismic events
    (courtesy of Prof. Paola Antonietti)

    High performance numerical simulations for the reliable prediction of near-fault ground motions and seismic response of strategic structures in complex 3D scenarios.

General information

The Department of Mathematics of the Politecnico di Milano is hosting a PhD program in Mathematical Models and Methods in Engineering, aiming at training high level researchers in advanced areas of Pure and Applied Mathematics. The teaching activities include a broad range of possibilities designed for the PhD program. As a successful approach to practical applications depends on a deep understanding of real-world phenomena and knowledge of mathematical tools for their description and design, both modelling, methodological and theoretical aspects are included. Courses are offered in various areas of mathematics, and may vary every year.

Geometrindi e Matematindi (Luigi Serafini 2002)

Geometrindi e Matematindi (Luigi Serafini 2002)

Numerical simulation of blood flow in the heart (courtesy of Prof. Alfio Quarteroni)

Numerical simulation of blood flow in the heart
(courtesy of Prof. Alfio Quarteroni)

Objectives

The development of advanced technologies in Science and Engineering brings an increasing demand of advanced mathematical theories and methods, which in turn fosters the demand for education and training of skilled mathematicians in pure and applied research. The main scope of the Ph.D. course “Mathematical Models and Methods in Engineering” is to train high-level researchers in various fields of pure and applied mathematics.

Professional Opportunities

Expected professional placements for Ph.D. doctorates are: academic research in Italian or International Universities and Research Institutions, R & D divisions of private companies, study and research centers of public Agencies, financial and insurance Institutions.

Upcoming events
  • feb 19 wed 2025

    Seminar
    Marzia De Donno, Short rate models with stochastic discontinuities: a PDE approach.,  02-19-2025, 12:15
    logo matematica
    • Seminar
    • Marzia De Donno
    • Università Cattolica del Sacro Cuore
    • Short rate models with stochastic discontinuities: a PDE approach.
    • Wednesday, 19 February 2025 at 12:15
    • Aula seminari, 3° piano
    • Abstract
      With the recent reform of interest rate benchmarks, interbank offered rates (IBORs) like LIBOR have been replaced by risk-free rates (RFRs), such as the Secured Overnight Financing Rate (SOFR) in the U.S. and the Euro Short-Term Rate (€STR) in Europe. These rates exhibit characteristics like jumps and spikes that correspond to specific market events, driven by regulatory and liquidity constraints. To capture these characteristics, this paper considers a general short-rate model that incorporates discontinuities at fixed times with random sizes. Within this framework, we introduce a PDE-based approach for pricing interest rate derivatives. For affine models, we derive (quasi) closed-form solutions, while for the general case, we develop numerical methods to solve the resulting PDEs.
      (Joint work with A. Calvia, C. Guardasoni, S. Sanfelici).
    • Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

  • feb 19 wed 2025

    Seminar
    Peter Schlosser, From the bounded \(S\)-functional calculus to the \(H^\infty\)-functional calculus,  02-19-2025, 17:00
    logo matematica
    • Seminar
    • Peter Schlosser
    • Graz University of Technology
    • From the bounded \(S\)-functional calculus to the \(H^\infty\)-functional calculus
    • Wednesday, 19 February 2025 at 17:00
    • On-line (il link verrà reso disponibile il giorno stesso del seminario)
    • Abstract
      The quaternionic (or Clifford algebra) version of the Cauchy integral formula motivates the so called bounded \(S\)-functional calculus, i.e., we formally replace the variable which is not integrated in the Cauchy integral formula by a bounded operator \(T\).
      For bounded operators, this integral makes sense, since the spectrum of \(T\) is bounded and the integration path is compact.

      For unbounded, closed operators \(T\), there are different generalizations of the functional calculus. In particular, for the important class of sectorial operators, this talk will introduce the \(H^\infty\)-functional calculus in a 2-step procedure. First, functions \(f\) with a certain decay at infinity are considered, enough decay such that the integral still makes sense. In a second step, using a regularization procedure, \(f(T)\) is defined also for polynomially growing functions.
    • Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

  • feb 25 tue 2025

    Seminar
    Camillo de Lellis, Area-minimimizing currents mod an integer,  02-25-2025, 14:30 precise
    logo matematica
    • Seminar
    • Camillo de Lellis
    • IAS Princeton
    • Area-minimimizing currents mod an integer
    • Tuesday, 25 February 2025 at 14:30 right
    • Aula C04, via Mangiagalli 25
    • Abstract
      Currents mod p are a suitable generalization of classical chains mod p, i.e. of finite combinations of smooth submanifolds with coefficients in the cyclic group $\mathbb Z_p$. By the pioneering work of Federer and Fleming it is possible to minimize the area in this context and, for instance, represent mod $p$ homology classes with area minimizers. For $p>2$ typically (i.e. away froma small set of exceptional points) one would expect such minimizers to be a union of smooth minimal surfaces joining together (``in multiples of $p$'s'') at some common boundary. This is however surprisingly challenging to prove, especially for even $p$'s, and up until recently only known for $p=3$ and $4$ in codimension $1$. In this talk I will explain the outcome of a series of more recent works (some joint of the speaker with Hirsch, Marchese, Stuvard and Spolaor, some by Wickramasekera and Minter-Wickramasekera, and some joint of the speaker with Minter and Skorobogatova) which confirms this picture, with varying degrees of precision in
      a variety of situations.
    • Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

  • feb 26 wed 2025

    Seminar
    Armen Shirikyan, Gallavotti–Cohen fluctuation theorem: Universal law of non-equilibrium statistical mechanics.,  02-26-2025, 16:00 precise
    logo matematica
    • Seminar
    • Armen Shirikyan
    • University of Cergy-Pontoise
    • Gallavotti–Cohen fluctuation theorem: Universal law of non-equilibrium statistical mechanics.
    • Wednesday, 26 February 2025 at 16:00 right
    • Aula seminari MOX, sesto piano del Dipartimento di Matematica, Edificio 14 "La Nave", Politecnico di Milano
    • Abstract
      The irreversible behaviour of macroscopic processes governed by reversible laws of classical or quantum physics has been a captivating subject in statistical mechanics going back at least to the pioneering work of Boltzmann. The general consensus reached by the middle of the last century was that the second law of thermodynamics, which states that entropy increases with time, is empirical in nature, and that the probability of a negative fluctuation of entropy is so small that it cannot be observed in practice. A natural question is the quantitative description of that claim. A breakthrough on this subject came in the middle of nineties due to the work of Evans-Searles and Gallavotti-Cohen.

      In this talk, I shall illustrate their discovery on the simplest example of finite state Markov chains. It will be shown that, under some natural hypotheses, one can define an entropy production observable whose time averages satisfy the large deviation principle. The resulting rate function possesses a symmetry property which implies that the probability of a negative value for the mean entropy production is exponentially suppressed by that of the opposite positive value. I shall also discuss the realisation of this programme in the context of fluid flows.
    • Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

  • feb 27 thu 2025

    MOX Seminar
    Mario Putti, p-Laplacian based surrogate modeling of water distribution systems,  02-27-2025, 14:00
    logo matematica
    MOX
    MOX Numeth

    • MOX Seminar
    • Mario Putti
    • Department of Agronomy, Food, Natural resources And Environment, UniPD
    • p-Laplacian based surrogate modeling of water distribution systems
    • Thursday, 27 February 2025 at 14:00
    • Aula Saleri
    • Abstract
      Precise modeling of an operational Water Distribution System (WDS) is a non-trivial and intricate task. Indeed, many of the hydraulic characteristics of the original WDS components (pipes and valves) may drastically change in time due in particular to aging. For this reason, the original model used in the design phase is unrealistic and a new parameter set needs to be calibrated for each WDS component. Because of the complexity of the system and the consequential difficulty in the determination of the actual values of the hydraulic parameters, the development of accurate operational models is inaccessible for real scale aqueducts. In this work we propose a surrogate model of a WDS based on a weighted p-Laplace operator defined on the graph representing the aqueduct. In other words, we postulate the existence of appropriate distributions of spatially varying weights and exponents such that the solution of the corresponding weighted p-Poisson equation with the water demand as forcing function actually describes the behavior of the WDS. Thus, we formulate a TV-regularized p-Calderon inverse problem to identify the weight and exponent distributions and formulate a gradient flow scheme for its numerical solution. A complex real aqueduct characterized by 138 km of pipes is used to verify the applicability of the proposed surrogate model and assess its accuracy in reproducing the real behavior.

      Contatti:
      alessio.fumagalli@polimi.it
    • Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

  • feb 28 fri 2025

    Seminar
    Arianna Burzacchi, Privacy-preserving data analysis of location data for the design of human mobility services and infrastructures,  02-28-2025, 14:30
    logo matematica
    • Seminar
    • Arianna Burzacchi
    • Politecnico di Milano
    • Privacy-preserving data analysis of location data for the design of human mobility services and infrastructures
    • Friday, 28 February 2025 at 14:30
    • Aula Saleri - VI piano
    • Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

  • mar 06 thu 2025

    MOX Colloquia
    Laura De Lorenzis, Lattice Boltzmann for solid mechanics: elastostatics and elastodynamics,  03-06-2025, 14:00
    logo matematica
    MOX

    • MOX Colloquia
    • Laura De Lorenzis
    • Computational Mechanics Group, ETH Zurich
    • Lattice Boltzmann for solid mechanics: elastostatics and elastodynamics
    • Thursday, 6 March 2025 at 14:00
    • Aula Rogers, Piano Terra, Edificio 11, Politecnico di Milano
    • Abstract
      The talk overviews recent research by the authors on the development of second-order consistent and stable lattice Boltzmann formulations to solve elastostatics and elastodynamics problems. The first proposed scheme [1] solves the quasi-static equations of linear elasticity in two dimensions using a collision operator with multiple relaxation times. In contrast to previous works, our formulation solves for a single distribution function with a standard velocity set and avoids any recourse to finite difference approximations. As a result, all computational benefits of the lattice Boltzmann method can be used to full capacity. The second proposed scheme [2] solves the equations of linear elastodynamics in two dimensions (the extension to three dimensions is currently also available but still unpublished). The construction of the numerical scheme uses an equivalent first-order hyperbolic system of equations as an intermediate step, for which a vectorial lattice Boltzmann formulation is introduced. The only difference to conventional lattice Boltzmann formulations is the usage of vector-valued populations, so that once again all computational benefits of the algorithm are preserved. Both schemes are systematically derived using the asymptotic expansion technique. Stability is assessed for elastostatics with von Neumann analysis, whereas in elastodynamics we exploit the notion of pre-stability structures to prove stability for an arbitrary combination of material parameters under a CFL-like condition. Boundary formulation for various cases are proposed [3]. All theoretical derivations are numerically verified by convergence studies using manufactured solutions and long-term stability tests.

      [1] O. Boolakee, M. Geier, L. De Lorenzis (2023), A new Lattice Boltzmann scheme for linear elastic solids: periodic problems. Computer Methods in Applied Mechanics and Engineering, 404: 115756.

      [2] O. Boolakee, M. Geier, L. De Lorenzis (2025). Lattice Boltzmann for linear elastodynamics: periodic problems and Dirichlet boundary conditions. Computer Methods in Applied Mechanics and Engineering, 433: 117469.

      [3] O. Boolakee, M. Geier, L. De Lorenzis (2023), Dirichlet and Neumann boundary conditions for a lattice Boltzmann scheme for linear elastic solids on arbitrary domains. Computer Methods in Applied Mechanics and Engineering, 415: 116225.

      Contatti:
      davide.riccobelli@polimi.it
    • Laura De Lorenzis

      Laura De Lorenzis

      Laura De Lorenzis received her Engineering degree and her PhD from the University of her hometown Lecce, in southern Italy, where she first stayed as Assistant and later as Associate Professor of Solid and structural mechanics. In 2013 she moved to the TU Braunschweig, Germany, as Professor and Director of the Institute of Applied Mechanics. There she was founding member and first Chair (2017-2020) of the Center for Mechanics, Uncertainty and Simulation in Engineering. Since 2020 she is Professor of Computational Mechanics at ETH Zürich, in the Department of Mechanical and Process Engineering. She was visiting scholar in several renowned institutions, including Chalmers University of Technology, the Hong Kong Polytechnic University, the Massachusetts Institute of Technology (as holder of a Fulbright Fellowship in 2006), the Leibniz University of Hannover (with an Alexander von Humboldt Fellowship in 2010-2011), the University of Texas at Austin and the University of Cape Town. She is the recipient of several prizes, including the RILEM L’Hermite Medal 2011, the AIMETA Junior Prize 2011, the IIFC Young Investigator Award 2012, the Euromech Solid Mechanics Fellowship 2022, the IACM Fellowship 2024, two best paper awards and two student teaching prizes. In 2011 she was awarded a European Research Council Starting Researcher Grant. She has authored or co-authored more than 150 papers on international journals on different topics of computational and applied mechanics. Since 2023 she is Editor of Computer Methods in Applied Mechanics and Engineering.
    • Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

  • mar 10 mon 2025

    mar 11 tue 2025

    WorkShop
    Quantum mathematics @ polimi 2025 : workshop i
    03/10/2025 - 03/11/2025
    logo matematica
    • WORKSHOP
    • QMP25 - Workshop I
    • organizers
      D. Fermi, M. Moscolari, A. Olgiati (PoliMi)
    • Quantum Mathematics @ Polimi is a three-months intensive research period focusing on several aspects of the mathematics of quantum systems.
    • Monday, 10 March 2025 - Tuesday, 11 March 2025
      Politecnico di Milano
    Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
  • mar 17 mon 2025

    Seminar
    Alberto Rodríguez-Vázquez, T.B.A.,  03-17-2025, 11:00 precise
    logo matematica
    • Seminar
    • Alberto Rodríguez-Vázquez
    • Université Libre de Bruxelles
    • T.B.A.
    • Monday, 17 March 2025 at 11:00 right
    • Aula seminari III piano
    • Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

  • mar 20 thu 2025

    MOX Colloquia
    Marie Rognes, Brain membranes and vasculature: a computational mathematics tale of dimensional gaps,  03-20-2025, 15:00
    logo matematica
    MOX

    • MOX Colloquia
    • Marie Rognes
    • Simula Research Laboratory
    • Brain membranes and vasculature: a computational mathematics tale of dimensional gaps
    • Thursday, 20 March 2025 at 15:00
    • Aula Rogers, Piano Terra, Edificio 11, Politecnico di Milano
    • Abstract
      Structurally, brain tissue is characterized by thin cell membranes and slender vessels, defining submanifolds of codimension one and two respectively.  Functionally, your brain fundamentally relies on the transport of ions and nutrients and movement of water in and between these spaces. These physiological processes are clearly crucial for brain function and health, but the precise mechanisms and their association with neurodegenerative diseases such as Alzheimer's and Parkinson's disease and neurological events such as seizures remain only partially understood. Notably, mathematical and computational modelling are beginning to play an important role in gaining new insight. In this talk, I will discuss key mathematical, numerical and computational challenges associated with modelling brain mechanics and transport across scales with an emphasis on coupled systems of partial differential equations with dimensional gaps.

      Contatti:
      paola.antonietti@polimi.it
    • Marie Rognes

      Marie Rognes

      Marie E. Rognes is Chief Research Scientist in Scientific Computing and Numerical Analysis at Simula Research Laboratory, Oslo, Norway. Her research focuses on computational mathematics and its applications in the life sciences in general and neuroscience in particular. She received her Ph.D from the University of Oslo in 2009 after an extended research stay at the University of Minnesota Twin Cities, Minneapolis, US. She has been at Simula Research Laboratory since 2009, and led its Department for Biomedical Computing from 2012 to 2016. She held a Professor II position (20%) at the Department of Mathematics, University of Bergen, Norway (2020-2022), and was a Visiting Fulbright Scholar at the Institute for Engineering in Medicine, University of California San Diego, CA, US (2022-2023).

      Rognes is a member of the Norwegian Academy for Technological Sciences (2022-) and was a Founding Member of the Young Academy of Norway in 2016. She won the 2015 Wilkinson Prize for Numerical Software, the 2018 Royal Norwegian Society of Sciences and Letters Prize for Young Researchers within the Natural Sciences, an ERC Starting Grant in Mathematics in 2017, and is the principal recipient of several ground-breaking research grants from the Research Council of Norway. She is (or has been) a member of the Research Council of Norway's Portfolio Board for ground-breaking research (2024-), the European Mathematical Society's Committee for Applications and Interdisciplinary Relations (2023-), the Interpore Council (2023-), and the FEniCS Steering Council (2016-2024), in addition to six Editorial Boards spanning pure and applied mathematics, scientific computing and mathematical software. Rognes has supervised more than 8 postdoctoral fellows, 16 PhD or DPhil students, and 13 MSc students in the period 2012-2024.
    • Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

  • mar 21 fri 2025

    MOX Seminar
    Raffaele D'Ambrosio, Structure-preserving numerical methods for stochastic differential equations,  03-21-2025, 10:00
    logo matematica
    MOX
    MOX Numeth

    • MOX Seminar
    • Raffaele D'Ambrosio
    • Università degli Studi dell'Aquila
    • Structure-preserving numerical methods for stochastic differential equations
    • Friday, 21 March 2025 at 10:00
    • Aula Saleri
    • Abstract
      In this talk, geometric numerical integration meets stochastic numerics. In particular, the attention is focused on recent advances regarding the numerical preservation of qualitative/quantitative aspects and invariance laws characterizing the dynamics of various stochastic ordinary and partial differential equations. The talk moves towards the following two tracks:

      -geometric numerical integration of stochastic Hamiltonian problems. For these problems, two different scenarios are clarified: if the noise is driven in the Ito sense, the expected Hamiltonian function exhibits a linear drift in time; in the Stratonovich case, the Hamiltonian is pathwise preserved. In both cases, the talk aims to highlight the attitude of selected numerical methods in preserving the aforementioned behaviors. A long-term investigation via backward error analysis is also presented;

      -structure-preserving numerics of dissipative problems. The investigation moves towards the numerical conservation of mean-square contractivity in the time integration of dissipative problems, via stochastic theta-methods. The analysis shows that numerical contractivity in mean-square sense is hidden within proper stepsize restrictions.

      A general guideline is given by the assessment of a bridge between numerical modelling of stochastic problems and that for the underlying deterministic ones. This talk is based on the joint research in collaboration with Chuchu Chen (Chinese Academy of Sciences), David Cohen (Chalmers University of Technology & University of Gothenburg), Stefano Di Giovacchino (University of L’Aquila), and Annika Lang (Chalmers University of Technology & University of Gothenburg).

      Contatti:
      luca.formaggia@polimi.it
    • Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

  • mar 24 mon 2025

    mar 26 wed 2025

    WorkShop
    Annual meeting of ems activity group on scientific machine learning
    03/24/2025 - 03/26/2025
    logo matematica
    • WORKSHOP
    • EMS-TAG-SciML-25
    • organizers
      Paola F. Antonietti, Stefano Pagani, Francesco Regazzoni, Marco Verani (Chair), Paolo Zunino
    • In recent years, the combination of numerical methods and machine learning has gained an ever-increasing interest as a research field within Numerical Mathematics and Scientific Computing. To further foster this development on a European level, the Topical Activity Group Scientific Machine Learning (SciML) of the European Mathematical Society (EMS TAG SciML) has been established. The first edition of the Annual Meeting of EMS-AI activity group on Scientific Machine Learning will bring together scientists from mathematics, computer science, and application areas to discuss the latest developments in computational and mathematical methods in Scientific Machine Learning.
    • Monday, 24 March 2025 - Wednesday, 26 March 2025
      Politecnico di Milano, Milan, Italy
    Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
  • mar 26 wed 2025

    MOX Colloquia
    Wil Schilders, Advancing Scientific Machine Learning in Industry,  03-26-2025, 14:00
    logo matematica
    MOX

    • MOX Colloquia
    • Wil Schilders
    • Eindhoven University of Technology and TU Munich-Institute for Advanced Study
    • Advancing Scientific Machine Learning in Industry
    • Wednesday, 26 March 2025 at 14:00
    • Aula Castigliano, Politecnico di Milano
    • Abstract
      Scientific machine learning (SciML) has been taking the academic world by storm as an interesting blend of traditional scientific modeling with machine learning (ML) methodologies like deep learning. While traditional machine learning methodologies have difficulties with scientific issues like interpretability, and enforcing physical constraints, the blend of ML with numerical analysis and differential equations has evolved into a novel field of research which overcome these problems while adding the data-driven automatic learning features of modern machine learning. Many successes have already been demonstrated, with tools like physics-informed neural networks, universal differential equations, deep backward stochastic differential equation solvers for high dimensional partial differential equations, and neural surrogates showcasing how deep learning can greatly improve scientific modeling practice. Consequently, SciML holds promise for versatile application across a wide spectrum of scientific disciplines, ranging from the investigation of subatomic particles to the comprehension of macroscopic systems like economies and climates.
      However, despite notable strides in enhancing the speed and accuracy of these methodologies, their utility in practical and specifically industrial settings remain constrained. Many domains within the scientific community still lack comprehensive validation and robustness testing of SciML approaches. This limitation is particularly pronounced when confronted with complex, real-world datasets emanating from interactions between machinery and environmental sensors as usually addressed in industry. Still if appropriately addressed, SciML with its promise to accelerate innovations and scientific discoveries by orders of magnitudes, offers unique opportunities to address the insatiable desire for faster and more accurate predictions in many fields.
      This presentation is dedicated to exploring recent advancements in the implementation of SciML techniques. We will discuss how methodologies can be refined to ensure their practical viability and scalability, particularly in industrial sectors where digital and physical components converge.

      Contatto:
      paola.antonietti@polimi.it
    • Wil Schilders

      Wil Schilders

      Wil Schilders studied Mathematics, with Physics and Astronomy, at the Radboud University in Nijmegen, The Netherlands, from 1974-1978, and obtained his PhD in numerical analysis from Trinity College Dublin in 1980. From 1980-2006 he worked at Philips Research, performing research on mathematical methods and software for semiconductor device simulation and electronic circuit simulation, and from 2006-2010 at NXP Semiconductors. Since 1999, he was also a part-time professor at TU Eindhoven on scientific computing for industry. In 2010, he moved to TU Eindhoven, and also became the director of the Dutch Platform for Mathematics. He has been active within the European Consortium for Mathematics in Industry (ECMI), being president in 2010-2011 and chairing the Research and Innovation Committee for many years. From 2015-20, he was president of EU-MATHS-IN, the European Service Network of Mathematics for Industry and Innovation (www.eu-maths-in.eu). Since October 1, 2023, he is the president of the International Council for Industrial and Applied Mathematics (ICIAM). In 2020, he was the 4th Mittelsten-Scheid guest professor at Bergische Universitaet Wuppertal, and since 2021 he is a Hans Fischer Senior Fellow at the Institute for Advanced Study at TU Munich. He is a fellow of the Society for Industrial and Applied Mathematics (SIAM) and was awarded the Dutch Stairway to Impact award end of 2022. In 2023, he organized the SIAM conference on Computational Science and Engineering in Amsterdam, with 2100+ participants. He supervised 25 PhD students, and led more than 10 European projects. His main expertise is in numerical linear algebra, model order reduction (he was chair of EU-MORNET) and recently he has become interested in scientific machine learning, a combination of numerical analysis/scientific computing and machine learning (his motto: ‘’Real intelligence is needed to make artificial intelligence work’’). He has a large network, also with industry, and is very interested in sustainability and the role of mathematics herein.
    • Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

  • apr 02 wed 2025

    apr 03 thu 2025

    WorkShop
    Third conference of the statistics and data science group of the italian statistical society - statistical methods for data analysis and decision sciences
    04/02/2025 - 04/03/2025
    logo matematica
    • WORKSHOP
    • SDS 2025
    • organizers
      Chairs: Simone Vantini (Politecnico di Milano) and Silvia Salini (University of Milan)
    • The Third Conference of the Statistics and Data Science Group of the Italian Statistical Society will take place in Milan on April 2-3, 2025 (https://sds2025.sis-statistica.it). The conference is jointly organized by the Department of Mathematics of the Politecnico di Milano and the Department of Economics, Management, and Quantitative Methods of the University of Milan. The meeting will gather researchers and practitioners interested and working in Statistics and Data Science and the related methodological and applied fields.
    • Wednesday, 2 April 2025 - Thursday, 3 April 2025
      Milano, Italy
    Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
  • apr 07 mon 2025

    apr 09 wed 2025

    WorkShop
    1st workshop on data science for health and biology - ds4hb
    04/07/2025 - 04/09/2025
    logo matematica
    • WORKSHOP
    • DS4HB
    • organizers
      Francesca Ieva, Lara Cavinato, Anna Paganoni, Laura Savarè, Vittorio Torri, Giacomo Boracchi, Emanuele Di Angelantonio e Michela Massi
    • DS4HB will bring together the brightest minds in data science, healthcare, and biology for a unique event designed to inspire dialogue, collaboration, and innovation in this multidisciplinary research field. The workshop is organized in 3 thematic days - Data Science for Omics (Day 1), Data Science for Imaging (Day 2) and Data Science for Electronic Health Records (Day 3) - and offers a broad landscape of invited talks, panel discussions, training and networking events. Featuring a diverse blend of perspectives and internationally renowned speakers, DS4HB provides a platform for cutting-edge ideas to flourish and for the next generation of researchers to learn from the leaders shaping the future of the life sciences.
    • Monday, 7 April 2025 - Wednesday, 9 April 2025
      Politecnico di Milano, Milan (IT)
    Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
  • may 26 mon 2025

    may 30 fri 2025

    WorkShop
    Quantum mathematics @ polimi 2025 : workshop ii
    05/26/2025 - 05/30/2025
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    • WORKSHOP
    • QMP25 - Workshop II
    • organizers
      D. Fermi, M. Moscolari, A. Olgiati (PoliMi)
    • Quantum Mathematics @ Polimi is a three-months intensive research period focusing on several aspects of the mathematics of quantum systems.
    • Monday, 26 May 2025 - Friday, 30 May 2025
      Politecnico di Milano
    Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
  • jun 03 tue 2025

    jun 06 fri 2025

    WorkShop
    Quantum mathematics @ polimi 2025 : workshop iii
    06/03/2025 - 06/06/2025
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    • WORKSHOP
    • QMP25 - Workshop III
    • organizers
      A. De Martino, D. Fermi, M. Moscolari, A. Olgiati, P. Schlosser (PoliMi)
    • Quantum Mathematics @ Polimi is a three-months intensive research period focusing on several aspects of the mathematics of quantum systems.
    • Tuesday, 3 June 2025 - Friday, 6 June 2025
      Politecnico di Milano
    Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
  • jun 12 thu 2025

    jun 13 fri 2025

    WorkShop
    Financial education – why, what works, what doesn't and for whom
    06/12/2025 - 06/13/2025
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    • WORKSHOP
    • EDUFIN25
    • organizers
      Emilio Barucci
    • The objective of the conference is twofold: the first is to analyse the importance of financial literacy in supporting financial well-being, financial inclusion, financial market development and enabling a wider economic prosperity; the second is to review concrete experiences, comparing what worked and what didn't and for whom. The aim is to have an international conference on best practices in financial education with a multidisciplinary scientific approach involving academia and policy-makers.
    • Thursday, 12 June 2025 - Friday, 13 June 2025
      Politecnico di Milano
    Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
  • jun 23 mon 2025

    jun 27 fri 2025

    WorkShop
    29th international conference on domain decomposition methods
    06/23/2025 - 06/27/2025
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    • WORKSHOP
    • DD29
    • organizers
      Paola F. Antonietti, Lourenco Beirao da Veiga, Silvia Bertoluzza, Michele Botti, Claudio Canuto, Gabriele Ciaramella, Paola Gervasio, Luca Pavarino, Alfio Quarteroni, Simone Scacchi, Christian Vergara
    • The purpose of the meeting is to discuss recent developments in various aspects of domain decomposition methods, bringing together mathematicians, computational scientists, and engineers working on numerical analysis, scientific computing, high-performance computing, machine learning, and computational science with industrial and societal applications. This event is part of the activities of the Department of Exellence 2023-27.
    • Monday, 23 June 2025 - Friday, 27 June 2025
      Politecnico di Milano
    Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
  • jun 30 mon 2025

    jul 04 fri 2025

    WorkShop
    Differential geometry @ l'aquila 2025
    06/30/2025 - 07/04/2025
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    • WORKSHOP
    • organizers
      Lucio Bedulli, Luciano Mari, Giuseppe Pipoli, Mario Santilli, Alberto Roncoroni, Luigi Vezzoni
    • The aim of the workshop is to focus on different recent advances in differential geometry and its applications, with particular emphasis on riemannian, metric and global differential geometry, theory of submanifolds and geometric flows.
    • Monday, 30 June 2025 - Friday, 4 July 2025
      Università degli Studi dell'Aquila
    Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568