Research Groups

NUMERICAL MODELING FOR PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS
ACTIVITY DESCRIPTION

The group brings together scientific and cultural skills concerning numerical mathematics. It deals with the development, theoretical analysis, and optimal implementation, also on high-performance computing architectures, of numerical methods, with particular reference to emerging differential models in the engineering, physics, life and earth sciences, as well as numerical models related to data science, artificial intelligence and the study of complex systems.

The research activity takes place mainly within the Modeling and Scientific Calculation laboratory MOX. It takes the form, in addition to publishing articles in prestigious journals, in developing numerical codes made available to the scientific community. Group members also conduct research in collaboration with companies, technology transfer, and public engagement.

COMPONENTS OF THE GROUP
Upcoming events

  • mar 13 thu 2025

    		Seminar
    Jussi Behrndt, Boundary value problems and differential operators,  03-13-2025, 10:00 precise
    logo matematica
    • Seminar
    • Jussi Behrndt
    • Technische Universität Graz
    • Boundary value problems and differential operators
    • Thursday, 13 March 2025 at 10:00 right
    • Aula seminari III piano, Ed. 14 Campus Leonardo
    • Abstract
      In the lecture series  "Boundary Value Problems and Differential Operators" we provide an introduction to extension theory of symmetric operators in Hilbert spaces and its diverse applications to spectral problems for self-adjoint ordinary and partial differential operators. One of the main objectives is to discuss the technique of boundary triples and Weyl functions, and to illustrate these methods for Sturm-Liouville operators, Schrödinger operators, and Dirac operators.

      The course consists of the following four lectures:

      I. Symmetric and self-adjoint operators in Hilbert spaces

      II. Boundary triples and applications to ordinary differential operators

      III. Weyl functions, Krein's resolvent formula, and spectral analysis

      IV. Quasi boundary triples and applications to partial differential operators

      schedule:  Wednesday, March 12th, 14.00 - 16.00

          Thursday, March 13th, 10:00 - 12:00

          Wednesday, March 19th, 14:00 - 16:00

          Thursday, March 20th, 10:00 - 12:00

      venue:  Politecnico di Milano, Via Bonardi 9, Dipartimento di Matematica, Ed. 14 "Nave", 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 13 thu 2025

    		Seminar
    Elena Montanaro, An epidemic model using GW trees and coupon collectors,  03-13-2025, 11:00
    logo matematica
    • Seminar
    • Elena Montanaro
    • Università La Sapienza
    • An epidemic model using GW trees and coupon collectors
    • Thursday, 13 March 2025 at 11:00
    • Aula Seminari - VI piano. Zoom link: polimi-it.zoom.us/j/95837122103?pwd=hXtbnj0t8rpSbybIkhGUYwEjZ1dgxN.1
    • Abstract
      We describe a model for information or viral transmission on the complete graph $\mathbb{K}_n$.
      Each node is an individual which may be susceptible, infected or recovered.
      This model has been introduced by Comets et al. with the main goal of studying the asymptotic behavior, as $n$ goes to infinity, of the duration of the infection and of the proportion of infected individuals in the population.
      The results rely on two interesting stochastic processes: the GW process and the coupon collector process.
      We discuss some extensions of this problem

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

  • mar 13 thu 2025

    		Seminar
    Matteo Brachetta, Risk measures and optimal reinsurance: finding a connection via BSDEs,  03-13-2025, 11:45
    logo matematica
    • Seminar
    • Matteo Brachetta
    • Università di Genova
    • Risk measures and optimal reinsurance: finding a connection via BSDEs
    • Thursday, 13 March 2025 at 11:45
    • Aula Seminari - VI piano. polimi-it.zoom.us/j/95837122103?pwd=hXtbnj0t8rpSbybIkhGUYwEjZ1dgxN.1
    • Abstract
      The aim of this talk is to connect utiility maximization problems and the optimization of dynamic
      risk measures, which are usually considered as two different branches or approaches to financial
      problems.
      A reinsurance contract allows an insurance company to transfer part of the risk to another company,
      namely the reinsurer, in order to reduce the future losses, which are usually modeled as a marked
      point process. Finding the optimal reinsurance agreement translates into a stochastic control
      problem for the insurer. Recently, some authors showed that the optimal value process for the utility
      maximization problem can be characterized as the solution of a BSDE with jumps. In
      other works, it is proved that some BSDEs induce dynamic risk measures, which can be financially
      interpreted as a default time and an associated mark. In this talk we aim to explore the properties of
      the risk measure induced by the optimal reinsurance policy under dierent risk models with jumps.
      The talk is based on a work in progress with Fulvia Confortola (Politecnico of Milan).

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

  • mar 13 thu 2025

    		Seminar
    Daniele De Gennaro, A geometric stability inequality and applications to the stability of geometric flows,  03-13-2025, 14:15
    logo matematica
    • Seminar
    • Daniele De Gennaro
    • Department of Decision Sciences and BIDSA, Bocconi University, Milano, Italy
    • A geometric stability inequality and applications to the stability of geometric flows
    • Thursday, 13 March 2025 at 14:15
    • Aula Seminari - III Piano
    • Abstract
      In this talk I will discuss some results concerning geometric flows. In particular, we will focus on flows with a volume constraint and whose motion is depending on their mean curvature, which (formally) arise as gradient flows for the perimeter functional.
      After an introduction on the topic, aimed at a general audience, we will discuss a novel geometric inequality, which takes the form of a quantitative Alexandrov theorem, in the periodic setting. We will then show how to use this inequality to prove global existence and to characterize the asymptotic behaviour for some instances of volume-preserving geometric flows. Our results apply to the volume-preserving mean curvature flow, the surface diffusion flow and the Mullins-Sekerka flow.
      This work is based on a collaboration with Anna Kubin (TU Wien), Andra Kubin (University of Jyväskylä) and Antonia Diana (Sapienza University).

    • 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
    Benjamin Hinrichs, Feynman-Kac Formulas for Polaron Models & the Ultraviolet Problem,  03-17-2025, 09:30 precise
    logo matematica
    • Seminar
    • Benjamin Hinrichs
    • Universität Paderborn
    • Feynman-Kac Formulas for Polaron Models & the Ultraviolet Problem
    • Monday, 17 March 2025 at 09:30 right
    • Aula seminari III piano, Bd. 14 (Nave) Campus Leonardo
    • Abstract
      Feynman-Kac formulas provide probabilistic representations of the semigroup generated by a selfadjoint operator, i.e., the solution of the corresponding heat equation. We first review this concept in the traditional setting for Schrödinger-type operators. Then, we discuss how to derive Feynman-Kac formulas for a class of models with operator-valued potentials, describing a non-relativistic particle linearly coupled to a bosonic quantum field. This class contains ultraviolet regularized versions of well-known models like the spin boson model, the Fröhlich polaron and the Nelson model.

      We then discuss how to remove the ultraviolet regularization, by an application of stochastic calculus. If time allows, we present some recent applications of the so-obtained formulas. The talk is based on joint works with Daniel Fröhlich, Fumio Hiroshima and Oliver Matte.

      This initiative is part of the "PhD Lectures" activity of the project "Departments of Excellence 2023-2027" of the Department of Mathematics of Politecnico di Milano. This activity consists of seminars open to PhD students, followed by meetings with the speaker to discuss and go into detail on the topics presented at the talk.

    • 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, New examples with positive \(\text{Ric}_2\) curvature.,  03-17-2025, 11:00 precise
    logo matematica
    • Seminar
    • Alberto Rodríguez-Vázquez
    • Université Libre de Bruxelles
    • New examples with positive \(\text{Ric}_2\) curvature.
    • Monday, 17 March 2025 at 11:00 right
    • Aula seminari III piano
    • Abstract
      I will present joint work with Miguel Domínguez Vázquez, David González-Álvaro, and Jason DeVito, focused on constructing the first examples of compact Riemannian manifolds with \(\text{Ric}_2>0\) curvature in dimensions 10, 11, 12, 13, and 14. The condition \(\text{Ric}_2 > 0\) is an intermediate curvature condition that interpolates between positive sectional curvature (\(\text{sec}> 0\)) and positive Ricci curvature (\(\text{Ric}> 0\)). We achieve this using a generalization of the fat bundle notion.

    • 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

    		WorkShop
    Machine learning in climate change mitigation scenarios: from model development to ensemble analysis
    03/20/2025
    logo matematica
    • WORKSHOP
    • organizers
      Francesco Nappo
    • Machine learning (ML) has emerged as a critical tool in contemporary climate research. This workshop will explore prospects for ML tools to enhance the design and assessment of medium- and long-term scenarios of greenhouse gas emissions. We will cover some of the latest applications, from the use of ML in the development of integrated assessment models (IAMs) of climate change to the opportunities of ML to assist the construction and evaluation of large ensembles of emission scenarios. Due to the specific nature of ML tools, the workshop will also be an occasion to reflect on emerging issues of opacity and the potential challenges in the implementation of ML in influential exercises of climate policy evaluation, such as those of the IPCC. Specifically, the workshop will address the following questions: - DATA ENHANCEMENT: Can ML tools help streamline the collection and curation of data to feed the models (IAMs) that produce emission scenarios? - MODEL ENHANCEMENT: Can neural networks and equations discovery tools integrate standard numerical modeling approaches to help re-design IAMs? - POST-PROCESSING: Can ML emulators be used to detect bias and infill missing dimensions of uncertainty in large ensembles of emission scenarios? - ASSESSMENT: What consequences can the use of ML tools have on the informativeness and trustworthiness of assessments of large scenario ensembles? We look forward to the participation of engineers, mathematicians, and other researchers with an expertise in ML. One of the workshop’s aims is to build further capacity to assist climate research and explore connections across emerging fields of research. The workshop will be held in Aula FDS, IV Floor, Department of Mathematics, Politecnico di Milano. Participation is free of charge. Registration is not required. Contact: francesco.nappo@polimi.it
    • Thursday, 20 March 2025 - Thursday, 20 March 2025
      Aula FDS IV piano, dip. Matematica, ed. 14 (La Nave)
    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

    		WorkShop
    Climate risk seminar
    03/20/2025
    logo matematica
    • WORKSHOP
    • organizers
      Emilio Barucci
    • Two seminars: - Andrea Macrina (UCL-London) Climate-Contingent Convertible Bonds (CloCo) – Seizing the Opportunity to Innovate and Adapt - Luca Regis (Università di Torino) Coordinating Dividend Taxes and Capital Regulation
    • Thursday, 20 March 2025 - Thursday, 20 March 2025
      Aula III piano, Department of Mathematics, 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 20 thu 2025

    		MOX Colloquia
    Marie Rognes, Brain membranes and vasculature: a computational mathematics tale of dimensional gaps,  03-20-2025, 14:00
    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 14:00
    • Aula E\F, 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

  • mar 27 thu 2025

    		Seminar
    Tamas Titkos, Rigid and non-rigid Wasserstein spaces,  03-27-2025, 14:15
    logo matematica
    • Seminar
    • Tamas Titkos
    • Corvinus University and Rényi Institute.
    • Rigid and non-rigid Wasserstein spaces
    • Thursday, 27 March 2025 at 14:15
    • Aula Seminari - III Piano
    • Abstract
      In recent decades, the theory of optimal transport has advanced rapidly, finding an ever-growing range of applications. The original problem of Monge is to find the cheapest way to transform one probability distribution into another when the cost is proportional to the distance. The most important metric structure that is related to optimal transport is the so-called p-Wasserstein space [denoted by Wp(X)] over the metric space X.

      The pioneering work of Bertrand and Kloeckner started to explore fundamental geometric features of 2-Wasserstein spaces, including the description of complete geodesics and geodesic rays, determining their different types of ranks, and understanding the structure of their isometry group.

      In this talk I will focus on isometry groups. A notable and useful property of p-Wasserstein spaces is that X embeds isometrically into Wp(X), moreover an isometry of X induces an isometry of Wp(X) by the push-forward operation. These induced isometries are called trivial isometries, and we say that Wp(X) is isometrically rigid if all its isometries are trivial. The question is: are there non-rigid Wasserstein spaces? What does a non-trivial isometry look like? Until very recently, only a few non-rigid examples were known such as the 2-Wasserstein space over R^n, and the 1-Wasserstein space over [0,1].

      In the first part of the talk, I will introduce some key concepts and notation. The main focus will then shift to exploring results concerning both rigidity and non-rigidity in Wasserstein spaces.

    • 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 08 thu 2025

    may 09 fri 2025

    		WorkShop
    Quantum mathematics @ polimi 2025 : quantum information, entanglement and causality
    05/08/2025 - 05/09/2025
    logo matematica
    Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

  • may 19 mon 2025

    may 20 tue 2025

    		WorkShop
    Quantum mathematics @ polimi 2025 : probabilistic methods for open quantum systems
    05/19/2025 - 05/20/2025
    logo matematica
    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 : mathematics of condensed matter systems
    05/26/2025 - 05/30/2025
    logo matematica
    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 : recent advances in operator theory and applications
    06/03/2025 - 06/06/2025
    logo matematica
    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
    logo matematica
    • 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

  • jul 07 mon 2025

    jul 11 fri 2025

    		WorkShop
    New perspectives in nonlocal and nonlinear pde
    07/07/2025 - 07/11/2025
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    • WORKSHOP
    • organizers
      José Antonio Carrillo (Univ. of Oxford), Antonio Esposito (Univ. dell'Aquila), Filomena Feo (Univ. "Parthenope"), Giuseppe Savarè (Univ. Bocconi), Bruno Volzone (Politecnico di Milano)
    • The goal of this workshop is to gather researchers working in the field of Partial Differential Equations with expertise in nonlocal and nonlinear equations. Among others, one of the simplest mathematical ways to describe many real-world problems is to start from a set of interacting particles, resulting in nonlocal and nonlinear PDEs in the many-particle limit. Despite the past progress in this field, recent discoveries in biology, plasma physics, and data science, among others, shed the lights on new challenges involving nonlocal structures, such as networks or graphs, and highly nonlinear and singular aggregation-diffusion equations. During the workshop we will focus on various mathematical issues in this direction, for instance: micro-macro description of diffusion process, evolutions on graphs, fluxes with nonlinear mobility, fourth-order aggregation-diffusion equations, etc. This workshop is partially funded by the Advanced Grant Nonlocal-CPD: "Nonlocal PDEs for Complex Particle Dynamics: Phase Transitions, Patterns and Synchronization" of the European Research Council Executive Agency (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement No. 883363).
    • Monday, 7 July 2025 - Friday, 11 July 2025
      Anacapri
    Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568