• phd2
    Michele Correggi
    Coordinator of the PhD in Mathematical Models and Methods in Engineering, illustrates the Phd program.
  • Topology1
    Topology optimization of structures
    and metamaterials
    (courtesy of Proff. Simona Perotto, Stefano Micheletti, Dr. Nicola Ferro)
    ...more
    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

  • q500-4-low
    Numerical simulation of blood flow in the heart
    (courtesy of Prof. Alfio Quarteroni)
    ...more
    Numerical simulation of blood flow in the heart
    Numerical simulation of blood flow in the heart
    (courtesy of Prof. Alfio Quarteroni)

    iHEART, which refers to “integrated heart model for the simulation of the cardiac function”, represents one of the first attempts in the world to create a complete mathematical model of the human heart.

  • brain1
    Statistical analysis of high-dimensional
    neuroimaging data
    (Courtesy of Prof. Laura Sangalli)
    ...more
    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)
    ...more
    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)
    ...more
    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)
    ...more
    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.

  • estrusion
    Numerical simulation of polymer extrusion
    (courtesy of Pof. Marco Verani)
    ...more
    Numerical simulation of polymer extrusion
    Numerical simulation of polymer extrusion
    (courtesy of Pof. Marco Verani)

    Numerical simulations of complex fluids in moving domains is of crucial importance to improve the performance of the extrusion process in several industrial applications.

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.

Today's events
Upcoming events

  • may 12 mon 2025

    		Seminar
    Wojciech Górecki, Fundamental bounds for the metrology of open quantum systems,  05-12-2025, 11:00
    logo matematica
    • Seminar
    • Wojciech Górecki
    • Università di Pavia
    • Fundamental bounds for the metrology of open quantum systems
    • Monday, 12 May 2025 at 11:00
    • Aula Seminari - III piano. Zoom link: polimi-it.zoom.us/j/98193479401?pwd=erIyNXKLNBPYszVUmps1PuI4xg1ztq.1
    • Abstract
      Quantum mechanics allows for enhanced measurement precision beyond classical limits by harnessing entanglement and/or long-time coherence. However, these resources are highly sensitive to noise, making their use in open quantum systems particularly challenging. At the same time, optimizing metrological protocols analytically or numerically becomes increasingly difficult as system size and measurement complexity grow. Nonetheless, for quantum systems governed by a master equation, it is possible to derive fundamental, protocol-independent bounds on achievable precision. These bounds provide an objective benchmark to assess existing strategies and identify potential for improvement. In this seminar, I will present these fundamental bounds, first introduced by A. Fujiwara and H. Imai and later extended by R. Demkowicz-Dobrzaski, S. Zhou, L. Jiang, among others. I will illustrate the framework through examples involving interferometry and cavity parameter estimation under photon loss, with particular attention to critical metrology and continuous measurement in the steady-state regime.

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

  • may 12 mon 2025

    		Seminar
    Ángela Capel Cuevas, Thermalization of open quantum many-body systems,  05-12-2025, 14:00 precise
    logo matematica
    • Seminar
    • Ángela Capel Cuevas
    • University of Cambridge
    • Thermalization of open quantum many-body systems
    • Monday, 12 May 2025 at 14:00 right
    • Aula seminari III piano, Ed. 14 Campus Leonardo
    • Abstract
      The study of thermalization in open quantum systems is a fundamental topic in modern quantum physics, with implications for quant m information, condensed matter, and statistical mechanics.
      This course provides a comprehensive introduction to the dynamics of open quantum systems, focusing on how interactions with the environment drive systems toward thermal equilibrium. We will explore key concepts such as quantum master equations, decoherence, and the role of dissipation in quantum evolution. Understanding quantum dissipative evolutions, modelled by local Lindbladians, is key to controlling this noise and enhancing the coherence of quantum memories. Recent advancements in dissipative state engineering, which leverage these evolutions to stabilize quantum states against noise, have shown promise in experimental results. Additionally, rapid decoherence can aid in preparing relevant phases of matter and estimating algorithm runtimes.

      In these lectures, we will investigate thermalization in open quantum systems governed by Lindbladians, focusing on the speed of convergence to thermal equilibrium. We will derive conditions for rapid mixing and briefly review how to utilize these findings to develop efficient algorithms to prepare Gibbs states.

      Full Schedule: Monday, May 12th, 14.00 - 16.00

      Wednesday, May 14th, 10:00 - 12:00

      Thursday, May 15th, 14:00 - 16:00

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

  • may 13 tue 2025

    		Seminar
    Eliana Tolosa Villarreal, Factoriality of Lovász-Saks-Schrijver rings,  05-13-2025, 11:00 precise
    logo matematica
    • Seminar
    • Eliana Tolosa Villarreal
    • Università di Genova
    • Factoriality of Lovász-Saks-Schrijver rings
    • Tuesday, 13 May 2025 at 11:00 right
    • Aula seminari III piano
    • Abstract
      Every simple finite graph \(G\) has an associated Lovász-Saks-Schrijver ring \(R_G(d)\) that is related to the \(d\)-dimensional orthogonal representations of \(G\). The study of \(R_G(d)\) lies at the intersection between algebraic geometry, commutative algebra, and combinatorics. We find a link between algebraic properties, such as factoriality, of \(R_G(d)\) and combinatorial invariants of the graph \(G\). In particular, we prove that if \(d \geq pmd(G)+k(G)+1\), then \(R_G(d)\) is UFD. Here, \(pmd(G)\) is the positive matching decomposition number of \(G\) and \(k(G)\) is its degeneracy number.

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

  • may 15 thu 2025

    		MOX Seminar
    Dan Givoli, Mixed-Dimensional Modeling for Time-Dependent Waves,  05-15-2025, 14:00
    logo matematica
    MOX
    MOX Numeth

    • MOX Seminar
    • Dan Givoli
    • Technion – Israel Institute of Technology
    • Mixed-Dimensional Modeling for Time-Dependent Waves
    • Thursday, 15 May 2025 at 14:00
    • Aula Saleri
    • Abstract
      In recent years, along with the increase in the size and complexity of computational models, the scenario of mixed-dimensional (e.g., 2D-1D or 3D-2D, and in general HighD-LowD) coupling has drawn a lot of attention. Fields of application where this scenario is of special interest include, among others, (a) blood-flow analysis, (b) hydrological and geophysical flow models, and (c) elastic structures. In this talk we will review and discuss the application of several coupling schemes to time-dependent wave problems governed by the scalar wave equation and by the equations of elastodynamics.
      After providing the motivation for mixed-dimensional modeling, we will consider the hybrid problem at the continuous level. We will discuss the appropriate interface conditions and prove the well-posedness of the hybrid problem. Among the coupling methods for mixed-dimensional models, we will discuss the Panasenko method, the Nitsche method and two versions of the Dirichlet-to-Neumann (DtN) method. The various methods differ in the way they implement the coupling conditions. We will also discuss the appropriate placement of the HighD-LowD interface, and how this can be estimated a priori and a posteriori. The hybrid model is discretized by the finite element method.
      A special challenge is the attack of elastic problems involving out-of-plane bending. The difficulty lies in the fact that there is a mismatch in the type of unknown variables between the HighD and LowD models, and that there is a significant difference between the types of differential equations and between the types of finite elements (C0 vs. C1) used in each part of the problem. We will present an appropriate coupling approach for such problems.
      We will show the results of some numerical experiments using the various methods, and will compare between them in accuracy and efficiency.

      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

  • 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 22 thu 2025

    		Seminar
    Carlo Nitsch, Improving a Spectral Inequality by Payne,  05-22-2025, 15:15
    logo matematica
    • Seminar
    • Carlo Nitsch
    • Università degli Studi di Napoli - Federico II
    • Improving a Spectral Inequality by Payne
    • Thursday, 22 May 2025 at 15:15
    • Sala Consiglio - VII Piano
    • Abstract
      A celebrated inequality by Payne relates the first eigenvalue of the Dirichlet Laplacian to the first eigenvalue of the buckling problem. Motivated by the goal of establishing a quantitative version of this inequality, we show that Payne’s original estimate—which is not sharp—can in fact be improved. Our result provides a refined spectral bound and opens the way to further investigations into quantitative enhancements of classical inequalities in spectral theory.

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

  • may 23 fri 2025

    		Seminar
    Cristina Trombetti, Some free boundary problems in thermal insulation,  05-23-2025, 11:00 precise
    logo matematica
    • Seminar
    • Cristina Trombetti
    • Università degli Studi di Napoli Federico II
    • Some free boundary problems in thermal insulation
    • Friday, 23 May 2025 at 11:00 right
    • Aula consiglio, settimo piano, ed. 14 "La Nave", Dipartimento di Matematica, Politecnico di Milano
    • Abstract
      Free boundary problems in partial differential equations (PDEs) are a class of mathematical problems in which both the solution to the PDE and the domain on which it is defined must be determined simultaneously, as the region is not known in advance. These problems arise in many physical and engineering contexts, such as fluid dynamics, solid mechanics, and heat conduction. In this talk, we will focus on certain free boundary problems related to thermal insulation, where either the boundary itself must be found, or the presence of an insulating material requires determining its optimal placement in order to minimize heat loss or maximize energy efficiency.

    • 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

  • may 29 thu 2025

    		Seminar
    Vittorino Pata, Weak Solutions of Linear Differential Equations in Hilbert Spaces,  05-29-2025, 15:15
    logo matematica
    • Seminar
    • Vittorino Pata
    • Politecnico di Milano
    • Weak Solutions of Linear Differential Equations in Hilbert Spaces
    • Thursday, 29 May 2025 at 15:15
    • Aula Seminari - III Piano
    • Abstract
      We address the well-posedness of weak solutions for a general linear evolution problem on a separable Hilbert space. For this classical problem there is a well-known challenge of obtaining a priori estimates, as a constructed weak solution may not be regular enough to be utilized as a test function. This issue presents an obstacle for obtaining uniqueness and continuous dependence of solutions.
      When formal energy estimates ara available, we provide a general notion of weak solution and, through a straightforward observation, obtain that arbitrary weak solutions have additional time regularity and obey an a priori estimate. This yields weak well-posedness. Our result rests upon a central hypothesis asserting the existence of a "good" Galerkin basis for the construction of a weak solution. A posteriori, a strongly continuous semigroup may be obtained for weak solutions, and by uniqueness, weak and semigroup solutions are equivalent.

    • 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
    logo matematica
    • 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
    logo matematica
    • 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
    logo matematica
    • 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

  • sep 08 mon 2025

    sep 11 thu 2025

    		WorkShop
    Perspectives in geometric analysis
    09/08/2025 - 09/11/2025
    logo matematica
    • WORKSHOP
    • PGA25
    • organizers
      Giovanni Catino, Dario D. Monticelli, Alberto Roncoroni
    • The aim of the workshop is to focus on different recent advances in geometric analysis and its applications.
    • Monday, 8 September 2025 - Thursday, 11 September 2025
      Aula Consiglio - 7th floor
    Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

  • sep 18 thu 2025

    		MOX Colloquia
    Malgorzata Peszynska, Multi-* mathematics and simulations of coupled processes the Arctic,  09-18-2025, 14:00
    logo matematica
    MOX

    • MOX Colloquia
    • Malgorzata Peszynska
    • Department of Mathematics, Oregon State University
    • Multi-* mathematics and simulations of coupled processes the Arctic
    • Thursday, 18 September 2025 at 14:00
    • Sala Consiglio, Edificio 14, Politecnico di Milano
    • Abstract
      We present our joint work with many collaborators on multi-physics and multiple scales, with focus on processes in  the Arctic, a vast and complex environment of great current interest, with physical models sharing some (but not all) features with high alpine environments and other cold regions.  Our interest is in robust, accurate and conservative computational schemes for the multi-physics: thermal, flow and mechanical deformation (TpHM) in the snow, ice and soils responding to the forcings from the environment for which the data is sparse. The models account for multiple phases and components and present challenges due to the presence of free boundary e.g. of freezing/thawing/sublimation, strong dependence of constitutive parameters on the micro-physics of TpHM, disparate time scales, and micro- and macro heterogeneity. We show how to build constitutive relationships for Darcy scale models from the first principles at the interface- and pore-scale by a combination of mathematically rigorous theory, practical computational upscaling, and surrogate data science tools. We illustrate with simulations of practical scenarios.

      Contatto:
      alessio.fumagalli@polimi.it
    • Malgorzata Peszynska

      Malgorzata Peszynska

      Malgorzata Peszynska received her Ph.D. in Mathematics from University of Augsburg, and M.S. and Habilitation from Warsaw University of Technology. She held academic positions at Polish Academy Of Sciences, Warsaw University of Technology, Purdue University, and The University of Texas at Austin. She has been at Oregon State since 2003 as a full professor since 2012. In 2019-21 she served as a Program Director at the NSF DMS (National Science Foundation, Division of Mathematical Sciences). She is a 2024 University Distinguished Professor, 2022-24 Joel Davis Faculty Scholar, AAAS Honorary Fellow; 2021 SIAM Geosciences Career Prize recipient; 2017 Kosciuszko Foundation College of Eminent Scientists, and holder of OSU Mathematics Graduate mentoring award (2016), Joel Davis Excellence award (2016). She is a 2009-10 Fulbright Research Fellow, as well as Mortar Board professor (2004). She believes in "paying it forward" : M. Peszynska also held leadership and service positions at SIAM (Society for Industrial and Applied Mathematics) including President of SIAM Pacific Northwest Section (2018-20) and SIAM Geosciences (2009-10) and AWM (Association for Women in Mathematics), is serving on editorial boards for 4+ journals, and on the Executive Board of Pacific Math Alliance. She directed several postdocs, doctoral, masters and undergraduate students; see MP people. Her research is in broadly defined applied and computational mathematics modeling of real life phenomena, with foundations in analysis and other core mathematics, and with interdisciplinary applications and collaborations in geosciences (hydrology and oceanography), engineering, and material science.

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

  • oct 09 thu 2025

    		MOX Colloquia
    Mark Girolami, Statistical Finite Element Methods,  10-09-2025, 14:00
    logo matematica
    MOX
    MOX Numeth

    • MOX Colloquia
    • Mark Girolami
    • University of Cambridge
    • Statistical Finite Element Methods
    • Thursday, 9 October 2025 at 14:00
    • Aula Consiglio - VII piano
    • Abstract
      The finite element method (FEM) is one of the great triumphs of applied mathematics, numerical analysis and software development. Recent developments in sensor and signalling technologies enable the phenomenological study of complex natural and physical systems. The connection between sensor data and FEM has been restricted to solving inverse problems placing unwarranted faith in the fidelity of the mathematical description of the system under study. If one concedes mis-specification between generative reality and the FEM then a framework to systematically characterise this uncertainty is required. This talk will present a statistical construction of the FEM which systematically blends mathematical description with data observations by endowing the Hilbert space of FEM solutions with the additional structure of a Probability Measure.
    • Mark Girolami

      Mark Girolami

      Mark Girolami is the Sir Kirby Laing Professor of Civil Engineering within the Department of Engineering at the University of Cambridge where he also holds the Royal Academy of Engineering Research Chair in Data Centric Engineering. Prior to joining the University of Cambridge Professor Girolami held the Chair of Statistics in the Department of Mathematics at Imperial College London. He is the Chief Scientist of the Alan Turing Institute, which is the UK national institute for Data Science and AI. Professor Girolami is an elected fellow of the Royal Academy of Engineering and the Royal Society of Edinburgh, he was an EPSRC Advanced Research Fellow (2007-2012), an EPSRC Established Career Research Fellow (2012-2018), a recipient of a Royal Society Wolfson Research Merit Award, and in 2023 was awarded the Guy Medal in Silver by the Royal Statistical Society. He delivered the IMS Medallion Lecture at the Joint Statistical Meeting 2017, and the Bernoulli Society Forum Lecture at the European Meeting of Statisticians 2017.

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