PhD program on Mathematical Models and Methods in Engineering - Dipartimento di Matematica

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)

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

apr 03 thu 2025

jul 10 thu 2025

WorkShop
Mathematics colloquium of milano: inaugural cycle
04/03/2025 - 07/10/2025
- WORKSHOP
- MCM
  Mathematics colloquium of milano: inaugural cycle
- organizers
  Fabrizio Andreatta, Giovanni Catino, Fabio E. G. Cipriani, Gregorio Falqui, Vincenzo Marra, Kevin Payne, Giuseppe Savaré, Thomas Weigel
- The departments of mathematics of the major Milano universities (Università di Milano, Politecnico di Milano, Università di Milano-Bicocca and Università Bocconi) are pleased to announce the inaugural cycle of a new distinguished lecture series, entitled: The Mathematics Colloquium of Milano Breakthroughs and Perspectives Over the years to come, mathematicians of international prominence will present and discuss the most important new ideas and breakthroughs in contemporary mathematics and its applications. Each lecture should be suitable for a general mathematical audience, especially Ph.D. students and Post-docs. The inaugural cycle of lectures is scheduled to take place from early April until mid-July of 2025.
- Thursday, 3 April 2025 - Thursday, 10 July 2025
  Milano
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

Upcoming events

may 05 mon 2025

may 07 wed 2025

WorkShop
Meeting on tomography and applications discrete tomography, neuroscience and image reconstruction 19th edition
05/05/2025 - 05/07/2025
- WORKSHOP
- TAIR
  Meeting on tomography and applications discrete tomography, neuroscience and image reconstruction 19th edition
- organizers
  Dulio Paolo - Politecnico di Milano, Andrea Frosini - Università di Firenze, Silvia Pagani - Università Cattolica del Sacro Cuore di Brescia, Paolo Finotelli - Università di Caen
- Moving from its original aim of sharing interdisciplinary aspects between the theoretical and the experimental research concerning X-ray tomography image reconstruction, the event has progressively included new topics. These touch on different kinds of inverse problems, ranging from neuroscience to discrete mathematics, to combinatorial structures, to convex geometry involving projections and sections
- Monday, 5 May 2025 - Wednesday, 7 May 2025
  Dipartimento di Matematica, 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
may 06 tue 2025

Seminar
Marco Radeschi, New bridges between metric geometry and algebra, 05-06-2025, 11:00 precise
- Seminar
- Marco Radeschi
- Università di Torino
- New bridges between metric geometry and algebra
- Tuesday, 6 May 2025 at 11:00 right
- Aula seminari III piano
- Abstract
  
  A manifold submetry is a map from a Riemannian manifold to a metric space, with smooth and equidistant fibers. Such objects appear in the literature in relation to rigidity phenomena, especially in the context of non-negative sectional curvature. In the past few years, it was shown that there is a one-to-one correspondence between manifold submetries from spheres and certain algebras of polynomials called Laplacian algebras, and through this correspondence a dictionary has been created between geometric properties of manifold submetries and algebraic properties of the corresponding algebra. In this talk we will survey these results, and discuss recent generalizations of these results to compact symmetric spaces and normal homogeneous spaces.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
may 07 wed 2025

Seminar
Alessandro Sbuelz, The Zero-Theta Hedge Contract, 05-07-2025, 12:15
- Seminar
- Alessandro Sbuelz
- Università Cattolica del Sacro Cuore
- The Zero-Theta Hedge Contract
- Wednesday, 7 May 2025 at 12:15
- Aula seminari, 3° piano
- Abstract
  
  We examine long-dated asset valuation under systematic and idiosyncratic risk, driven by extreme trajectories. By introducing the zero-Theta hedge contract, a negative-Delta derivative security with a maturity-independent price, we study investor attitudes toward systematic long-run crashes. Declining expected payoff with maturity signal strong crash aversion. The contract aids in decomposing the stochastic discount factor, shedding light on long-run crash risk premia. Even for volatile assets whose price comes from idiosyncratic rallies, systematic long-run crashes remain central to long-run risk valuation.
  Based on a joint work with Anna Battauz and Marzia De Donno.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
may 07 wed 2025

MOX Seminar
Luca Heltai, Mixed dimensional problems on non-matching grids at the exascale: solutions, challenges, and perspectives, 05-07-2025, 14:00
- MOX Seminar
- Luca Heltai
- University of Pisa
- Mixed dimensional problems on non-matching grids at the exascale: solutions, challenges, and perspectives
- Wednesday, 7 May 2025 at 14:00
- Aula Saleri
- Abstract
  
  This presentation addresses the challenges and solutions associated with mixed-dimensional problems on non-matching grids, with a perspective towards exascale computing. Many physical phenomena involve coupled partial differential equations (PDEs) defined on domains of heterogeneous dimensions, leading to non-matching coupling at the interfaces. To tackle these problems, the reduced Lagrange multiplier method [2] provides a general mathematical framework for analysis and approximation. This approach sheds light on the stability, well-posedness, and error associated with dimensionality reduction, but requires the efficient solution of saddle point problems involving non-matching discretizations.
  For the efficient numerical solution of the resulting large-scale systems, particularly on complex geometries like vascular networks embedded in biological tissues [1], we borrow a technique that was developed for non-nested multigrid methods, which offer the required flexibility by allowing the exchange of information between arbitrarily overlapping and distributed grid hierarchies with a matrix-free implementation [3], and we developed augmented Lagrangian-based preconditioners that offer optimal and scalable solutions [4].
  The continued development of such robust and scalable algorithms within high-performance finite element libraries like deal.II is crucial for tackling these challenging problems at the exascale.
  
  [1] Luca Heltai, Alfonso Caiazzo, and Lucas O. Müller, Multiscale coupling of one-dimensional vascular models and elastic tissues, Annals of Biomedical Engineering 49 (2021), 3243–3254.
  
  [2] Luca Heltai and Paolo Zunino, Reduced lagrange multiplier approach for non-matching coupling of mixed-dimensional domains, Mathematical Models and Methods in Applied Sciences 33 (2023), no. 12, 2425–2462.
  
  [3] Marco Feder, Luca Heltai, Martin Kronbichler, and Peter Munch, Matrix-free implementation of the non-nested multigrid method, Arxiv, 2024.
  
  [4] Michele Benzi, Marco Feder, Luca Heltai, and Federica Mugnaioni, Optimal and scalable augmented Lagrangian preconditioners for fictitious domain problems, Arxiv, 2025.
  
  Contatto:
  paola.antonietti@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 08 thu 2025

may 09 fri 2025

WorkShop
Quantum mathematics @ polimi 2025 : quantum information, entanglement and causality
05/08/2025 - 05/09/2025
- WORKSHOP
- QMP25 : QIEC
  Quantum mathematics @ polimi 2025 : quantum information, entanglement and causality
- organizers
  D. Fermi , A. Lucia , M. Moscolari , A. Olgiati , G. Valente (PoliMi)
- Quantum Mathematics @ Polimi is a three-months intensive research period focusing on several aspects of the mathematics of quantum systems.
- Thursday, 8 May 2025 - Friday, 9 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
may 08 thu 2025

Seminar
Claudia Bucur, S-minimal functions: existence and continuity, 05-08-2025, 14:15
- Seminar
- Claudia Bucur
- Università degli Studi di Milano Statale
- S-minimal functions: existence and continuity
- Thursday, 8 May 2025 at 14:15
- Aula Seminari - III Piano
- Abstract
  
  We discuss a nonlocal fractional problem that serves as a nonlocal counterpart of the classical problem of functions of least gradient. We show how we obtain the existence of minimizers by using their connection to nonlocal minimal sets. Additionally, we discuss the continuity of these minimizers and a weak formulation of the problem.
  The results presented are obtained in collaboration with S. Dipierro, L. Lombardini, J. Mazón and E. Valdinoci.
- 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
- 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
- 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
- WORKSHOP
- QMP25: PMOQ
  Quantum mathematics @ polimi 2025 : probabilistic methods for open quantum systems
- organizers
  F. Fagnola , D. Fermi , A. Lucia , M. Moscolari , A. Olgiati
- Quantum Mathematics @ Polimi is a three-months intensive research period focusing on several aspects of the mathematics of quantum systems.
- Monday, 19 May 2025 - Tuesday, 20 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
may 26 mon 2025

may 30 fri 2025

WorkShop
Quantum mathematics @ polimi 2025 : mathematics of condensed matter systems
05/26/2025 - 05/30/2025
- WORKSHOP
- QMP25 - MCMS
  Quantum mathematics @ polimi 2025 : mathematics of condensed matter systems
- 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
may 29 thu 2025

Seminar
Vittorino Pata, Weak Solutions of Linear Differential Equations in Hilbert Spaces, 05-29-2025, 15:15
- 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
- WORKSHOP
- QMP25 - RAOTA
  Quantum mathematics @ polimi 2025 : recent advances in operator theory and applications
- 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
- WORKSHOP
- EDUFIN25
  Financial education – why, what works, what doesn't and for whom
- 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
- WORKSHOP
- DD29
  29th international conference on domain decomposition methods
- 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
- WORKSHOP
- Differential geometry @ l'aquila 2025
- 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
- WORKSHOP
- New perspectives in nonlocal and nonlinear pde
- 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
- WORKSHOP
- PGA25
  Perspectives in geometric analysis
- 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
- 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 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
- 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 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