Call for applications

The second additional call for applications is now open.

The PhD course on Mathematical Models and Methods in Engineering offers 2 scholarships with free research topic and 5 thematic scholarships.

The candidates will be selected according to the evaluation of the
curriculum and a project illustrating a possible research plan.

https://www.dottorato.polimi.it/futuri-dottorandi/bandi-e-regolamenti/ciclo-41/2-bando-aggiuntivo-2025-26

The next call containing other free and thematic scholarships will be
opened in November.

Upcoming events

sep 26 fri 2025

MOX Seminar
Marcella Bonazzoli, Seismic imaging of a dam-rock interface using Full Waveform Inversion, 09-26-2025, 11:00
- MOX Seminar
- Marcella Bonazzoli
- Inria, Institut Polytechnique de Paris
- Seismic imaging of a dam-rock interface using Full Waveform Inversion
- Friday, 26 September 2025 at 11:00
- Aula Saleri
- Abstract
  
  In this talk we are interested in reconstructing the interface between the concrete structure of a hydroelectric gravity dam and the underlying rock, using Full Waveform Inversion. Indeed, it appears that the roughness of the dam-rock interface has an effect on the sliding stability of gravity dams.
  
  We minimize a regularized misfit cost functional by computing its shape derivative and iteratively updating the interface shape by the gradient descent method. At each iteration, we simulate time-harmonic elasto-acoustic wave propagation models, coupling linear elasticity in the solid medium with acoustics in the reservoir. Numerical results using realistic noisy synthetic data demonstrate the method ability to accurately reconstruct the dam-rock interface, even with a limited number of measurements.
  
  This is joint work with Mohamed Aziz Boukraa, Lorenzo Audibert, Houssem Haddar and Denis Vautrin.
  
  Contatto:
  ilario.mazzieri@polimi.it
- 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. This initiative is part of the “Ph.D. 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 Ph.D. students, followed by meetings with the speaker to discuss and go into detail on the topics presented during the talk.
- 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
oct 16 thu 2025

oct 17 fri 2025

WorkShop
Algodefi25-algorithmic trading, decentralized finance and artificial intelligence in capital markets
10/16/2025 - 10/17/2025
- WORKSHOP
- ALGODEFI25
  Algodefi25-algorithmic trading, decentralized finance and artificial intelligence in capital markets
- organizers
  Scientific committee: Emilio Barucci (chair), Tomaso Aste, Michele Azzone, Leandro Sánchez Betancourt, Andrea Prampolini
- Call for papers: papers or extended abstract Deadline for submission: September 1st Notification of acceptance: September 15th Deadline for registration: October 1st Keynote speakers: - Paul Besson (Head of Quant Research, Euronext) TBD - Thierry Foucault (HEC Paris) AI-Powered traders and liquidity in securities markets - Martin Herdegen (University of Stuttgart) Optimal Dynamic Fees in Automated Market Makers - Eyal Neumann (Imperial College) Fredholm Approach to Nonlinear Propagator Models The landscape of financial markets is changing significantly thanks to new technologies and methodologies that are profoundly modifying their architecture and functioning. Among the innovations, we have the possibility of operating using real-time market information, machine learning techniques, automatic trading strategies, automatic market making, distributed ledger technologies, digital assets, smart contracts, cryptocurrencies. The objective of the workshop is to offer an opportunity for the academic and industrial communities to meet and discuss research advancements on these topics. Sponsorship: Banca Intesa Sanpaolo, IASON Ltd Under the auspices of ASSIOM FOREX, SHIELD Project
- Thursday, 16 October 2025 - Friday, 17 October 2025
  Politecnico di Milano Venue: Department of Mathematics, Conference Room: Aula Rogers
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
oct 16 thu 2025

MOX Colloquia
Colin Cotter, Compatible finite elements for numerical weather prediction, 10-16-2025, 14:00
- MOX Colloquia
- Colin Cotter
- Imperial College
- Compatible finite elements for numerical weather prediction
- Thursday, 16 October 2025 at 14:00
- Sala Consiglio, Dipartimento di Matematica, Politecnico di Milano
- Abstract
  
  I will discuss the application of compatible finite element methods to large scale atmosphere and ocean simulation. Compatible finite element methods extend Arakawa's “C-grid” finite difference scheme to the finite element world. They are constructed from a discrete de Rham complex, which is a sequence of finite element spaces which are linked by the operators of differential calculus. The use of discrete de Rham complexes to solve partial differential equations is well established, but in this talk I focus on the specifics of dynamical cores for simulating weather, oceans and climate. The most important consequence of the discrete de Rham complex is the Hodge-Helmholtz decomposition, which has been used to exclude the possibility of several types of spurious oscillations from linear equations of geophysical flow. This means that compatible finite element spaces provide a useful framework for building dynamical cores. In this talk I will introduce the main concepts of compatible finite element spaces, and discuss their wave propagation properties. I will then cover a selection of the following topics (depending on recent advances, and interests of the audience): practical application to numerical weather prediction and ocean models, structure preserving methods, and scalable iterative solver techniques.
- Colin Cotter
  Colin Cotter is Professor of Computational Mathematics at Imperial College, researching numerical analysis and scientific computing focusses on the design, analysis and implementation of numerical methods and data assimilation algorithms for weather forecasting, ocean modelling and climate simulation. His work on compatible finite element methods underpins the next generation Met Office forecast modelling system. He has co-authored over 100 journal publications, and co-authored a book with Sebastian Reich on data assimilation published by Cambridge University Press. He has served on the editorial board of three journals. He was awarded a PhD in Mathematics at Imperial in 2004 under the supervision of Sebastian Reich, and subsequently held positions in the departments of Earth Science and Engineering and Aeronautics before rejoining the department of Mathematics in 2014, where he is is currently the head of Applied Mathematics in the Department of Mathematics at Imperia, and is co-Director of the UCL/Imperial EPSRC Centre for Doctoral Training in Collaborative Computational Modelling at the Interface.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
oct 24 fri 2025

WorkShop
One day on variational problems
10/24/2025
- WORKSHOP
- CVT25
  One day on variational problems
- organizers
  Monica Conti, Ilaria Fragala e Filippo Gazzola
- A half-day workshop in celebration of Franco Tomarelli’s 70th birthday
- Friday, 24 October 2025 - Friday, 24 October 2025
  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
nov 11 tue 2025

MOX Seminar
Kent-Andre Mardal, Mathematical challenges of modeling the fluid flow of the brain - brain clearance, sleep and dementia, 11-11-2025, 10:00
- MOX Seminar
- Kent-Andre Mardal
- Simula Research Laboratory
- Mathematical challenges of modeling the fluid flow of the brain - brain clearance, sleep and dementia
- Tuesday, 11 November 2025 at 10:00
- Aula Saleri
- Abstract
  
  Recent theories suggest that a fundamental reason for sleep is simply clearance of metabolic waste produced during the activities of the day. A crucial component of these theories are the fluid flow within and around the brain, in health and disease.
  
  In this talk we will present multi-physics problems and numerical schemes that target these applications. In particular, we will be lead from basic applications of neuroscience into multi-physics problems and interfaces coupled problems involving Stokes, Biot, and Darcy problems for describing the fluid-structure interaction between the brain and its fluids. Particular focus for us has been the exploitation of fractional solvers at the brain-fluid interface for creating efficient monolithic solvers.
  
  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
mar 05 thu 2026

MOX Colloquia
Tilmann Gneiting, Assessing Monotone Dependence, 03-05-2026, 14:00
- MOX Colloquia
- Tilmann Gneiting
- HITS Heidelberg Institute for Theoretical Studies
- Assessing Monotone Dependence
- Thursday, 5 March 2026 at 14:00
- Aula Consiglio - VII piano
- Abstract
  
  The assessment of monotone dependence between random variables $X$ and $Y$ is a classical problem in statistics and a gamut of application domains. Consequently, researchers have sought measures of association that are invariant under strictly increasing transformations of the margins, with the extant literature being splintered. Rank correlation coefficients, such as Spearman's rho and Kendall's tau, have been studied at great length in the statistical literature, mostly under the assumption that $X$ and $Y$ are continuous. In the case of a dichotomous outcome $Y$, receiver operating characteristic (ROC) analysis and the asymmetric area under the ROC curve (AUC) measure are used to assess monotone dependence of $Y$ on a covariate $X$. In this talk I demonstrate that the two thus far disconnected strands of literature can be unified and bridged, by developing common population level theory, common estimators, and common tests that apply to all types of linearly ordered outcomes. In case studies, we assess progress in artificial intelligence (AI) based weather prediction and evaluate methods of uncertainty quantification for the output of large language models. The talk is based on joint work with Eva-Maria Walz and Andreas Eberl.
- Tilmann Gneiting
  Tilmann Gneiting received a PhD degree in Mathematics from the University of Bayreuth in Germany in 1997. From 1997 to 2009, he held faculty positions in the Department of Statistics at the University of Washington in Seattle (United States), before moving to the Institute of Applied Mathematics at Heidelberg University in Germany. Since 2013, he has been serving in a joint position as Professor of Computational Statistics at Karlsruhe Institute of Technology (KIT) and Group Leader at the Heidelberg Institute for Theoretical Studies (HITS). Tilmann's research focuses on two main areas, spatial and spatio-temporal statistics, and the theory and practice of forecasting. In 2011, he was awarded an ERC Advanced Grant in support of his research on probabilistic predictions. From 2016 to 2018 Tilmann served as Editor-In-Chief for the Annals of Applied Statistics, and in 2023 and 2024 he held the position of Scientific Director at HITS. Recent awards include the Ulf Grenander Prize in Stochastic Theory and Modeling (2024) by the American Mathematical Society and the Wald Memorial Award (2026) by the Institute of Mathematical Statistics.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568