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.

Upcoming events

oct 28 tue 2025

MOX Seminar
Alice Cicirello, Dealing with uncertainty in real-world engineering applications, 10-28-2025, 10:30
- MOX Seminar
- Alice Cicirello
- Cambridge University - Engineering Department
- Dealing with uncertainty in real-world engineering applications
- Tuesday, 28 October 2025 at 10:30
- Aula Saleri
- Abstract
  
  This talk will describe recent advances in inverse uncertainty quantification for structural dynamics, and current open challenges [1,2]. Particular focus will be given on discussing challenges in dealing with uncertainty in the data, physics and knowledge encountered in real-world engineering applications, especially when hybrid physics-data (i.e. physics-enhanced machine learning) models are developed.
  
  Uncertainty in the “data” will be discussed in terms of small volume of data and limited knowledge on prior distribution [3], multimodal distributions [4], spatial measurements correlation [5], and the need to obtain virtual measurements at critical locations [6].
  
  The problem of using a physics-based model that is not “complete” or correct in a hybrid physics-data model, would lead to a wrong uncertainty quantification of the model parameters. A “disentanglement” strategy [7] is going to be presented to identify and attribute variability observed in response measurements of an engineering system to variability stemming from the modelled physics, domain, and class influences is going to be introduced.
  
  Finally, an approach for dealing with the uncertainty in the knowledge of the force function model to be used to described non-smooth nonlinearities is going to be presented [8].
  
  Real-world engineering applications would span from laboratory setups to bridges and offshore wind turbines.
  
  [1] Cicirello A., Physics-Enhanced Machine Learning: a position paper for dynamical systems investigations, 2024 J. Phys.: Conf. Ser. 2909 012034, XIVth International Conference on Recent Advances in Structural Dynamics 01/07/2024 - 03/07/2024 Southampton, United Kingdom.
  
  [2] Kamariotis A, Vlachas K., Dertimanis V., Koune I., Cicirello A., Chatzi E., On the consistent classification and treatment of uncertainties in Structural Health Monitoring applications, ASME J. Risk Uncertainty Part B, 2024.
  
  [3] Igea F., Cicirello A., An interacting Wasserstein gradient flow strategy to robust Bayesian inference for application to decision-making in engineering, Data-Centric Engineering, 2025.
  
  [4] Igea F., Cicirello A., Cyclical Variational Bayes Monte Carlo for Efficient Multi-Modal Posterior Distributions Evaluation, MSSP, 2023
  
  [5] Koune I., Rozsas I., Slobbe A., Cicirello A., Bayesian system identification for structures considering spatial and temporal correlation. Data Centric Engineering, 2023.
  
  [6] Zou J., Lourens E., Cicirello A., Virtual sensing of subsoil strain response in monopile-based offshore wind turbines via Gaussian process latent force models, MSSP, 2023.
  
  [7] Koune I., Cicirello A., Adversarial Disentanglement by Backpropagation with Physics-Informed Variational Autoencoder. Preprint: arxiv.org/abs/2506.13658
  
  [8] Lathourakis C., Cicirello, A., Physics Enhanced Sparse Identification of Dynamical Systems with Discontinuous Nonlinearities. Nonlinear Dynamics, 2024
  
  Contatto:
  andrea.manzoni1@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 28 tue 2025

Seminar
Anna Donadini, Directed polymer in space-correlated disorder, 10-28-2025, 11:00
- Seminar
- Anna Donadini
- Università di Milano-Bicocca
- Directed polymer in space-correlated disorder
- Tuesday, 28 October 2025 at 11:00
- Aula Seminari - III piano. Zoom link: polimi-it.zoom.us/j/92962991099
- Abstract
  
  Directed polymers in random environments describe a perturbation of the simple random walk by a random disorder (environment). The partition function of such models has been extensively studied in recent years, also due to its connection with the solution of the Stochastic Heat Equation. While classical results focus on space-time independent disorder, we investigate the case of a Gaussian environment with (critically) space-correlated disorder. We show that, similarly to the independent case, a phase transition occurs: when the disorder strength is below a critical threshold, the log-partition function satisfies a central limit theorem; above this threshold, it converges to zero in distribution. Remarkably, the appropriate scaling constant for the disorder, as well as the correct limiting variance, emerge from a non-trivial induction scheme that reflects the critical nature of the correlation.
  (Joint work with Clément Cosco and Francesca Cottini)
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
oct 29 wed 2025

Seminar
Sara Torelli, Brill-Noether loci of pencils with prescribed ramification, 10-29-2025, 14:00 precise
- Seminar
- Sara Torelli
- Università degli Studi di Torino
- Brill-Noether loci of pencils with prescribed ramification
- Wednesday, 29 October 2025 at 14:00 right
- Aula Seminari III piano
- Abstract
  
  Classical Brill-Noether theory studies projective algebraic curves through maps to projective space, using the language of linear series. A natural refinement of this framework considers linear series with prescribed ramification, leading to a deeper understanding of the geometry of curves and their maps. In this talk, I will address the problem of the existence and dimension of Brill–Noether varieties of pencils (i.e., linear series of rank one) with prescribed ramifications. I will compare this refined theory to the classical Brill–Noether problem, and present recent joint work with Andreas Leopold Knutsen, which yields new results and improves upon the previous state of the art.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
oct 30 thu 2025

Seminar
Franco Ciccacci, Spin in semiconductors: a passion that has lasted for over 40 years, 10-30-2025, 15:00 precise
- Seminar
- Franco Ciccacci
- Politecnico di Milano - Dipartimento di Fisica
- Spin in semiconductors: a passion that has lasted for over 40 years
- Thursday, 30 October 2025 at 15:00 right
- Aula Consiglio, VII Piano
- Abstract
  
  The talk will focus on spin physics in semiconductors, including a historical overview (starting with the pioneering studies of the sixties and seventies) and recent developments aimed at the realization of spintronic devices. Experimental methods for studying spin properties in semiconductors will be discussed, as well as the role of deposition/fabrication techniques, which enable the realization of nanostructured samples (ultrathin films, quantum wells, multilayers). Topics such as electron spin injection and spin relaxation times will be addressed. Special emphasis will be given to optical methods and Group IV semiconductors, a research field in which my group at the Department of Physics is particularly active.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
nov 04 tue 2025

Seminar
Tristan Benoist, Introduction to repeated quantum measurements, 11-04-2025, 16:00 precise
- Seminar
- Tristan Benoist
- CNRS - Université de Toulouse
- Introduction to repeated quantum measurements
- Tuesday, 4 November 2025 at 16:00 right
- Sala Consiglio, VII piano
- Abstract
  
  In these 4 hours, I will introduce the main results in the theory of quantum repeated measurements.
  
  Given the background and allowed time, I discuss the following topics.
  1- Quantum Instruments and repeated quantum measurements dynamical system definitions
  2- Quantum channel Perron-Frobenius theorem, ergodicity and mixing of the dynamical system
  3- Limit theorems through the spectral and martingale approximation methods
  4- Large deviation principle and hypothesis testing
  5- Quantum trajectories, purification and limit theorems
  
  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
nov 05 wed 2025

Seminar
Francesco Russo, On the tangent degree and the degree of the tangent variety of a projective variety, 11-05-2025, 14:00 precise
- Seminar
- Francesco Russo
- Università di Catania
- On the tangent degree and the degree of the tangent variety of a projective variety
- Wednesday, 5 November 2025 at 14:00 right
- Sala Consiglio VII piano
- Abstract
  
  The tangent degree $\tau(X)$ of a projective variety $X^n\subset\mathbb P^N$ is the number of tangent spaces to $X$ at smooth points passing through a general point of the tangent variety $Tan(X)\subseteq\mathbb P^N$, if positive and finite; it is equal to zero if $\dim(Tan(X))$ < $2n$.
  
  We shall focus on general properties of $\tau(X)$ and of $\deg(Tan(X))$. For example $\tau(X)\neq 1$ if $N=2n$ and, as soon as $Tan(X)$ does not coincide with the secant variety, we prove a linear lower bound for the degree of $Tan(X)$ in terms of its codimension, generalizing the classical Bertini-del Pezzo lower bound for arbitrary varieties.
  
  Then we shall present some results about the cases in which the previous two invariants attain the lower bounds present, either in small dimension/codimension and/or under the smoothness assumption.
  
  Finally, if time allows, for $N\geq 2n+1$ we consider varieties $X^n\subset\mathbb P^N$ having $\tau(X)$ > $1$ and provide their classification in small dimension.
  
  This is joint work with Jordi Hernandez Gomez.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
nov 05 wed 2025

Seminar
Edoardo Bocchi, Meccanica dei fluidi a scuola: esperimenti e teoria, 11-05-2025, 15:00 precise
- Seminar
- Edoardo Bocchi
- Politecnico di Milano
- Meccanica dei fluidi a scuola: esperimenti e teoria
- Wednesday, 5 November 2025 at 15:00 right
- Aula Laboratorio FDS - tiny.cc/zoomfds
- Abstract
  
  Lo scopo del seminario è proporre attività pratiche
  e teoriche per introdurre la meccanica dei fluidi agli studenti della scuola
  secondaria. Da un lato, verranno presentati esperimenti semplici e facilmente
  replicabili in classe, utili per spiegare alcune proprietà fondamentali
  dei fluidi ed il principio di Bernoulli. Dall'altro, come primo approccio alla
  modellizzazione matematica, si partirà da due concetti cardine della
  fisica classica, la conservazione della massa e la seconda legge di Newton,
  per derivare un modello giocattolo che descrive il moto di un fluido
  comprimibile contenuto in un tubo.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
nov 05 wed 2025

Seminar
Tristan Benoist, Introduction to repeated quantum measurements, 11-05-2025, 16:00 precise
- Seminar
- Tristan Benoist
- CNRS - Université de Toulouse
- Introduction to repeated quantum measurements
- Wednesday, 5 November 2025 at 16:00 right
- Sala Consiglio, VII piano
- Abstract
  
  In these 4 hours, I will introduce the main results in the theory of quantum repeated measurements.
  
  Given the background and allowed time, I discuss the following topics.
  1- Quantum Instruments and repeated quantum measurements dynamical system definitions
  2- Quantum channel Perron-Frobenius theorem, ergodicity and mixing of the dynamical system
  3- Limit theorems through the spectral and martingale approximation methods
  4- Large deviation principle and hypothesis testing
  5- Quantum trajectories, purification and limit theorems
  
  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
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
nov 11 tue 2025

Seminar
Anna Szczepanek, Approach to equilibrium in quantum spin systems, 11-11-2025, 16:00 precise
- Seminar
- Anna Szczepanek
- Jagellonian University
- Approach to equilibrium in quantum spin systems
- Tuesday, 11 November 2025 at 16:00 right
- Aula Seminari III piano
- Abstract
  
  I will present the recent results in the ongoing research program on approach to equilibrium. Having reviewed the basics of quantum spin systems, I will discuss the following topics:
  
  1. Equilibrium steady states (ESS), constants of motion, and approach to thermal equilibrium.
  
  2. Dynamical conservation laws via the Lieb-Robinson bound
  
  3. Application of our theory to the mixed-field Ising chain, link to the ongoing research program on nonintegrable systems by Shiraishi et al.
  
  4. Variational characterization of ESS, approach to constrained equilibrium
  
  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
nov 12 wed 2025

Seminar
Anna Szczepanek, Approach to equilibrium in quantum spin systems, 11-12-2025, 16:00 precise
- Seminar
- Anna Szczepanek
- Jagellonian University
- Approach to equilibrium in quantum spin systems
- Wednesday, 12 November 2025 at 16:00 right
- Aula Seminari III piano
- Abstract
  
  I will present the recent results in the ongoing research program on approach to equilibrium. Having reviewed the basics of quantum spin systems, I will discuss the following topics:
  
  1. Equilibrium steady states (ESS), constants of motion, and approach to thermal equilibrium.
  
  2. Dynamical conservation laws via the Lieb-Robinson bound
  
  3. Application of our theory to the mixed-field Ising chain, link to the ongoing research program on nonintegrable systems by Shiraishi et al.
  
  4. Variational characterization of ESS, approach to constrained equilibrium
  
  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
nov 14 fri 2025

Seminar
Anna Szczepanek, Approach to equilibrium in quantum spin systems, 11-14-2025, 10:00 precise
- Seminar
- Anna Szczepanek
- Jagellonian University
- Approach to equilibrium in quantum spin systems
- Friday, 14 November 2025 at 10:00 right
- Sala Consiglio, VII piano
- Abstract
  
  I will present the recent results in the ongoing research program on approach to equilibrium. Having reviewed the basics of quantum spin systems, I will discuss the following topics:
  
  1. Equilibrium steady states (ESS), constants of motion, and approach to thermal equilibrium.
  
  2. Dynamical conservation laws via the Lieb-Robinson bound
  
  3. Application of our theory to the mixed-field Ising chain, link to the ongoing research program on nonintegrable systems by Shiraishi et al.
  
  4. Variational characterization of ESS, approach to constrained equilibrium
  
  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
nov 19 wed 2025

Seminar
Marco Pozzetta, Il salto del cavallo, la Congettura di Poincarè e altri invarianti, 11-19-2025, 15:00 precise
- Seminar
- Marco Pozzetta
- Politecnico di Milano
- Il salto del cavallo, la Congettura di Poincarè e altri invarianti
- Wednesday, 19 November 2025 at 15:00 right
- Aula Laboratorio FDS - tiny.cc/zoomfds
- Abstract
  
  La ricerca, l'uso e lo studio di oggetti cosiddetti "invarianti" sono idee estremamente comuni in tutta la storia della ricerca matematica. In questo seminario, cercheremo di spiegare il concetto generale di invariante risolvendo dapprima dei semplici indovinelli. Questo ci
  porterà a parlare della storia della Congettura di Poincarè, un problema di geometria formulato a inizio '900 e che ha trovato una soluzione solo nei primi anni 2000, portando una rivoluzione nell'analisi e nella geometria moderna. Infine, risolveremo insieme il problema della classificazione dei cosiddetti solidi platonici, esponendo una strategia che coinvolge un ultimo "invariante geometrico" e che può essere riproposta a studenti delle scuole superiori.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
dec 10 wed 2025

Seminar
Marco Antonio Pellegrini, Niccolò Tartaglia: gli anni dopo la disfida, 12-10-2025, 15:00 precise
- Seminar
- Marco Antonio Pellegrini
- Università Cattolica di Brescia
- Niccolò Tartaglia: gli anni dopo la disfida
- Wednesday, 10 December 2025 at 15:00 right
- Aula Laboratorio FDS - tiny.cc/zoomfds
- Abstract
  
  In questo incontro racconteremo gli anni forse meno noti della vita di Niccolò Tartaglia, quelli che seguirono la diatriba con Gerolamo Cardano.
  
  Tra il marzo del 1548 e l'ottobre del 1549, Tartaglia fece infatti ritorno a Brescia, sua città di origine, invitato da alcuni importanti personaggi per tenere delle lezioni sulla geometria di Euclide. Quello che doveva essere un ritorno trionfale nella sua città si rivelò invece essere un vero incubo per Tartaglia: mancati pagamenti, scomodi viaggi nella provincia, ospiti indesiderati a casa e, se ciò non bastasse, il cimento reale con Ludovico Ferrari a Milano. Tartaglia raccontò queste sue disavventure nella "Travagliata Inventione" e nel "General Trattato".
  
  Il racconto di queste vicende ci permetterà di approfondire anche l'opera del matematico bresciano, con particolare attenzione ai suoi contributi riguardanti la risoluzione algebrica delle equazioni di terzo grado.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
jan 14 wed 2026

Seminar
Francesca Ceragioli, Marco Abrate, Exploring Math: La bellezza delle curve parametriche, 01-14-2026, 15:00 precise
- Seminar
- Francesca Ceragioli, Marco Abrate
- Politecnico di Torino, IIS Fermi-Galilei Ciriè (TO)
- Exploring Math: La bellezza delle curve parametriche
- Wednesday, 14 January 2026 at 15:00 right
- Aula Laboratorio FDS - tiny.cc/zoomfds
- Abstract
  
  Exploring Math è il titolo di un libro che raccoglie l’esperienza del La.M.Po. (Laboratorio di Matematica del Politecnico di Torino) attraverso la descrizione di nove attività di laboratorio, inizialmente pensate per il primo anno di università e facilmente adattabili alla scuola secondaria. Queste attività sono state ideate per stimolare l’interesse per la matematica e per incoraggiarne lo studio: rendono la classe attiva mettendo al centro oggetti concreti e problemi reali. Pensiamo al problema di tracciare curve nel piano: non riguarda solo i matematici, ma anche, ad esempio, gli ingegneri meccanici e i costruttori. Questo è lo spunto per discutere di meccanismi che tracciano curve, interpretate come curve parametriche. Parleremo in particolare di come tracciare una retta. Non è facile come sembra.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
jan 21 wed 2026

Seminar
Anita Pasotti, Navigando con la Matematica, 01-21-2026, 15:00 precise
- Seminar
- Anita Pasotti
- Università di Brescia
- Navigando con la Matematica
- Wednesday, 21 January 2026 at 15:00 right
- Aula Laboratorio FDS - tiny.cc/zoomfds
- Abstract
  
  In questo seminario si esploreranno alcuni aspetti applicativi della Teoria dei Grafi e dell'Ottimizzazione Combinatoria, due settori della Matematica che hanno avuto un grande sviluppo negli ultimi decenni grazie alla loro capacità di modellizzare e risolvere problemi
  reali. L'intervento, che non richiede prerequisiti specifici, avrà un taglio divulgativo e sarà ricco di esempi per mostrare come la matematica sia fondamentale nel nostro quotidiano.
  
  Nella parte introduttiva si mostreranno appunto esempi concreti di utilizzo dei grafi in ambiti diversi: dalle neuroscienze per lo studio di malattie degenerative quali l'Alzheimer, allo studio delle relazioni tra utenti di un social network. Poi l'attenzione si sposterà sul settore dei trasporti, ambito in cui la teoria dei grafi trova grandi applicazioni. In particolare, verrà spiegato, in modo semplice e intuitivo, l'algoritmo di Djikstra alla base dei navigatori GPS, facendo alcuni richiami sugli algoritmi e ricordando figure fondamentali dal punto di vista storico quali Abu Ja'far Muhammad ibn Musa al-Khwarizmi e Ada Lovelace.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

jan 28 wed 2026

Seminar
Annalisa Cusi, Francesco Contel, L'uso dell'IA Generativa per supportare i processi metacognitivi nel problem solving matematico: criticità e sfide, 01-28-2026, 15:00 precise

Seminar
Annalisa Cusi, Francesco Contel
Sapienza Università di Roma
L'uso dell'IA Generativa per supportare i processi metacognitivi nel problem solving matematico: criticità e sfide
Wednesday, 28 January 2026 at 15:00 right
Aula Laboratorio FDS - tiny.cc/zoomfds
Abstract

In questo seminario saranno discussi i risultati di recenti studi mirati a investigare potenzialità e criticità connesse all’uso dell’IA generativa come strumento a supporto dei processi metacognitivi nella risoluzione di problemi matematici. Gli studi condotti hanno riguardato, in particolare, l’uso di GPT4o, da parte di studenti del biennio della scuola secondaria di II grado, per affrontare problemi che coinvolgono processi di esplorazione in ambito aritmetico, lo sviluppo di congetture e la costruzione di dimostrazioni attraverso l’uso del linguaggio algebrico.
A partire dalla riflessione sui principali schemi d’uso sviluppati dagli studenti nel corso della loro interazione con GPT4o e sulle interpretazioni che gli studenti danno dei processi di genesi strumentale che li vedono protagonisti, si evidenzieranno elementi di criticità caratterizzanti l’interazione tra utenti umani e IA generativa. Si concluderà proponendo spunti sul ruolo che i docenti possono svolgere nel supportare gli studenti nell’adottare un approccio critico e riflessivo all’uso dell’IA generativa nel problem solving matematico.
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

feb 04 wed 2026

Seminar
Mirko Maracci, Quale preparazione in matematica per l'università? come valutarla?, 02-04-2026, 15:00 precise
- Seminar
- Mirko Maracci
- Università di Pisa
- Quale preparazione in matematica per l'università? come valutarla?
- Wednesday, 4 February 2026 at 15:00 right
- Aula Laboratorio FDS - tiny.cc/zoomfds
- 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
jun 29 mon 2026

jul 03 fri 2026

WorkShop
Commutative algebra and algebraic geometry in milan
06/29/2026 - 07/03/2026
- WORKSHOP
- CAAG26
  Commutative algebra and algebraic geometry in milan
- organizers
  A. Constantinescu, A. D'Alì, P. Lella, A. Sammartano
- The conference will be focused on the interplay between topics in commutative algebra, such as syzygies and singularities, and topics in algebraic geometry, such as moduli spaces and rationality problems. Speakers Ayah Almousa (University of Kentucky) Benjamin Briggs (Imperial College London) David Eisenbud (UC Berkeley) Eleonore Faber (University of Graz) Gavril Farkas (Humboldt-Universität zu Berlin) Michele Graffeo (SISSA Trieste) Eloísa Grifo (University of Nebraska-Lincoln) Srikanth Iyengar (University of Utah) Joachim Jelisiejew (University of Warsaw) Patricia Klein (Texas A&M University) Margherita Lelli-Chiesa (Università degli Studi Roma Tre) Alex Massarenti (Università degli Studi di Ferrara) Irena Peeva (Cornell University) Claudia Polini (University of Notre Dame) Elisa Postinghel (Università degli Studi di Trento) Claudiu Raicu (University of Notre Dame) Ritvik Ramkumar (University of Notre Dame) Francesco Russo (Università degli Studi di Catania) Alexandra Seceleanu (University of Nebraska-Lincoln) Bernd Ulrich (Purdue University) Keller VandeBogert (University of Kentucky) Matteo Varbaro (Università degli Studi di Genova
- Monday, 29 June 2026 - Friday, 3 July 2026
  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