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Dipartimento d'eccellenza

Prossimi Eventi

mar 13 ven 2026

Seminar
Vojkan Jaksic, Some remarks on open quantum systems, 13-03-2026, ore 10:30 precise
- Seminar
- Vojkan Jaksic
- Politecnico di Milano
- Some remarks on open quantum systems
- Venerdì 13 marzo 2026 alle ore 10:30 precise
- Sala Consiglio
- Abstract
  
  The spin–boson model is the simplest non-exactly solvable model describing the interaction of matter with radiation. I will review the historical development of this model, beginning with Einstein’s 1917 derivation of Planck’s law from detailed balance between emission and absorption of radiation, and Dirac’s 1927 paper “The Quantum Theory of the Emission and Absorption of Radiation.” The Araki–Woods representation of the canonical commutation relations, introduced in 1963, has its roots in these early works and lies at the heart of modern developments in the study of the spin–boson model. I will explain its role in these developments and discuss some open problems.
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568
mar 13 ven 2026

MOX Events
Sergio Alejandro Gomez Macias, A variational perspective on Galerkin-type time discretizations, 13-03-2026, ore 11:00
- MOX Events
- Sergio Alejandro Gomez Macias
- University of Milano Bicocca
- A variational perspective on Galerkin-type time discretizations
- Venerdì 13 marzo 2026 alle ore 11:00
- Aula Saleri
- Abstract
  
  Galerkin-type time discretizations provide a robust and flexible tool for the numerical approximation of time-dependent problems. By formulating the temporal evolution in a variational setting, these methods are endowed with outstanding stability and approximation properties, as well as a more natural reproduction of key features of the continuous problem at the discrete level. This talk gives an overview of continuous and discontinuous Galerkin time discretizations for parabolic and hyperbolic problems, highlighting their interpretation as variational time integrators and their advantages over classical time-stepping schemes. We also discuss the main challenges in the stability analysis of these methods, and present a recent approach that closes several gaps in the literature.
  
  Contatto:
  paola.antonietti@polimi.it
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568
mar 13 ven 2026

Seminar
Michal Wrochna, Quasi-free states and Araki-Woods representation, 13-03-2026, ore 14:30
- Seminar
- Michal Wrochna
- Universiteit Utrecht
- Quasi-free states and Araki-Woods representation
- Venerdì 13 marzo 2026 alle ore 14:30
- Sala Consiglio
- Abstract
  
  The lecture will introduce a modern mathematical point of view on the modular structure of bosonic quasi-free states, with a focus on applications in relativistic QFT. In particular I will discuss applications to the Unruh effect and to entanglement entropy.
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568
mar 13 ven 2026

Seminar
Michele Graffeo, The geometry of the nested Hilbert schemes of points: components and their schematic structure, 13-03-2026, ore 14:30 precise
- Seminar
- Michele Graffeo
- Politecnico di Milano
- The geometry of the nested Hilbert schemes of points: components and their schematic structure
- Venerdì 13 marzo 2026 alle ore 14:30 precise
- Aula Seminari III piano
- Abstract
  
  Hilbert schemes of points on a quasi-projective variety $X$ are classical objects in algebraic geometry. Roughly speaking, they parametrise ideals of a polynomial ring with complex coefficients having finite colength. Although Hilbert schemes always have a distinguished component called the smoothable component, their geometry is quite pathological and many of the open problems around them concern their irreducibility and their schematic structure. In a recent work with Lella, we generalise some of our previous results and provide a systematic way to build elementary and generically non-reduced components of the nested Hilbert scheme of points. Moreover, we study reducibility for those schemes. As a by-product of the theory we develop, we also get new information about the geometry of the classical Hilbert schemes of points on singular hypersurfaces of $\mathbb A^3$. In my talk I will present these results and I will give an idea of the main techniques we have used.
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568
mar 16 lun 2026

MOX Events
Alfio Borzì, Reservoir Computing for Scientific Modeling and Data Analysis, 16-03-2026, ore 10:30
- MOX Events
- Alfio Borzì
- University of Wuerzburg
- Reservoir Computing for Scientific Modeling and Data Analysis
- Lunedì 16 marzo 2026 alle ore 10:30
- Aula Saleri
- Abstract
  
  A survey of reservoir computing (RC) as a dynamical framework for learning, classification, prediction, and data analysis is presented. Three reservoir architectures are considered: the echo-state network, a FitzHugh-Nagumo excitable network, and a transformer-inspired reservoir, which are implemented to perform tasks of increasing complexity: learning logical functions, physics-informed solving of the damped harmonic oscillator (including autonomous rollout), image classification with an untrained convolutional front-end, and multi-input RC for CLIP-style language-image pre-training.
  
  Contatto:
  gabriele.ciaramella@polimi.it
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

mar 19 gio 2026

MOX Colloquia
Sebastian Geiger, Modelling for understanding – old problems and new challenges for the energy transition, 19-03-2026, ore 14:00

MOX Colloquia
Sebastian Geiger
Delft University of Technology
Modelling for understanding – old problems and new challenges for the energy transition
Giovedì 19 marzo 2026 alle ore 14:00
Sala Consiglio, Dipartimento di Matematica, Politecnico di Milano
Abstract

Geoenergy applications beyond hydrocarbons will play an essential role in accelerating the energy transition: Carbon capture and storage (CCS) is one of the most important approaches to mitigate CO2 emissions; approximately 50% of the energy consumed in the northern hemisphere is needed for heating and cooling, and the expanded use of geothermal energy could lead to significant CO2 reduction; the development of a hydrogen economy for power, transport, and production will rely on intermittent hydrogen storage in geological formations or salt caverns.

All these low-carbon geoenergy applications need bespoke reservoir modelling approaches to estimate available pore volumes for storage, capture how fluids with vastly different properties (e.g. hydrogen vs. hot water) interact with multi-scale geological heterogeneities, and quantify possible operational risks (e.g., early breakthrough of cold water during geothermal energy extraction) while accounting for the uncertainties inherent to geological formations.

This talk will explore how mathematical techniques could be adapted to overcome limitations in existing modelling approaches for low-carbon geoenergy applications. Such new modelling approaches should help to ensure that we design meaningful reservoir models that can provide reservoir performance forecasts with reliable uncertainty bounds, which are needed for new geoenergy applications to advance our transition to a low-carbon energy future.

Contatto:
alessio.fumagalli@polimi.it

Sebastian Geiger

Prof. Dr. Sebastian Geiger, FREng, FRSE, FGS is the Professor of Sustainable Geoenergy and Energi Simulation Chair at the Department of Geoscience and Engineering at the Delft University of Technology. Before joining the Delft University of Technology in 2022, he spent 16 years at Heriot-Watt University where he held the Energi Simulation Chair for Fractured and Geothermal Reservoirs, was the Director of the Institute of Geoenergy Engineering, and was Director of Research for the School of Energy, Geoscience, Infrastructure, and Society.

Sebastian received a PhD degree in Computational Geology from ETH Zurich in 2004 and worked at ETH Zurich as a postdoctoral researcher. He holds an MSc degree in Hydrogeology from Oregon State University (2000) and a Vordiplom (equivalent to BSc degree) in Geology and Mineralogy from the University of Freiburg, Germany (1997). He joined Heriot-Watt University in 2006 as an Assistant Professor and was promoted to Associate Professor in 2009 and Full Professor in 2010.

In 2017 Sebastian received the Alfred Wegener Award from the European Association of Geoscientists and Engineers (EAGE). In 2020 he was appointed as a Fellow of the Royal Society of Edinburgh, Scotland’s national academy of science and letters. In 2022 he was elected as a Fellow of the Royal Academy of Engineering in the UK and in 2024 as a Fellow of the Geological Society of London. He has published over 200 reviewed conference papers and peer-reviewed journals and edited one book. He graduated over 30 PhD students, supervised over 100 MSc project theses, and trained over 10 postdoctoral researchers.

Sebastian is the Editor-in-Chief for the journal Geoenergy and works closely with professional societies such as the European Association of Geoscientists and Engineers. He is also an instructor for HOT Engineering, is a Board Member for the Scottish Energy Forum, and a scientific advisor to NAGRA (Swiss National Cooperative for the Disposal of Radioactive Waste). Together with Dr Hadi Hajibeygi, he created the Geoscience and Geoenergy YouTube Channel, which broadcasts webinars to an audience of over 3700 subscribers across the world.

Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

mar 19 gio 2026

Seminar
Giulio Schimperna, Some recent results on the so-called ''Cahn-Hilliard-Keller-Segel'' system, 19-03-2026, ore 14:30
- Seminar
- Giulio Schimperna
- Università di Pavia
- Some recent results on the so-called ''Cahn-Hilliard-Keller-Segel'' system
- Giovedì 19 marzo 2026 alle ore 14:30
- Aula Seminari, terzo piano
- Abstract
  
  In this talk we will present some mathematical results regarding the so-called "Cahn-Hilliard-Keller-Segel'' system. This is a recently proposed model which couples the Cahn-Hilliard system for phase separation with a further equation describing the evolution of an additional variable $\sigma$. The main application of the model refers to tumor growth processes, in which the phase variable $\varphi$ represents the local proportion of active cancer cells, whereas $\sigma$ denotes the concentration of a chemical substance (for instance a nutrient or a drug) affecting the evolution of the tumor. In this setting, the equation for $\sigma$ may be characterized by a quadratic cross-diffusion term similar to that occurring in the Keller-Segel model for chemotaxis.
  In the talk we will discuss about existence, uniqueness and regularity of several classes of solutions ("weak", "strong" and "entropic") under various assumptions on the mass and nutrient source terms occurring in the system; in a specific situation we will also analyze the long-time behavior of solutions under the perspective of infinite-dimensional dynamical systems.
- Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

apr 16 gio 2026

MOX Colloquia
Carola-Bibiane Schönlieb, Mathematical Imaging in the Era of AI, 16-04-2026, ore 14:00

MOX Colloquia
Carola-Bibiane Schönlieb
Head of the Cambridge Image Analysis group, University of Cambridge
Mathematical Imaging in the Era of AI
Giovedì 16 aprile 2026 alle ore 14:00
Sala Consiglio, Edificio 14, Politecnico di Milano
Abstract

Mathematical imaging has for decades been a powerful catalyst for new developments across the mathematical sciences. At its core lie fundamental questions about how information can be represented, reconstructed, and interpreted from incomplete, noisy, or indirect data. Addressing these questions has led to deep advances in areas such as functional and harmonic analysis, geometry, variational methods, inverse problems, partial differential equations, probability and statistics, and, more recently, learning theory. The resulting interplay between theory, computation, and applications has made imaging a uniquely fertile meeting point for pure and applied mathematics alike. Applications span an extraordinary range of domains, including biomedical and materials imaging, astronomy, environmental science, cultural heritage, and emerging technologies such as autonomous systems and data-driven diagnostics.
The rapid rise of artificial intelligence is now reshaping the landscape of imaging science once again. Data-driven approaches, in particular deep learning, have achieved remarkable empirical success in tasks such as reconstruction, segmentation, and synthesis. At the same time, their opaque nature and heavy reliance on data raise fundamental mathematical questions concerning stability, generalisation, interpretability, uncertainty quantification, and the incorporation of prior knowledge and physical constraints.
In this talk, I will present mathematical imaging as a continuing source of new mathematical ideas and challenges in the age of AI. I will highlight how modern approaches seek to blend data-driven models with structure, geometry, and physical principles, giving rise to novel analytical frameworks and computational paradigms. This perspective positions imaging not merely as an application area, but as a driver for the next generation of mathematical theory at the interface of analysis, computation, and learning.

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 at the talk.

Contatti:
laura.sangalli@polimi.it
paola.antonietti@polimi.it

Carola-Bibiane Schönlieb

Carola-Bibiane Schönlieb is Professor of Applied Mathematics at the University of Cambridge. There, she is head of the Cambridge Image Analysis group. Since 2011 she is a fellow of Jesus College Cambridge. Her current research interests focus on variational methods, partial differential equations and machine learning for image analysis, image processing and inverse imaging problems, and the mathematical foundations of machine learning. She has active interdisciplinary collaborations with clinicians, biologists and physicists on biomedical imaging topics, chemical engineers and plant scientists on image sensing, as well as collaborations with artists and art conservators on digital art restoration.
Her research has been acknowledged by scientific prizes, among them the LMS Whitehead Prize 2016, the Philip Leverhulme Prize in 2017, the Calderon Prize 2019, a Royal Society Wolfson fellowship in 2020, a doctorate honoris causa from the University of Klagenfurt in 2022, and by invitations to give invited lectures at several renowned applied mathematics conferences, including SIAM, ICM and ICIAM. She is also a SIAM fellow, and ELLIS fellow and a fellow of the Academy of the Mathematical Sciences.
Carola graduated from the Institute for Mathematics, University of Salzburg (Austria) in 2004. From 2004 to 2005 she held a teaching position in Salzburg. She received her PhD degree from the University of Cambridge (UK) in 2009. After one year of postdoctoral activity at the University of Göttingen (Germany), she became a Lecturer at Cambridge in 2010, promoted to Reader in 2015, promoted to Professor in 2018, and elected to the Professorship of Applied Mathematics (2006) in 2025. Carola convened the European Women in Mathematics Association between 2016 and 2020 and chaired the Committee for Applications and Interdisciplinary Relations (CAIR) of the EMS from 2021 to 2025. She also has been holding several leadership positions at SIAM.

Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

giu 15 lun 2026

giu 19 ven 2026

Convegno
Indam workshop: geometry of severi varieties and hurwitz spaces
15/06/2026 - 19/06/2026
- CONVEGNO
- Indam workshop: geometry of severi varieties and hurwitz spaces
- organizzatori
  K. Christ, S. Molcho, S. Torelli
- Hurwitz spaces and Severi varieties are among the most classical spaces studied in algebraic geometry, going back to the beginnings of modern algebraic geometry in the second half of the 19th century. Since that time, they have remained central objects in the theory of algebraic curves. Though very classical objects, new techniques have in recent years been used to find answers to old questions, and to establish many new connections. The aim of the workshop is to bring together experts in these various approaches in order to explore further applications and possible synergies. Particular areas of focus are the global geometry of Severi varieties and Hurwitz spaces, as well as relations to Brill Noether theory and to the moduli space of curves and its subloci.
- Lunedì 15 giugno 2026 - Venerdì 19 giugno 2026
  Palazzone di Cortona, Cortona, Italy.
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
giu 29 lun 2026

lug 03 ven 2026

Convegno
Commutative algebra and algebraic geometry in milan
29/06/2026 - 03/07/2026
- CONVEGNO
- CAAG26
  Commutative algebra and algebraic geometry in milan
- organizzatori
  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
- Lunedì 29 giugno 2026 - Venerdì 3 luglio 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
ago 31 lun 2026

set 03 gio 2026

Convegno
Late summer conference in geometric analysis
31/08/2026 - 03/09/2026
- CONVEGNO
- Late summer conference in geometric analysis
- organizzatori
  Luca Benatti, Mattia Fogagnolo, Alessandra Pluda, Marco Pozzetta, Alberto Roncoroni.
- This event brings together an international group of specialists to discuss cutting-edge topics in Geometric Analysis, such as minimal surfaces, isoperimetric problems, Lorentzian geometry, general relativity, geometric evolution equations, and geometric problems in the calculus of variations. Our goal is to turn recent progress into meaningful exchanges, giving participants fresh insights and new techniques to use in their own research on open problems.
- Lunedì 31 agosto 2026 - Giovedì 3 settembre 2026
  Università degli Studi di Padova
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
nov 02 lun 2026

nov 06 ven 2026

Convegno
Model reduction and surrogate modeling 2026
02/11/2026 - 06/11/2026
- CONVEGNO
- MORe2026
  Model reduction and surrogate modeling 2026
- organizzatori
  Andrea Manzoni (Chair), Nicolò Botteghi, Luca Dede', Nicola Farenga, Nicola Rares Franco, Andrea Manzoni, Simona Perotto, Piermario Vitullo, Paolo Zunino (Organizing Committee)
- This 5-day conference will bring together the international community of computational scientists, engineers, mathematicians, and domain experts from industry, the national laboratories and academia to address the topic of model reduction and surrogate modeling for high-dimensional complex systems.
- Lunedì 2 novembre 2026 - Venerdì 6 novembre 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
lug 05 lun 2027

lug 09 ven 2027

Convegno
International conference on spectral and high-order methods
05/07/2027 - 09/07/2027
- CONVEGNO
- ICOSAHOM2027
  International conference on spectral and high-order methods
- organizzatori
  P.F. Antonietti, N. Parolini, M. Verani (Conference Chairs), C. Canuto, A. Quarteroni (Honorary Chairs), L. Beirao da Veiga, F. Bonizzoni, L. Dede’, I. Fumagalli, P. Gervasio, C. Marcati, L. Mascotto, I. Mazzieri, S. Perotto, G. Sangalli
- Since 1989, the International Conference on Spectral and High-Order Methods (ICOSAHOM) has served as a leading international forum for researchers and practitioners working on the theoretical, computational, and applied aspects of high-order and spectral methods for solving differential equations. The 2027 edition of ICOSAHOM will be proudly hosted by Politecnico di Milano, bringing together experts from around the world to share the latest advances and foster new collaborations in this vibrant field. ICOSAHOM 2027 is a satellite meeting of the 11th International Congress on Industrial and Applied Mathematics (ICIAM), The Hague, The Netherlands, 12-16 July 2027.
- Lunedì 5 luglio 2027 - Venerdì 9 luglio 2027
  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