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 About us...

  Department of Excellence

Upcoming Events
Upcoming Events
  • oct 07 wed 2026

     Seminar
    Sergej Monavari, Tetrahedron instantons via Quot schemes and quivers,  10-07-2026, 14:00 precise
    logo matematica
    • Seminar
    • Sergej Monavari
    • Università di Padova
    • Tetrahedron instantons via Quot schemes and quivers
    • Wednesday, 7 October 2026 at 14:00 right
    • Aula seminari, terzo piano
    • Abstract
      Tetrahedron instantons were recently introduced by Pomoni-Yan-Zhang in string theory, as a way to describe systems of D0-D6 branes with defects. We propose a rigorous geometric (and Physics-free!) interpretation of their work. We will explain how to naturally construct the moduli space of tetrahedron instantons as a Quot scheme, parametrizing quotients of a torsion sheaf over a certain singular threefold, and how to construct a virtual fundamental class in this setting using quiver representations. Finally, we will show how to formalize mathematically the invariants considered by Pomoni-Yan-Zhang (initially defined via supersymmetric localization in Physics) and how to rigorously compute them using torus actions and the combinatorics of plane partitions, solving some open conjectures. Joint work with Nadir Fasola.
    • Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • oct 08 thu 2026

    oct 09 fri 2026

     WorkShop
    Algodefi 26: algorithmic trading, decentralized finance and artificial intelligence in capital markets
    10/08/2026 - 10/09/2026
    logo matematica
    • WORKSHOP
    • ALGODEFI26
      Algodefi 26: algorithmic trading, decentralized finance and artificial intelligence in capital markets
    • organizers
      Emilio Barucci and Michele Azzone
    • Dates: October 8–9, 2026 Venue: Department of Mathematics, Politecnico di Milano Submission and registration are open on the conference website. Call for Papers: Accepting full papers or extended abstracts Deadline for Submission: September 1st, 2026 Notification of Acceptance: September 15th, 2026 Deadline for Registration: September 25th, 2026 Keynote Speakers Eduardo Abi Jaber (École Polytechnique) Sebastian Jaimungal (University of Toronto) We will have an industry-Oriented Session in a dedicated afternoon. Scientific Committee Emilio Barucci (Chair), Tomaso Aste, Michele Azzone, Leandro Sánchez Betancourt, Andrea Prampolini Description 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, and 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.
    • Thursday, 8 October 2026 - Friday, 9 October 2026
      Department of Mathematics
    Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
  • oct 08 thu 2026

     Seminar
    Mario Fuest, Chemotaxis systems with logistic source: boundedness vs. blow-up,  10-08-2026, 14:30
    logo matematica
    • Seminar
    • Mario Fuest
    • Leibniz Universität Hannover, Institut für Angewandte Mathematik
    • Chemotaxis systems with logistic source: boundedness vs. blow-up
    • Thursday, 8 October 2026 at 14:30
    • Aula seminari III piano
    • Abstract
      This talk addresses the qualitative behaviour of solutions to Keller–Segel systems incorporating superlinear degradation terms, which describe the aggregation of organisms in response to chemical signals while accounting for population growth.

      We show (both for the fully parabolic system as well as for certain parabolic–elliptic simplifications) that solutions are always globally bounded if the logistic-type degradation is sufficiently strong while certain weaker but still superlinear dampening terms still allow for solutions blowing up in finite time.
    • Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • oct 15 thu 2026

     MOX Colloquia
    Gabriel Peyré, The Expressive Power of Large Language Models,  10-15-2026, 14:30
    logo matematica
    MOX

    • MOX Colloquia
    • Gabriel Peyré
    • CNRS, DMA, École Normale Supérieure
    • The Expressive Power of Large Language Models
    • Thursday, 15 October 2026 at 14:30
    • Sala Consiglio, Edificio 14, Politecnico di Milano
    • Abstract
      Large language models process vast sequences of input tokens by alternating between classical multi-layer perceptron layers and self-attention mechanisms. While the approximation capabilities of perceptrons are relatively well understood, those of attention mechanisms remain less explored. In this talk, I will compare the proof techniques and approximation results associated with these two types of layers, emphasizing key open questions that connect large language models with approximation theory in infinite-dimensional spaces representing input token distributions.


      Contatto:
      marco.verani@polimi.it
    • Gabriel Peyré

      Gabriel Peyré

      Gabriel Peyré is a CNRS senior researcher and professor at the École Normale Supérieure, Paris. He works at the interface between applied mathematics and machine learning, developing theoretical and numerical methods in Optimal Transport to analyze the training of deep neural networks and to address applications in single-cell genomics. He is also engaged in promoting reproducible research and coding education, particularly through the platform numerical-tours.com. He obtained 3 ERC grants (starting in 2010, consolidator in 2017 and advanced in 2024), the Blaise Pascal prize from the French Academy of Sciences in 2017, the Magenes Prize from the Italian Mathematical Union in 2019, and the silver medal from CNRS in 2021. He is an invited speaker at the European Congress for Mathematics in 2020 and the International Congress of Mathematicians in 2026. He is the deputy director of the Prairie Institute for Artificial Intelligence, the director of the ENS IA Lab, and of the ELLIS Paris Unit.
    • Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • oct 16 fri 2026

     Seminar
    Edriss Titi, Recent Advances Concerning the Navier-Stokes and Euler Equations,  10-16-2026, 15:00
    logo matematica
    • Seminar
    • Edriss Titi
    • University of Cambridge; Texas A&M University; The Weizmann Institute of Science
    • Recent Advances Concerning the Navier-Stokes and Euler Equations
    • Friday, 16 October 2026 at 15:00
    • Aula Consiglio, 7° piano
    • Abstract
      In this talk we will discuss some recent progress concerning the Navier-Stokes and Euler equations of incompressible fluid. In particular, issues concerning the lack of uniqueness using the convex integration machinery and their physical relevance. Moreover, we will discuss the Onsager conjecture for the preservation of energy in Euler equations, and its possible extension for the preservation of generalized entropy in general conservation laws and inviscid systems. In addition, we will present a blow-up criterion for the 3D Euler equations based on a class of inviscid regularization for these equations and the effect of physical boundaries on the potential formation of singularity.
    • Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • nov 02 mon 2026

    nov 06 fri 2026

     WorkShop
    Model reduction and surrogate modeling 2026
    11/02/2026 - 11/06/2026
    logo matematica
    • WORKSHOP
    • MORe2026
      Model reduction and surrogate modeling 2026
    • organizers
      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.
    • Monday, 2 November 2026 - Friday, 6 November 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
  • nov 09 mon 2026

    nov 13 fri 2026

     WorkShop
    Two workshops on mathematics for sustainability
    11/09/2026 - 11/13/2026
    logo matematica
    • WORKSHOP
    • M4E-M4H
      Two workshops on mathematics for sustainability
    • organizers
      M4H - Scientific Committee: Luca Dedè (SC chair), Pasquale Ciarletta, Francesca Ieva, Laura Maria Sangalli, Paolo Zunino; M4H - Organizing Committee: Francesco Regazzoni (OC chair), Francesca Bonizzoni, Ivan Fumagalli, Stefano Pagani, Andrea Signori; M4E - Scientific Committee: Simona Perotto (SC chair), Alessio Fumagalli, Andrea Manzoni, Daniele Marazzina, Edie Miglio, Simone Vantini, Marco Verani; M4E - Organizing Committee: Anna Scotti (OC chair), Michele Azzone, Michele Botti, Gabriele Ciaramella, Carlo De Falco, Ilario Mazzieri, Alessandra Menafoglio
    • The second edition of the initiative “Mathematics for Sustainability” will take place in November 2026, as part of the activities of the Department of Excellence, Department of Mathematics, Politecnico di Milano. The initiative is organized into two workshops: Mathematics for Planet Earth (M4E), November 9-11, 2026 Mathematics for our Health (M4H), November 11-13, 2026 Both events will be held at Politecnico di Milano (Leonardo Campus, Aula Rogers). Mathematics for Planet Earth aims to highlight the fundamental role of mathematics in understanding the challenges related to our planet. Presentations will cover several areas, including climate change, resource management, and conservation. Participants will have the opportunity to learn about state-of-the-art mathematical methodologies for understanding and preserving our planet. Mathematics for our Health brings together experts at the intersection of mathematics, data science, and medical research to explore innovative models for improving healthcare. The workshop will focus on how mathematical, computational, statistical, and machine learning techniques can support the development of precision medicine, optimize healthcare resource allocation, and improve the analysis and management of multimodal patient data. Further information is available on the events' webpages: https://www.mate.polimi.it/events/M4H26/ https://www.mate.polimi.it/events/M4E26/
    • Monday, 9 November 2026 - Friday, 13 November 2026
      Politecnico di Milano, Milan, Italy
    Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
  • nov 18 wed 2026

    feb 03 wed 2027

     WorkShop
    19° ciclo seminari fds
    11/18/2026 - 02/03/2027
    logo matematica
    • WORKSHOP
    • Seminari FDS
      19° ciclo seminari fds
    • organizers
      Marco Bramanti e Domenico Brunetto
    • I seminari FDS, nati nel 2008, sono momenti di riflessione su contenuti e metodi dell’insegnamento scolastico della matematica.
    • Wednesday, 18 November 2026 - Wednesday, 3 February 2027
      Aula Laboratorio FDS - http://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
  • nov 18 wed 2026

     Seminar
    Sonia Spreafico, Dalla piega al teorema: l'origami come laboratorio di matematica nella scuola secondaria di secondo grado,  11-18-2026, 15:00
    logo matematica
    • Seminar
    • Sonia Spreafico
    • Università degli Studi di Milano
    • Dalla piega al teorema: l'origami come laboratorio di matematica nella scuola secondaria di secondo grado
    • Wednesday, 18 November 2026 at 15:00
    • Aula Laboratorio FDS - tiny.cc/zoomfds
    • Politecnico di Milano, Dipartimento di Matematica edificio 14, via E. Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • nov 27 fri 2026

     WorkShop
    Evolution equations & dynamical systems
    11/27/2026
    logo matematica
    • WORKSHOP
    • VIS60
      Evolution equations & dynamical systems
    • organizers
      Monica Conti, Filippo Dell'Oro, Andrea Giorgini, Maurizio Grasselli
    • a tribute to Vittorino Pata for his 60th birthday
    • Friday, 27 November 2026 - Friday, 27 November 2026
      Aula Consiglio, Dipartimento di Matematica
    Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
  • dec 02 wed 2026

     Seminar
    Mattia Ricchi, Fisica medica e imaging biomedico: quando la fisica rende visibile l'invisibile,  12-02-2026, 15:00
    logo matematica
    • Seminar
    • Mattia Ricchi
    • Università di Bologna
    • Fisica medica e imaging biomedico: quando la fisica rende visibile l'invisibile
    • Wednesday, 2 December 2026 at 15:00
    • Aula Laboratorio FDS - tiny.cc/zoomfds
    • Mattia Ricchi

      Mattia Ricchi





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

  • dec 14 mon 2026

     WorkShop
    Bridging analysis and geometry
    12/14/2026
    logo matematica
    • WORKSHOP
    • Bridging analysis and geometry
    • organizers
      Giulia Meglioli, Marco Pozzetta, Alberto Roncoroni
    • The workshop brings together early-career researchers in PDEs and Differential Geometry to share recent advancements, discuss open problems, and build new scientific collaborations. This event is supported by INdAM (Istituto Nazionale di Alta Matematica) and by the Department of Mathematics, Politecnico di Milano.
    • Monday, 14 December 2026 - Monday, 14 December 2026
      Aula Consiglio - 7th floor, Building 14, Politecnico di Milano, Via Bonardi 9 - 20133 Milano (Italy)
    Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
  • dec 16 wed 2026

     Seminar
    Marco Caroccia, La brachistocrona restaurata,  12-16-2026, 15:00
    logo matematica
    • Seminar
    • Marco Caroccia
    • Università degli studi di Firenze
    • La brachistocrona restaurata
    • Wednesday, 16 December 2026 at 15:00
    • Aula Laboratorio FDS - tiny.cc/zoomfds
    • Marco Caroccia

      Marco Caroccia



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

  • jan 13 wed 2027

     Seminar
    Camilla Spagnolo, Oltre la risposta corretta: riflettere sull'insegnamento della matematica nell'era dell'Intelligenza Artificiale,  01-13-2027, 15:00
    logo matematica
    • Seminar
    • Camilla Spagnolo
    • Università degli studi di Ferrara
    • Oltre la risposta corretta: riflettere sull'insegnamento della matematica nell'era dell'Intelligenza Artificiale
    • Wednesday, 13 January 2027 at 15:00
    • Aula Laboratorio FDS - tiny.cc/zoomfds
    • Camilla Spagnolo

      Camilla Spagnolo



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

  • jan 27 wed 2027

     Seminar
    Laura Abatangelo & Sara Maggis, Dal laboratorio di fisica alle funzioni di più variabili: spunti per un'esperienza didattica,  01-27-2027, 15:00
    logo matematica
    • Seminar
    • Laura Abatangelo & Sara Maggis
    • Politecnico di Milano, Liceo Statale A. Banfi di Vimercate
    • Dal laboratorio di fisica alle funzioni di più variabili: spunti per un'esperienza didattica
    • Wednesday, 27 January 2027 at 15:00
    • Aula Laboratorio FDS - tiny.cc/zoomfds
    • Laura Abatangelo & Sara Maggis

      Laura Abatangelo & Sara Maggis



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

  • feb 03 wed 2027

     Seminar
    Paolo Freguglia, François Viète e la nascita dell'algebra letterale: analisi storica e considerazioni didattiche,  02-03-2027, 15:00
    logo matematica
    • Seminar
    • Paolo Freguglia
    • Università de L’Aquila
    • François Viète e la nascita dell'algebra letterale: analisi storica e considerazioni didattiche
    • Wednesday, 3 February 2027 at 15:00
    • Aula Laboratorio FDS - tiny.cc/zoomfds
    • Paolo Freguglia

      Paolo Freguglia




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

  • feb 08 mon 2027

    feb 12 fri 2027

     WorkShop
    Mathematical challenges in quantum mechanics 2027, school and workshop
    02/08/2027 - 02/12/2027
    logo matematica
    • WORKSHOP
    • MCQM27
      Mathematical challenges in quantum mechanics 2027, school and workshop
    • organizers
      Michele Correggi (Polimi), Marco Falconi (Polimi), Davide Fermi (Polimi), Angelo Lucia (Polimi), Massimo Moscolari (Polimi), Alessandro Olgiati (Polimi).
    • From February 8th to 12th, 2027, the School and Workshop Mathematical Challenges in Quantum Mechanics (MCQM27) will take place at the Department of Mathematics of Politecnico di Milano (Italy). The meeting – at its fifth edition – aims to present the state of the art of challenging open problems in Quantum Mechanics, from the point of view of Mathematical Physics. It will provide a space for scientific exchanges among PhD students and early-career and senior researchers. The program will consist of three introductory mini courses (by Phan Thành Nam, Yoshiko Ogata, Andreas Winter), six invited talks (by Horia Cornean, Marcello Dalmonte, Clotilde Fermanian Kammerer, Paolo Tilli, Katharina Schratz, Giovanni Valente) and contributed talk sessions by selected young participants. Some financial support to young participants will be available. Website: www.mcqm.it This event is part of the activities of the Department of Exellence 2023-27.
    • Monday, 8 February 2027 - Friday, 12 February 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
  • jul 05 mon 2027

    jul 09 fri 2027

     WorkShop
    International conference on spectral and high-order methods
    07/05/2027 - 07/09/2027
    logo matematica
    • WORKSHOP
    • ICOSAHOM2027
      International conference on spectral and high-order methods
    • organizers
      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.
    • Monday, 5 July 2027 - Friday, 9 July 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
  • aug 30 mon 2027

    sep 03 fri 2027

     WorkShop
    Advances in computational neurology: mathematical modeling, simulation, and data-driven methods
    08/30/2027 - 09/03/2027
    logo matematica
    • WORKSHOP
    • AXON
      Advances in computational neurology: mathematical modeling, simulation, and data-driven methods
    • organizers
      Paola F. Antonietti, Francesca Bonizzoni, Ivan Fumagalli, Niteen Kumar, Stefano Pagani
    • Computational neurology aims to support neurologists by developing physics-based and data-driven models of the human central nervous system under both physiological and pathological conditions. Through high-performance simulations, multiscale mechanisms and multiphysics processes that are difficult to measure in vivo can be investigated. Moreover, integrating clinical data into these models enables personalization, forming the foundation for digital twins that support diagnosis, treatment planning, and monitoring. Bringing these approaches into clinical practice is an interdisciplinary challenge that opens new opportunities in precision medicine. The proposed school aims to provide participants with a comprehensive introduction to the fundamental principles of mathematical multiscale and multiphysics models of nervous system function, as well as state-of-the-art methods for the numerical approximation of these complex models and data-driven strategies for model personalization from multi-modal data. In addition, medical doctors will share their clinical perspective and highlight the most pressing challenges encountered in patient care. The event is part of the activities of "Dipartimento di Eccellenza" - Line 2
    • Monday, 30 August 2027 - Friday, 3 September 2027
      Lake Como School of Advanced Studies, Villa del Grumello
    Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
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