Research Groups

MATHEMATICAL ANALYSIS
ACTIVITY DESCRIPTION

Moving in the long-standing tradition of our Department, analysis@polimi is meant as a scientific forum where people from several areas in the field of Mathematical Analysis can share their expertises and tastes, aiming to a more unified vision of Mathematics, open both to new theoretical challenges and concrete applications.
analysis@polimi is also a place where young Ph.D. and postdoc students can find an active, stimulating environment to grow and develop their skills and scientific aptitudes, taking part in projects of international level and interacting with the senior members and with prominent visiting scholars.

Web page of the group: https://www.mate.polimi.it/analysis/

COMPONENTS OF THE GROUP
Upcoming events

  • may 04 mon 2026

    may 06 wed 2026

    		WorkShop
    Meeting on tomography and applications discrete tomography, neuroscience and image reconstruction 20th edition
    05/04/2026 - 05/06/2026
    logo matematica
    • WORKSHOP
    • TAIR
    • organizers
      Paolo Dulio - Politecnico di Milano; Paolo Finotelli – Université de Caen Normandie; Andrea Frosini - Università degli Studi di Firenze; Silvia Pagani - Università Cattolica del Sacro Cuore
    • This is the 20th edition of the Meeting, whose original aim was to share interdisciplinary aspects between the experimental research concerning X-ray tomography and the mathematical image reconstruction community. In the years, the focus of the Meeting moved from strictly tomographic subjects to different topics, where some kinds of inverse problems are considered. So, different contributions coming from several research areas are now included in the program of the Meeting, such as neuroscientific imaging, discrete mathematic approaches to image reconstructions, combinatorial aspects, projections and sections properties of convex sets
    • Monday, 4 May 2026 - Wednesday, 6 May 2026
      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 07 thu 2026

    		MOX Colloquia
    Peter Bühlmann, Causality-Inspired Machine Learning: A Path to more Robust AI Systems,  05-07-2026, 14:30
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    MOX

    • MOX Colloquia
    • Peter Bühlmann
    • ETH Zürich
    • Causality-Inspired Machine Learning: A Path to more Robust AI Systems
    • Thursday, 7 May 2026 at 14:30
    • Sala Consiglio
    • Abstract
      The pursuit of reliable and robust machine learning has become a central focus, with statistics and data science playing pivotal roles in its advancement. We explore connections between distributional robustness and causality, providing methodological insights to enhance the reliability of AI systems. We examine the broader implications of these concepts through a case study in digital health and conclude by emphasizing the importance of rigorous real-world validation of machine learning and AI algorithms.
    • Peter Bühlmann

      Peter Bühlmann

      Peter Bühlmann is Professor of Mathematics and Statistics and Director of Foundations of Data Science at ETH Zürich. He received his Ph.D. from ETH Zürich in 1993, and after spending three years as a postdoctoral fellow and Neyman Assistant Professor at UC Berkeley, he returned to ETH Zürich as a faculty member in 1997. His research interests include high-dimensional statistics, causality, and interdisciplinary applications in biomedical sciences. He is a Fellow of the Institute of Mathematical Statistics (IMS) and served as IMS President in 2022-2023, a Fellow of the American Statistical Association, and he was Co-Editor of the Annals of Statistics 2010-2012. He received a Doctor Honoris Causa from the Université Catholique de Louvain in 2017, the Neyman Lectureship and Award 2018 and the Wald Lectureship and Award 2024 from the Institute of Mathematical Statistics, the Guy Medal in Silver 2018 from the Royal Statistical Society, and he is an elected Member of the German National Academy of Sciences Leopoldina since 2022.

    • Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

  • jun 15 mon 2026

    jun 19 fri 2026

    		WorkShop
    Indam workshop: geometry of severi varieties and hurwitz spaces
    06/15/2026 - 06/19/2026
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    • WORKSHOP
    • organizers
      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.
    • Monday, 15 June 2026 - Friday, 19 June 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

  • jun 29 mon 2026

    jul 03 fri 2026

    		WorkShop
    Commutative algebra and algebraic geometry in milan
    06/29/2026 - 07/03/2026
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    • WORKSHOP
    • CAAG26
    • 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

  • aug 31 mon 2026

    sep 03 thu 2026

    		WorkShop
    Late summer conference in geometric analysis
    08/31/2026 - 09/03/2026
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    • WORKSHOP
    • organizers
      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.
    • Monday, 31 August 2026 - Thursday, 3 September 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

  • oct 01 thu 2026

    		MOX Colloquia
    Rainer Helmig, Porous Media Free-Flow Coupling - From REV to Pore Scale and Back,  10-01-2026, 14:30
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    MOX

    • MOX Colloquia
    • Rainer Helmig
    • Professor Emeritus, University of Stuttgart
    • Porous Media Free-Flow Coupling - From REV to Pore Scale and Back
    • Thursday, 1 October 2026 at 14:30
    • Sala Consiglio, Edificio 14, Politecnico di Milano
    • Abstract
      Flow and transport processes in domains composed of a porous medium and an adjacent free-flow region appear in a wide range of industrial, bio-medical and environmental applications. Industrial applications range from flow in fuel cells to drying processes; possible bio-medical applications include the interplay of distribution processes in blood vessels and in the surrounding tissue. Applications in environmental systems include infiltration of overland flow during rainfall, groundwater contamination due to infiltrating pollutants and evaporation from soil.

      One of the key challenges for coupled free flow and porous-medium flow arises from the fact that the overall effective behaviour depends strongly on interface processes that occur on small spatial scales (pore scale), although the overall system of interest is often too large to resolve these processes explicitly in detail. REV-scale models are usually not able to capture all the relevant physical processes for such coupled systems. For the accurate description of interface phenomena, it is therefore necessary to develop model concepts that combine information gained through pore-scale and REV-scale models.

      The first part of the lecture includes the following items:
      -an explanation of relevant processes of mass, momentum and energy transfer at the interface between a free-flow and a porous-media system;
      -a presentation of conceptual models for coupled single-phase free flow and two-phase porous-medium flow with a detailed description of the models in the free flow and in the porous medium for the pore and REV scale;
      -comparison studies to show the advantages and disadvantages in relation to classical approaches; the coupling concepts are discussed on the basis of different technical or environmental issues.

      In the second part of the lecture I would very much like to discuss the results on the basis of various detailed use cases. These include e.g. aspects of soil evaporation, heat storage in porous media, self-cooling of turbines or the salinization of soils.


      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:
      paola.antonietti@polimi.it
    • Rainer Helmig

      Rainer Helmig

      Rainer Helmig is Professor Emeritus of the Department of Hydromechanics and Modelling of Hydrosystems at the University of Stuttgart, Germany. He gained his doctoral degree from the University of Hannover in 1993 and a the Habilitation degree from the University of Stuttgart in 1997. In 1995, he was awarded the renowned "Dresdner Grundwasserforschungspreis" for his doctoral thesis. From 1997 to 2000, he held a professorship at the Technical University of Braunschweig. He was co-founder and, from 2009 to 2011, President of "InterPore"; from 2007 to 2015, he was spokesman of the International Research Training Group "NUPUS - Nonlinearities and upscaling in porous media", and from 2018 to 2023 he was spokesman of the Collaborative Research Centre 1313 “Interface-Driven Multi-Field Processes in Porous Media: Flow, Transport and Deformation”. From 2007 to 2018, he was a member of the Executive Board of Directors of the Cluster of Excellence Simulation Technology at the University of Stuttgart. He is member of Academy of Sciences, Academia Europaea, Heidelberg and acatech. In 2020, he was granted the AGU Fellowship of the American Geophysical Union. In 2022 he got the Honorary Degree of Doctor of Engineering at the Heriot-Watt University. He was awarded the Kimberly-Clark Distinguished Lectureship 2025 and in 2025 he was granted the SIAM Geosciences Career Prize.

    • Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

  • nov 02 mon 2026

    nov 06 fri 2026

    		WorkShop
    Model reduction and surrogate modeling 2026
    11/02/2026 - 11/06/2026
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    • WORKSHOP
    • MORe2026
    • 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

  • jul 05 mon 2027

    jul 09 fri 2027

    		WorkShop
    International conference on spectral and high-order methods
    07/05/2027 - 07/09/2027
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    • WORKSHOP
    • ICOSAHOM2027
    • 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