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.

Today's events

may 02 thu 2024

Seminar
Federico Cornalba, Numerical and analytical aspects for stochastic equations from Fluctuating Hydrodynamics, 05-02-2024, 11:00
- Seminar
- Federico Cornalba
- University of Bath
- Numerical and analytical aspects for stochastic equations from Fluctuating Hydrodynamics
- Thursday, 2 May 2024 at 11:00
- Aula seminari - III piano. Zoom link: polimi-it.zoom.us/j/91570308862?pwd=Qy9pQy9JdEViVTJValAzN2tGbng3QT09
- Abstract
  
  Large-scale systems of interacting particles are ubiquitous, with applications ranging from thermal advection phenomena to gradient descent algorithms in machine learning. While the mean-field-limit (MFL) perspective allows to efficiently characterize the ‘average’ evolution of many such particles systems (usually via PDEs), it does not incorporate a macroscopic description of the particles’ intrinsic fluctuations. The theory of Fluctuating Hydrodynamics addresses this aspect by instead describing the particle systems via stochastic PDEs which enrich the underlying MFL dynamics.
  For a weakly interacting multi-species system, we will discuss the interplay between MFL dynamics and associated stochastic PDE, and show that numerical discretizations of the latter can approximate the particles’ fluctuations in an accurate and efficient way.
  Based on joint works with Julian Fischer (IST Austria), Jonas Ingmanns (IST Austria), Claudia Raithel (TU Dresden).
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

Upcoming events

may 06 mon 2024

may 08 wed 2024

WorkShop
Meeting on tomography and applications discrete tomography, neuroscience and image reconstruction 18th edition
05/06/2024 - 05/08/2024
- WORKSHOP
- TAIR
  Meeting on tomography and applications discrete tomography, neuroscience and image reconstruction 18th edition
- organizers
  Paolo Dulio - Politecnico Milano, Paolo Finotelli – Université de Caen Normandie, Andrea Frosini - Universita' Firenze, Silvia Pagani - Universita' Cattolica,
- The aim of the Meeting is to share interdisciplinary aspects between the experimental and the mathematical research concerning image reconstruction, with a special focus on tomography and neuroscience
- Monday, 6 May 2024 - Wednesday, 8 May 2024
  Mathematics Department - 7th floor
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
may 06 mon 2024

may 10 fri 2024

WorkShop
The geometry of hilbert schemes of points
05/06/2024 - 05/10/2024
- WORKSHOP
- GHiSP
  The geometry of hilbert schemes of points
- organizers
  Michele Graffeo (SISSA), Paolo Lella (Polimi), Sergej Monavari (EPFL), Andrea T. Ricolfi (SISSA), Alessio Sammartano (Polimi)
- The Hilbert scheme is a classically studied moduli space, which parametrises closed subschemes with prescribed Hilbert polynomial in an ambient projective scheme. These moduli spaces where initially introduced by Grothendieck, but turned out to have a prominent rôle in many modern areas outside the realm of Algebraic Geometry: Mathematical Physics, Combinatorics, Theoretical Physics (just to mention some recent examples). Generalisations of the Hilbert scheme have a wide range of applications as well, such as nested Hilbert schemes (parametrising flags of closed subschemes), moduli spaces of framed sheaves and Quot schemes (parametrising quotient sheaves). The easiest example one can consider is the Hilbert scheme of points, which parametrises closed zero-dimensional subschemes of fixed length. Already in this case, the geometry of the moduli space is rich and intriguing, as it is in general considerably pathological. For instance, if the dimension of the ambient variety is 3, the Hilbert scheme of points is in general reducible, and for dimension larger than 4 its singularities can be as bad as possible. Hilbert schemes (and their generalisation) played an important role in the development of modern Enumerative Geometry. In fact, for a large and interesting class of cases, the Hilbert scheme of points is not smooth but carries a virtual fundamental class. Donaldson-Thomas theory deals precisely with the (virtual) invariants one can compute on the Hilbert schemes with respect to its virtual structure. Donaldson-Thomas theory is very rich and admits several layers of refinements, for example: cohomological, K-theoretical, elliptic, categorical, motivic and is predicted to match Gromov-Witten invariants. SPEAKERS Alessandra Bernardi, Gergely Bérczi, Nadir Fasola, Anthony Iarrobino, Joachim Jelisiejew, Tomasz Mandziuk, Cristina Manolache, Alina Marian, Rosa Maria Miro-Roig, Andrei Negut, Ritvik Ramkumar, Ilaria Rossinelli, Reinier F. Schmiermann, Roy Skjelnes
- Monday, 6 May 2024 - Friday, 10 May 2024
  BellaVista Relax Hotel, Levico Terme (TN), Italy
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
may 06 mon 2024

Seminar
Abbas Moameni, Stratified Monge-Kantorovich optimal transport problems, structure and the uniqueness of optimal transport plans., 05-06-2024, 16:30
- Seminar
- Abbas Moameni
- Carleton University, Ottawa
- Stratified Monge-Kantorovich optimal transport problems, structure and the uniqueness of optimal transport plans.
- Monday, 6 May 2024 at 16:30
- Aula seminari MOX, sesto piano, Dipartimento di Matematica, Politecnico di Milano
- Abstract
  
  We shall introduce the notion of m-twist condition for the optimal transportation problems. This notion together with Kantorovich duality provide an effective tool to study and describe the support of
  optimal plans for the mass transport problem involving general cost functions. We also establish a criterion for the uniqueness of optimal plans not necessarily induced by a single map.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
may 07 tue 2024

Seminar
Horia Cornean, On the Landauer-Büttiker formalism, 05-07-2024, 10:15 precise
- Seminar
- Horia Cornean
- Aalborg Universitet
- On the Landauer-Büttiker formalism
- Tuesday, 7 May 2024 at 10:15 right
- Aula Seminari III Piano
- Abstract
  
  In the first part we will introduce the setting and prove some fundamental scattering results related to the existence and completeness of wave operators arising in mesoscopic systems, and also prove the “classical” Landauer-Büttiker formula for non-interacting systems. The second part will be about providing sufficient conditions such that the time evolution of a mesoscopic tight-binding open system with a local Hartree-Fock non-linearity converges to a self-consistent non-equilibrium steady state, which is independent of the initial condition from the “small sample”. We will also show that the steady charge current intensities are given by Landauer-Büttiker-like formulas, and make the connection with the case of weakly self-interacting many-body systems. In order to get a better idea of what the lectures will cover, see arxiv.org/abs/2309.01564.
  
  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
may 07 tue 2024

Seminar
Marco Caroccia, On the singular planar plateau problem, 05-07-2024, 15:00
- Seminar
- Marco Caroccia
- Politecnico di Milano
- On the singular planar plateau problem
- Tuesday, 7 May 2024 at 15:00
- Aula Seminari - III Piano
- Abstract
  
  The classical Plateau problem asks which surface in three-dimensional space spans the least area among all the surfaces with boundary given by an assigned curve S. This problem has many variants and generalizations, along with (partial) answers, and has inspired numerous new ideas and techniques. In this talk, we will briefly introduce the problem in both its classical and modern contexts, and then we will focus on a specific vectorial (planar) type of the Plateau problem. Given a curve S in the plane, we can ask which diffeomorphism T of the disk D maps the boundary of D to S and spans the least area, computed as the integral of the Jacobian of T, among competitors with the same boundary condition. For simply connected curves, the answer is provided by the Riemann map, and the minimal area achieved is the Lebesgue measure of the region enclosed by S. For more complex curves, possibly self-intersecting, new analysis is required. I will present a recent result in this sense, obtained in collaboration with Prof. Riccardo Scala from the University of Siena, where the value of the minimum area is computed with an explicit formula that depends on the topology of S.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
may 07 tue 2024

Seminar
Annalisa Panati, Fisica a teatro: lo strano caso di Wolfgang Pauli, 05-07-2024, 17:30
- Seminar
- Annalisa Panati
- Università di Tolone
- Fisica a teatro: lo strano caso di Wolfgang Pauli
- Tuesday, 7 May 2024 at 17:30
- Aula Rogers e in collegamento webex su tiny.cc/mathseminars
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
may 08 wed 2024

Seminar
Horia Cornean, On the Landauer-Büttiker formalism, 05-08-2024, 11:00 precise
- Seminar
- Horia Cornean
- Aalborg Universitet
- On the Landauer-Büttiker formalism
- Wednesday, 8 May 2024 at 11:00 right
- Aula Seminari III Piano
- Abstract
  
  In the first part we will introduce the setting and prove some fundamental scattering results related to the existence and completeness of wave operators arising in mesoscopic systems, and also prove the “classical” Landauer-Büttiker formula for non-interacting systems. The second part will be about providing sufficient conditions such that the time evolution of a mesoscopic tight-binding open system with a local Hartree-Fock non-linearity converges to a self-consistent non-equilibrium steady state, which is independent of the initial condition from the “small sample”. We will also show that the steady charge current intensities are given by Landauer-Büttiker-like formulas, and make the connection with the case of weakly self-interacting many-body systems. In order to get a better idea of what the lectures will cover, see arxiv.org/abs/2309.01564.
  
  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
may 08 wed 2024

Seminar
Alessandro Pigati, Topology of three-dimensional Ricci limits and RCD spaces, 05-08-2024, 15:00 precise
- Seminar
- Alessandro Pigati
- Università Bocconi
- Topology of three-dimensional Ricci limits and RCD spaces
- Wednesday, 8 May 2024 at 15:00 right
- Aula Seminari - III piano
- Abstract
  
  Starting from the second half of the nineteenth century, it was understood that curvature, which is infinitesimal (geo)metric information on a space, integrates to give global structure results (in spite of its nonlinear nature), specifically yielding topological rigidity of the space. It was further observed by Gromov that a lower bound on the Ricci curvature is the essential ingredient in order to control the number of degrees of freedom at a metric level as well, allowing to compactify (in a very weak sense) the set of n-dimensional Riemannian manifolds obeying a Ricci lower bound. It was later understood that singular spaces belonging to this compactification (Ricci limits), are special cases of a more general analytic notion (RCD spaces), more stable with respect to certain natural operations, and thus they also inherit a rich analytic structure, allowing to do calculus on them.
  
  In this talk, based on joint work with Elia Bruè and Daniele Semola, we will review some previously known structural results for Ricci limits and RCDs in the non-collapsed case, as well as some instructive examples and counterexamples, and we will see a new, more elementary proof that Ricci limits of dimension three are generalized manifolds, enjoying in particular uniform contractibility. Our tools, together with some results in geometric topology, give an alternative proof that they are in fact topological manifolds. We will also see a new result for tangent cones in higher dimension. If time allows, we will also mention a new structural theorem for RCDs in dimension three.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
may 09 thu 2024

may 11 sat 2024

WorkShop
Quantum probability control and engineering
05/09/2024 - 05/11/2024
- WORKSHOP
- QPCE
  Quantum probability control and engineering
- organizers
  Franco Fagnola, Ameur Dhari, Federico Girotti, Matteo Gregoratti
- Scuola su QUANTUM PROBABILITY CONTROL AND ENGINEERING (3 minicorsi, 3 seminari)
- Thursday, 9 May 2024 - Saturday, 11 May 2024
  Sala riunioni VII piano
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
may 09 thu 2024

Seminar
Camilla Gaiaschi, Condemned to excellence? Double standards and gender inequalities in science and research, 05-09-2024, 14:30
- Seminar
- Camilla Gaiaschi
- Università del Salento
- Condemned to excellence? Double standards and gender inequalities in science and research
- Thursday, 9 May 2024 at 14:30
- tiny.cc/gaiaschi
- Abstract
  
  Double standard: what does it mean? The term refers to the existence of different evaluation criteria applied to individuals who are in the same situation or have the same characteristics. In terms of gender, especially in the workplace, including in science and research, it refers to the often harsher judgment applied to women during evaluations processes. This results in disadvantages in recruitment, promotion, and compensation. Through the analysis of European and Italian data on the presence of women in the research sector, as well as through some case studies conducted in the academic, medical, and bio-scientific fields, this contribution aims to provide an overview of the explanatory factors underlying gender inequalities in the scientific world, focusing on the individual, organizational and institutional levels.
- Camilla Gaiaschi
  Camilla Gaiaschi è ricercatrice presso l’Università del Salento. Ha conseguito un dottorato in sociologia presso l’Università degli Studi di Milano dove è successivamente assegnista di ricerca e docente del corso “Pari Opportunità e Carriere Scientifiche”. Prima di arrivare a Lecce ha svolto una Marie Curie Individual Fellowship presso l’Università di Losanna con il progetto dal titolo WIRED – Women In Research and higher EDucation.
  
  I suoi interessi di ricerca vertono sulle disuguaglianze di genere nel mercato del lavoro e nelle professioni scientifiche, in particolare accademiche, sulle trasformazioni universitarie, sulle politiche di welfare in ottica di genere, e sul genere nella scienza. È autrice di numerose pubblicazioni scientifiche italiane e internazionali.
  
  Dal 2022 in libreria con "Doppio Standard. Donne e carriere scientifiche nell'Italia contemporanea", edito da Carocci.
  www.camillagaiaschi.com
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
may 09 thu 2024

Seminar
Laboratorio FDS, The road to zero: escape room matematica, 05-09-2024, 16:30
- Seminar
- Laboratorio FDS
- Dipartimento di Matematica, Politecnico di Milano
- The road to zero: escape room matematica
- Thursday, 9 May 2024 at 16:30
- Online
- Abstract
  
  Il laboratorio Effediesse del Politecnico di Milano invita il pubblico al gioco-didattico "The road to zero", un'escape room in modalità online (via Zoom) consistente in sfide matematiche a tema cambiamento climatico.
  
  La prova è rivolta a un ampio pubblico (sopra i 14 anni) e avrà la durata di un'ora. Per i minori è previsto l'accompagnamento dei genitori e/o un loro consenso informato in fase di iscrizione al gioco.
  
  "The road to zero" ha come tema principale il cosidetto "net zero". L'obiettivo del gioco sarà trovare un equilibrio tra pozzi e sorgenti di anidride carbonica. Le sfide avranno prevalentemente carattere logico-matematico, con un livello di competenze matematiche presupposte pari a quello di una studentessa o uno studente del primo anno di scuole superiori. Per gli studenti, il gioco sarà quindi un modo per applicare le nozioni apprese a scuola in un contesto di grande attualità, mentre per i più adulti sarà un modo per testare i propri ricordi e, magari, (re-)innamorarsi della matematica.
  
  Al termine della prova sarà offerto un breve seminario di carattere divulgativo per discutere le strategie di risoluzione degli enigmi proposti.
  
  Come gioco di divulgazione scientifico-matematica, "The road to zero" sostiene l'Agenda 2030 per lo sviluppo sostenibile, in particolare in riferimento al Goal 4 "Istruzione di quslità" e Goal 13 "Lotta al cambiamento climatico".
  
  Ingresso libero con prenotazione
  Link di iscrizione all'evento: forms.office.com/e/fq52fhiEdk
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
may 09 thu 2024

Seminar
Alessio Falocchi, On the long-time behaviour of solutions to unforced evolution Navier-Stokes equations under Navier boundary conditions, 05-09-2024, 16:30
- Seminar
- Alessio Falocchi
- Politecnico di Milano
- On the long-time behaviour of solutions to unforced evolution Navier-Stokes equations under Navier boundary conditions
- Thursday, 9 May 2024 at 16:30
- Aula Seminari - III Piano
- Abstract
  
  We study the asymptotic behaviour of the solutions to Navier-Stokes unforced equations under Navier boundary conditions in a wide class of merely Lipschitz domains of physical interest that we call sectors. The main motivations come from the celebrated results by Foias-Saut related to the long time behaviour of the solutions to Navier-Stokes equations under Dirichlet conditions.
  Here the choice of the boundary conditions requires carefully considering the geometry of the domain, due to the possible lack of the Poincaré inequality in presence of axial symmetries. In non-axially symmetric domains we show the validity of the Foias-Saut result about the limit at infinity of the Dirichlet quotient, in axially symmetric domains we provide two invariants of the flow which completely characterize the motion and we prove that the Foias-Saut result holds for initial data belonging to one of the invariants.
  This is a joint work with Prof. Elvise Berchio (Politecnico di Torino, Italy) and Clara Patriarca (Université libre de Bruxelles, Belgium).
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
may 13 mon 2024

Seminar
Camilla Felisetti, On the intersection cohomology of vector bundles, 05-13-2024, 15:30 precise
- Seminar
- Camilla Felisetti
- Università di Modena e Reggio Emilia
- On the intersection cohomology of vector bundles
- Monday, 13 May 2024 at 15:30 right
- Aula seminari MOX VI piano
- Abstract
  
  Intersection cohomology is a topological notion adapted to the description of singular topological spaces, and the Decomposition Theorem for algebraic maps is a key tool in the subject. The study of the intersection cohomology of the moduli spaces of semistable bundles on Riemann surfaces began in the 80’s with the works of Frances Kirwan. Motivated by the work of Mozgovoy and Reineke, in joint work with Andras Szenes and Olga Trapeznikova, we give a complete description of these structures via a detailed analysis of the Decomposition Theorem applied to a certain map from parabolic vector bundles. We also give a new formula for the intersection Betti numbers of these moduli spaces, which has a clear geometric meaning. In the talk, I will give an introduction to the subject, and describe our results.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
may 14 tue 2024

Seminar
Laboratorio FDS, MATEC4Girls, 05-14-2024, 09:30
- Seminar
- Laboratorio FDS
- Dipartimento di Matematica - Politecnico di Milano
- MATEC4Girls
- Tuesday, 14 May 2024 at 09:30
- Dipartimento di Matematica
- Abstract
  
  In occasione della Giornata internazionale delle Donne nella Matematica, che si celebra il 12 maggio, il laboratorio FDS invita le studentesse di III, IV e V delle scuole secondarie di secondo grado all'evento MATEC4Girls.
  
  Programma della giornata
  
  9:30-10:15 Benvenuto e saluti istituzionali a cura di:
  Prof.ssa Irene Sabadini, Direttrice del Dipartimento di Matematica
  Prof.ssa Isabella Nova Prorettrice delegata
  10:15-11:15 Seminario introduttivo sugli inquinanti e la marmitta catalitica, a cura della Prof.ssa Isabella Nova
  
  11:30-16:00 Laboratorio - Modellistica e ottimizzazione di forma, a cura della Dott.ssa Caterina Bassi
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
may 14 tue 2024

Seminar
Eduardo Munoz Hernandez, Existence and multiplicity of coexistence states in a heterogeneous predator-prey model with saturation, 05-14-2024, 11:30
- Seminar
- Eduardo Munoz Hernandez
- Universidad Complutense de Madrid
- Existence and multiplicity of coexistence states in a heterogeneous predator-prey model with saturation
- Tuesday, 14 May 2024 at 11:30
- Aula Seminari - III Piano
- Abstract
  
  In this talk we analyze a predator-prey model coming from the heterogeneous counterparts of the classical Lotka-Volterra
  and Holling-Tanner models by considering a non-negative saturation term that can vanish inside the domain. By the use of the maximum principle and bifurcation theory the regions of coexistence can be exactly determined. Furthermore, by varying the amplitude of the saturation different multiplicity results will be obtained. This is a joint work with Julián López-Gómez.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
may 14 tue 2024

Seminar
Matteo Ciccarelli, The macroeconomic effects of climate change and the green transition, 05-14-2024, 15:00
- Seminar
- Matteo Ciccarelli
- Head of Forecasting and Policy Modelling at European Central Bank
- The macroeconomic effects of climate change and the green transition
- Tuesday, 14 May 2024 at 15:00
- Aula Seminari - III piano
- Abstract
  
  Modelling interaction between climate change, the green transition and the macroeconomy requires empirically validated assumptions. The presentation will focus on a few questions of relevance from the perspective of central banks and on the importance to understand the business cycle effects of climate-related shocks and risks. Based on recent empirical and modelling work on the topic and through the lens of standard economic concepts and models, the presentation will shed light on the demand and supply channels of climate-related shocks, on the importance of appropriately choosing the variables and proxies to ‘identify’ the shocks and account for the transmission channels in empirical analysis, and on the asymmetric and heterogenous effects of weather shocks and climate policies across countries. The presentation will conclude with implications for modellers and policy makers.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
may 24 fri 2024

Seminar
Francesco Vaccaro, Modelling of memristive devices for Bio-Inspired computing, 05-24-2024, 11:00
- Seminar
- Francesco Vaccaro
- Politecnico di Milano
- Modelling of memristive devices for Bio-Inspired computing
- Friday, 24 May 2024 at 11:00
- Aula Seminari F. Saleri - VI piano
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
may 29 wed 2024

Seminar
Paolo Cremonesi, La magia dei Computer Quantistici, 05-29-2024, 17:30
- Seminar
- Paolo Cremonesi
- Politecnico di Milano
- La magia dei Computer Quantistici
- Wednesday, 29 May 2024 at 17:30
- Aula T12 e in collegamento webex su tiny.cc/mathseminars
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
jun 05 wed 2024

jun 07 fri 2024

WorkShop
Perspectives in pdes, global and functional analysis
06/05/2024 - 06/07/2024
- WORKSHOP
- Perspectives in pdes, global and functional analysis
- organizers
  Matteo Bonforte (Universidad Autónoma de Madrid, Spain) Matteo Muratori (Politecnico di Milano, Italy) Fabio Punzo (Politecnico di Milano, Italy) Alberto Setti (Università degli Studi dell'Insubria, Italy)
- This workshop aims at bringing together world experts from Analysis and Geometry, with a particular accent on the broad field of Partial Differential Equations and their applications. In particular, the main topics addressed lie at the interface between Global Analysis, Functional Analysis, Geometric Analysis and Differential Geometry. The meeting is held on the special occasion given by the 60th birthday of Gabriele Grillo, Professor of Mathematical Analysis at Politecnico di Milano since 2009.
- Wednesday, 5 June 2024 - Friday, 7 June 2024
  Università degli Studi dell'Insubria - Sede di Sant'Abbondio a Como
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
jun 14 fri 2024

WorkShop
Lombardy young numerical analysts vi
06/14/2024
- WORKSHOP
- LYNUM VI
  Lombardy young numerical analysts vi
- organizers
  Mattia Corti, Erika Temellini
- The aim of the meeting is to bring together young researchers in Numerical Analysis and Scientific Computing from universities in Lombardy to exchange their work and foster new connections and potential future collaborations.
- Friday, 14 June 2024 - Friday, 14 June 2024
  Politecnico di Milano, Aula Rogers
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
jun 17 mon 2024

Seminar
Jaqueline Godoy Mesquita, Averaging principles and stability in the context of functional differential equations, 06-17-2024, 15:15
- Seminar
- Jaqueline Godoy Mesquita
- University of Brasilia
- Averaging principles and stability in the context of functional differential equations
- Monday, 17 June 2024 at 15:15
- Sala Consiglio, settimo piano, Dipartimento di Matematica, Politecnico di Milano
- Abstract
  
  In this lecture, we will discuss periodic and nonperiodic averaging principles for functional differential equations, as well as stability results.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
jun 19 wed 2024

jun 21 fri 2024

WorkShop
Kickoff workshop of the erc synergy grant ''nemesis: new generation methods for numerical simulations''
06/19/2024 - 06/21/2024
- WORKSHOP
- NEMESIS Kickoff Workshop
  Kickoff workshop of the erc synergy grant ''nemesis: new generation methods for numerical simulations''
- organizers
  Paola F. Antonietti (Politecnico di Milano), Lourenco Beirao da Veiga (Università degli Studi di Milano-Bicocca), Daniele A. Di Pietro (Université de Montpellier), Jerome Droniou (CNRS)
- The ERC NEMESIS project has been funded in the 2023 Synergy call for a duration of six years. Its goal is to lay the groundwork for a novel generation of numerical simulators by tackling key difficulties of PDE problems of the 21st century: -Incomplete differential operators in Hilbert complexes; -The efficient solution of the discrete problems relating to the latter; -The presence of nonlinear and hybrid-dimensional multi-physics, encountered in applications such as geological flows or magneto-hydrodynamics. The NEMESIS project aims at overcoming the above difficulties, therefore boosting the prediction capabilities of numerical simulators in engineering and applied sciences. A key point will be the use of polytopal meshes and the higher-level point of view provided by polytopal constructions. This kick-off workshop will gather a community of mathematicians and engineers working in the broad field of the project, to foster exchanges and promote long-term collaborations.
- Wednesday, 19 June 2024 - Friday, 21 June 2024
  Montpellier (FR)
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
jul 02 tue 2024

MOX Seminar
Patrick Vega, An adaptive superconvergent mixed finite element method based on local residual minimization, 07-02-2024, 14:00
- MOX Seminar
- Patrick Vega
- Universidad de Santiago de Chile
- An adaptive superconvergent mixed finite element method based on local residual minimization
- Tuesday, 2 July 2024 at 14:00
- Aula Saleri
- Abstract
  
  We introduce an adaptive superconvergent finite element method for a class of mixed formulations to solve partial differential equations involving a diffusion term. It combines a superconvergent postprocessing technique for the primal variable with an adaptive finite element method via residual minimization. Such a residual minimization procedure is performed on a local postprocessing scheme, commonly used in the context of mixed finite element methods. Given the local nature of that approach, the underlying saddle point problems associated with residual minimizations can be solved with minimal computational effort. We propose and study a posteriori error estimators, including the built-in residual representative associated with residual minimization schemes; and an improved estimator that adds, on the one hand, a residual term quantifying the mismatch between discrete fluxes and, on the other hand, the interelement jumps of the postprocessed solution. We present numerical experiments in two dimensions using Brezzi-Douglas-Marini elements as input for our methodology. The experiments perfectly fit our key theoretical findings and suggest that our estimates are sharp.
  
  Contatto:
  michele.botti@polimi.it
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
jul 04 thu 2024

jul 05 fri 2024

WorkShop
Hpcsim - frontiers of high-performance computing in modeling and simulation
07/04/2024 - 07/05/2024
- WORKSHOP
- HPCSIM2024
  Hpcsim - frontiers of high-performance computing in modeling and simulation
- organizers
  Luca Formaggia, Paolo Cremonesi, Carlo de Falco, Ivan Fumagalli, Ilario Mazzieri, Nicola Parolini (Politecnico di Milano), Carlo Janna, Andrea Franceschini (Università di Padova), Nicolò Spiezia (M3E)
- HPCSIM aims to explore recent methodologies to accelerate simulation software on massively parallel platforms and provide researchers and practitioners with a survey on the potential of HPC in real-world applications. Registration at https://www.mate.polimi.it/events/HPCSIM24/"
- Thursday, 4 July 2024 - Friday, 5 July 2024
  Politecnico di Milano, Leonardo Campus - Aula Rogers
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
sep 09 mon 2024

sep 11 wed 2024

WorkShop
13th symposium on conformal and probabilistic prediction with applications
09/09/2024 - 09/11/2024
- WORKSHOP
- COPA 2024
  13th symposium on conformal and probabilistic prediction with applications
- organizers
  Simone Vantini (General Chair); Matteo Fontana (Programme Chair); Alfredo Gimenez Zapiola, Teresa Bortolotti, Khuong An Nguyen (Organizing Chairs); Francesca Ieva (Stakeholder Relation Chair)
- Conformal prediction (CP) is a modern machine and statistical learning method that allows to develop valid predictions under weak probabilistic assumptions. CP can be used to form set predictions, using any underlying point predictor, and for very general target variables, allowing the error levels to be controlled by the user. Therefore, CP has been widely used to develop robust forms of probabilistic prediction methodologies, and applied to many practical real life challenges. The aim of this symposium is to serve as a forum for the presentation of new and ongoing work and the exchange of ideas between researchers on any aspect of conformal and probabilistic prediction, including their application to interesting problems in any field.
- Monday, 9 September 2024 - Wednesday, 11 September 2024
  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
sep 19 thu 2024

MOX Colloquia
Jay Gopalakrishnan, From scalar to tensor finite elements, 09-19-2024, 14:00
- MOX Colloquia
- Jay Gopalakrishnan
- Portland State University
- From scalar to tensor finite elements
- Thursday, 19 September 2024 at 14:00
- Aula Consiglio VII piano - Dipartimento di Matematica
- Abstract
  
  In the history of finite elements, the earliest Lagrange finite elements, consisted of scalar-valued functions. To approximate fluxes, vector-valued finite elements with continuous normal (n) components across element interfaces, or n-continuous elements, were developed later. The finite element toolkit was then supplemented by t-continuous vector-valued Nedelec elements with continuous tangential (t) components, now routinely used for Maxwell equations. Although these elements were developed separately, today we understand them together as fitting into a cochain subcomplex of a de Rham complex of Sobolev spaces.
  Other tensor-valued finite elements are now being viewed with increasing interest and they form the main subject of this talk. The earliest of these consists of matrix-valued functions whose normal-normal (nn) component varies continuously across element interfaces: these are the nn-continuous matrix fields of the Hellan-Herrmann-Johnson element. More recently, nt-continuous matrix-valued finite elements were developed to approximate viscous stress in incompressible flows: they have continuous shear, or normal-tangential (nt) components. To add to this picture, matrix-valued elements with continuous tangential-tangential (tt) components, called Regge elements, are finding increasing utility: they are key to approximating the metric tensor of Riemannian manifolds. This talk delves into the details of these developments.
  How does one connect these disparate developments with nn-, nt-, and tt-continuous matrix finite elements? This does not appear to be as easy as the previous synthesis of vector-valued elements by the de Rham complex. The spaces in de Rham complexes are connected by fundamental first-order differential operators (grad, curl, and div in three dimensions), all derived from a single definition of the exterior derivative. In contrast, what is natural for the above-mentioned tensor finite elements are other second-order differential operators. We conclude grazing the frontiers of our understanding on potentially unifying connections.
  
  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
  gabriele.ciaramella@polimi.it
  ilario.mazzieri@polimi.it
- Jay Gopalakrishnan
  Jay Gopalakrishnan is a computational mathematician whose research centers around improving accuracy and efficiency of finite element methods for partial differential equations. He co-invented two classes of numerical methods, now known as the discontinuous Petrov Galerkin (DPG) methods, and the hybridizable discontinuous Galerkin (HDG) methods. He has co-authored over ninety publications, has served in the editorial boards of seven journals, including service as one of the managing editors. He earned his PhD in 1999 under the supervision of James Bramble and Joseph Pasciak He then worked at Bell Labs, Medtronic Inc, University of Minnesota, and was a mathematics professor at University of Florida for over a decade. He currently holds an endowed chair at Portland State University in Oregon, where he is engaged in a variety of regional activities to bolster scientific computation.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
oct 17 thu 2024

MOX Colloquia
Marc G. Genton, Exascale Geostatistics for Environmental Data Science, 10-17-2024, 14:00
- MOX Colloquia
- Marc G. Genton
- King Abdullah University of Science and Technology (KAUST), Saudi Arabia
- Exascale Geostatistics for Environmental Data Science
- Thursday, 17 October 2024 at 14:00
- Aula Consiglio VII piano - Dipartimento di Matematica
- Abstract
  
  Environmental data science relies on some fundamental problems such as: 1) Spatial Gaussian likelihood inference; 2) Spatial kriging; 3) Gaussian random field simulations; 4) Multivariate Gaussian probabilities; and 5) Robust inference for spatial data. These problems develop into very challenging tasks when the number of spatial locations grows large. Moreover, they are the cornerstone of more sophisticated procedures involving non-Gaussian distributions, multivariate random fields, or space-time processes. Parallel computing becomes necessary for avoiding computational and memory restrictions associated with large-scale environmental data science applications. In this talk, I will explain how high-performance computing can provide solutions to the aforementioned problems using tile-based linear algebra, tile low-rank approximations, as well as multi- and mixed-precision computational statistics. I will introduce ExaGeoStat, and its R version ExaGeoStatR, a powerful software that can perform exascale (10^18 flops/s) geostatistics by exploiting the power of existing parallel computing hardware systems, such as shared-memory, possibly equipped with GPUs, and distributed-memory systems, i.e., supercomputers. I will then describe how ExaGeoStat can be used to design competitions on spatial statistics for large datasets and to benchmark new methods developed by statisticians and data scientists for large-scale environmental data science.
  
  Contatti: laura.sangalli@polimi.it
- Marc G. Genton
  Marc G. Genton is Al-Khawarizmi Distinguished Professor of Statistics at the King Abdullah University of Science and Technology (KAUST) in Saudi Arabia. He received the Ph.D. degree in Statistics (1996) from the Swiss Federal Institute of Technology (EPFL), Lausanne. He is a fellow of the American Statistical Association (ASA), of the Institute of Mathematical Statistics (IMS), and the American Association for the Advancement of Science (AAAS), and is an elected member of the International Statistical Institute (ISI). In 2010, he received the El-Shaarawi award for excellence from the International Environmetrics Society (TIES) and the Distinguished Achievement award from the Section on Statistics and the Environment (ENVR) of the American Statistical Association (ASA). He received an ISI Service award in 2019 and the Georges Matheron Lectureship award in 2020 from the International Association for Mathematical Geosciences (IAMG). He led a Gordon Bell Prize finalist team with the ExaGeoStat software for Super Computing 2022. He received the Royal Statistical Society (RSS) 2023 Barnett Award for his outstanding research in environmental statistics. His research interests include statistical analysis, flexible modeling, prediction, and uncertainty quantification of spatio-temporal data, with applications in environmental and climate science, as well as renewable energies.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
nov 21 thu 2024

MOX Colloquia
Klaus-Robert Müller, Machine Learning and AI for the Sciences: toward understanding, 11-21-2024, 14:00
- MOX Colloquia
- Klaus-Robert Müller
- Technische Universität Berlin
- Machine Learning and AI for the Sciences: toward understanding
- Thursday, 21 November 2024 at 14:00
- Aula Consiglio VII piano
- Abstract
  
  In recent years, machine learning (ML) and artificial intelligence (AI) methods have begun to play a more and more enabling role in the sciences and in industry. In particular, the advent of large and/or complex data corpora has given rise to new technological challenges and possibilities. In his talk, Müller will touch upon the topic of ML applications in the sciences, in particular in chemistry and physics. He will also discuss possibilities for extracting information from machine learning models to further our understanding by explaining nonlinear ML models. Finally, Müller will briefly discuss perspectives and limitations.
- Klaus-Robert Müller
  Klaus-Robert Müller has been a professor of computer science at Technische Universität Berlin since 2006; at the same time he is directing rsp. co-directing the Berlin Machine Learning Center and the Berlin Big Data Center and most recently BIFOLD . He studied physics in Karlsruhe from 1984 to 1989 and obtained his Ph.D. degree in computer science at Technische Universität Karlsruhe in 1992. After completing a postdoctoral position at GMD FIRST in Berlin, he was a research fellow at the University of Tokyo from 1994 to 1995. In 1995, he founded the Intelligent Data Analysis group at GMD-FIRST (later Fraunhofer FIRST) and directed it until 2008. From 1999 to 2006, he was a professor at the University of Potsdam. From 2012 he has been Distinguished Professor at Korea University in Seoul. In 2020/2021 he spent his sabbatical at Google Brain as a Principal Scientist. Among others, he was awarded the Olympus Prize for Pattern Recognition (1999), the SEL Alcatel Communication Award (2006), the Science Prize of Berlin by the Governing Mayor of Berlin (2014), the Vodafone Innovations Award (2017), Hector Science Award (2024), Pattern Recognition Best Paper award (2020), Digital Signal Processing Best Paper award (2022). In 2012, he was elected member of the German National Academy of Sciences-Leopoldina, in 2017 of the Berlin Brandenburg Academy of Sciences, in 2021 of the German National Academy of Science and Engineering and also in 2017 external scientific member of the Max Planck Society. From 2019 on he became an ISI Highly Cited researcher in the cross-disciplinary area. His research interests are intelligent data analysis and Machine Learning in the sciences (Neuroscience (specifically Brain-Computer Interfaces, Physics, Chemistry) and in industry.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568