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

jan 15 wed 2025

Seminar
Alfredo Marzocchi, La danza dei pianeti. Le meraviglie della Meccanica Celeste, 01-15-2025, 15:00
- Seminar
- Alfredo Marzocchi
- Università Cattolica di Brescia
- La danza dei pianeti. Le meraviglie della Meccanica Celeste
- Wednesday, 15 January 2025 at 15:00
- Aula Laboratorio FDS - tiny.cc/zoomfds
- Abstract
  
  Partendo da una derivazione elementare della legge di gravitazione universale di Newton, si tratterà il problema dei due corpi (Sole-Pianeta) da un punto di vista matematico, mostrando come ricavare le tre leggi di Keplero. Successivamente si imposterà il problema dei tre corpi mostrando come ricavare la celebre soluzione triangolare di Lagrange. Da un punto di vista didattico si illustreranno alcune proposte di argomenti, come ad esempio le coordinate polari, che potrebbero aiutare l'introduzione della tematica in classe.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

Upcoming events

jan 16 thu 2025

WorkShop
Climate risk seminar
01/16/2025
- WORKSHOP
- Climate risk seminar
- organizers
  Emilio Barucci
- QFinLab promotes a series of thematic seminars on climate risk. Climate transformations have a deep impact on economic activity with implications ranging from the definition of green transition policies to the evaluation of financial assets, from the construction of innovative financial and insurance products to risk management, from the design of mechanisms incentive to asset management and much more. Themes that pose intriguing questions to the academic world, involving, those who deal with models to interpret a phenomenon that by its nature is very complex. The activities are organized through a series of double seminars with discussants. The second meeting is scheduled for January 16, 2025 15.00-17.00 Department of Mathematics- Saleri room- VI floor - Tiziano De Angelis (Università di Torino) ''A model of strategic sustainable investment'' Discussant: Alessandro Calvia (Politecnico di Milano) - Sandra Paterlini (Università di Trento) Chasing ESG performance: How Methodologies Shape Outcomes Discussant: Michele Azzone (Politecnico di Milano)
- Thursday, 16 January 2025 - Thursday, 16 January 2025
  Department of Mathematics- Saleri room- VI floor
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
jan 16 thu 2025

MOX Colloquia
Alessandro Reali, Isogeometric Analysis: Some recent advances with applications to complex and coupled problems, 01-16-2025, 14:00
- MOX Colloquia
- Alessandro Reali
- University of Pavia
- Isogeometric Analysis: Some recent advances with applications to complex and coupled problems
- Thursday, 16 January 2025 at 14:00
- B.5.3, V Piano, Edificio 14 (Nave), Politecnico di Milano
- Abstract
  
  Isogeometric Analysis (IGA) is a successful simulation framework originally proposed by T.J.R. Hughes et al. in 2005, with the aim of bridging Computational Mechanics and Computer Aided Design. In addition to this, thanks to the high-regularity properties of its basis functions, IGA has shown a better accuracy per degree-of-freedom and an enhanced robustness with respect to standard finite elements in many applications, ranging from solids and structures to fluids, as well as to different kinds of coupled problems, also opening the door to the approximation in primal form of higher-order partial differential equations.
  After a concise introduction of the basic isogeometric concepts, this lecture aims at presenting an overview of some recent advances with a special focus on coupled problems where the characteristics of IGA seem to be of great advantage, including the simulation of fluid-structure interaction in different contexts (e.g., biomedical problems), studies on the effects of mechanically-induced stresses on prostate cancer growth, thermo-mechanical simulations for additive manufacturing processes, electro-mechanical simulations for biological tissues, and the use of phase-field modeling for fracture and topology optimization problems or for predicting the polarization evolution in elastic ferroelectric materials.
  
  Contatto:
  paola.antonietti@polimi.it
- Alessandro Reali
  Alessandro Reali (born in 1977) is Full Professor of Solid and Structural Mechanics at the University of Pavia since 2016. He is currently the Rector’s Delegate for International Research (2019-2025) as well as a member of the Regional Forum for Research & Innovation of Regione Lombardia (2023-2025); moreover, he served as the Dean of the Department of Civil Engineering and Architecture for two terms (2018-2024) and as a member of the Academic Senate (2018-2019). He is specialized in different engineering fields, such as numerical simulation, structural and materials mechanics, biomechanics. During his academic career, he supervised more than 20 PhD students and 15 Postdoctoral fellows. He was the principal investigator of several national and international research projects, including a prestigious ERC grant of the European Research Council. He published about 190 papers on international journals and received more than 16,000 citations with an h-index of 60 (according to Google Scholar). He was also invited to deliver over 100 seminars at internationally renowned institutions, as well as 35 plenary/keynote lectures and more than 40 other invited lectures at international conferences. For his research achievements he received numerous honors and awards, and was appointed, among others, Fellow of the European Academy of Sciences, Knight Commander of the Order of Merit of the Italian Republic, Clarivate/ISI Highly Cited Researcher, Ambassador of the Technical University of Munich - TUM, ECCOMAS Euler medalist, Panetti-Ferrari medalist (Accademia delle Scienze di Torino), IACM Fellows awardee, Fischer Fellow (TUM Institute for Advanced Study), Finzi awardee (Istituto Lombardo – Accademia di Scienze e Lettere), IACM Argyris awardee, ECCOMAS Zienkiewicz awardee, AIMETA Junior awardee.
  More information can be found at: www.unipv.it/alereali.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
jan 22 wed 2025

Seminar
Anastasiia Legatiuk, Discrete potential and function theories on rectangular lattices, 01-22-2025, 17:00 precise
- Seminar
- Anastasiia Legatiuk
- Erfurt University, Germany
- Discrete potential and function theories on rectangular lattices
- Wednesday, 22 January 2025 at 17:00 right
- On-line (il link verrà reso disponibile il giorno stesso del seminario)
- Abstract
  
  In this talk, we will present an extension of the discrete potential theory and discrete function theory to rectangular lattices. As usual in the discrete theories, construction of discrete operators is strongly influenced by a definition of discrete geometric setting. For providing consistent constructions, a detailed discussion on the discrete geometric setting will be presented in the beginning of the talk. After that, the discrete fundamental solution of the discrete Laplace operator on a rectangular lattice and its numerical analysis will be discussed. By using the discrete fundamental solution of the discrete Laplace operator on a rectangular lattice, the discrete potential theory is then constructed for interior and exterior settings. Several discrete interior and exterior boundary value problems are then solved. Moreover, discrete transmission problems are introduced and several numerical examples of these problems are discussed. In the last part of the talk, we present discrete function theory on rectangular lattices based on the discrete Cauchy-Riemann operators. Discrete analogues of Borel-Pompeiu formulae, Cauchy formulae, and Teodorescu transform are constructed for interior and exterior settings within the discrete function theory.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
jan 23 thu 2025

MOX Colloquia
Rob Stevenson, A quasi-optimal space-time finite element method for parabolic equations, 01-23-2025, 14:00
- MOX Colloquia
- Rob Stevenson
- University of Amsterdam
- A quasi-optimal space-time finite element method for parabolic equations
- Thursday, 23 January 2025 at 14:00
- B.5.3, V Piano, Edificio 14 (Nave), Politecnico di Milano
- Abstract
  
  We outline the (potential) advantages of simultaneous space-time discretisations of parabolic evolution equations, and illustrate them with some numerical results. Other than for elliptic equations there is not one obvious variational formulation, and we present several possibilities. They have in common that the bilinear form is not coercive so that one has to resort to minimal residual discretisations, in most cases in a dual norm which leads to a saddle point problem. We present some technical details concerning adaptive mesh refinement, the construction of uniformly bounded Fortin interpolators, and optimal preconditioning.
  
  Contatto:
  marco.verani@polimi.it
- Rob Stevenson
  Rob Stevenson is professor of Applied Analysis at the University of Amsterdam, The Netherlands. In 1990 he received his PhD from the University of Utrecht. He held positions at the University of Utrecht, the Eindhoven University of Technology, and the Radboud University Nijmegen. He was appointed professor at the University of Amsterdam in 2007. He has served/is serving in the editorial boards of several journals in Numerical Analysis and Computational Mathematics. His research is concerned with the numerical solution of partial differential equations. The main focus of his research is on finite element and wavelet methods, multi-level solvers, least squares discretizations, adaptive methods, and space-time methods.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
jan 27 mon 2025

jan 29 wed 2025

WorkShop
Regularity and geometric aspects of nonlinear pdes, milan 2025
01/27/2025 - 01/29/2025
- WORKSHOP
- Regularity and geometric aspects of nonlinear pdes, milan 2025
- organizers
  Stefano Biagi and Benedetta Noris
- The present workshop is organized with the support of the project MUR-PRIN project 2022R537CS “NO3 – Nodal optimization, nonlinear elliptic equations, nonlocal geometric problems, with a focus on regularity”, granted by the European Union – Next Generation EU. The aim is to bring together both young researchers and recognized experts on regularity and geometric aspects of nonlinear PDEs, in order to present and discuss recent results obtained within the aforementioned project.
- Monday, 27 January 2025 - Wednesday, 29 January 2025
  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
jan 29 wed 2025

Seminar
Riccardo Bellé [1], Veronica Gavagna [2], Di disfide, di righe e di compassi, 01-29-2025, 15:00
- Seminar
- Riccardo Bellé [1], Veronica Gavagna [2]
- [1] Università di Roma "Tor Vergata", [2] Università di Firenze
- Di disfide, di righe e di compassi
- Wednesday, 29 January 2025 at 15:00
- Aula Laboratorio FDS - tiny.cc/zoomfds
- Abstract
  
  Tra il 1547 e il 1548 ebbe luogo una delle più famose sfide della storia della matematica, che oppose Niccolò Tartaglia a Ludovico Ferrari. Nei Quesiti et inventioni diverse (1546) Tartaglia aveva infatti accusato Girolamo Cardano di avergli estorto anni prima la formula risolutiva dell'equazione di terzo grado e di averla poi pubblicata nella sua Ars Magna (1545); Ferrari decise quindi di confutare l'accusa rivolta al suo maestro Cardano sfidando Tartaglia nella risoluzione di trenta quesiti matematici di varia natura. A questa sfida Tartaglia rispose con altrettanti quesiti e in particolare chiese a Ferrari di dimostrare alcune proposizioni degli Elementi di Euclide senza usare il classico compasso collassabile ma il compasso fisso, il che equivale a modificare il terzo postulato. Ferrari fu in grado di raccogliere e vincere questa sfida? Scopriremo insieme come andò a finire e illustreremo possibili percorsi storico-didattici (in parte già sperimentati) per proporre, anche attraverso le fonti storiche, un approccio un po' inusuale alla geometria elementare, che induca a riflettere sul significato di dipendenza di una costruzione o di un teorema dai postulati, ovvero sulla costruzione di un sistema assiomatico-deduttivo.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
jan 31 fri 2025

Seminar
Alejandro Fernandez-Jimenez, Aggregation-diffusion equations with saturation, 01-31-2025, 11:00
- Seminar
- Alejandro Fernandez-Jimenez
- University of Oxford
- Aggregation-diffusion equations with saturation
- Friday, 31 January 2025 at 11:00
- Aula Seminari MOX - VI piano
- Abstract
  
  On this talk we will focus on the family of aggregation-diffusion equations
  $$
  \frac{\partial \rho}{\partial t} = \mathrm{div}\left(\mathrm{m}(\rho) \nabla (U'(\rho) + V) \right).
  $$
  Here, $\mathrm{m}(s)$ represents a continuous and compactly supported nonlinear mobility (saturation) not necessarily concave. $U$ corresponds to the diffusive potential and includes all the porous medium cases, i.e. $U(s) = \frac{1}{m-1} s^m$ for $m > 0$ or $U(s) = s \log (s)$ if $m = 1$. $V$ corresponds to the attractive potential and it is such that $V \geq 0$, $V \in W^{2, \infty}$.
  For this problem, we discuss: Existence using a suitable regularised approximation of the problem, we prove that the problem admits an $L^1$-contractive $C_0$-semigroup; $L^1$-local minimisers of the associated free-energy functional in the corresponding class of measures; and the long-time behaviour of the constructed solutions in view of its gradient flow structure. Furthermore, we observe saturation effects leading to "freezing" behavior, i.e. free boundaries at the saturation level. Finally, we explore the properties of a corresponding implicit finite volume scheme introduced by Bailo, Carrillo and Hu.
  The talk presents joint work with Prof. J.A. Carrillo and Prof. D. Gómez-Castro.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
feb 09 sun 2025

feb 14 fri 2025

WorkShop
Mathematical challenges in quantum mechanics 2025
02/09/2025 - 02/14/2025
- WORKSHOP
- MCQM 25
  Mathematical challenges in quantum mechanics 2025
- organizers
  G. Basti (Sapienza), S. Cenatiempo (GSSI), M. Falconi (PoliMi), D. Fermi (PoliMi), D. Monaco (Sapienza), A. Olgiati (PoliMi)
- The School and Workshop "Mathematical Challenges in Quantum Mechanics" - at its fourth edition - aims to present the state of the art in some challenging open problems in Quantum Mechanics from the point of view of Mathematical Physics, and provide a space for scientific exchanges among PhD students and early-career and senior researchers.
- Sunday, 9 February 2025 - Friday, 14 February 2025
  Gran Sasso Science Institute, L'Aquila
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
feb 12 wed 2025

Seminar
Fabio Punzo, Integrazione diretta della funzione potenza e applicazioni al logaritmo, 02-12-2025, 15:00
- Seminar
- Fabio Punzo
- Politecnico di Milano
- Integrazione diretta della funzione potenza e applicazioni al logaritmo
- Wednesday, 12 February 2025 at 15:00
- Aula Laboratorio FDS - tiny.cc/zoomfds
- Abstract
  
  Calcoleremo l'integrale definito della funzione potenza x^a, per via diretta, facendo uso solo della definizione di integrale definito, senza sfruttare il teorema fondamentale del calcolo. Nel caso a=-1, attraverso la funzione integrale di 1/x definiremo la funzione logaritmo naturale e ne dedurremo alcune proprietà.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
feb 14 fri 2025

Seminar
Ruijun WU, Estimates on the nodal sets of solutions to Dirac equations, 02-14-2025, 11:00
- Seminar
- Ruijun WU
- Beijing Institute of Technology
- Estimates on the nodal sets of solutions to Dirac equations
- Friday, 14 February 2025 at 11:00
- Aula Seminari - III Piano
- Abstract
  
  Motivated by the various Dirac equations in geometry and physics, we consider the nodal set of solutions to a class of Dirac equations. In contrast to scalar function case, we show that the nodal sets in general has codimension at least two, which strengthen the known results in the smooth setting and confirms a conjecture in spin geometry.
  Moreover, using a spinorial version of the frequency function, we show that the nodal set can be stratified nicely.
  This is based on a joint work with A. Malchiodi and W. Borrelli.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
mar 06 thu 2025

MOX Colloquia
Laura De Lorenzis, Lattice Boltzmann for solid mechanics: elastostatics and elastodynamics, 03-06-2025, 14:00
- MOX Colloquia
- Laura De Lorenzis
- Computational Mechanics Group, ETH Zurich
- Lattice Boltzmann for solid mechanics: elastostatics and elastodynamics
- Thursday, 6 March 2025 at 14:00
- Aula Rogers, Piano Terra, Edificio 11, Politecnico di Milano
- Abstract
  
  The talk overviews recent research by the authors on the development of second-order consistent and stable lattice Boltzmann formulations to solve elastostatics and elastodynamics problems. The first proposed scheme [1] solves the quasi-static equations of linear elasticity in two dimensions using a collision operator with multiple relaxation times. In contrast to previous works, our formulation solves for a single distribution function with a standard velocity set and avoids any recourse to finite difference approximations. As a result, all computational benefits of the lattice Boltzmann method can be used to full capacity. The second proposed scheme [2] solves the equations of linear elastodynamics in two dimensions (the extension to three dimensions is currently also available but still unpublished). The construction of the numerical scheme uses an equivalent first-order hyperbolic system of equations as an intermediate step, for which a vectorial lattice Boltzmann formulation is introduced. The only difference to conventional lattice Boltzmann formulations is the usage of vector-valued populations, so that once again all computational benefits of the algorithm are preserved. Both schemes are systematically derived using the asymptotic expansion technique. Stability is assessed for elastostatics with von Neumann analysis, whereas in elastodynamics we exploit the notion of pre-stability structures to prove stability for an arbitrary combination of material parameters under a CFL-like condition. Boundary formulation for various cases are proposed [3]. All theoretical derivations are numerically verified by convergence studies using manufactured solutions and long-term stability tests.
  
  [1] O. Boolakee, M. Geier, L. De Lorenzis (2023), A new Lattice Boltzmann scheme for linear elastic solids: periodic problems. Computer Methods in Applied Mechanics and Engineering, 404: 115756.
  
  [2] O. Boolakee, M. Geier, L. De Lorenzis (2025). Lattice Boltzmann for linear elastodynamics: periodic problems and Dirichlet boundary conditions. Computer Methods in Applied Mechanics and Engineering, 433: 117469.
  
  [3] O. Boolakee, M. Geier, L. De Lorenzis (2023), Dirichlet and Neumann boundary conditions for a lattice Boltzmann scheme for linear elastic solids on arbitrary domains. Computer Methods in Applied Mechanics and Engineering, 415: 116225.
  
  Contatti:
  davide.riccobelli@polimi.it
- Laura De Lorenzis
  Laura De Lorenzis received her Engineering degree and her PhD from the University of her hometown Lecce, in southern Italy, where she first stayed as Assistant and later as Associate Professor of Solid and structural mechanics. In 2013 she moved to the TU Braunschweig, Germany, as Professor and Director of the Institute of Applied Mechanics. There she was founding member and first Chair (2017-2020) of the Center for Mechanics, Uncertainty and Simulation in Engineering. Since 2020 she is Professor of Computational Mechanics at ETH Zürich, in the Department of Mechanical and Process Engineering. She was visiting scholar in several renowned institutions, including Chalmers University of Technology, the Hong Kong Polytechnic University, the Massachusetts Institute of Technology (as holder of a Fulbright Fellowship in 2006), the Leibniz University of Hannover (with an Alexander von Humboldt Fellowship in 2010-2011), the University of Texas at Austin and the University of Cape Town. She is the recipient of several prizes, including the RILEM L’Hermite Medal 2011, the AIMETA Junior Prize 2011, the IIFC Young Investigator Award 2012, the Euromech Solid Mechanics Fellowship 2022, the IACM Fellowship 2024, two best paper awards and two student teaching prizes. In 2011 she was awarded a European Research Council Starting Researcher Grant. She has authored or co-authored more than 150 papers on international journals on different topics of computational and applied mechanics. Since 2023 she is Editor of Computer Methods in Applied Mechanics and Engineering.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
mar 10 mon 2025

mar 11 tue 2025

WorkShop
Quantum mathematics @ polimi 2025 : workshop i
03/10/2025 - 03/11/2025
- WORKSHOP
- QMP25 - Workshop I
  Quantum mathematics @ polimi 2025 : workshop i
- organizers
  D. Fermi, M. Moscolari, A. Olgiati (PoliMi)
- Quantum Mathematics @ Polimi is a three-months intensive research period focusing on several aspects of the mathematics of quantum systems.
- Monday, 10 March 2025 - Tuesday, 11 March 2025
  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
mar 20 thu 2025

MOX Colloquia
Marie Rognes, Brain membranes and vasculature: a computational mathematics tale of dimensional gaps, 03-20-2025, 15:00
- MOX Colloquia
- Marie Rognes
- Simula Research Laboratory
- Brain membranes and vasculature: a computational mathematics tale of dimensional gaps
- Thursday, 20 March 2025 at 15:00
- Aula Rogers, Piano Terra, Edificio 11, Politecnico di Milano
- Abstract
  
  Structurally, brain tissue is characterized by thin cell membranes and slender vessels, defining submanifolds of codimension one and two respectively. Functionally, your brain fundamentally relies on the transport of ions and nutrients and movement of water in and between these spaces. These physiological processes are clearly crucial for brain function and health, but the precise mechanisms and their association with neurodegenerative diseases such as Alzheimer's and Parkinson's disease and neurological events such as seizures remain only partially understood. Notably, mathematical and computational modelling are beginning to play an important role in gaining new insight. In this talk, I will discuss key mathematical, numerical and computational challenges associated with modelling brain mechanics and transport across scales with an emphasis on coupled systems of partial differential equations with dimensional gaps.
  
  Contatti:
  paola.antonietti@polimi.it
- Marie Rognes
  Marie E. Rognes is Chief Research Scientist in Scientific Computing and Numerical Analysis at Simula Research Laboratory, Oslo, Norway. Her research focuses on computational mathematics and its applications in the life sciences in general and neuroscience in particular. She received her Ph.D from the University of Oslo in 2009 after an extended research stay at the University of Minnesota Twin Cities, Minneapolis, US. She has been at Simula Research Laboratory since 2009, and led its Department for Biomedical Computing from 2012 to 2016. She held a Professor II position (20%) at the Department of Mathematics, University of Bergen, Norway (2020-2022), and was a Visiting Fulbright Scholar at the Institute for Engineering in Medicine, University of California San Diego, CA, US (2022-2023).
  
  Rognes is a member of the Norwegian Academy for Technological Sciences (2022-) and was a Founding Member of the Young Academy of Norway in 2016. She won the 2015 Wilkinson Prize for Numerical Software, the 2018 Royal Norwegian Society of Sciences and Letters Prize for Young Researchers within the Natural Sciences, an ERC Starting Grant in Mathematics in 2017, and is the principal recipient of several ground-breaking research grants from the Research Council of Norway. She is (or has been) a member of the Research Council of Norway's Portfolio Board for ground-breaking research (2024-), the European Mathematical Society's Committee for Applications and Interdisciplinary Relations (2023-), the Interpore Council (2023-), and the FEniCS Steering Council (2016-2024), in addition to six Editorial Boards spanning pure and applied mathematics, scientific computing and mathematical software. Rognes has supervised more than 8 postdoctoral fellows, 16 PhD or DPhil students, and 13 MSc students in the period 2012-2024.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
mar 24 mon 2025

mar 26 wed 2025

WorkShop
Annual meeting of ems activity group on scientific machine learning
03/24/2025 - 03/26/2025
- WORKSHOP
- EMS-TAG-SciML-25
  Annual meeting of ems activity group on scientific machine learning
- organizers
  Paola F. Antonietti, Stefano Pagani, Francesco Regazzoni, Marco Verani (Chair), Paolo Zunino
- In recent years, the combination of numerical methods and machine learning has gained an ever-increasing interest as a research field within Numerical Mathematics and Scientific Computing. To further foster this development on a European level, the Topical Activity Group Scientific Machine Learning (SciML) of the European Mathematical Society (EMS TAG SciML) has been established. The first edition of the Annual Meeting of EMS-AI activity group on Scientific Machine Learning will bring together scientists from mathematics, computer science, and application areas to discuss the latest developments in computational and mathematical methods in Scientific Machine Learning.
- Monday, 24 March 2025 - Wednesday, 26 March 2025
  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
mar 26 wed 2025

MOX Colloquia
Wil Schilders, Advancing Scientific Machine Learning in Industry, 03-26-2025, 14:00
- MOX Colloquia
- Wil Schilders
- Eindhoven University of Technology and TU Munich-Institute for Advanced Study
- Advancing Scientific Machine Learning in Industry
- Wednesday, 26 March 2025 at 14:00
- Aula Castigliano, Politecnico di Milano
- Abstract
  
  Scientific machine learning (SciML) has been taking the academic world by storm as an interesting blend of traditional scientific modeling with machine learning (ML) methodologies like deep learning. While traditional machine learning methodologies have difficulties with scientific issues like interpretability, and enforcing physical constraints, the blend of ML with numerical analysis and differential equations has evolved into a novel field of research which overcome these problems while adding the data-driven automatic learning features of modern machine learning. Many successes have already been demonstrated, with tools like physics-informed neural networks, universal differential equations, deep backward stochastic differential equation solvers for high dimensional partial differential equations, and neural surrogates showcasing how deep learning can greatly improve scientific modeling practice. Consequently, SciML holds promise for versatile application across a wide spectrum of scientific disciplines, ranging from the investigation of subatomic particles to the comprehension of macroscopic systems like economies and climates.
  However, despite notable strides in enhancing the speed and accuracy of these methodologies, their utility in practical and specifically industrial settings remain constrained. Many domains within the scientific community still lack comprehensive validation and robustness testing of SciML approaches. This limitation is particularly pronounced when confronted with complex, real-world datasets emanating from interactions between machinery and environmental sensors as usually addressed in industry. Still if appropriately addressed, SciML with its promise to accelerate innovations and scientific discoveries by orders of magnitudes, offers unique opportunities to address the insatiable desire for faster and more accurate predictions in many fields.
  This presentation is dedicated to exploring recent advancements in the implementation of SciML techniques. We will discuss how methodologies can be refined to ensure their practical viability and scalability, particularly in industrial sectors where digital and physical components converge.
  
  Contatto:
  paola.antonietti@polimi.it
- Wil Schilders
  Wil Schilders studied Mathematics, with Physics and Astronomy, at the Radboud University in Nijmegen, The Netherlands, from 1974-1978, and obtained his PhD in numerical analysis from Trinity College Dublin in 1980. From 1980-2006 he worked at Philips Research, performing research on mathematical methods and software for semiconductor device simulation and electronic circuit simulation, and from 2006-2010 at NXP Semiconductors. Since 1999, he was also a part-time professor at TU Eindhoven on scientific computing for industry. In 2010, he moved to TU Eindhoven, and also became the director of the Dutch Platform for Mathematics. He has been active within the European Consortium for Mathematics in Industry (ECMI), being president in 2010-2011 and chairing the Research and Innovation Committee for many years. From 2015-20, he was president of EU-MATHS-IN, the European Service Network of Mathematics for Industry and Innovation (www.eu-maths-in.eu). Since October 1, 2023, he is the president of the International Council for Industrial and Applied Mathematics (ICIAM). In 2020, he was the 4th Mittelsten-Scheid guest professor at Bergische Universitaet Wuppertal, and since 2021 he is a Hans Fischer Senior Fellow at the Institute for Advanced Study at TU Munich. He is a fellow of the Society for Industrial and Applied Mathematics (SIAM) and was awarded the Dutch Stairway to Impact award end of 2022. In 2023, he organized the SIAM conference on Computational Science and Engineering in Amsterdam, with 2100+ participants. He supervised 25 PhD students, and led more than 10 European projects. His main expertise is in numerical linear algebra, model order reduction (he was chair of EU-MORNET) and recently he has become interested in scientific machine learning, a combination of numerical analysis/scientific computing and machine learning (his motto: ‘’Real intelligence is needed to make artificial intelligence work’’). He has a large network, also with industry, and is very interested in sustainability and the role of mathematics herein.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
apr 07 mon 2025

apr 09 wed 2025

WorkShop
1st workshop on data science for health and biology - ds4hb
04/07/2025 - 04/09/2025
- WORKSHOP
- DS4HB
  1st workshop on data science for health and biology - ds4hb
- organizers
  Francesca Ieva, Lara Cavinato, Anna Paganoni, Laura Savarè, Vittorio Torri, Giacomo Boracchi, Emanuele Di Angelantonio e Michela Massi
- DS4HB will bring together the brightest minds in data science, healthcare, and biology for a unique event designed to inspire dialogue, collaboration, and innovation in this multidisciplinary research field. The workshop is organized in 3 thematic days - Data Science for Omics (Day 1), Data Science for Imaging (Day 2) and Data Science for Electronic Health Records (Day 3) - and offers a broad landscape of invited talks, panel discussions, training and networking events. Featuring a diverse blend of perspectives and internationally renowned speakers, DS4HB provides a platform for cutting-edge ideas to flourish and for the next generation of researchers to learn from the leaders shaping the future of the life sciences.
- Monday, 7 April 2025 - Wednesday, 9 April 2025
  Politecnico di Milano, Milan (IT)
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
may 26 mon 2025

may 30 fri 2025

WorkShop
Quantum mathematics @ polimi 2025 : workshop ii
05/26/2025 - 05/30/2025
- WORKSHOP
- QMP25 - Workshop II
  Quantum mathematics @ polimi 2025 : workshop ii
- organizers
  D. Fermi, M. Moscolari, A. Olgiati (PoliMi)
- Quantum Mathematics @ Polimi is a three-months intensive research period focusing on several aspects of the mathematics of quantum systems.
- Monday, 26 May 2025 - Friday, 30 May 2025
  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
jun 03 tue 2025

jun 06 fri 2025

WorkShop
Quantum mathematics @ polimi 2025 : workshop iii
06/03/2025 - 06/06/2025
- WORKSHOP
- QMP25 - Workshop III
  Quantum mathematics @ polimi 2025 : workshop iii
- organizers
  A. De Martino, D. Fermi, M. Moscolari, A. Olgiati, P. Schlosser (PoliMi)
- Quantum Mathematics @ Polimi is a three-months intensive research period focusing on several aspects of the mathematics of quantum systems.
- Tuesday, 3 June 2025 - Friday, 6 June 2025
  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
jun 23 mon 2025

jun 27 fri 2025

WorkShop
29th international conference on domain decomposition methods
06/23/2025 - 06/27/2025
- WORKSHOP
- DD29
  29th international conference on domain decomposition methods
- organizers
  Paola F. Antonietti, Lourenco Beirao da Veiga, Silvia Bertoluzza, Michele Botti, Claudio Canuto, Gabriele Ciaramella, Paola Gervasio, Luca Pavarino, Alfio Quarteroni, Simone Scacchi, Christian Vergara
- The purpose of the meeting is to discuss recent developments in various aspects of domain decomposition methods, bringing together mathematicians, computational scientists, and engineers working on numerical analysis, scientific computing, high-performance computing, machine learning, and computational science with industrial and societal applications. This event is part of the activities of the Department of Exellence 2023-27.
- Monday, 23 June 2025 - Friday, 27 June 2025
  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
jun 30 mon 2025

jul 04 fri 2025

WorkShop
Differential geometry @ l'aquila 2025
06/30/2025 - 07/04/2025
- WORKSHOP
- Differential geometry @ l'aquila 2025
- organizers
  Lucio Bedulli, Luciano Mari, Giuseppe Pipoli, Mario Santilli, Alberto Roncoroni, Luigi Vezzoni
- The aim of the workshop is to focus on different recent advances in differential geometry and its applications, with particular emphasis on riemannian, metric and global differential geometry, theory of submanifolds and geometric flows.
- Monday, 30 June 2025 - Friday, 4 July 2025
  Università degli Studi dell'Aquila
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568