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 29 thu 2026

jan 30 fri 2026

WorkShop
Siam chapters meeting for young researchers in applied mathematics and scientific computing
01/29/2026 - 01/30/2026
- WORKSHOP
- SCYRAM
  Siam chapters meeting for young researchers in applied mathematics and scientific computing
- organizers
  Davide Carrara, Luca Sosta, Giovanni Ziarelli, Luca Formaggia
- The SIAM Chapter Meeting in Applied Mathematics will take place on 29-30 January 2026 at Politecnico di Milano, following the success of the first Joint GNCS-SIAM Chapters Meeting for Young Researchers in Numerical Analysis and Applied Mathematics. This event offers an excellent opportunity to foster scientific interaction among young researchers in applied mathematics, numerical analysis, scientific computing, and statistical learning. The program will include keynote lectures by senior researchers, invited and contributed talks by young scientists (PhD students and PostDocs), and a poster session. This year, the poster session will be complemented by an elevator pitch format, where each presenter will give a three-minute flash talk to introduce their work and encourage engagement and discussion. The meeting is jointly organised by the Italian SIAM Chapters at Politecnico di Milano (PoliMi), Scuola Internazionale Superiore degli Studi Avanzati (SISSA), Università di Genova (UniGe), Università di Pavia - IMATI (UniPV-IMATI), and Università di Pisa - Scuola Normale Superiore (UniPi-SNS). This event is partly funded by GNCS-INdAM and held under the patronage of the Società Italiana di Matematica Applicata e Industriale (SIMAI). Submissions and participation are warmly encouraged from researchers across all Italian universities and research centres. The event is part of the activities of the Department of Excellence 2023-2027 (Dipartimento di Matematica - Politecnico di Milano).
- Thursday, 29 January 2026 - Friday, 30 January 2026
  Politecnico di Milano, Edificio 13 (Trifoglio)
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

Upcoming events

feb 02 mon 2026

WorkShop
New trends on the foundations of quantum systems - inaugural conference of the foqus laboratory
02/02/2026
- WORKSHOP
- FoQuS26
  New trends on the foundations of quantum systems - inaugural conference of the foqus laboratory
- organizers
  FoQuS Lab
- A Worskhop featuring experts from mathematical physics, quantum probability, mathematical analysis and philosophy of physics, working on cutting-edge research on quantum theory, in the spirit of our newly created Laboratory FoQuS.
- Monday, 2 February 2026 - Monday, 2 February 2026
  Campus Leonardo
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
feb 04 wed 2026

WorkShop
Climate risk seminar
02/04/2026
- WORKSHOP
- CLIMRISK
  Climate risk seminar
- organizers
  Emilio Barucci
- February, 4, 2026 Seminar room VI floor 15.00-17.00 Department of Mathematics 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. - Sara Biagini (LUISS University) Carbon Neutrality and Net-Zero Regulation Discussant: Daniele Mancinelli (Politecnico di Milano) Edit Rroji (Università di Milano Bicocca) Market perceived deadline for the transition to a low carbon economy Discussant: Rocco Mosconi (Politecnico di Milano) This event has been (partially) supported by MUR, Department of Excellence 2023-27
- Wednesday, 4 February 2026 - Wednesday, 4 February 2026
  Department of mathematics, VI floor room
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
feb 05 thu 2026

feb 06 fri 2026

WorkShop
Genova, torino, milano seminar - some topics in commutative algebra and algebraic geometry
02/05/2026 - 02/06/2026
- WORKSHOP
- GTM26
  Genova, torino, milano seminar - some topics in commutative algebra and algebraic geometry
- organizers
  A. Alzati, E. Carlini, A. Garbagnati, P. Lella, E. Martinengo, E. Romano, M. Varbaro
- This workshop is the latest edition of a series organized periodically and jointly by colleagues from Genova, Torino and Milano since 2008. These Italian cities are quite close between each other, forming the vertices of an almost equilateral triangle. We took advantage of such a convenient geographical situation to regularly organize small workshops, with researchers from the three cities (and usually one or two external guests) as speakers. The aim is to give both an overview on some recent results on Commutative Algebra and Algebraic Geometry, and the opportunity for researchers working on similar topics to compare recent results and techniques. The outcome is to strengthen past and present collaborations and to give young researchers the opportunity to present their results. Previous editions took place in Torino (September 2008, April 2010, June 2012, October 2014, Novembre 2017, September 2021, November 2024), Genova (March 2009, February 2011, March 2013, February 2016, February 2017, September 2019, June 2023) and Milano (November 2009, November 2011, January 2014, September 2015, July 2018, February 2024).
- Thursday, 5 February 2026 - Friday, 6 February 2026
  Dipartimento di Matematica, Università degli Studi di Genova
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
feb 09 mon 2026

MOX Seminar
Pedro da Silva Peixoto, Challenges of numerical modelling of the atmosphere dynamics on spherical polygonal grids, 02-09-2026, 10:00
- MOX Seminar
- Pedro da Silva Peixoto
- University of São Paulo
- Challenges of numerical modelling of the atmosphere dynamics on spherical polygonal grids
- Monday, 9 February 2026 at 10:00
- Aula Saleri
- Abstract
  
  In this talk we will discuss, from a historical perspective, the evolution of the numerical modelling of atmosphere dynamics and its application to weather forecasting and climate simulations. Challenges of a recent generation of models, mostly those based on spherical polygonal grids, will be presented with examples and results of existing open problems on mathematical and numerical aspects.
  
  Contatto:
  paola.antonietti@polimi.it
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
feb 11 wed 2026

Seminar
Mirko Maracci, Quale preparazione in matematica per l'università? come valutarla?, 02-11-2026, 15:00 precise
- Seminar
- Mirko Maracci
- Università di Pisa
- Quale preparazione in matematica per l'università? come valutarla?
- Wednesday, 11 February 2026 at 15:00 right
- Aula Laboratorio FDS - tiny.cc/zoomfds
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
feb 17 tue 2026

feb 18 wed 2026

WorkShop
Recent advances in pdes and geometric analysis
02/17/2026 - 02/18/2026
- WORKSHOP
- Recent advances in pdes and geometric analysis
- organizers
  Fabio Punzo and Matteo Muratori
- The conference is devoted to recent advances in the theory of partial differential equations and geometric analysis, with a particular focus on the study of PDEs in non-Euclidean settings.
- Tuesday, 17 February 2026 - Wednesday, 18 February 2026
  Dipartimento di Matematica (DMAT), 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 05 thu 2026

MOX Colloquia
Tilmann Gneiting, Assessing Monotone Dependence, 03-05-2026, 14:00
- MOX Colloquia
- Tilmann Gneiting
- HITS Heidelberg Institute for Theoretical Studies
- Assessing Monotone Dependence
- Thursday, 5 March 2026 at 14:00
- Aula Consiglio - VII piano
- Abstract
  
  The assessment of monotone dependence between random variables $X$ and $Y$ is a classical problem in statistics and a gamut of application domains. Consequently, researchers have sought measures of association that are invariant under strictly increasing transformations of the margins, with the extant literature being splintered. Rank correlation coefficients, such as Spearman's rho and Kendall's tau, have been studied at great length in the statistical literature, mostly under the assumption that $X$ and $Y$ are continuous. In the case of a dichotomous outcome $Y$, receiver operating characteristic (ROC) analysis and the asymmetric area under the ROC curve (AUC) measure are used to assess monotone dependence of $Y$ on a covariate $X$. In this talk I demonstrate that the two thus far disconnected strands of literature can be unified and bridged, by developing common population level theory, common estimators, and common tests that apply to all types of linearly ordered outcomes. In case studies, we assess progress in artificial intelligence (AI) based weather prediction and evaluate methods of uncertainty quantification for the output of large language models. The talk is based on joint work with Eva-Maria Walz and Andreas Eberl.
- Tilmann Gneiting
  Tilmann Gneiting received a PhD degree in Mathematics from the University of Bayreuth in Germany in 1997. From 1997 to 2009, he held faculty positions in the Department of Statistics at the University of Washington in Seattle (United States), before moving to the Institute of Applied Mathematics at Heidelberg University in Germany. Since 2013, he has been serving in a joint position as Professor of Computational Statistics at Karlsruhe Institute of Technology (KIT) and Group Leader at the Heidelberg Institute for Theoretical Studies (HITS). Tilmann's research focuses on two main areas, spatial and spatio-temporal statistics, and the theory and practice of forecasting. In 2011, he was awarded an ERC Advanced Grant in support of his research on probabilistic predictions. From 2016 to 2018 Tilmann served as Editor-In-Chief for the Annals of Applied Statistics, and in 2023 and 2024 he held the position of Scientific Director at HITS. Recent awards include the Ulf Grenander Prize in Stochastic Theory and Modeling (2024) by the American Mathematical Society and the Wald Memorial Award (2026) by the Institute of Mathematical Statistics.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
mar 19 thu 2026

MOX Colloquia
Sebastian Geiger, Modelling for understanding – old problems and new challenges for the energy transition, 03-19-2026, 14:00
- MOX Colloquia
- Sebastian Geiger
- Delft University of Technology
- Modelling for understanding – old problems and new challenges for the energy transition
- Thursday, 19 March 2026 at 14:00
- Sala Consiglio, Dipartimento di Matematica, Politecnico di Milano
- Abstract
  
  Geoenergy applications beyond hydrocarbons will play an essential role in accelerating the energy transition: Carbon capture and storage (CCS) is one of the most important approaches to mitigate CO2 emissions; approximately 50% of the energy consumed in the northern hemisphere is needed for heating and cooling, and the expanded use of geothermal energy could lead to significant CO2 reduction; the development of a hydrogen economy for power, transport, and production will rely on intermittent hydrogen storage in geological formations or salt caverns.
  
  All these low-carbon geoenergy applications need bespoke reservoir modelling approaches to estimate available pore volumes for storage, capture how fluids with vastly different properties (e.g. hydrogen vs. hot water) interact with multi-scale geological heterogeneities, and quantify possible operational risks (e.g., early breakthrough of cold water during geothermal energy extraction) while accounting for the uncertainties inherent to geological formations.
  
  This talk will explore how mathematical techniques could be adapted to overcome limitations in existing modelling approaches for low-carbon geoenergy applications. Such new modelling approaches should help to ensure that we design meaningful reservoir models that can provide reservoir performance forecasts with reliable uncertainty bounds, which are needed for new geoenergy applications to advance our transition to a low-carbon energy future.
  
  Contatto:
  alessio.fumagalli@polimi.it
- Sebastian Geiger
  Prof. Dr. Sebastian Geiger, FREng, FRSE, FGS is the Professor of Sustainable Geoenergy and Energi Simulation Chair at the Department of Geoscience and Engineering at the Delft University of Technology. Before joining the Delft University of Technology in 2022, he spent 16 years at Heriot-Watt University where he held the Energi Simulation Chair for Fractured and Geothermal Reservoirs, was the Director of the Institute of Geoenergy Engineering, and was Director of Research for the School of Energy, Geoscience, Infrastructure, and Society.
  
  Sebastian received a PhD degree in Computational Geology from ETH Zurich in 2004 and worked at ETH Zurich as a postdoctoral researcher. He holds an MSc degree in Hydrogeology from Oregon State University (2000) and a Vordiplom (equivalent to BSc degree) in Geology and Mineralogy from the University of Freiburg, Germany (1997). He joined Heriot-Watt University in 2006 as an Assistant Professor and was promoted to Associate Professor in 2009 and Full Professor in 2010.
  
  In 2017 Sebastian received the Alfred Wegener Award from the European Association of Geoscientists and Engineers (EAGE). In 2020 he was appointed as a Fellow of the Royal Society of Edinburgh, Scotland’s national academy of science and letters. In 2022 he was elected as a Fellow of the Royal Academy of Engineering in the UK and in 2024 as a Fellow of the Geological Society of London. He has published over 200 reviewed conference papers and peer-reviewed journals and edited one book. He graduated over 30 PhD students, supervised over 100 MSc project theses, and trained over 10 postdoctoral researchers.
  
  Sebastian is the Editor-in-Chief for the journal Geoenergy and works closely with professional societies such as the European Association of Geoscientists and Engineers. He is also an instructor for HOT Engineering, is a Board Member for the Scottish Energy Forum, and a scientific advisor to NAGRA (Swiss National Cooperative for the Disposal of Radioactive Waste). Together with Dr Hadi Hajibeygi, he created the Geoscience and Geoenergy YouTube Channel, which broadcasts webinars to an audience of over 3700 subscribers across the world.
- Politecnico di Milano, Dipartimento di Matematica 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
- WORKSHOP
- Indam workshop: geometry of severi varieties and hurwitz spaces
- 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
- WORKSHOP
- CAAG26
  Commutative algebra and algebraic geometry in milan
- 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
jul 05 mon 2027

jul 09 fri 2027

WorkShop
International conference on spectral and high-order methods
07/05/2027 - 07/09/2027
- WORKSHOP
- ICOSAHOM2027
  International conference on spectral and high-order methods
- organizers
  P.F. Antonietti, N. Parolini, M. Verani (Conference Chairs), C. Canuto, A. Quarteroni (Honorary Chairs), L. Beirao da Veiga, F. Bonizzoni, L. Dede’, I. Fumagalli, P. Gervasio, C. Marcati, L. Mascotto, I. Mazzieri, S. Perotto, G. Sangalli
- Since 1989, the International Conference on Spectral and High-Order Methods (ICOSAHOM) has served as a leading international forum for researchers and practitioners working on the theoretical, computational, and applied aspects of high-order and spectral methods for solving differential equations. The 2027 edition of ICOSAHOM will be proudly hosted by Politecnico di Milano, bringing together experts from around the world to share the latest advances and foster new collaborations in this vibrant field. ICOSAHOM 2027 is a satellite meeting of the 11th International Congress on Industrial and Applied Mathematics (ICIAM), The Hague, The Netherlands, 12-16 July 2027.
- Monday, 5 July 2027 - Friday, 9 July 2027
  Politecnico di Milano
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568