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)

Geometrindi e Matematindi (Luigi Serafini 2002)

Numerical simulation of blood flow in the heart (courtesy of Prof. Alfio Quarteroni)

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.

Upcoming events
  • jul 04 mon 2022

    MOX Seminar
    Michele Botti, Functional Inequalities in Broken Sobolev Spaces and Applications to Polyhedral Discretization Methods,  07-04-2022, 11:00
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    MOX
    MOX Numeth

    • MOX Seminar
    • Michele Botti
    • MOX, Dipartimento di Matematica, Politecnico di Milano
    • Functional Inequalities in Broken Sobolev Spaces and Applications to Polyhedral Discretization Methods
    • Monday, 4 July 2022 at 11:00
    • Aula Saleri, MOX - Dipartimento di Matematica - Politecnico di Milano
    • Abstract
      In this talk, I will present several functional analysis tools that are instrumental to establish the stability and convergence analysis of nonconforming approximation methods on polyhedral meshes for a wide class of nonlinear problems. Starting from some preliminary results concerning broken Sobolev spaces, I will develop novel arguments to prove the broken version of Poincaré, Korn, trace inequalities and Sobolev embeddings. The main ingredient is a generalization of the local continuous trace inequality allowing to establish the results without restricting to piecewise polynomials or other discrete functional spaces and without requiring the definition of an interpolator mapping the discontinuous functions to continuous ones.

      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

  • jul 04 mon 2022

    Seminar
    Gigliola Staffilani, The Schrödinger equation as inspiration of beautiful mathematics,  07-04-2022, 17:00
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    • Seminar
    • Gigliola Staffilani
    • Massachusetts Institute of Technology
    • The Schrödinger equation as inspiration of beautiful mathematics
    • Monday, 4 July 2022 at 17:00
    • Sala Consiglio 7 piano, Edificio La Nave
    • Abstract
      In the last two decades great progress has been made in the study of dispersive and wave equations. Over the years the toolbox used in order to attack highly nontrivial problems related to these equations has developed to include a collection of techniques: Fourier and harmonic analysis, analytic number theory, math physics, dynamical systems, probability and symplectic geometry. In this talk I will introduce a variety of results using as model problem mainly the periodic 2D cubic nonlinear Schrödinger equation. I will start by giving a physical derivation of the equation from a quantum many-particles system, I will introduce periodic Strichartz estimates along with some remarkable connections to analytic number theory, I will move on to the concept of energy transfer and its connection to dynamical systems, and I will end with some results on the derivation of a wave kinetic equation.
    • Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

  • jul 10 sun 2022

    jul 16 sat 2022

    WorkShop
    Group actions in algebraic geometry
    07/10/2022 - 07/16/2022
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    • WORKSHOP
    • organizers
      Alexandru Constantinescu (Freie Universität Berlin, Germania), Andreas Hochenegger (Politecnico di Milano), Elena Martinengo (Università degli Studi di Milano).
    • We will celebrate Klaus Altmann's birthday by bringing together experts working in toric geometry and related fields. Besides talks about recent results, there will be a lot of time for interaction and discussions.
    • Sunday, 10 July 2022 - Saturday, 16 July 2022
      Hotel San Michele, Cetraro
    Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568