Research topics

The scientific project of the PhD Course in Mathematical Sciences is framed in the international system of contemporary mathematical research.

In particular, the PhD Course benefits from the scientific and teaching expertise of the members of the Department of Mathematical Sciences “G. L. Lagrange” of Politecnico di Torino, who covers all the main subsectors of the ERC sector PE1 – Mathematics.

In more details:

  • PE1_1 Logic and foundations
  • PE1_2 Algebra
  • PE1_3 Number theory
  • PE1_4 Algebraic and complex geometry
  • PE1_5 Lie groups, Lie algebras
  • PE1_6 Geometry and global analysis
  • PE1_7 Topology
  • PE1_8 Analysis
  • PE1_9 Operator algebras and functional analysis
  • PE1_10 ODE and dynamical systems
  • PE1_11 Theoretical aspects of partial differential equations
  • PE1_12 Mathematical physics
  • PE1_13 Probability
  • PE1_14 Mathematical statistics
  • PE1_15 Generic statistical methodology and modelling
  • PE1_16 Discrete mathematics and combinatorics
  • PE1_17 Mathematical aspects of computer science
  • PE1_18 Numerical analysis
  • PE1_19 Scientific computing and data processing
  • PE1_20 Control theory, optimisation and operational research
  • PE1_21 Application of mathematics in sciences
  • PE1_22 Application of mathematics in industry and society

At the end of their training, students of the PhD Course in Mathematical Sciences are equipped with the necessary expertise to:

  • Conduct autonomously qualified research activity and produce original results relevant to specific areas of Mathematics and its applications;
  • Conceive and propose projects focussed on basic research, applied research or technological innovation;
  • Exploit fruitfully their advanced education in applied or industrial contexts;
  • Collaborate with other scholars to research projects also in multi-disciplinary contexts;
  • Analyse and exploit critically the scientific and technical literature pertinent to their field of expertise and communicate effectively methods and results of their scientific activity.


For detailed information about research groups and topics of the Department of Mathematical Sciences "G. L. Lagrange" please refer to the following pages: and