PhD courses

PhD courses offered for the 2021-2022 academic year:

  • Quantum field theory: the algebraic approach and the connection to factorisation algebras (Benini, Pinamonti)
  • Complex algebraic surfaces (Penegini, Perego)
  • Commutative algebra (Conca, Varbaro, reading course)
  • Homological algebra (Varbaro)
  • Introduction to the arithmetic of Galois representations (Vigni, reading course)
  • Topics in the Calculus of Variations: Optimal Transport and Gradient Flows (Di Marino, Mainini)
  • Mathematical modelling of biomedical data (Piana)
  • Introduction to convex optimization (Villa, Salzo)
  • Topics in Mathematics Education (Morselli)

Other courses will be proposed according to the scientific interests of incoming PhD students.

PhD courses offered for the 2020-2021 academic year:

  • Mathematical aspects of quantum field theory (Pinamonti)
  • Complex algebraic surfaces (Penegini, Perego)
  • Commutative algebra (Conca, Varbaro, reading course)
  • Homological algebra (Varbaro)
  • Topics in the calculus of variations (Di Marino)
  • Mathematical modelling of biomedical data (Piana)

PhD courses offered for the 2019-2020 academic year:

  • Mathematical aspects of quantum field theory (Pinamonti)
  • Complex algebraic surfaces (Penegini, Perego)
  • Homology and cohomology (Penegini, Perego)
  • Commutative algebra (Conca, Varbaro, reading course)
  • Homological algebra (Varbaro)
  • Mathematical modelling of biomedical data (Piana)
  • Simplicial sets and the Univalence Axiom (Emmenegger)
  • Realizability and hyperdoctrines (Pasquali)
  • An introduction to 3D geometry processing and shape analysis (Patanè, Biasotti)
  • Non-standard analysis (Camerlo)

PhD courses offered for the 2018-2019 academic year:

  • Introduction to induced representation theory (De Mari – 1st Semester)
  • Integral closure of ideals, normal Hilbert polynomials and local cohomology of Rees algebras (J.K. Verma (IIT Bombay) – 1-30/05/18)
  • Methods of Convex Optimization (De Vito, Villa (PoliMI), Salzo (IIT) – 1st Semester)
  • The Mathematics of Machine Learning (De Vito, Rosasco – 2nd Semester)
  • Scattering problems (Estatico, Piana – 2nd Semester)
  • Reading course “Analytic Number Theory” (Perelli)
  • Reading course “Computer Age Statistical Inference: Algorithms, Evidence and Data Science” (Riccomagno)
  • Reading course “Homological and combinatorial aspects of Commutative Algebra” (Conca, Varbaro)
  • Reading course “Mathematical aspects of Quantum Field Theory on curved spacetimes” (Pinamonti)
  • Reading course “Introduction to representation theory” (Sasso, Umanità)
  • Reading course “Introduction to Galois representations” (Vigni)
  • Reading course “Neural networks: from basics to deep learning” (Massone)
  • Reading course “Regularization in Banach spaces” (Benvenuto, Estatico)

PhD courses offered for the 2017-2018 academic year:

  • Aspects of mathematical physics I (Pinamonti)
  • Aspects of mathematical physics II (Martinetti)
  • Introduction to induced representation theory (De Mari)
  • Markovian quantum semigroups (Sasso, Umanità)
  • Number Theory (Perelli)
  • Online learning and Bayesian analysis (P. Alquier, organized by Pontil)
  • Reading course on machine learning (Massone)
  • Topics in algebraic geometry (Martinetti, Penegini, Vigni)
  • Topics in commutative algebra (Conca, Varbaro)

PhD courses offered for the 2016-2017 academic year:

  • Advanced topics in commutative algebra (Conca, Rossi, Varbaro)
  • Aspects of the Hough transform and its applications (Beltrametti, Massone)
  • Internet seminar “Infinite dimensional analysis” (Carbonaro, Mauceri)
  • Introduction to theory of group representation (Vigni)
  • Introduction to the theory of unitary representation (De Mari, De Viti)
  • Methods of the analysis of surfaces and their applications (Biasotti, Patané)
  • Mathematical aspects of quantum field theory on curved spacetime (Pinamonti)
  • Reading course about analytic number theory (Bettin, Perelli, Righetti)
  • Reading course about mathematical logic (Rosolini)