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Geometry and Mathematical Physics

Purpose of the PhD Course

The PhD program in Geometry and Mathematical Physics focuses on the study of analytic and geometric aspects of physical phenomena that are of fundamental interest in both pure and applied sciences and covers wide spectrum of topics in modern algebraic and differential geometry and their applications.


Click here for the fall schedule of the courses.


Research Topics

  • Integrable systems in relation with differential, algebraic and symplectic geometry, as well as with the theory of random matrices, special functions and nonlinear waves, Frobenius manifolds
  • Deformation theory and virtual classes for moduli spaces of sheaves and of curves, in relation with supersymmetric gauge theories, strings, Gromov-Witten invariants, orbifolds and automorphisms
  • Quantum groups, noncommutative Riemannian and spin geometry, applications to models in mathematical physics
  • Mathematical methods of quantum mechanics
  • Mathematical aspects of quantum Field Theory and String Theory
  • Symplectic geometry, sub-riemannian geometry, stochastic geometry, real algebraic geometry
  • Geometry of quantum fields and strings
  • Complex differential geometry
  • Generalized complex geometry

Lecture series



Geometers and Physicists collaborate within the iGAP project.


Admission to PhD Program

SISSA's Mathematics area offers a doctoral program focused on Geometry and Mathematical Physics (GMP) and targeted to excellent students.

The GMP graduate program is entirely taught in English and covers various topics in modern mathematics: algebraic geometry; real and complex differential geometry; stochastic and real algebraic geometry; non-commutative geometry; integrable structures in mathematics and physics, random matrices; special functions; nonlinear waves; geometry of strings and quantum fields; mathematical methods of quantum physics.

SISSA's students have the possibility of studying and doing research in an international and active environment, interacting closely with professors and postdocs.

During the first year of their PhD program, students will complete their training by attending graduate courses in their area of interest (here is the list of the current courses); the remaining years are dedicated exclusively to research.

Benefits for our students include:

  • mentoring programs
  • funding for summer schools and conferences
  • funding for 4 years (12 months/year stipend)
  • no teaching load (some light teaching is possible, if desired)
  • on-site kindergarten and maternity leave contribution
  • contribution toward housing expenses
  • language courses
  • rich seminar activity

Trieste has a low cost of living; it is an international city, and in 2020 was designated as European City of Science. SISSA, together with ICTP, the University of Trieste, iGAP, and the AREA Science Park, makes Trieste the perfect city for graduate studies. SISSA promotes international research and our PhD program also allows for "co-tutelle" supervisions in collaboration with many European Institutions.

Application Deadlines

Applications for the Spring call are closed. There might be another call in the Summer 2021, depending on the number of available positions. Further details will be posted on this page.

Courses start on October 1st 2021.

The application process starts here.

For any inquiries, please write to:


PhD Coordinator for Geometry and Mathematical Physics


Former Faculty Members

Former Professors

Visiting Professors

External Collaborators

Temporary Scientific Staff

PhD Students

Fourth Year Students

Third Year Students

Second Year Students

First Year Students


Previous PhD Theses

Click here to see the previous PhD Theses.



Click here to see the regulation of this Ph.D. course (in Italian).

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