Mathematics

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.

Courses

Click here for the spring 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

• Theta and Tau functions in integrable systems

Seminars

• Noncommutative Geometry Seminar
• Geometric Structures Seminar
• Algebraic Geometry Seminar
• Geometry and Physics Seminar
• Mathematical Physics Seminar
• Kähler Geometry Seminar

iGAP

Geometers and Physicists collaborate within the iGAP project.

 

Admission to PhD Program

The Mathematics area at SISSA 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 of 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.

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

The GMP graduate program is structured as follows: during the first year, the students will complete their preparation by attending graduate courses (here is the list of the current courses), and 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 is an international city, with a low cost of living. Together with ICTP, the University of Trieste, iGAP, and the AREA Science Park, SISSA contributes to make Trieste the perfect city for graduate studies.

SISSA promotes international research and our PhD program also has co-tutelle supervisions with many European institutions.

Deadline for applications: 03 February 2022
Interviews: 14--18 February 2022 (remotely)

Courses start on October 1st 2022.

The application process starts here.
For any inquiries, please write to: phd@sissa.it or visit the dedicated webpage.

 

Faculty

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.

 

Regulation

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