Doctorate Degrees in Geometry

Compare PhD Programs in Geometry

A PhD, also known as a Doctor of Philosophy degree, is a doctorate awarded by a university to the academic who has met all necessary qualifications and can now be considered a doctor in his or her academic field.

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PhD in Geometry and Mathematical Physics

International School for Advanced Studies (SISSA)
Campus Full time 3 - 4 years October 2019 Italy Trieste

The Ph.D. 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 [+]

Purpose of the Ph.D. Course

The Ph.D. 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 a wide spectrum of topics in modern algebraic and differential geometry and their applications.

Research Topics Integrable systems in relation to 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 moduli spaces of sheaves and of curves, in relation to 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 Geometry of quantum fields and strings Seminar on Hodge theory ... [-]