Members

The MCMP is supervised by 17 faculty members, three external members of IST Austria and one external member at the TU. They serve as mentors and potential supervisors for master theses and lecturers of a selection of courses in the curriculum.

works on probability and statistical mechanics, including dimers and random tilings, Schramm--Loewner Evolution (SLE) and Liouville conformal field theory.

works on Differential Geometry with applications to Complex Analysis, Geometric Theory of Differential Equations and General Relativity.

works on (topological) quantum field theory, using the language of higher algebra and algebraic topology.

works on several aspects of Mathematical Relativity.

works on Nonlinear Partial Differential Equations.

works on Dispersive Partial Differential equations such as wave and Schrödinger equations with applications to physics and geometry.

works on Global Analysis and Differential Geometry with applications to General Relativity.

works on Geometric Analysis with applications to General Relativity and Mathematical Cosmology

works on mathematical questions in Quantum Field Theory, Gravity and String Theory.

works on Partial Differential Equations with applications to wave propagation, geophysics and mechanics.

works on Functional Analysis, Differential Geometry and Partial Differential Equations with applications to   General Relativity

works on Lorentzian Geometry and General Relativity

works on Quantum Theories of fundamental interactions including gravity.

works on Quantum Information and Quantum Many-Body Physics, covering mathematical and physical aspects, and analytical as well as numerical approaches.

works on Differential Geometry and Partial Differential Equations with applications to General Relativity.

works on (supersymmetric) quantum field theories, exploring their symmetries, vacua, and defects via algebraic and geometric tools.

works on Spectral Theory and Dynamical Systems with applications to Mathematical Physics.

works on Low Dimensional Topology including Knot Theory and Contact Topology.

 External Members (IST Austria)

works on disordered quantum systems and spectral universality of random matrices.

works on stochastic analysis, partial differential equations, and optimal transport.

works on the quantum many body problem and quantum statistical mechanics.

 External Members (TU Vienna)

works on equilibrium and non-equilibrium aspects of classical statistical mechanics.