Forschungsrichtungen am Institut für Analysis
Singular Analysis |
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| Elliptic and parabolic PDE on Manifolds with geometric singularities such as cusps, cones and edges |
Spectral geometry |
Quantisation |
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| Quantisation of gravity coupled to matter via Ashtekar-Barbero-Sen variables and noncommutative geometry |
| Geometric quantisation |
| Deformation quantisation |
Noncommutative Geometry and Operator Algebras |
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| K-theory of operator algebras and index theory. |
| Algebras of pseudo-differential operators and boundary value problems. |
| Constructive approaches to spectral triples. |
Spectral Theory |
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| Spectral theory with magnetic fields. |
| Operators on metric graphs (quantum graphs). |
