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Global analysis and PDE's research group

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Global Analysis and the theory of partial differential equations are classical fields of mathematics that have a wide range of applications within mathematics, for instance in number theory, group theory, geometry and topology, but also have important applications outside of mathematics to physics, engineering and chemistry.

The Global Analysis and PDEs research group is rooted in pure mathematics and focuses on geometric and topological aspects of
analysis. The interests of the group include spectral and scattering theory on manifolds, regularity and existence of global solutions to
pseudo-differential equations and boundary value problems, topological questions related to generalizations of the Atiyah-Singer index theorem, applications of theory of PDE to approximation theory, as well as other topics.

Seminars relevant to the group are held in the analysis seminar series as well as in the mathematical physics seminar series.


Academic staff

Dr Eugénie Hunsicker Elliptic partial differential equations on noncompact and singular manifolds. Intersection Cohomology and its generalizations. Index Theory on noncompact and singular manifolds. Monopole and other moduli spaces arising in physics
Dr Jörg Seiler Microlocal analysis and pseudodifferential operators, elliptic and parabolic partial differential equations and boundary value problems on singular spaces, maximal regularity for mixed order systems, moving boundary problems.
Dr Alexander Strohmaier Differential (pseudodifferential) operators on manifolds and their spectral theory, microlocal and semiclassical analysis, scattering theory, quantum chaos, quantum field theory on curved spacetimes, noncommutative geometry.

Research associate

Dr Ville Uski Numerical methods for the Laplace operator on manifolds, scattering theory, quantum chaos. Density-functional-theory calculations. Analysis of the dynamics of particles suspended in turbulent flows.

Research student

Nikolaos Roidos Spectral theory of the Laplace operator on manifolds with generalized cusps, including finding generalized eigenfunctions and extending the resolvent.
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