Curriculum Vitae

"To those who do not know mathematics it is difficult to get across a real feeling as to the beauty, the deepest beauty, of nature. [. . .] If you want to learn about nature, to appreciate nature, it is necessary to understand the language that she speaks in." - Richard P. Feynman

Research Interests:

→ mathematical foundations of quantum field theory and general relativity

→ gauge theories and underlying mathematical structures

→ mathematical aspects of quantum gravity

→ differential topology and (pseudo–)Riemannian geometry

→ functional and microlocal analysis and its application to physics

→ analysis of PDEs

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