Matthias Lesch

Prof. Dr. Matthias Lesch is a full professor at the Mathematical Institute, University of Bonn, where he leads the research group in Analysis and Partial Differential Equations. His work bridges Noncommutative Geometry, Operator Algebras, Spectral Theory, and Differential Operators on Manifolds.

• University: University of Bonn
• Department: Mathematical Institute
• Academic Rank: Professor

Research Interests:
Lesch specializes in Noncommutative Geometry (à la Connes), Operator Algebras, and Spectral Theory. His work on (pseudo)differential operators on manifolds explores deep connections between geometry, analysis, and quantum physics. He has contributed to understanding the Chern-Weil theory for singular spaces and the Atiyah-Patodi-Singer index theorem in non-compact settings.

Article Trends:
Lesch’s recent publications focus on divided differences in noncommutative contexts, regularized traces, and Fredholm determinants. His work often intersects with geometric analysis, quantum gravity, and K-theory, emphasizing both theoretical rigor and applications to mathematical physics.

Students and Postdocs:
He has mentored numerous PhD and Master’s students, including notable alumni like Boris Vertman (now Professor at Oldenburg) and Koen van den Dungen (now Professor at Ghent). His research group includes active postdocs like Oliver Fürst and Eva-Maria Hekkelman.

Communication Guidelines:
Lesch is hearing impaired and prefers quiet environments with visible speakers. He avoids phone calls unless prearranged by email and explicitly rejects unsolicited automated referee requests from systems like EditorialManager.com.