Twisted Isospectrality, Homological Wideness, and Isometry

“Most of the chapters contain some Open Problems or Projects. … Most of the presented results are given with their complete proofs; this fact increases the value of the book and makes it an excellent scientific material for the researchers. … one must remark once more the very well organization and extremely clarity of this SpringerBriefs monograph.” (Adela-Gabriela Mihai, zbMATH 1535.58001, 2024)

Gunther Cornelissen holds the chair of geometry and number theory at Utrecht University. He earned his PhD from Ghent University in 1997 and has held visiting positions at institutions such as the Max Planck Institute for Mathematics in Bonn, Leuven University, California Institute of Technology and the University of Warwick. His research focuses on Arithmetic Geometry, particularly in positive characteristic, and also branches off into areas such as Spectral Geometry, Undecidability, Algebraic Dynamics and Graph Algorithms.

Norbert Peyerimhoff received his PhD in Mathematics in 1993 from the University of Augsburg. He held postdoctoral positions at the City University of New York, was an Assistant at the University of Basel and at the Ruhr University Bochum, before moving to Durham University (United Kingdom) in 2004. He has been a Professor of Geometry at Durham University since 2013, and his research interests include Differential Geometry, Discrete Geometry,Lie groups, Dynamical Systems, Spectral Theory and X-Ray Crystallography.