The concept of Hopf algebras was first introduced in the theory of algebraic topology but in recent years has been developed by many mathematicians and applied to other areas of mathematics such as ...

His research interests are in operator algebras, K-theory, and dynamical systems, which are linked through the study of noncommutative topological spaces. He has published over 15 articles in these ...

The mathematics for this in the case of topologically fault tolerant `surface codes’ is closely related on the one hand to quantum groups, Hopf algebras, braided categories[1] and quantum geometry[2] ...

A central topic is the classification theory of separable nuclear C*-algebras. We will apply and advance a wide range of methods and tools, such as the Ricci flow, heat flow methods, Gromov-Hausdorff ...

His research interests are (free) probability theory, operator algebras, quantum information theory and high-dimensional statistics. Recently, he is also interested in applications of random matrix ...

2022 online • Land, Markus; Nikolaus, Thomas; Schlichting, Marco L-theory of C∗-algebras. , 2022 online Current Projects • CRC 1442: Geometry: Deformation and Rigidity - A04: New cohomology theories ...