UNCUMR
The German-Argentinian research collaboration "Lie Theory in Algebra, Analysis, and Geometry“
Since many years, the Math Departments of the Philipps-Universität Marburg (UMR / FB 12) and the Universidad Nacional de Córdoba (UNC / FAMAF) are collaborating in a quite unique selection of topics unified by the many different aspects of Lie theory.
In 2025, two joint workshops were organised - one in Cordoba in March (https://sites.google.com/unc.edu.ar/workshop/home) and one in Marburg in September.
Sönke Rollenske during a talk in Cordoba, March 2025
The unifying theme of the collaboration is Lie theory, which originated in the study of infinitesimal symmetries. The methods and applications of Lie theory pervade large parts of modern mathematics, making it a fitting unifying theme for a multidisciplinary scientific collaboration.
Participating researchers
| Philipps University Marburg | |
| Name | Research area |
| Prof. Dr. Ilka Agricola | Differential geometry and global analysis |
| Prof. Dr. Oliver Goertsches | Differential geometry and algebraic topology |
| Prof. Dr. Istvan Heckenberger | Algebraic Lie theory |
| Prof. Dr. Pablo Ramacher | Global Analysis |
| Prof. Dr. Sönke Rollenske | Complex and Algebraic Geometry |
| Dr. Sebastian Halbig | Algebraic Lie theory |
| Dr. Eugenia Loiudice | Differential geometry |
| Universidad Nacional de Córdoba | |
| Name | Research area |
| Prof. Dr. Adrián Andrada | Differential geometry of homogeneous spaces |
| Prof. Dr. Iván Angiono | Hopf algebras and tensor categories |
| Prof. Dr. Romina Arroyo | Special geometric structures and geometric flows |
| Prof. Dr. María Laura Barberis | Differential geometry of homogeneous spaces |
| Prof. Dr. Leandro Cagliero | Representations of Lie groups, cohomology of algebras |
| Prof. Dr. Agustín García Iglesias | Hopf algebras and tensor categories |
| Prof. Dr. Jorge Lauret | Differential geometry of homogeneous spaces |
| Prof. Dr. Juan Pablo Rossetti | Spectral geometry of manifolds and orbifolds |
| Prof. Dr. Cristian Vay | Hopf algebras and tensor categories |
| Prof. Dr. Cynthia Will | Differential geometry of homogeneous spaces |
| Dr. Marcos Origlia | Differential geometry of homogeneous spaces |
| Dr. Alejandro Tolcachier | Differential geometry of homogeneous spaces |
Furthermore, many master and PhD students are participating in both departments.
Currently, the two universities are preparing a cotutelle agreement for the joint supervision of PhD students.