The research in geometry and topology spans problems ranging from fundamental curiosity-driven research on the structure of abstract spaces to computational methods for a broad range of practical issues such as the analysis of the shapes of big data sets.

Permanent faculty

Rune Haugseng

 

Gereon Quick

homotopy theory and its applications in algebraic and arithmetic geometry

Markus Szymik

relations between topology, algebra, geometry, number theory, K-theory, representation theory, and computations

Marius Thaule

cobordism categories, topological field theories, abstract homotopy theory, higher order category theory and higher dimensional triangulated categories

Postdoctors

Glen Wilson

motivic homotopy theory, stable homotopy groups of spheres, K-theory, homological algebra, computer assisted Ext group calculations

PhD students

Håvard Bakke Bjerkevik

topological data analysis, stability of persistence modules, with advisors Nils Baas and Gereon Quick

Knut Bjarte Haus

(abstract) homotopy theory, and geometry, with advisor Gereon Quick

Erik Hermansen

topological data analysis, applied algebraic topology, computational neuroscience, with advisors Nils Baas and Benjamin Dunn

Erik Rybakken

applied algebraic topology, persistent homology, computational topology, topological data analysis, with advisors Nils Baas and Gereon Quick

Paul Trygsland