The members of the Research group consists of permanent staff, graduate students and postdocs as well as emeriti.
Currently in charge of the group 

Professor 
Commutative algebra, real algebraic geometry 
Permanent Staff 

Professor 
Topology 
My research revolves around interactions between algebraic topology and commutative algebra. I am particularly interested in algebraic models for homotopy types, Koszul duality for algebras over operads and homology of commutative rings.  
My research is in algebraic geometry and centers around the moduli spaces of curves and abelian varieties. In particular I would like to understand the cohomology of such spaces and their connection to modular forms.  
My research interests center around algebraic theories of differential equations, and their use in algebraic geometry, e. g. algebraic Dmodule theory (how to interpret topology in terms of DE) or asymptotic behaviour of zerosets of solutions to parameter dependent systems of DE.  
Arithmetic algebraic geometry  
My research in number theory centers around so called Shimura varieties, in particular explicit computations concerning associated moduli problems, related modular forms, and periods.  
My research in computational algebra concerns commutative and noncommutative Gröbner bases, vanishing ideals of points, graded Lie algebras, and Boolean rings.  
Topology of algebraic varieties, moduli spaces, Hodge theory and arithmetic.  
My research interest is algebra, especially representation theory and invariant theory. I am also involved in a research project in mathematics education about algebra in elementary school.  
Graduate Students and Postdocs 

Polytopes, commutative algebra  
I am a PhD student at in the topology group. My advisor is Alexander Berglund. My research centers around questions in topology and algebra, especially topics connected to rational homotopy theory, Hochschild cohomology, operads and BValgebras.  
Number theory, algebraic geometry, homotopy theory and representation theory. More specifically, I study zeta functions, lambdarings and Tannakian symbols arising in all these areas. I also think about automated conjecturing and automated proofs.  
Combinatorics  
My research areas are algebraic geometry and algebraic number theory. At the moment I am working on:


Commutative algebra and graph theory  
Commutative algebra  
Topology  
Topology  
Topology  
Emeriti 

Commutative algebra and combinatorics  
Commutative algebra  
My area of research is commutative algebra. I have mainly been concerned with the theory of noetherian rings and modules and made some research on chain conditions, lengths, generating sets of ideals etc.  
Commutative algebra  
I am working on various aspects of supersymmetry and their applications. Some of them are unexpected, e.g., EVERY differential equation possesses a supersymmetry (this phenomenon is manifest in terms of Cartan's exterior differential systems). I intend to describe the Lie superalgebras of classical equations of mathematical physics. 