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.  
Senior lecturer 
My research interest concerns the interaction between operator algebras, group theory and representation theory. The major link between these topics is created by group operator algebras, such as the reduced group C*algebras or the group von Neumann algebra, both associated with an arbitrary locally compact group. Next to research mathematics, my professional interests include didactics of higher education and learning different languages. 
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.  
My research focuses in algebraic geometry. More precisely, in this moment, my interests can be divided in two main branches. On one side I aim to recover geometric and arithmetic information from the derived category of coherent sheaves of a smooth projective variety, paying particular attention to varieties defined over field of positive characteristic. On the other side I am working on a cohomological characterization of semiabelian varieties.  
Graduate Students and Postdocs 

Polytopes, commutative algebra  
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.  
My research is in arithmetic geometry and number theory . In particular I study rational points on, zeta functions of, and Galois representations attached to algebraic varieties.  
Combinatorics  
My research areas are algebraic geometry and algebraic number theory. At the moment I am working on:


Commutative algebra  
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. 