I am working in the following fields:

• commutative algebra (esp. totally integrally closed rings and factorization of integer valued functions)
• real algebra (esp. real closed rings) and real algebraic geometry (esp. Hilbert's 16th and 17th)
• (computational) algebraic geometry (esp. set-theoretic complete intersection of curves, computation of local cohomology of curves)
• thereotical kinematics (esp. inverse kinematics, rigidit theory, kinematic singularities)
• differential geometry (esp. singularity theory)
• number theory (esp. inverse Galois problem and topological Galois theory)