Can one formulate gravity as a renormalizable quantum field theory? Clearly, the answer is positive: any quantum field theory becomes renormalizable if all possible counterterms are included in the action. This is the perspective of quantum gravity having the status of an effective field theory. The interesting question is then whether one can find a formulation of quantum gravity which also enjoys the predictive power known from the quantum field theories underlying the standard model of particle physics.

Following up on this question, my research spans a wide range of topics in quantum gravity and quantum field theory. Currently, the main focus is on constructing a quantum field theory for gravity within Wilson's modern formulation of renormalization. Naturally, this entails the exploration of

- the Asymptotic Safety program for Quantum Gravity.

- Horava-Lifshitz gravity.

- Causal Dynamical Triangulations.

- the connection of quantum gravity to the low-energy world.

- methods for characterizing quantum features of spacetime.

- relations between various quantum gravity programs.

On the technical side our group develops and employs cutting-edge

- functional renormalization group methods.

- covariant heat-kernel techniques for differential operators with non-relativistic scaling.