I follow an open science policy. All my publications are available through inspire.

- The first graduate textbook on the Asymptotic Safety program is now available:

Martin Reuter und Frank Saueressig

*Quantum Gravity and the Functional Renormalization Group: The Road towards Asymptotic Safety*

Cambridge Monographs on Mathematical Physics (Camb. Univ. Press, Cambridge, UK, 2019)

- A brief introductory exposition of Asymptotic Safety is given in:

*Asymptotic Safety in Quantum Gravity*,

A. Nink, M. Reuter and F. Saueressig, Scholarpedia (2013) 8(7):31015.

- General review summarizing the status of the program:

*Quantum Einstein Gravity*,

M. Reuter and F. Saueressig, New J. Phys. 14 (2012) 055022, arXiv:1202.2274.

- Topical reviews:

*Asymptotically safe cosmology - a status report*,

A. Bonanno and F. Saueressig, Compte Rendus Physique 18 (2017) 254, arXiv:1702.04137.

*Black holes within Asymptotic Safety*,

B. Koch and F. Saueressig, Int. J. Mod. Phys. A29 (2014) 1430011, arXiv:1401.4452.

*Asymptotic Safety, Fractals, and Cosmology*,

M. Reuter and F. Saueressig, Lect. Notes Phys. 863 (2013) 185, arXiv:1205.5431.

H. Gies, B. Knorr, S. Lippoldt and F. Saueressig,

Phys. Rev. Lett. 116 (2016) 211302, arXiv:1601.01800 [hep-th].

The renormalization group flow of the Einstein-Hilbert action supplemented by the two-loop counterterm found by Goroff and Sagnotti exhibits the non-Gaussian fixed point crucial for Asymptotic Safety. The new operator corresponds to an irrelevant direction and does not introduce a undetermined coupling constant.

[2]

E. Manrique, S. Rechenberger and F. Saueressig,

Phys. Rev. Lett. 106 (2011) 251302, arXiv:1102.5012 [hep-th].

We lay the ground work for studying renormalization group flows of gravity in the ADM-formalism. It is shown that Asymptotic Safety also holds when the beta functions obtained within the Einstein-Hilbert projection are continued to Lorentzian signature. The techniques developed are also suitable for computing renormalization group flows within Horava-Lifshitz gravity.

[3]

D. Benedetti, P. F. Machado and F. Saueressig,

Mod. Phys. Lett. A 24 (2009) 2233, arXiv:0901.2984 [hep-th].

This is the first time that a non-perturbative computation based on the gravitational effective average action disentangles the running coupling constants associated with the square of the Ricci-scalar and the square of the Riemann tensor. The separation of tensor structures has profound consequences for the stability coefficients associated with Asymptotic Safety: instead of a pair of complex coefficients seen in the Einstein-Hilbert case, the computation exhibits 4 real critical exponents. Only three coefficients turn out to encode relevant coupling constants, providing strong evidence for the predictiveness of Asymptotic Safety.

[4]

D. Robles-Llana, M. Rocek, F. Saueressig, U. Theis and S. Vandoren,

Phys. Rev. Lett. 98 (2007) 211602, arXiv:hep-th/0612027.

We determine the hypermultiplet moduli space of Type IIB string theory
compactified on a generic Calabi-Yau threefold including
all perturbative string corrections and a wide class
of non-perturbative corrections originating from *D(-1)* and *D1*-brane
instanton contributions.

[5]

M. Reuter and F. Saueressig, Phys. Rev. D 65 (2002) 065016, arXiv:hep-th/0110054.

The work constructs the phase diagram of Quantum Einstein Gravity in the Einstein-Hilbert approximation. In particular, it is shown that the non-Gaussian fixed point, being at the heart of the Asymptotic Safety program, is connected to a classical regime by continuous renormalization group trajectories.