My main scientific interests lie in the fields of Optical Communication and Condensed Matter Theory. I am particularly interested in the following topics in Optical Communication:

• Nonlinearity compensation algorithms
• Nonlinearity-tolerant high-dimensional modulation
• Applications of the Nonlinear Fourier Transform
• Forward error correcting codes
• Geometric and probabilistic shaping
• Space-division multiplexing
• Optical fiber communication system modeling and simulation

As time permits, I like to stay up to date with developments in condensed matter theory, with a focus on strongly correlated electron systems. I am interested in the effects of spatial correlations in the following contexts:

• Collective excitations
• High-temperature superconductivity
• Ultracold atoms
• Kondo effect
• Non-equilibrium phenomena

To address such physics, I have co-developed quantum impurity solvers based on continuous-time quantum Monte Carlo algorithms and a class of methods known as diagrammatic extensions of dynamical mean-field theory. We have recently summarized the progress in this field in a review, which has published in Reviews of Modern Physics.
I am a contributor to the open source scientific computational libraries TRIQS and ALPS.