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.