Research

My research interests are the following.

Theoretical plasma physics

Application of Hamiltonian mechanics, perturbation theory, chaos and fractal geometry to fusion plasmas. Kinetic theory of resonant transport at low collisionality. Tokamak plasmas with non-axisymmetric perturbations. Studies of energetic alpha particles and neoclassical computations for stellarator optimization.

Physics-informed machine learning

Regression and interpolation of equations representing laws of physics via Gaussian processes and artificial neural networks. Structure-preserving projection to sub-manifolds of lower dimension. Fast surrogates via interpolated Hamiltonian mappings. Bayesian methods for uncertainty quantification and reliability studies.

Structure-preserving numerics in application

Symplectic integration in systems with non-canonical formulation. Energy- and momentum-conserving collision operators. Combination of analytical and numerical methods to improve efficiency. Multi-disciplinary applications in acoustics and electrical engineering. High-performance computing and parallelization.

Selected publications

The complete list is under publications, generated from my Zotero library. Also on Google Scholar and ORCID.

• K. Rath, C. G. Albert, B. Bischl, U. von Toussaint. Symplectic Gaussian process regression of maps in Hamiltonian systems. Chaos (2021). Link
• C. G. Albert, S. V. Kasilov, W. Kernbichler. Accelerated methods for direct computation of fusion alpha particle losses within stellarator optimization. Journal of Plasma Physics 86(2), 815860201 (2020). Link
• C. G. Albert, S. V. Kasilov, W. Kernbichler. Symplectic integration with non-canonical quadrature for guiding-center orbits in magnetic confinement devices. Journal of Computational Physics 403 (2020). Link
• C. G. Albert, K. Rath. Gaussian processes for data fulfilling linear differential equations. Entropy 22(2), 152 (2020). Link
• Christopher Albert, Klaus Lichtenegger. Physikalische Rezepte: Mechanik. Springer Spektrum (2018). Link
• C. G. Albert, M. F. Heyn, S. V. Kasilov, W. Kernbichler, A. F. Martitsch, A. M. Runov. Kinetic modeling of 3D equilibria in a tokamak. Journal of Physics: Conference Series, Joint Varenna-Lausanne International Workshop (2016). Link
• C. G. Albert, M. F. Heyn, G. Kapper, S. V. Kasilov, W. Kernbichler, A. F. Martitsch. Hamiltonian approach for evaluation of toroidal torque from finite amplitude non-axisymmetric perturbations of a tokamak magnetic field in resonant transport regimes. 43rd EPS Conference on Plasma Physics, P1.051 (2016). PDF
• C. G. Albert, M. F. Heyn, G. Kapper, S. V. Kasilov, W. Kernbichler, A. F. Martitsch. Evaluation of toroidal torque by non-axisymmetric magnetic perturbations in tokamaks for resonant transport regimes using a Hamiltonian approach. Physics of Plasmas 23 (2016). Link
• C. G. Albert, G. Veronesi, E. Nijman, J. Rejlek. Patch impedance coupling of a structure-liner-fluid system based on direct experimental subsystem characterisation. Applied Acoustics 112, 14-24 (2016). Link