Academic Career and Research Areas
The research interests of Christian Kühn (b. 1981) lie at the interface of differential equations, dynamical systems and mathematical modelling. A key goal is to analyze multiscale problems and the effect of noise/uncertainty in various classes of ordinary, partial, and stochastic differential equations as well as in adaptive networks. The phenomena of central interest are: patterns, bifurcations and scaling laws. On a technical level, Kühn's work aims to build bridges between different areas of the study of dynamical systems.
After studying mathematics at Jacobs University Bremen (BSc 2005) and at the University of Cambridge (M.A.St. 2006), Kuehn received his PhD in Applied Mathematics from Cornell University in 2010. Subsequently he worked at the Max Planck Institute for the Physics of Complex Systems in Dresden as a postdoctoral researcher in the field of network dynamics. From 2011 to 2016 he was postdoctoral fellow at Vienna University of Technology in the Institute for Analysis and Scientific Computing and a Leibniz fellow at MFO in 2013. He joined TUM as an assistant professor in 2016.
- Richard-von-Mises Prize, GAMM (2017)
- Lichtenberg Professorship, VolkswagenStiftung (2016)
- Best Paper Award, Faculty for Mathematics and Geoinformation, TU Vienna (2014)
- Leibniz Fellow, Mathematisches Forschungsinstitut Oberwolfach (2013)
- APART-Fellow, Austrian Academy of Sciences (2012)
Key Publications (all publications)
Kühn C, Szmolyan P: “Multiscale geometry of the Olsen model and non-classical relaxation oscillations”. Journal of Nonlinear Science. 2015; 25(3): 583-629.Abstract
Kühn C: “Numerical continuation and SPDE Stability for the 2D cubic-quintic Allen-Cahn equation”. SIAM/ASA Journal on Uncertainty Quantification. 2015; 3(1): 762-789.Abstract
Kühn C: Multiple Time Scale Dynamics. Heidelberg/ New York/ Dordrecht/ London: Springer, 2015.Abstract
Kühn C: “A mathematical framework for critical transitions: normal forms, variance and applications”. Journal of Nonlinear Science. 2013; 23(3): 457-510.Abstract
Berglund N, Gentz B, Kühn C: “Hunting French ducks in a noisy environment”. Journal of Differential Equations. 2012; 252(9): 4786-4841.Abstract