About me

Hello! I am Henrik Eisenmann, currently a postdoctoral researcher at IGPM RWTH Aachen.

Research interestes

My current focus lies in adaptive algorithms for finding approximate solutions to partial differential equations. In my time at IGPM, I have already learned a lot about this topic. For a glimpse of our work, see my paper with Markus Bachmayr, Martin Eigel and Igor Voulis accessible here.

Since my master's thesis, I've been intrigued by eigenvalue problems. My master thesis was about solving eigenvalue problems in high dimensions utilizing special tensor formats. Subsequently, during my doctoral studies, I also learned about a generalization of eigenvalue problems with multiple eigenvalue parameters and equations. A related piece of work with Yuji Nakatsukasa can be found here.

Furthermore, I'm deeply involved in exploring tensors, their multilinear aspects, and compressed low-rank tensor formats. Low-rank tensor formats are an interesting object to find and compress approximate solutions to PDEs. For parabolic equations, this work with my Markus Bachmayr, Emil Kieri and André Uschmajew and this collaboration with Markus Bachmayr and André Uschmajew are noteworthy. They are concerned with the well-posedness of underlying infinite dimensional problems, whose solutions are approximated via actual numerical schemes. Another interesting projects concerns an abstract property of low-rank tensors. André Uschmajew and I computed the maximal distance a rank-two tensor can ever have from the set of rank-one tensors in this paper.

Personal

I am currently active in the Handball club Schwarz-Rot Aachen. I am happy with the previous season, where we clinched the third position in the Kreisklasse 1 Aachen/Düren.

Two years ago, I also started playing chess. It is a very captivating game, and fun for people at multiple levels of expertise.