Thomas joined the Department of Mathematics in September 2016. Thomas Mach’s research interests lie in numerical linear algebra. He focuses on structured preserving and structure exploiting algorithms. Numerical linear algebra algorithms can become orders of magnitude faster by exploiting the available structure in matrices. Structure preservation on the other hand can also be expensive, but necessary to preserve physical properties. Some years ago, Thomas investigated the solution of boundary element and eigenvalue problems with hierarchical matrices. Recently, he has worked on backward stable algorithm for the unitary and Hamiltonian eigenvalue problem, and for polynomial root finding. Currently, his research further involves inverse eigenvalue problem, adaptive cross approximation, inverse integral equations, and polynomial and structured eigenvalue problems.
Thomas holds a PhD degree from the University of Chemnitz, Germany, where he also obtained an undergraduate degree. During his PhD he worked for the Max Planck Institute for Dynamics of Complex Technical Systems. The last four years Thomas worked as a postdoctoral researcher in Raf Vandebril’s group at KU Leuven, Belgium.
Full list of publications can be found on google scholar page.