Tomas Dohnal

Tomas Dohnal is a Professor at the Institute of Mathematics of Martin Luther University Halle-Wittenberg, Germany, since 2018. His research focuses on Nonlinear Partial Differential Equations (PDEs), Dispersive Waves, Bifurcation Theory, and Wave Propagation in Periodic Structures. He has held academic positions at Technical University Dortmund, Karlsruhe Institute of Technology, ETH Zurich, and University of New Mexico.

• Research Interests: Nonlinear PDEs, Surface Plasmon Polaritons, Gap Solitons in Photonic Crystals, Spectral Problems, Rigorous Asymptotics, Numerical Analysis
• Grants: DFG grants on nonlinear wavepacket asymptotics and moving gap solitons in periodic media
• Students: Supervised PhD students including Maximilian Hanisch, Matthias Ionescu-Tira, and Daniel Tietz; Master students at multiple institutions
• Software: Co-developer of the PDE2PATH MATLAB package for bifurcation analysis

Publications span topics in Maxwell equations with interfaces, PT-symmetric problems, homogenization of periodic media, and nonlinear wave dynamics. His work often bridges rigorous mathematical analysis with numerical methods.

Teaching includes courses on Dispersive PDEs, Asymptotic Methods, Nonlinear Analysis, and Wave Propagation. He has taught at TU Dortmund, Karlsruhe Institute of Technology, and Martin Luther University.