Tobias König

Dr. Tobias König is a faculty member at Goethe University Frankfurt, specifically within the Department of Computer Science and Mathematics, Institute of Mathematics, under the Focus Analysis and Numerics. He holds the academic rank of Dr. and is actively engaged in teaching and research in the areas of Partial Differential Equations, Functional Analysis, and Nonlinear Analysis.

Research Interests: Dr. König's research is centered around Partial Differential Equations (PDEs), particularly in the context of nonlinear equations, functional inequalities, and geometric analysis. His work often involves the study of stability and symmetry in solutions to variational problems, with applications to fast diffusion equations, Q-curvature problems, and fractional PDEs.

Teaching Activities: He has been actively involved in teaching a variety of courses, including Linear Partial Differential Equations, Functional Analysis, and Mathematics for Physics Students. His teaching roles have ranged from assisting in lectures to independently leading courses and seminars.

Publications: Dr. König has contributed to numerous high-impact publications in leading mathematical journals, focusing on topics such as stability inequalities, blow-up analysis, and critical elliptic equations. His recent work includes studies on the fractional Caffarelli–Kohn–Nirenberg inequality and sharp extinction rates for diffusion equations.