Sören Kraußhar

Prof. Dr. Sören Kraußhar is a Professor in the Department of Mathematics and Mathematics Education at the Faculty of Educational Science, University of Erfurt. His office is located in Teaching Building 2, Room 109b. He is actively involved in research and teaching in advanced mathematical analysis, with particular expertise in hypercomplex function theory and its applications to physics and engineering problems.

Prof. Kraußhar's research spans Dirac and Laplace operators on manifolds, complex and hypercomplex analysis, slice monogenic functions, harmonic and hypercomplex automorphic forms, parabolic partial differential equations, and non-commutative geometry. His work represents a sophisticated integration of pure mathematical theory with practical applications in physics, particularly in magnetohydrodynamics and quantum mechanics. He has developed significant theoretical frameworks for octonionic and quaternionic analysis that extend traditional complex analysis to more complex algebraic structures.

His publication record demonstrates a consistent progression from classical complex analysis toward more advanced hypercomplex analysis, with notable contributions to octonionic Bergman and Szegö kernels, Cauchy formulas in discrete settings, and variational principles with applications to magnetohydrodynamic equations. His recent work shows increasing focus on fractional calculus applications within hypercomplex settings and eigenvalue problems for slice functions.

Prof. Kraußhar maintains active collaborations with researchers including F. Colombo, D. Legatiuk, and I. Sabadini, resulting in publications in high-impact journals such as Complex Analysis and Operator Theory, Journal of Geometry and Physics, and Mathematical Methods in the Applied Sciences. His work continues to push theoretical boundaries while maintaining relevance to physical applications, particularly in differential equations and mathematical physics.