My background
I am an Associate Professor in mathematics working at Department of Science and Technology of Linköping University, Sweden.In 1991 I obtained M.Sc. degree (Master of Science) in the field of theoretical physics at Physics Department of Adam Mickiewicz University in Poznan, Poland. 1992-1998 I was a Ph.D. student at the Department of Mathematics, Linköping University, where I obtained my Ph.D. in applied mathematics after defending my thesis: "Soliton Methods in the Theory of Integrable Mechanical Systems". 1999 I moved to Campus Norrköping, Linköping University, where I still work. In 2005 I became docent in applied mathematics.
Since 2013 I am a chairman of the largest union (Saco-S) at Linköping university, see In English | Saco-S Linköpings universitet (LiU).
My research
How to solve the unsolvable? Most systems of nonlinear differential eqations (be it ordinary or partial) are unsolvable by analytical methods, and very hard to approximatively solve by numerical methods (and you still may get very wrong results). My research is about the nonlinear differential equations that are called integrable; they have some additional geometric or algebraic structure that makes it possible to treat them analytically or with the help of methods of differential algebra and differential geometry. Such structures involve existence of sufficiently many integrals of motion and/or symmetries, multi-soliton solutions (tsunami waves can be modelled with the help of soliton solutions of various water propagation models), Lax or isomonodromic representations, multi-Hamiltonian structures or. separation relations. These structures may often lead to beautiful and sometimes unexpected links between seemingly unrelated classes of differential equations.I work closely with two colleagues: professor Maciej Blaszak and professor Blazej Szablikowski.
For more details about my research acitivities, see Krzysztof Marciniak's home page.
My teaching
Since many years I am responsible for the course TNIU75 (Linear algebra) for three programs, Bachelor's Programme in Air Transportation and Logistics, Bachelor's Programme in Civic Logistics and Bachelor of Science in Construction Engineering.More information about my teaching actuivities can be found at Krzysztof Marciniak's home page.
