Krzysztof Marciniak, Ph.D., docent
I am a mathematician working at Department of Science and Technology (Institution för Teknik och Naturvetenskap, ITN) 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" (published in Papers 1-5). 1999 I moved to Campus Norrköping, Linköping University, where I still work. In March 2005 I became docent in applied mathematics. For my research interests, list of my publications, courses taught and more, see below.
Send a mail to me: email@example.com
Some links to math resources
nonlinear sciences archive at arXiv.org
Math Archives from University of Tennessee, Knoxville.
Eric Weisstein's World of Mathematics "A free service for the mathematical community provided by Wolfram Research, makers of Mathematica, with additional support from the National Science Foundation "
I perform research in the area of integrable differential equations, a branch of mathematics studying beautiful and unique properties of special classes of nonlinear differential equations. My research is often inspired by various equations of mathematical physics (like Korteveg-de Vries equation, /nonlinear/ Schrödinger equation, Harry Dym equation) or analytical mechanics (like Hamilton, Hamilton-Jacobi or Lagrange equations).
Curriculum Vitae/ (with the complete list of publications)
Integrable nonlinear ordinary and partial differential equations
Theory of separability for ordinary and partial differential equations
Separable Hamiltonian systems and their connections with infinite-dimensional integrable systems (soliton equations)
Differential-geometric description of integrable and separable differential equations
Solitons and soliton hierarchies
Dirac and Poisson reductions of Hamiltonian operators and Hamiltonian pencils
Bi-cofactor systems and theory of geodesic equivalent dynamical systems
Stäckel transforms and Stäckel equivalent systems
Quantum integrable and quantum separable systems
The official web page of the conference
that was held January 6-11, 2004 at Campus Valla, Linköping University
M.Sc. course Dynamical Systems, Royal University of Phnom Penh, Cambodia, May-June 2020
MSc course Dynamical Systems, University of Rwanda, KIgali, August-Septmeber 2018
Ph.D. course Dynamical Systems, Department of Mathematics, Makerere University, Kampala, Uganda, August/September 2017
MSc course Dynamical Systems, University of Rwanda, Butare, February-March 2016
A 12 hp Ph.D. course: Introduction to differential geometry – a modern approach to classical ideas of differential geometry: general topology, curves and surfaces in Rn, smooth manifolds, tensor fields, Riemannian geometry (Levi-Civita connection, parallel displacement, geodesics, curvature tensor) and more. The last run of the course (spring-fall 2016) is now finished. Contact me firstname.lastname@example.org if you are interested in taking the course.
Master course Dynamical systems, University of Rwanda, Butare, April-May 2015.
A 10 hp Ph.D. course: Calculus of variations and optimal control theory, was running in the Fall 2014. Plan of the course can be found here. Contact me email@example.com if you are interested in taking the course.
Some previous courses (with old exams etc.) – in reverse chronological order
Grundläggande kurs i matematik (TNG000) ht 2003 för MT1A och för MT1B (se även Sixten Nilssons hemsida)
Last modified: March 12, 2020