Krzysztof Marciniak's home page

Linköping University, Department of Science and Technology (Institution för Teknik och Naturvetenskap)

Krzysztof Marciniak, Ph.D.

Associate professor (docent)

I am a senior lecturer in mathematics 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 Institute 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 where I still work. In March 2005 I became associate professor (docent) in applied mathematics. For my research interests, list of my publications and more, see below.

My coordinates.

Send a mail to me: krzma@itn.liu.se

Links to the Web of Mathematics

· Mathematical colloquia held at MAI (Department of Mathematics at Linköping University)

· nonlinear sciences archive at arXiv.org

· A list of "integrable" links

· Science Direct

· MathSciNet

· American Mathematical Society

· European Mathematical Society

· Swedish Mathematical Society

· London Mathematical Society

· Institute of Mathematics of Polish Academy of Sciences, the host of Banach Center

· 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 "

Research

I do 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 or Lagrange equations).

Current and past research interests:

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 Posson reductions of Hamiltonian operators and Hamiltonian pencils

Bi-cofactor systems and theory of geodesic equivalent dynamical systems

Stäckel transforms and Stäckel equivalent systems

· Some of my publications. My publications on MathSciNet and on arXiv.org.

· Curriculum Vitae (with a complete list of publications)

· Researchers I work or used to work with: Stefan Rauch, Maciej Blaszak, Hans Lundmark

The official web page of the conference

State-of-the-art of classical separability theory for differential equations

that was held January 6-11, 2004 at Campus Valla, Linköping University

Teaching

(mostly in Swedish)

· Schemaservern

· Envariabelanalys II (TNIU23) vt1 2012 för BI1

· Envariabelanalys I (TNIU22) ht2 2011 för BI1

· Linjär algebra (TNIU75) ht1 2011 för BI2, FL2, SL2

· 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 course will run again 2012 – depending on the interest. Contact me krzma@itn.liu.se if you are interested!