Hans Lundmark's home page

About me

I'm a Senior Lecturer (universitetslektor & docent) at the Department of Mathematics (MAI), Linköping University, Sweden.

Research

I work in an area of mathematics called integrable systems; here's a brief summary of my research. Very roughly speaking, an integrable system is a system of differential equations that can be solved exactly with analytical methods.

Research highlights

Here's a selection of a few interesting things that I've come across in my research. Follow the links for explanations, movies of peakons, etc.

The explicit n-peakon solution formula for the Degasperis–Procesi equation.
Shockpeakon solutions of the Degasperis–Procesi equation.
The cubic string. An interesting non-selfadjoint third-order spectral problem.
The Canada Day theorem. A curious identity satisfied by the minors of a symmetric matrix.
And some classical mechanics: the concept of (bi-)cofactor systems, including the "2 implies n" theorem and the multiplication theorem for bi-cofactor systems.

Teaching

I enjoy teaching, and I have plenty of teaching experience from many of the subjects offered by our department at the undergraduate level (calculus in one or several variables, linear algebra, vector calculus, complex analysis, Fourier analysis, ordinary and partial differential equations, discrete mathematics, mathematical biology, applied mathematics, etc.).

Mina undervisningssidor.
Kontaktuppgifter. Mitt kontor ligger i hus B (rum 3A:666, en trappa upp mellan ingång 21 och 23; se karta). Du är välkommen att titta in om du har frågor om matematik.

Linjärtransformerade Linköpingslektorer. Illustrerade exempel på linjära avbildningar i planet.

Complex analysis. Visualization of complex-valued functions using the domain coloring technique.
Matrix multiplication: an interactive micro-course for beginners.

Miscellaneous

Siteswap state diagrams simplified. My very modest contribution to the mathematical theory of juggling.
Notes about the computer algebra system Mathematica. Just a few things that I'd like to remember.

Seminariearkiv. Lista över föredrag i serien Anspråkslösa seminariet som Claes Waksjö och jag organiserade 1996–1998.
Archive of Integrable systems seminars given at our department once upon a time.

Last modified 2025-10-17. Hans Lundmark (hans.lundmark@liu.se)