I am a temporary lecturer in mathematics at Stockholm University and will be teaching
fall 2013 and spring 2014. During this time I am looking around for a suitable post-doc position.
In spring 2013 I defended my thesis titled _Combinatorial Methods in Complex Analysis_,
where Boris Shapiro
was my primary advisor. My research interests are mainly combinatorics,
complex analysis and algebraic geometry.
My research my favorite research tools are _Mathematica_, _OEIS_, _WolframAlpha_ and _Google_.
I am also a bit interested in special polynomials,
for example real-rooted polynomials, and polynomials obtained from
Finally, I must admit that I have a soft spot for discrete dynamical systems,
machine learning, neural networks and cellular automata.
##List of publications
* Combinatorial proof of a Kostka analogue of the K-saturation theorem, (2013), (submitted), (arxiv)
* (With B. Shapiro) Around Mutlivariate Schmidt-Spitzer Theorem, (2013), (work in progress), (arXiv)
* Stretched skew Schur polynomials are recurrent, *Journal of Combinatorial Theory, Series A 122C (2014) 1-8*, (electronic version)
* Schur polynomials, banded Toeplitz matrices and Widom's formula, *Electr. Jour. Comb. 19, No.4 (2012)*
* (With B. Shapiro) Discriminants, symmetrized graph monomials, and sums of squares, *Experimental Math. 21 No. 4 (2012) 353-361*
* On eigenvalues of the Schrödinger operator with an even complex-valued polynomial potential, *CMFT 12 No.2 (2012) 465-481*
* (With A. Gabrielov) On eigenvalues of the Schrödinger operator with a complex-valued polynomial potential, *CMFT 12 No.1 (2012) 119-144*
This fall, I give lectures in Linear Algebra II
I am also involved in a problem solving course, the Kappa math competition, and some seminars for the first freshman math course.
Earlier, I have been teaching some preparatory courses, *Mathematics D*, and *Slumpmässighet och spel*
and the online versions of *Förberedande kurs i matematik, Matematik för naturvetare, Matematik för samhällsvetare*,
and I have written part of the course literature for the first of the latter courses.
In my spare time, I tinker a bit with a flame fractal renderer written in Java.
You can browse the source on Sourceforge
On this website, you will also find several of my smaller projects.
They revolve around
* Generative art
* Various texts related to mathematics
##About this website
I use MathJax for rendering mathematics, and a Markdown converter for the contents.
The server side code is written in PHP.