I am a graduate student in mathematics at Stockholm University, currently on my last semester. My research interests are combinatorics, complex analysis and algebraic geometry. I am also a bit interested in special polynomials, for example real-rooted polynomials, and polynomials obtained from combinatorial statistics. Finally, I must admit that I have a soft spot for discrete dynamical systems and cellular automata.
List of publications
- Around Mutlivariate Schmidt-Spitzer Theorem, (2013), (work in progress)
- Stretched skew Schur polynomials are recurrent (2012) (submitted), pdf (arXiv).
- Schur polynomials, banded Toeplitz matrices and Widom's formula, Electr. Jour. Comb. 19, No.4 (2012), (pdf).
- (With B. Shapiro) Discriminants, symmetrized graph monomials, and sums of squares, Experimental Math. 21 No. 4 (2012) 353--361, pdf (arXiv).
- Lic. Thesis "On eigenvalues of the Schrödinger operator with a complex-valued polynomial potential" (2011), (pdf).
- 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.
Boris Shapiro is my primary advisor. At the moment, we are doing a multi-variate generalization of a classical result on asymptotics of eigenvalues of Toeplitz matrices.
- 2013, spring: Linear algebra II for teachers, semi-distance course.
- 2012, fall: Linear Algebra II campus course.
- 2012, spring: Responsible for the Mathematica course.
- 2011, fall: Mathematics D (basåret).
A couple years ago, I was part of a project writing new material for an introduction course: P. Alexandersson, T. Bergkvist, M. Leander, S. Lundqvist, Förberedande kurs i matematik (book), 2010. (Preprint)
I have a shorter text with Mathematica for researchers. It contains an introduction to Mathematica aimed for people with good mathematical maturity, but less experience with programming.
In my spare time, I tinker a bit with a flame fractal renderer in java. You can browse the source on Sourceforge.