Per Alexandersson

About me

During spring 2020, I will mainly be at Institute Mittag–Leffler, for the Algebraic combinatorics program.

Since fall 2019, I work on a research project with Boris Shapiro at Stockholm university, and Petter Brändén (KTK). I am also collaborating with various researchers in the combinatorics group at KTH.

During 2017–2019, I was working as a postdoc with Svante Linusson at KTH (Stockholm). Before that, (2015–2017) I worked as a postdoc at University of Pennsylvania, with Jim Haglund, funded by a grant from the Knut and Alice Wallenberg foundation. In 2014, I worked as a postdoc at Universität Zurich, Schweiz with Valentin Féray.

My field of research is representation theory and combinatorics, more specifically, polynomials given by structure constants (Kostka coefficients, characters of the symmetric group) and Jack generalizations of these, as well as chromatic symmetric functions, LLT polynomials and so on. Recently, I have also found an interest in the cyclic sieving phenomenon.

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 favorite research tools are Mathematica, OEIS, FindStat, MathOverflow and WolframAlpha.

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 tilings, discrete dynamical systems, machine learning, neural networks and cellular automata.

Symmetric functions catalogue

Want a quick overview of symmetric functions and their generalizations? See this catalogue that I sometimes add things to.

Other projects

In my spare time, I tinker a bit with a flame fractal renderer written in Java. You can browse the source on Sourceforge.