I am Associate Professor in Mathematics at Umeå University.
My main area of research is graph theory and combinatorics. Here I study both deterministic structural problems and problems regarding the properties of various random graph models. I have mainly done pure research in these two fields but I have also applied these results and methods to problem from physics, computer science, and more recently voting theory.
Allan Lo, K. Markström F-factors in hypergraphs via absorption, Graphs and Combinatorics, Vol 30, No 2, 2014.
Klas Markström Two questions of Erdös on hypergraphs above the Turan threshold, Journal of Graph Theory, Vol 76, No 2, 2014
Walter Vinci, Klas Markström, Sergio Boixo, Aidan Roy, Federico M. Spedalieri, Paul A. Warburton, Simone Severini Hearing the shape of Ising models: on the distinguishability power of Physics Scientific Reports, July, 2014.
Quantum Bose-Hubbard model with an evolving graph as a toy model for emergent spacetime A Hamma, F Markopoulou, S Lloyd, F Caravelli, S Severini, K Markström, Physical Review D 81 (10), 104032, 2010.
Perfect matchings (and Hamilton cycles) in hypergraphs with large degrees K Markström, A Ruciński, European Journal of Combinatorics 32 (5), 677-687, 2011.
Expansion properties of random Cayley graphs and vertex transitive graphs via matrix martingales D Christofides, K Markström, Random Structures & Algorithms 32 (1), 88-100, 2008.