Jan Roksvold

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Jan Roksvold

Ph.D. started in: 2011
Year of graduation: 2015
COINS consortium member: University of Tromsø
Supervised by: Hugues Verdure, Trygve Johnsen
Links: CristinDBLP
Research area: Cryptography
Project title: Matroidal structures
Project description: Finding new connections between codes, matroids, graphs, and combinatorial commutative algebra. Although mostly within the realm of pure mathematics, parts of the project has potential applications to the theory of error-correcting codes – in particular linear ones. I use the computer-algebra program MAGMA quite a lot, especially when looking for counterexamples in matroid- or code theory, or when calculating e.g. Betti-tables.

Publications:

  1. Trygve Johnsen, Jan Nyquist Roksvold, Hugues Verdure (2015). Betti numbers associated to the facet ideal of a matroid
  2. Jan Nyquist Roksvold (2015). Some combinatorial invariants determined by Betti numbers of Stanley-Reisner ideals
  3. Jan Nyquist Roksvold, Hugues Verdure (2013). The generalized weight polynomial – and how it is determined by Betti-numbers
  4. Inger Christin Borge, Arne Bernhard Sletsjøe, Jan Nyquist Roksvold (2011). Applying Jennings theory and the M-series to modular isomorphism problems
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