Research

My research is focused on the areas of character theory of finite groups, combinatorics, finite projective geometry and geometry of tensor product spaces.

Publications:

  • N. Alnajjarine, M. Lavrauw, “A classification of planes intersecting the Veronese surface over finite fields of even order”, Submitted. (Preprint).
  • N. Alnajjarine, M. Lavrauw and T. Popiel, “Solids in the space of the Veronese surface in even characteristic”, Finite Fields and Their Applications. (preprint).
  • N. Alnajjarine and M. Lavrauw, “Determining the rank of tensors in F2qF3qF3q”,MACIS 2019, Lecture Notes in Computer Science 11989, Springer, Cham, 2020 (preprint).
  • Poster: On character degrees of finite groups and some associated graphs, GTÜ Post Graduate Research Symposium and Publicity Days, 2018.

Software: T233-GAP package for determining the rank distribution and the orbit of a 3-fold tensor in the 2×3×3-tensor product space over the finite field Fq.

Master Thesis: On character degrees of finite groups and some associated graphs (PDF).

Ph.D. Thesis: Orbits of tensors over finite fields (PDF).