My research is focused on the areas of Combinatorics, Finite Projective Geometry, Geometry of Tensors, Segre and Veronese Varieties, CSRD Codes, MRD Codes, Character Theory of Finite Groups, Graph Theory.
Publications
- N. Alnajjarine, M. Lavrauw, Nets of conics containing a double line in PG(2,q), q even, Submitted, 2025. (preprint).
- N. Alnajjarine, M. Lavrauw, Linear complete symmetric rank-distance codes, Designs, Codes and Cryptography, 2025. (preprint).
- N. Alnajjarine, M. Lavrauw, Webs and squabs of conics over finite fields, Finite Fields and Their Applications, 2024. (preprint).
- N. Alnajjarine, M. Lavrauw, A classification of planes intersecting the Veronese surface over finite fields of even order, Designs, Codes and Cryptography, 2023. (preprint).
- N. Alnajjarine, M. Lavrauw, T. Popiel, Solids in the space of the Veronese surface in even characteristic, Finite Fields and Their Applications, 2022. (preprint).
- N. Alnajjarine, M. Lavrauw, Determining the rank of tensors in F²q⊗F³q⊗F³q, MACIS 2019, Lecture Notes in Computer Science 11989, Springer, Cham, 2020. (preprint).
- N. Alnajjarine, R. Hafezieh, On character degrees of finite groups and some associated graphs, GTÜ Post Graduate Research Symposium and Publicity Days, 2018. (poster)
Software
- T233-GAP package for determining ranks and orbits of tensors in the tensor product space F²q⊗F³q⊗F³q.
Theses
- Master Thesis: On character degrees of finite groups and some associated graphs.
- Ph.D. Thesis: Orbits of tensors over finite fields.