I am a postdoctoral researcher (in the group of Pierre Dèbes) funded by the Labex CEMPI at Laboratoire Paul Painlevé (Lille). From 2022 to 2024, I was a postdoctoral fellow at the Technion (with Danny Neftin) and the Open University of Israel (with Elad Paran). I completed my PhD in 2021 under the supervision of Bruno Deschamps and François Legrand at Laboratoire de Mathématiques Nicolas Oresme (Caen). Here is my Curriculum Vitae.
Mail Address: angelot.behajaina@univ-lille.fr
Research interests:
-Monodromy groups of rational functions
-Hilbert Irreducibility Theorem
-Arithmetic Dynamics
-Arithmetic of (skew) polynomials
-Function Field analogues
-Algebraic combinatorics
-Additive combinatorics
Works:
[1] Réalisations galoisiennes explicites de certaines familles de 2-groupes. J. Théo. Nom. Bordeaux (2020), Tome 32, no. 2, p. 605-630.
[2] Théorie inverse de Galois sur les corps des fractions rationnelles tordus. J. Pure App. Algebra (2021), Volume 225, no. 4, article 106549.
[3] 3-setwise intersecting families of the symmetric group (with Roghayeh Maleki, Toky Rasoamanana and Sarobidy Razafimahatratra). Discrete Mathematics (2021), Volume 344, no. 8, article 112467.
[4] On non-normal subgroup perfect codes (with Roghayeh Maleki and Sarobidy Razafimahatratra ). Australasian Journal of Combinatorics (2021), Volume 81, no.3, p. 474–479.
[5] On Cayley graphs over generalized dicyclic groups (with François Legrand). Linear Algebra and its Applications (2022), Volume 642, p. 264-284.
[6] Problèmes de plongement finis sur les corps non commutatifs (with Bruno Deschamps and François Legrand). Israel Journal of Mathematics (2022), Volume 249, p. 617–650.
[7] On the intersection density of the symmetric group acting on uniform subsets of small size (with Roghayeh Maleki and Sarobidy Razafimahatratra). Linear Algebra and its Applications (2023), Volume 664, p. 61-103.
[8] On BCH split metacyclic codes. Advances in Mathematics of Communications (2023), Volume 17, no.5, p. 1181-1195.
[9] A note on integer-valued skew polynomials. Journal of Algebra and Its Applications (2023), Volume 22, no. 8, article 2350171.
[10] On integral mixed Cayley graphs over non-abelian finite groups admitting an abelian subgroup of index 2 (with François Legrand). Linear Algebra and its Applications (2023), Volume 675, p. 256-273.
[11] The Collatz problem in Fp[x] and Fp[[x]] (with Elad Paran). Finite Fields and Their Applications (2023), Volume 91, article 102265.
[12] Twisted skew G-codes (with Martino Borello, Javier de la Cruz and Wolfgang Willems). Designs, Codes and Cryptography (2024), Volume 92, p. 1803-1821.
[13] Intersection density of imprimitive groups of degree pq (with Roghayeh Maleki and Sarobidy Razafimahatratra). Journal of Combinatorial Theory, Series A (2024), Volume 208, article 105922.
[14] On the stopping time of the Collatz map in F2[x] (with Gil Alon and Elad Paran). Finite Fields and Their Applications (2024), Volume 99, article 102473.
[15] On the maximum size of ultrametric orthogonal sets over discrete valued fields (with Noy Soffer Aranov). Designs, Codes and Cryptography (2024), Volume 92, p. 4035–4055.
[16] On the intersection spectrum of PSL2(q) (with Roghayeh Maleki and Sarobidy Razafimahatratra). Journal of Algebraic Combinatorics (2024), Volume 60, p. 899-927.
[17] The Collatz map in polynomial rings and in completions (with Elad Paran). Discrete Mathematics (2025), Volume 348, no.1, article 114273.
[18] The intersection densities of transitive actions of PSL2(q) with cyclic point stabilizers (with Roghayeh Maleki and Sarobidy Razafimahatratra). Journal of Algebraic Combinatorics (2025), Volume 62, article 60.
[19] Counting problems for orthogonal sets and sublattices in function fields (with Noy Soffer Aranov). Accepted at Mathematika.
[20] Integrally Hilbertian rings and the polynomial Schinzel hypothesis (with Pierre Dèbes). Submitted.
[21] The combinatorial nullstellensatz, Chevalley—Warning theorem and weak finitesatz in skew polynomial rings (with Gil Alon and Elad Paran). Submitted.
[22] Reducibility of separated polynomials and applications (with Joachim König and Danny Neftin). Draft.
[23] Monodromy groups of polynomials with composition length two and applications (with Joachim König and Danny Neftin). In preparation.
[24] Coprime values of polynomials over global fields (with Pierre Dèbes). In preparation.