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). Under revision at Journal of Algebraic Combinatorics.
[19] Counting problems for orthogonal sets and sublattices in function fields (with Noy Soffer Aranov). Submitted.
[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.
Collaborators: Gil Alon, Noy Soffer Aranov, Gautami Bhowmik, Martino Borello, Javier de la Cruz, Pierre Dèbes, Bruno Deschamps, Taehyeong Kim, Joachim König, François Legrand, Roghayeh Maleki, Danny Neftin, Elad Paran, Toky Rasoamanana, Sarobidy Razafimahatratra, Yuta Suzuki, Emma Weschler, Wolfgang Willems.