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
-Function Field analogues
-Combinatorics
Some works:
[1] Théorie inverse de Galois sur les corps des fractions rationnelles tordus. J. Pure App. Algebra (2021), Volume 225, no. 4, article 106549.
[2] 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.
[3] The Collatz problem in Fp[x] and Fp[[x]] (with Elad Paran). Finite Fields and Their Applications (2023), Volume 91, article 102265.
[4] Twisted skew G-codes (with Martino Borello, Javier de la Cruz and Wolfgang Willems). Designs, Codes and Cryptography (2024), Volume 92, p. 1803-1821.
[5] 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.
[6] 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.
[7] 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.
[8] On the intersection spectrum of PSL2(q) (with Roghayeh Maleki and Sarobidy Razafimahatratra). Journal of Algebraic Combinatorics (2024), Volume 60, p. 899-927.
[9] 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.
[10] Counting problems for orthogonal sets and sublattices in function fields (with Noy Soffer Aranov). Mathematika (2026), Volume 72, Issue 2.
[11] Integrally Hilbertian rings and the polynomial Schinzel hypothesis (with Pierre Dèbes and Joachim König). Submitted.
[12] The Davenport-Lewis-Schinzel problem on the reducibility of f(X)-g(Y) (with Joachim König and Danny Neftin).
[13] Monodromy groups of polynomials of composition length 2 (with Joachim König and Danny Neftin).