Research
I am interested in Algebra, Geometry, Number Theory and Applications. More precisely, I am concerned with number theory and algebraic geometry with an emphasis on effective aspects.
Preprints
Constructing Field Extensions from Isogenies between Abelian Varieties
Hopf-Galois extensions revisited
Submitted papers
Tony Ezome, Brice Miayoka Moussolo and Régis Freguin Babindamana: Rational points of some genus 3 curves from the rank 0 quotient strategy, availlable on arXiv here.
Publications
10. Johnathan Djella Legnongo, Tony Ezome and Florian Luca: Bad witnesses for a composite number, Acta Arithmetica, to appear, availlable on arXiv here
9. Jean-Marc Couveignes and Tony Ezome: The equivariant complexity of multiplication in finite fields extensions. Journal of algebra, 622, 694-720 (2023), https://doi.org/10.1016/j.jalgebra.2023.01.022
8. Tony Ezome and Cornelius Greither: Minimal Hopf-Galois Structures on Separable Field Extensions. Note di Matematica, 41 (2021), no. 1, 55-67, doi:10.1285/i15900932v41n1p55
7. Tony Ezome and Mohamadou Sall: On Finite Field Arithmetic in Characterisitc 2. Finite Fields and Their Applications, 68 (2020), 101739, https://doi.org/10.1016/j.ffa.2020.101739
6. Tony Ezome and Mohamadou Sall. Normal bases using 1-dimensional algebraic group. Journal of Symbolic Computation, 101 (2020), 152-169, https://doi.org/10.1016/j.jsc.2019.07.002
5. Jean-Marc Couveignes and Tony Ezome. Computing functions on Jacobians and their quotients. London Mathematical Society J. Comput. Mat., 18 (2015), no.1, 555-577, doi:10.1112/S1461157015000169
4. Tony Ezome. Tests de primalité et de pseudo-primalité. Publications Mathématiques de Besançon, pages 89-109, 2013, doi:10.5802/pmb.a-153
3. Tony Ezome and Reynald Lercier. Elliptic periods and primality proving. J. Number Theory, 133 (2013), no. 1, 343-368, https://doi.org/10.1016/j.jnt.2012.07.007
2. J.-M Couveignes, T. Ezome, R. Lercier. A faster pseudo-primality test. Rend. Circ. Mat. Palermo (2) 61 (2012), no.2, 261-278, doi:10.1007/s1225-012-0088-0
1. J.-M. Couveignes and Tony Ezome: Research Report 0642118 DGA/CELAR to the French Directorate-General for Armaments, 2008
Manuscripts (PhD and Master's Degree)
1. PhD (Elliptic curves, Cyclotomy and Primality), pdf
2. Master's degree (Surfaces of Mean Curvature 1 in Hyperbolic 3-Space), pdf