I'm a number theorist, interested especially in the theory of modular forms. More precisely, I'm working on the theory of Eisenstein ideals using various approaches (Modular symbols, deformations of Galois representations...).
On a conjecture of H. Gupta (With David Zmiaikou, Discrete mathematics, Volume 312, Issue 8, 28 April 2012, Pages 1444–1452)
On the \(p\)-adic periods of the modular curve \(X(\Gamma_0(p) \cap \Gamma(2))\) (With Adel Betina, to appear in Trans. of AMS)
Higher Eisenstein elements, higher Eichler formulas and ranks of Hecke algebras (Preprint, September 2017)
Congruence formulae for Legendre modular polynomials (Preprint with Adel Betina, Avril 2017, submitted)