Research interests
Number theory; modular forms; Mahler measure of a polynomial; elliptic curves.
Publications
On the asymptotic Mahler measure of Gaussian periods (preprint: arXiv:2507.09303) (joint with: Gunther Cornelissen and David Hokken)
On twisted period functions and Moments of a weighted mean square of Dirichlet L-functions on the critical line (preprint: arXiv:2506.22014) (joint with: Sébastien Darses and Emmanuel Royer)
Random walks through the areal Mahler measure: steps in the complex plane (preprint: arXiv:2503.22536) (joint with: Matilde Lalín, Siva Sankar Nair and Subham Roy)
On the zeros of odd weight Eisenstein series (Mathematika 71 (2025), no. 1 ) (joint with: Jan-Willem van Ittersum)
On the modulo p zeros of modular forms congruent to theta series (Journal of Number Theory 262 (2024))
On Lehmer's question for integer-valued polynomials (J. Théor. Nombres Bordeaux 36 (2024), no. 2)
Critical points of modular forms (Int. J. Number Theory 20 (2024), no. 10) (joint with: Jan-Willem van Ittersum)
Exercising in complex Mahler measures: diamonds are not forever (preprint: arXiv:2109.14380) (joint with: Wadim Zudilin)
Hedgehogs in Lehmer's problem (Bull. Aust. Math. Soc. 105 (2022), no. 2) (joint with: Wadim Zudilin and Jan-Willem van Ittersum)
Special Zeta Mahler Functions (Res. Number Theory 8 (2022), no. 2)