Research

Research interests

Number theory; modular forms; Mahler measure of a polynomial; elliptic curves.

Publications

1. On the zeros of odd weight Eisenstein series (Mathematika (to appear), preprint: arXiv:2312.12163) (joint with: Jan-Willem van Ittersum)

2. On the modulo p zeros of modular forms congruent to theta series (Journal of Number Theory (2024))

3. On Lehmer's question for integer-valued polynomials (J. Théor. Nombres Bordeaux (to appear), preprint: arXiv:2207.06990)

4. Critical points of modular forms (Int. J. Number Theory (to appear), preprint: arXiv:2204.00432) (joint with: Jan-Willem van Ittersum)

5. Exercising in complex Mahler measures: diamonds are not forever (preprint: arXiv:2109.14380) (joint with: Wadim Zudilin)

6. Hedgehogs in Lehmer's problem (Bull. Aust. Math. Soc. 105 (2022), no. 2) (joint with: Wadim Zudilin and Jan-Willem van Ittersum)

7. Special Zeta Mahler Functions (Res. Number Theory 8 (2022), no. 2)