Publications

Near coincidences and nilpotent division fields

Joint with Jeremy Rouse.

Pacific J. Math. 342 (2026), no. 1, 79–113.

Paper

Minimal subgroups of GL₂(ℤ_S).

Joint with Jeremy Rouse.

J. Théor. Nombres Bordeaux 37 (2025), no. 2, 579–597.

Paper

Towards a classification of entanglements of Galois representations attached to elliptic curves.

Joint with Álvaro Lozano-Robledo and Jackson S. Morrow.

Rev. Mat. Iberoam. 39 (2023), no. 3, 803–844.

Paper

Coincidences of division fields.

Joint with Álvaro Lozano-Robledo.

Ann. Inst. Fourier (Grenoble) 73 (2023), no. 1, 163–202.

Paper Magma Code

A group theoretic perspective on entanglements of division fields.

Joint with Jackson S. Morrow.

Trans. Amer. Math. Soc. Ser. B 9 (2022), 827–858.

Paper Magma Code

Serre’s constant for elliptic curves over the rational numbers.

Joint with Enrique González-Jiménez.

Exp. Math. 31 (2022), no. 2, 518–536.

Paper Magma Code

Corrigendum to: Torsion subgroups of rational elliptic curves over the compositum of all D₄ extensions of the rational numbers.

J. Algebra 575 (2021), 274–284.

Paper Magma Code

Torsion groups of elliptic curves over the ℤ_p-extensions of ℚ.

Joint with Michael Chou, Ivan Krijan, and Filip Najman.

New York J. Math. 27 (2021), 99–123.

Paper Magma Code

Bounds of the rank of the Mordell-Weil group of jacobians of hyperelliptic curves.

Joint with Álvaro Lozano-Robledo and Erik Wallace.

J. Théor. Nombres Bordeaux 32 (2020), no. 1, 231–258.

Paper Magma Code and Data

On the torsion of rational elliptic curves over sextic fields.

Joint with Enrique González-Jiménez.

Math. Comp. 89 (2020), no. 321, 411–435.

Paper Magma Code

Groups of generalized G-type and applications to torsion subgroups of rational elliptic curves over infinite extensions of ℚ.

Joint with Maarten Derickx and Jeffrey Hatley.

Trans. London Math. Soc. 6 (2019), no. 1, 22–52.

Paper Magma Code

Torsion subgroups of rational elliptic curves over the compositum of all D₄-extensions of the rational numbers.

J. Algebra 509 (2018), 535–565.

Paper Magma Code

Torsion subgroups of rational elliptic curves over the compositum of all cubic fields.

Joint with Álvaro Lozano-Robledo, Filip Najman, and Andrew V. Sutherland.

Math. Comp. 87 (2018), no. 309, 425–458.

Paper Magma Code

On the ranks of elliptic curves with isogenies.

Joint with Hannah Goodwillie.

Int. J. Number Theory 13 (2017), no. 9, 2215–2227.

Paper Data

What is. . . an elliptic curve?

Joint with Álvaro Lozano-Robledo.

Notices Amer. Math. Soc. 64 (2017), no. 3, 241–243.

Paper

Elliptic curves with maximally disjoint division fields.

Joint with Jeffrey Hatley and James Ricci.

Acta Arith. 175 (2016), no. 3, 211–223.

Paper

On the number of isomorphism classes of CM elliptic curves defined over a number field.

Joint with Álvaro Lozano-Robledo.

J. Number Theory 157 (2015), 367–396.

Paper

An infinite family of Serre curves.

J. Number Theory 155 (2015), 226–247.

Paper

Siegel functions, modular curves, and Serre’s uniformity problem.

Albanian J. Math. 9 (2015), no. 1, 3–29.

Paper