*Minimal Subgroups of*GL_{2}(**Z**_{S}),

joint with Jeremy Rouse

(arXiv version)

*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.)

*A group theoretic perspective on entanglements of division fields,*

joint with Jackson S. Morrow

(Trans. Amer. Math. Soc. Ser. B9(2022), 827–858., Magma Code)

*Coincidences of division fields*,

joint with Álvaro Lozano-Robledo

(Ann. Inst. Fourier (Grenoble)73(2023), no.1, 163–202., 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, Magma Code) *Torsion groups of elliptic curves over***Z**_{p}-*extensions of***Q**,

joint with Michael Chou, Ivan Krijan, and Filip Najman

(New York J. Math. 27 (2021) 99–123, 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, Magma Code and Data) -
*Serre's constant of elliptic curves over the rationals,*

joint with Enrique González Jiménez

(Exp. Math. (2020), no. 0, 1–19, Magma Code) *On the torsion of rational elliptic curves over sextic fields*,

joint with Enrique González Jiménez

(Math. Comp. 89 (2020), 411-435 , 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(1) (2019), 22-52 , Magma Code)*Torsion subgroups of rational elliptic curves over the compositum of all D*_{4}-extensions of the rational numbers,

(J. Algebra 509 (2018), 535–565, Magma Code)-
*Torsion points on 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), 425-458, Magma Code) *On the ranks of elliptic curves with isogenies,*

joint with Hannah Goodwillie

(Int. J. Number Theory 13 (2017), no. 9, 2215–2227, Data)*What is... an elliptic curve*,

joint with Álvaro Lozano-Robledo

(Notices Amer. Math. Soc. 64 (2017), no. 3, 241–243)*Elliptic curves with maximally disjoint division fields,*

joint with Jeffrey Hatley and James Ricci

(Acta Arith., Vol. 175, No. 3 (2016), 211-223)*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)-
*An infinite family of Serre curves,*

(J. Number Theory 155 (2015), 226–247–247) -
*Siegel functions, modular curves, and Serre's uniformity problem*,

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